diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img1.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img1.JPG new file mode 100644 index 000000000..93b58226e Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img1.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img2.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img2.JPG new file mode 100644 index 000000000..a1ebdf059 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez2-img2.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img1.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img1.JPG new file mode 100644 index 000000000..5eabda352 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img1.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img2.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img2.JPG new file mode 100644 index 000000000..cd441527e Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img2.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img3.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img3.JPG new file mode 100644 index 000000000..f1c3e5af4 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez3-img3.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img1.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img1.JPG new file mode 100644 index 000000000..522cc7e38 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img1.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img2.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img2.JPG new file mode 100644 index 000000000..4f4c2c2d3 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img2.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img3.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img3.JPG new file mode 100644 index 000000000..9c721ecac Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img3.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img4.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img4.JPG new file mode 100644 index 000000000..342169418 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img4.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img5.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img5.JPG new file mode 100644 index 000000000..fa46f8947 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img5.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img6.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img6.JPG new file mode 100644 index 000000000..25e6ab686 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img6.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img7.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img7.JPG new file mode 100644 index 000000000..2a551a142 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez4-img7.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img1.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img1.JPG new file mode 100644 index 000000000..cdbf5857c Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img1.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img10.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img10.JPG new file mode 100644 index 000000000..4fd81b0b7 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img10.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img2.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img2.JPG new file mode 100644 index 000000000..20dc24c64 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img2.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img3.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img3.JPG new file mode 100644 index 000000000..e0110d61b Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img3.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img4.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img4.JPG new file mode 100644 index 000000000..cb229bd85 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img4.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img5.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img5.JPG new file mode 100644 index 000000000..7febbab7e Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img5.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img6.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img6.JPG new file mode 100644 index 000000000..4b452f1cc Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img6.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img7.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img7.JPG new file mode 100644 index 000000000..686270b57 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img7.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img8.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img8.JPG new file mode 100644 index 000000000..5fa148b2f Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img8.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img9.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img9.JPG new file mode 100644 index 000000000..1326e7ef2 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez5-img9.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img0.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img0.JPG new file mode 100644 index 000000000..121db116d Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img0.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img1.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img1.JPG new file mode 100644 index 000000000..c7c022bba Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img1.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img2.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img2.JPG new file mode 100644 index 000000000..4002a8557 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img2.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img3.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img3.JPG new file mode 100644 index 000000000..590df8555 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img3.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img4.JPG b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img4.JPG new file mode 100644 index 000000000..148a3147c Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/img/lez6-img4.JPG differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.aux index f1204977d..2fa684f08 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.aux @@ -7,7 +7,9 @@ \@writefile{toc}{\contentsline {section}{\numberline {1.1}Argomento}{1}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {1.2}Loss}{1}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Absolute Loss}{1}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of domain of $K_{NN}$}}{2}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.2.2}Square Loss}{2}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.3}Example of information of square loss}{2}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.4}labels and losses}{3}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.5}Example TF(idf) documents encoding}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Example of domain of $K_{NN}$}}{2}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.3}Example of information of square loss}{3}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.4}labels and losses}{4}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.5}Example TF(idf) documents encoding}{6}\protected@file@percent } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.log index 0955e6091..7397f89aa 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 15 APR 2020 21:01 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 14:50 entering extended mode **./lecture2.tex (lecture2.tex @@ -333,129 +333,148 @@ Underfull \hbox (badness 10000) in paragraph at lines 17--30 [] +<../img/lez2-img1.JPG, id=1, 99.37125pt x 78.2925pt> +File: ../img/lez2-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez2-img1.JPG used on input line 36. +(pdftex.def) Requested size: 155.99762pt x 122.92067pt. -Underfull \hbox (badness 10000) in paragraph at lines 32--35 +Underfull \hbox (badness 10000) in paragraph at lines 32--42 [] + +LaTeX Warning: `h' float specifier changed to `ht'. + [1 {C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +<../img/lez2-img2.JPG, id=16, 173.14688pt x 85.06781pt> +File: ../img/lez2-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez2-img2.JPG used on input line 53. +(pdftex.def) Requested size: 155.99762pt x 76.64468pt. + +Underfull \hbox (badness 10000) in paragraph at lines 49--58 [] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] -Underfull \hbox (badness 10000) in paragraph at lines 63--81 +Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] -[2] -Underfull \hbox (badness 10000) in paragraph at lines 81--86 +[2 <../img/lez2-img1.JPG> <../img/lez2-img2.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 76--94 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 94--99 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 110--115 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] [3] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 123--128 [] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - -[4] -Underfull \hbox (badness 10000) in paragraph at lines 164--171 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -Underfull \hbox (badness 10000) in paragraph at lines 172--182 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -[5] -Underfull \hbox (badness 10000) in paragraph at lines 189--199 +[4] [5] +Underfull \hbox (badness 10000) in paragraph at lines 177--184 [] -[6] (lecture2.aux) ) + +Underfull \hbox (badness 10000) in paragraph at lines 185--195 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 202--212 + + [] + +[6] [7] (lecture2.aux) ) Here is how much of TeX's memory you used: - 5099 strings out of 480934 - 68776 string characters out of 2909670 - 333073 words of memory out of 3000000 - 20853 multiletter control sequences out of 15000+200000 + 5114 strings out of 480934 + 69055 string characters out of 2909670 + 336089 words of memory out of 3000000 + 20864 multiletter control sequences out of 15000+200000 546309 words of font info for 55 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 - 42i,10n,50p,316b,142s stack positions out of 5000i,500n,10000p,200000b,50000s - -Output written on lecture2.pdf (6 pages, 165099 bytes). + 42i,10n,50p,316b,234s stack positions out of 5000i,500n,10000p,200000b,50000s + < +C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmr8.pfb> +Output written on lecture2.pdf (7 pages, 186460 bytes). PDF statistics: - 276 PDF objects out of 1000 (max. 8388607) + 281 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) - 1 words of extra memory for PDF output out of 10000 (max. 10000000) + 11 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.pdf index fe5afc575..86cbae9ef 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.synctex.gz index 1b58d8c43..34665eb57 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.tex b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.tex index 1fc7a4fe6..647715836 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.tex +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture2.tex @@ -30,7 +30,14 @@ One example of loss is the absolute loss: absolute difference between numbers\\ \section{Loss} \subsection{Absolute Loss} $$\ell(y,\hat{y} = | y - \hat{y} | \Rightarrow absolute \quad loss\\ $$ ---- DISEGNO ---\\\\ +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez2-img1.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ +\\ Some inconvenient properties: \begin{itemize} @@ -40,8 +47,14 @@ Some inconvenient properties: \subsection{Square Loss} $$ \ell(y,\hat{y} = ( y - \hat{y} )^2 \Rightarrow \textit{square loss}\\$$ --- DISEGNO ---\\ -Derivative : +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez2-img2.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ +\\Derivative : \begin{itemize} \item more informative \item and differentible diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.aux index 3c5f9e2af..f54e6e7be 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.aux @@ -1,6 +1,13 @@ \relax -\@writefile{toc}{\contentsline {section}{\numberline {1}Lecture 3 - 07-04-2020}{1}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Overfitting}{3}\protected@file@percent } -\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.1.1}Noise in the data}{3}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Underfitting}{5}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Nearest neighbour}{5}\protected@file@percent } +\@nameuse{bbl@beforestart} +\babel@aux{english}{} +\@writefile{toc}{\contentsline {chapter}{\numberline {1}Lecture 3 - 07-04-2020}{1}\protected@file@percent } +\@writefile{lof}{\addvspace {10\p@ }} +\@writefile{lot}{\addvspace {10\p@ }} +\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of domain of $K_{NN}$}}{1}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.1}Overfitting}{3}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.1}Noise in the data}{3}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}Underfitting}{5}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.3}Nearest neighbour}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.log index 9dfd39648..b62f25df1 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.log @@ -1,65 +1,66 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.12) 12 APR 2020 15:20 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 14:58 entering extended mode **./lecture3.tex (lecture3.tex -LaTeX2e <2020-02-02> patch level 2 -L3 programming layer <2020-02-14> -("E:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.cls" +LaTeX2e <2020-02-02> patch level 5 +L3 programming layer <2020-03-06> +("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.cls" Document Class: subfiles 2020/02/14 v1.6 Multi-file projects (class) Preamble taken from file `../main.tex' -("E:\Program Files\MiKTeX 2.9\tex/latex/tools\verbatim.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/tools\verbatim.sty" Package: verbatim 2019/11/10 v1.5r LaTeX2e package for verbatim enhancements -\every@verbatim=\toks14 -\verbatim@line=\toks15 +\every@verbatim=\toks15 +\verbatim@line=\toks16 \verbatim@in@stream=\read2 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" Package: import 2020/04/01 v 6.2 ) (../main.tex -("E:\Program Files\MiKTeX 2.9\tex/latex/base\article.cls" -Document Class: article 2019/12/20 v1.4l Standard LaTeX document class -("E:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" +("C:\Program Files\MiKTeX 2.9\tex/latex/base\report.cls" +Document Class: report 2019/12/20 v1.4l Standard LaTeX document class +("C:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" File: size12.clo 2019/12/20 v1.4l Standard LaTeX file (size option) ) \c@part=\count167 -\c@section=\count168 -\c@subsection=\count169 -\c@subsubsection=\count170 -\c@paragraph=\count171 -\c@subparagraph=\count172 -\c@figure=\count173 -\c@table=\count174 +\c@chapter=\count168 +\c@section=\count169 +\c@subsection=\count170 +\c@subsubsection=\count171 +\c@paragraph=\count172 +\c@subparagraph=\count173 +\c@figure=\count174 +\c@table=\count175 \abovecaptionskip=\skip47 \belowcaptionskip=\skip48 \bibindent=\dimen134 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" Package: amsmath 2020/01/20 v2.17e AMS math features \@mathmargin=\skip49 For additional information on amsmath, use the `?' option. -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" Package: amstext 2000/06/29 v2.01 AMS text -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" File: amsgen.sty 1999/11/30 v2.0 generic functions -\@emptytoks=\toks16 +\@emptytoks=\toks17 \ex@=\dimen135 )) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen136 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" Package: amsopn 2016/03/08 v2.02 operator names ) -\inf@bad=\count175 +\inf@bad=\count176 LaTeX Info: Redefining \frac on input line 227. -\uproot@=\count176 -\leftroot@=\count177 +\uproot@=\count177 +\leftroot@=\count178 LaTeX Info: Redefining \overline on input line 389. -\classnum@=\count178 -\DOTSCASE@=\count179 +\classnum@=\count179 +\DOTSCASE@=\count180 LaTeX Info: Redefining \ldots on input line 486. LaTeX Info: Redefining \dots on input line 489. LaTeX Info: Redefining \cdots on input line 610. @@ -68,48 +69,48 @@ LaTeX Info: Redefining \cdots on input line 610. \big@size=\dimen137 LaTeX Font Info: Redeclaring font encoding OML on input line 733. LaTeX Font Info: Redeclaring font encoding OMS on input line 734. -\macc@depth=\count180 -\c@MaxMatrixCols=\count181 +\macc@depth=\count181 +\c@MaxMatrixCols=\count182 \dotsspace@=\muskip16 -\c@parentequation=\count182 -\dspbrk@lvl=\count183 -\tag@help=\toks17 -\row@=\count184 -\column@=\count185 -\maxfields@=\count186 -\andhelp@=\toks18 +\c@parentequation=\count183 +\dspbrk@lvl=\count184 +\tag@help=\toks18 +\row@=\count185 +\column@=\count186 +\maxfields@=\count187 +\andhelp@=\toks19 \eqnshift@=\dimen138 \alignsep@=\dimen139 \tagshift@=\dimen140 \tagwidth@=\dimen141 \totwidth@=\dimen142 \lineht@=\dimen143 -\@envbody=\toks19 +\@envbody=\toks20 \multlinegap=\skip50 \multlinetaggap=\skip51 -\mathdisplay@stack=\toks20 +\mathdisplay@stack=\toks21 LaTeX Info: Redefining \[ on input line 2859. LaTeX Info: Redefining \] on input line 2860. ) -("E:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" -("E:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" -("E:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" -\integerpart=\count187 -\decimalpart=\count188 +("C:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" +("C:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" +\integerpart=\count188 +\decimalpart=\count189 ) Package: xstring 2019/02/06 v1.83 String manipulations (CT) ) -("E:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" -\SYS_systemecode=\toks21 -\SYS_systempreamble=\toks22 -\SYSeqnum=\count189 +("C:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" +\SYS_systemecode=\toks22 +\SYS_systempreamble=\toks23 +\SYSeqnum=\count190 ) Package: systeme 2019/01/13 v0.32 Mise en forme de systemes d'equations (CT) ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amssymb.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amssymb.sty" Package: amssymb 2013/01/14 v3.01 AMS font symbols -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 @@ -117,13 +118,125 @@ LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) -("E:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" Package: subfiles 2020/02/14 v1.6 Multi-file projects (package) +) +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.sty" +Package: babel 2020/02/28 3.41 The Babel package + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\switch.def" +File: switch.def 2020/02/28 3.41 Babel switching mechanism +) +************************************* +* Local config file bblopts.cfg used +* +("C:\Program Files\MiKTeX 2.9\tex/latex/arabi\bblopts.cfg" +File: bblopts.cfg 2005/09/08 v0.1 add Arabic and Farsi to "declared" options of + babel +) +("C:\Program Files\MiKTeX 2.9\tex/latex/babel-english\english.ldf" +Language: english 2017/06/06 v3.3r English support from the babel system + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.def" +File: babel.def 2020/02/28 3.41 Babel common definitions +\babel@savecnt=\count191 +\U@D=\dimen144 + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\txtbabel.def") +\bbl@readstream=\read3 +\bbl@dirlevel=\count192 +) +Package babel Info: \l@canadian = using hyphenrules for english +(babel) (\language0) on input line 102. +Package babel Info: \l@australian = using hyphenrules for ukenglish +(babel) (\language72) on input line 105. +Package babel Info: \l@newzealand = using hyphenrules for ukenglish +(babel) (\language72) on input line 108. +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/xcolor\xcolor.sty" +Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\color.cfg" +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: pdftex.def on input line 225. + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-def\pdftex.def" +File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex +) +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. +Package xcolor Info: Model `RGB' extended on input line 1364. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\dvipsnam.def" +File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphicx.sty" +Package: graphicx 2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\keyval.sty" +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks24 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphics.sty" +Package: graphics 2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\trig.sty" +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\graphics.cfg" +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: pdftex.def on input line 105. +) +\Gin@req@height=\dimen145 +\Gin@req@width=\dimen146 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/sectsty\sectsty.sty" +Package: sectsty 2002/02/25 v2.0.2 Commands to change all sectional heading sty +les + + +LaTeX Warning: Command \underbar has changed. + Check if current package is valid. + + +LaTeX Warning: Command \underline has changed. + Check if current package is valid. + +) ("C:\Program Files\MiKTeX 2.9\tex/latex/framed\framed.sty" +Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks +\OuterFrameSep=\skip52 +\fb@frw=\dimen147 +\fb@frh=\dimen148 +\FrameRule=\dimen149 +\FrameSep=\dimen150 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/titlesec\titlesec.sty" +Package: titlesec 2019/10/16 v2.13 Sectioning titles +\ttl@box=\box47 +\beforetitleunit=\skip53 +\aftertitleunit=\skip54 +\ttl@plus=\dimen151 +\ttl@minus=\dimen152 +\ttl@toksa=\toks25 +\titlewidth=\dimen153 +\titlewidthlast=\dimen154 +\titlewidthfirst=\dimen155 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" +Package: fontenc 2020/02/11 v2.0o Standard LaTeX package ))) -("E:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" -File: l3backend-pdfmode.def 2020-02-03 L3 backend support: PDF mode -\l__kernel_color_stack_int=\count190 -\l__pdf_internal_box=\box47 +("C:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" +File: l3backend-pdfmode.def 2020-03-12 L3 backend support: PDF mode +\l__kernel_color_stack_int=\count193 +\l__pdf_internal_box=\box48 ) (lecture3.aux) \openout1 = `lecture3.aux'. @@ -142,21 +255,74 @@ LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. + ("C:\Program Files\MiKTeX 2.9\tex/context/base/mkii\supp-pdf.mkii" +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count194 +\scratchdimen=\dimen156 +\scratchbox=\box49 +\nofMPsegments=\count195 +\nofMParguments=\count196 +\everyMPshowfont=\toks26 +\MPscratchCnt=\count197 +\MPscratchDim=\dimen157 +\MPnumerator=\count198 +\makeMPintoPDFobject=\count199 +\everyMPtoPDFconversion=\toks27 +) ("C:\Program Files\MiKTeX 2.9\tex/latex/epstopdf-pkg\epstopdf-base.sty" +Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf + +("C:\Program Files\MiKTeX 2.9\tex/generic/infwarerr\infwarerr.sty" +Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) +) +("C:\Program Files\MiKTeX 2.9\tex/latex/grfext\grfext.sty" +Package: grfext 2019/12/03 v1.3 Manage graphics extensions (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/kvdefinekeys\kvdefinekeys.sty" +Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/kvoptions\kvoptions.sty" +Package: kvoptions 2019/11/29 v3.13 Key value format for package options (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/ltxcmds\ltxcmds.sty" +Package: ltxcmds 2019/12/15 v1.24 LaTeX kernel commands for general use (HO) +) +("C:\Program Files\MiKTeX 2.9\tex/generic/kvsetkeys\kvsetkeys.sty" +Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/pdftexcmds\pdftexcmds.sty" +Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO +) + +("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\iftex.sty" +Package: iftex 2020/03/06 v1.0d TeX engine tests +) +Package pdftexcmds Info: \pdf@primitive is available. +Package pdftexcmds Info: \pdf@ifprimitive is available. +Package pdftexcmds Info: \pdfdraftmode found. +) +Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 +85. +Package grfext Info: Graphics extension search list: +(grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE +G,.JBIG2,.JB2,.eps] +(grfext) \AppendGraphicsExtensions on input line 504. +) +Chapter 1. Underfull \hbox (badness 10000) in paragraph at lines 5--7 [] LaTeX Font Info: Trying to load font information for U+msa on input line 7. -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Trying to load font information for U+msb on input line 7. -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) -Overfull \hbox (12.30455pt too wide) detected at line 9 +Overfull \hbox (12.26892pt too wide) detected at line 9 \OML/cmm/m/it/12 x \OT1/cmr/m/n/12 = (\OML/cmm/m/it/12 x[]; :::; x[]\OT1/cmr/m/ n/12 ) \OML/cmm/m/it/12 x[] []x \OMS/cmsy/m/n/12 2 \OML/cmm/m/it/12 X[] X \OT1/ cmr/m/n/12 = \U/msb/m/n/12 R[] \OML/cmm/m/it/12 X \OT1/cmr/m/n/12 = \OML/cmm/m/ @@ -165,198 +331,226 @@ t/12 ::: \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 X[] \OMS/cmsy/m/n/12  \OML/cmm/m/ it/12 x [] +<../img/lez3-img1.JPG, id=1, 445.665pt x 107.65219pt> +File: ../img/lez3-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez3-img1.JPG used on input line 25. +(pdftex.def) Requested size: 312.00119pt x 75.36586pt. -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 28--35 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 34--41 [] [1 -{C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] -Underfull \hbox (badness 10000) in paragraph at lines 48--54 + +{C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map} <../img/ +lez3-img1.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 54--60 [] -Underfull \hbox (badness 10000) in paragraph at lines 54--65 +Underfull \hbox (badness 10000) in paragraph at lines 60--71 [] -Underfull \hbox (badness 10000) in paragraph at lines 65--75 +Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] -Underfull \hbox (badness 10000) in paragraph at lines 65--75 +Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] [2] -Underfull \hbox (badness 10000) in paragraph at lines 78--86 +Underfull \hbox (badness 10000) in paragraph at lines 84--92 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--96 +Underfull \hbox (badness 10000) in paragraph at lines 95--102 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--108 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--108 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--108 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] [3] -Underfull \hbox (badness 10000) in paragraph at lines 110--138 +Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] -Underfull \hbox (badness 10000) in paragraph at lines 110--138 +Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] -Overfull \hbox (25.43301pt too wide) in paragraph at lines 110--138 +Overfull \hbox (25.43301pt too wide) in paragraph at lines 116--144 [] [] -Underfull \hbox (badness 10000) in paragraph at lines 110--138 +Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] -Underfull \hbox (badness 10000) in paragraph at lines 110--138 +Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] -Underfull \hbox (badness 10000) in paragraph at lines 144--160 +Underfull \hbox (badness 10000) in paragraph at lines 150--166 [] -Underfull \hbox (badness 10000) in paragraph at lines 164--168 +Underfull \hbox (badness 10000) in paragraph at lines 170--174 [] [4] -Overfull \hbox (36.32568pt too wide) detected at line 170 +Overfull \hbox (36.23656pt too wide) detected at line 176 \OML/cmm/m/it/12 A \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 ERM[] \OMS/cmsy/m/n/12 ! [] [] -Underfull \hbox (badness 10000) in paragraph at lines 177--179 +Underfull \hbox (badness 10000) in paragraph at lines 183--185 [] -Underfull \hbox (badness 10000) in paragraph at lines 184--186 +Underfull \hbox (badness 10000) in paragraph at lines 190--192 [] -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 +Underfull \hbox (badness 10000) in paragraph at lines 193--204 [] [5] -Underfull \hbox (badness 10000) in paragraph at lines 225--226 +<../img/lez3-img2.JPG, id=34, 135.50626pt x 131.74219pt> +File: ../img/lez3-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez3-img2.JPG used on input line 210. +(pdftex.def) Requested size: 155.99762pt x 151.66916pt. +<../img/lez3-img3.JPG, id=35, 142.28156pt x 121.20282pt> +File: ../img/lez3-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez3-img3.JPG used on input line 221. +(pdftex.def) Requested size: 155.99762pt x 132.89998pt. + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 [] -[6] (lecture3.aux) ) -Here is how much of TeX's memory you used: - 2035 strings out of 481556 - 27886 string characters out of 2923622 - 264292 words of memory out of 3000000 - 17282 multiletter control sequences out of 15000+200000 - 539886 words of font info for 51 fonts, out of 3000000 for 9000 - 1141 hyphenation exceptions out of 8191 - 42i,11n,44p,316b,125s stack positions out of 5000i,500n,10000p,200000b,50000s - -Output written on lecture3.pdf (6 pages, 135258 bytes). -PDF statistics: - 70 PDF objects out of 1000 (max. 8388607) - 0 named destinations out of 1000 (max. 500000) - 1 words of extra memory for PDF output out of 10000 (max. 10000000) + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + +[6 <../img/lez3-img2.JPG> <../img/lez3-img3.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 240--241 + + [] + +[7] (lecture3.aux) ) +Here is how much of TeX's memory you used: + 5120 strings out of 480934 + 69187 string characters out of 2909670 + 335089 words of memory out of 3000000 + 20869 multiletter control sequences out of 15000+200000 + 546309 words of font info for 55 fonts, out of 3000000 for 9000 + 1141 hyphenation exceptions out of 8191 + 42i,11n,50p,316b,236s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on lecture3.pdf (7 pages, 198422 bytes). +PDF statistics: + 275 PDF objects out of 1000 (max. 8388607) + 0 named destinations out of 1000 (max. 500000) + 16 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.pdf index 3b80fc338..d057eb7d9 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.synctex.gz index 4a3e67dc8..363ea5e44 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.tex b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.tex index 95dc5bb4b..f550447f2 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.tex +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture3.tex @@ -19,8 +19,14 @@ Example $(x,y)$ \qquad y is the label associated with x\\ Learning with example $(x_1,y_1)...(x_m,y_m) \quad \textit{training set} $\\\\ Training set is a set of examples with every algorithm can learn.......\\\\ Learning algorithm take training set as input and produces a predictor as output.\\\\ - ......DISEGNO \\\\ -With image recognition we use as measurement pixels.\\ +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.8\linewidth]{../img/lez3-img1.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ +\\With image recognition we use as measurement pixels.\\ How do we measure the power of a predictor?\\ A learning algorithm will look at training set, algorithm and generate the predictor. Now the problem is verify the score. \\ Now we can consider a test set collection of example @@ -194,20 +200,29 @@ $ S is the traning set $(x_1,y_1)...(x_m,y_m) \\ x_t \in \barra{R}^d \qquad y_t \in \{-1,1\} \\\\ d = 2 \rightarrow \textit{2-dimensional vector}\\ $\\ -....-- DISEGNO --... -\\ where + and - are labels -\\\\ +\newpage \textbf{Point of test set} \\ If i want to predict this point? +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez3-img2.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ Maybe if point is close to point with label i know then. Maybe they have the same label. \\ $\hat{y} = + \quad or \quad \hat{y} = - $ \\\\ -.....-- DISEGNO -- ... -\\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez3-img3.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ +\\ I can came up with some sort of classifier. \\\\ Given $S$ training set, i can define $\hnn$ $X \rightarrow \{-1,1\}\\ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.aux index ccee5d354..16779b5c9 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.aux @@ -1,4 +1,15 @@ \relax -\@writefile{toc}{\contentsline {section}{\numberline {1}Lecture 4 - 07-04-2020}{1}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Computing $h_{NN}$}{1}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Tree Predictor}{2}\protected@file@percent } +\@nameuse{bbl@beforestart} +\babel@aux{english}{} +\@writefile{toc}{\contentsline {chapter}{\numberline {1}Lecture 4 - 07-04-2020}{1}\protected@file@percent } +\@writefile{lof}{\addvspace {10\p@ }} +\@writefile{lot}{\addvspace {10\p@ }} +\@writefile{toc}{\contentsline {section}{\numberline {1.1}Computing $h_{NN}$}{1}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of domain of $K_{NN}$}}{2}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}Tree Predictor}{3}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Example of domain of $K_{NN}$}}{3}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces Example of domain of $K_{NN}$}}{4}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces Example of domain of $K_{NN}$}}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces Example of domain of $K_{NN}$}}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.6}{\ignorespaces Example of domain of $K_{NN}$}}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.7}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.log index 54e2c51ff..adda73e40 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.log @@ -1,65 +1,66 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.12) 12 APR 2020 16:33 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:07 entering extended mode **./lecture4.tex (lecture4.tex -LaTeX2e <2020-02-02> patch level 2 -L3 programming layer <2020-02-14> -("E:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.cls" +LaTeX2e <2020-02-02> patch level 5 +L3 programming layer <2020-03-06> +("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.cls" Document Class: subfiles 2020/02/14 v1.6 Multi-file projects (class) Preamble taken from file `../main.tex' -("E:\Program Files\MiKTeX 2.9\tex/latex/tools\verbatim.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/tools\verbatim.sty" Package: verbatim 2019/11/10 v1.5r LaTeX2e package for verbatim enhancements -\every@verbatim=\toks14 -\verbatim@line=\toks15 +\every@verbatim=\toks15 +\verbatim@line=\toks16 \verbatim@in@stream=\read2 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" Package: import 2020/04/01 v 6.2 ) (../main.tex -("E:\Program Files\MiKTeX 2.9\tex/latex/base\article.cls" -Document Class: article 2019/12/20 v1.4l Standard LaTeX document class -("E:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" +("C:\Program Files\MiKTeX 2.9\tex/latex/base\report.cls" +Document Class: report 2019/12/20 v1.4l Standard LaTeX document class +("C:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" File: size12.clo 2019/12/20 v1.4l Standard LaTeX file (size option) ) \c@part=\count167 -\c@section=\count168 -\c@subsection=\count169 -\c@subsubsection=\count170 -\c@paragraph=\count171 -\c@subparagraph=\count172 -\c@figure=\count173 -\c@table=\count174 +\c@chapter=\count168 +\c@section=\count169 +\c@subsection=\count170 +\c@subsubsection=\count171 +\c@paragraph=\count172 +\c@subparagraph=\count173 +\c@figure=\count174 +\c@table=\count175 \abovecaptionskip=\skip47 \belowcaptionskip=\skip48 \bibindent=\dimen134 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" Package: amsmath 2020/01/20 v2.17e AMS math features \@mathmargin=\skip49 For additional information on amsmath, use the `?' option. -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" Package: amstext 2000/06/29 v2.01 AMS text -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" File: amsgen.sty 1999/11/30 v2.0 generic functions -\@emptytoks=\toks16 +\@emptytoks=\toks17 \ex@=\dimen135 )) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen136 ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" Package: amsopn 2016/03/08 v2.02 operator names ) -\inf@bad=\count175 +\inf@bad=\count176 LaTeX Info: Redefining \frac on input line 227. -\uproot@=\count176 -\leftroot@=\count177 +\uproot@=\count177 +\leftroot@=\count178 LaTeX Info: Redefining \overline on input line 389. -\classnum@=\count178 -\DOTSCASE@=\count179 +\classnum@=\count179 +\DOTSCASE@=\count180 LaTeX Info: Redefining \ldots on input line 486. LaTeX Info: Redefining \dots on input line 489. LaTeX Info: Redefining \cdots on input line 610. @@ -68,48 +69,48 @@ LaTeX Info: Redefining \cdots on input line 610. \big@size=\dimen137 LaTeX Font Info: Redeclaring font encoding OML on input line 733. LaTeX Font Info: Redeclaring font encoding OMS on input line 734. -\macc@depth=\count180 -\c@MaxMatrixCols=\count181 +\macc@depth=\count181 +\c@MaxMatrixCols=\count182 \dotsspace@=\muskip16 -\c@parentequation=\count182 -\dspbrk@lvl=\count183 -\tag@help=\toks17 -\row@=\count184 -\column@=\count185 -\maxfields@=\count186 -\andhelp@=\toks18 +\c@parentequation=\count183 +\dspbrk@lvl=\count184 +\tag@help=\toks18 +\row@=\count185 +\column@=\count186 +\maxfields@=\count187 +\andhelp@=\toks19 \eqnshift@=\dimen138 \alignsep@=\dimen139 \tagshift@=\dimen140 \tagwidth@=\dimen141 \totwidth@=\dimen142 \lineht@=\dimen143 -\@envbody=\toks19 +\@envbody=\toks20 \multlinegap=\skip50 \multlinetaggap=\skip51 -\mathdisplay@stack=\toks20 +\mathdisplay@stack=\toks21 LaTeX Info: Redefining \[ on input line 2859. LaTeX Info: Redefining \] on input line 2860. ) -("E:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" -("E:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" -("E:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" -\integerpart=\count187 -\decimalpart=\count188 +("C:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" +("C:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" +\integerpart=\count188 +\decimalpart=\count189 ) Package: xstring 2019/02/06 v1.83 String manipulations (CT) ) -("E:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" -\SYS_systemecode=\toks21 -\SYS_systempreamble=\toks22 -\SYSeqnum=\count189 +("C:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" +\SYS_systemecode=\toks22 +\SYS_systempreamble=\toks23 +\SYSeqnum=\count190 ) Package: systeme 2019/01/13 v0.32 Mise en forme de systemes d'equations (CT) ) -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amssymb.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amssymb.sty" Package: amssymb 2013/01/14 v3.01 AMS font symbols -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 @@ -117,13 +118,125 @@ LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) -("E:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" +("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" Package: subfiles 2020/02/14 v1.6 Multi-file projects (package) +) +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.sty" +Package: babel 2020/02/28 3.41 The Babel package + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\switch.def" +File: switch.def 2020/02/28 3.41 Babel switching mechanism +) +************************************* +* Local config file bblopts.cfg used +* +("C:\Program Files\MiKTeX 2.9\tex/latex/arabi\bblopts.cfg" +File: bblopts.cfg 2005/09/08 v0.1 add Arabic and Farsi to "declared" options of + babel +) +("C:\Program Files\MiKTeX 2.9\tex/latex/babel-english\english.ldf" +Language: english 2017/06/06 v3.3r English support from the babel system + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.def" +File: babel.def 2020/02/28 3.41 Babel common definitions +\babel@savecnt=\count191 +\U@D=\dimen144 + +("C:\Program Files\MiKTeX 2.9\tex/generic/babel\txtbabel.def") +\bbl@readstream=\read3 +\bbl@dirlevel=\count192 +) +Package babel Info: \l@canadian = using hyphenrules for english +(babel) (\language0) on input line 102. +Package babel Info: \l@australian = using hyphenrules for ukenglish +(babel) (\language72) on input line 105. +Package babel Info: \l@newzealand = using hyphenrules for ukenglish +(babel) (\language72) on input line 108. +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/xcolor\xcolor.sty" +Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\color.cfg" +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: pdftex.def on input line 225. + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-def\pdftex.def" +File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex +) +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. +Package xcolor Info: Model `RGB' extended on input line 1364. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\dvipsnam.def" +File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphicx.sty" +Package: graphicx 2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\keyval.sty" +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks24 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphics.sty" +Package: graphics 2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\trig.sty" +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\graphics.cfg" +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: pdftex.def on input line 105. +) +\Gin@req@height=\dimen145 +\Gin@req@width=\dimen146 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/sectsty\sectsty.sty" +Package: sectsty 2002/02/25 v2.0.2 Commands to change all sectional heading sty +les + + +LaTeX Warning: Command \underbar has changed. + Check if current package is valid. + + +LaTeX Warning: Command \underline has changed. + Check if current package is valid. + +) ("C:\Program Files\MiKTeX 2.9\tex/latex/framed\framed.sty" +Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks +\OuterFrameSep=\skip52 +\fb@frw=\dimen147 +\fb@frh=\dimen148 +\FrameRule=\dimen149 +\FrameSep=\dimen150 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/titlesec\titlesec.sty" +Package: titlesec 2019/10/16 v2.13 Sectioning titles +\ttl@box=\box47 +\beforetitleunit=\skip53 +\aftertitleunit=\skip54 +\ttl@plus=\dimen151 +\ttl@minus=\dimen152 +\ttl@toksa=\toks25 +\titlewidth=\dimen153 +\titlewidthlast=\dimen154 +\titlewidthfirst=\dimen155 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" +Package: fontenc 2020/02/11 v2.0o Standard LaTeX package ))) -("E:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" -File: l3backend-pdfmode.def 2020-02-03 L3 backend support: PDF mode -\l__kernel_color_stack_int=\count190 -\l__pdf_internal_box=\box47 +("C:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" +File: l3backend-pdfmode.def 2020-03-12 L3 backend support: PDF mode +\l__kernel_color_stack_int=\count193 +\l__pdf_internal_box=\box48 ) (lecture4.aux) \openout1 = `lecture4.aux'. @@ -142,13 +255,66 @@ LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. + ("C:\Program Files\MiKTeX 2.9\tex/context/base/mkii\supp-pdf.mkii" +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count194 +\scratchdimen=\dimen156 +\scratchbox=\box49 +\nofMPsegments=\count195 +\nofMParguments=\count196 +\everyMPshowfont=\toks26 +\MPscratchCnt=\count197 +\MPscratchDim=\dimen157 +\MPnumerator=\count198 +\makeMPintoPDFobject=\count199 +\everyMPtoPDFconversion=\toks27 +) ("C:\Program Files\MiKTeX 2.9\tex/latex/epstopdf-pkg\epstopdf-base.sty" +Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf + +("C:\Program Files\MiKTeX 2.9\tex/generic/infwarerr\infwarerr.sty" +Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) +) +("C:\Program Files\MiKTeX 2.9\tex/latex/grfext\grfext.sty" +Package: grfext 2019/12/03 v1.3 Manage graphics extensions (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/kvdefinekeys\kvdefinekeys.sty" +Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/kvoptions\kvoptions.sty" +Package: kvoptions 2019/11/29 v3.13 Key value format for package options (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/ltxcmds\ltxcmds.sty" +Package: ltxcmds 2019/12/15 v1.24 LaTeX kernel commands for general use (HO) +) +("C:\Program Files\MiKTeX 2.9\tex/generic/kvsetkeys\kvsetkeys.sty" +Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/pdftexcmds\pdftexcmds.sty" +Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO +) + +("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\iftex.sty" +Package: iftex 2020/03/06 v1.0d TeX engine tests +) +Package pdftexcmds Info: \pdf@primitive is available. +Package pdftexcmds Info: \pdf@ifprimitive is available. +Package pdftexcmds Info: \pdfdraftmode found. +) +Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 +85. +Package grfext Info: Graphics extension search list: +(grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE +G,.JBIG2,.JB2,.eps] +(grfext) \AppendGraphicsExtensions on input line 504. +) +Chapter 1. LaTeX Font Info: Trying to load font information for U+msa on input line 8. - ("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Trying to load font information for U+msb on input line 8. -("E:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" +("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) Underfull \hbox (badness 10000) in paragraph at lines 10--14 @@ -165,118 +331,140 @@ Underfull \hbox (badness 10000) in paragraph at lines 21--39 [] +<../img/lez4-img1.JPG, id=1, 222.8325pt x 179.92218pt> +File: ../img/lez4-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img1.JPG used on input line 54. +(pdftex.def) Requested size: 155.99762pt x 125.95839pt. -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] [1 + {C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] -Underfull \hbox (badness 10000) in paragraph at lines 68--70 +Underfull \hbox (badness 10000) in paragraph at lines 72--74 + + [] + +<../img/lez4-img2.JPG, id=16, 310.15875pt x 176.91093pt> +File: ../img/lez4-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img2.JPG used on input line 92. +(pdftex.def) Requested size: 195.0pt x 111.225pt. + +Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] -Underfull \hbox (badness 10000) in paragraph at lines 73--88 +Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] -[2] -Underfull \hbox (badness 10000) in paragraph at lines 93--99 +[2 <../img/lez4-img1.JPG>] +<../img/lez4-img3.JPG, id=22, 122.70844pt x 57.21375pt> +File: ../img/lez4-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img3.JPG used on input line 110. +(pdftex.def) Requested size: 117.00119pt x 54.5544pt. + +Underfull \hbox (badness 10000) in paragraph at lines 103--114 [] -Overfull \hbox (30.99239pt too wide) detected at line 115 +LaTeX Warning: `h' float specifier changed to `ht'. + +[3 <../img/lez4-img2.JPG>] +Overfull \hbox (30.95695pt too wide) detected at line 129 \OML/cmm/m/it/12 X \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 Sunny; \OT1/cmr/m/n/12 50%\OML/cmm/m/it/12 ; No\OMS/cmsy/m/n/12 g ! []f\OML/cmm/m/it /12 outlook:humidity; windy\OMS/cmsy/m/n/12 g [] -[3] +<../img/lez4-img4.JPG, id=27, 76.78688pt x 45.92157pt> +File: ../img/lez4-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img4.JPG used on input line 166. +(pdftex.def) Requested size: 77.99881pt x 46.64948pt. +<../img/lez4-img5.JPG, id=28, 76.78688pt x 55.70813pt> +File: ../img/lez4-img5.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img5.JPG used on input line 174. +(pdftex.def) Requested size: 77.99881pt x 56.59116pt. +<../img/lez4-img6.JPG, id=29, 461.47406pt x 211.54031pt> +File: ../img/lez4-img6.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img6.JPG used on input line 185. +(pdftex.def) Requested size: 312.00119pt x 143.0224pt. -LaTeX Warning: Command \textquoteright invalid in math mode on input line 163. +LaTeX Warning: Command \textquoteright invalid in math mode on input line 189. +<../img/lez4-img7.JPG, id=30, 278.54062pt x 389.95688pt> +File: ../img/lez4-img7.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez4-img7.JPG used on input line 192. +(pdftex.def) Requested size: 272.99881pt x 382.20868pt. -Underfull \hbox (badness 10000) in paragraph at lines 142--164 +Underfull \hbox (badness 10000) in paragraph at lines 156--196 [] -Underfull \hbox (badness 10000) in paragraph at lines 142--164 +Underfull \hbox (badness 10000) in paragraph at lines 156--196 [] +[4 <../img/lez4-img3.JPG>] -Underfull \hbox (badness 10000) in paragraph at lines 142--164 +LaTeX Warning: `h' float specifier changed to `ht'. - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--164 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--164 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--164 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--164 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--164 - - [] - -[4] (lecture4.aux) ) +[5 <../img/lez4-img4.JPG> <../img/lez4-img5.JPG> <../img/lez4-img6.JPG>] +[6 <../img/lez4-img7.JPG>] (lecture4.aux) ) Here is how much of TeX's memory you used: - 2047 strings out of 481556 - 28032 string characters out of 2923622 - 262310 words of memory out of 3000000 - 17294 multiletter control sequences out of 15000+200000 - 542187 words of font info for 61 fonts, out of 3000000 for 9000 + 5146 strings out of 480934 + 69745 string characters out of 2909670 + 334089 words of memory out of 3000000 + 20892 multiletter control sequences out of 15000+200000 + 546720 words of font info for 61 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 - 42i,8n,44p,316b,125s stack positions out of 5000i,500n,10000p,200000b,50000s - -Output written on lecture4.pdf (4 pages, 125307 bytes). + 42i,8n,50p,316b,238s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on lecture4.pdf (6 pages, 241317 bytes). PDF statistics: - 64 PDF objects out of 1000 (max. 8388607) + 218 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) - 1 words of extra memory for PDF output out of 10000 (max. 10000000) + 36 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.pdf index 8c177ac0c..0ab12271f 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.synctex.gz index 32a971cfc..cf24d2397 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.tex b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.tex index b63240f8c..7839b8295 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.tex +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture4.tex @@ -49,8 +49,12 @@ You can vary this algorithm as you want.\\\\ Let’s go back to Binary classification.\\ The $k$ parameter is the effect of making the structure of classifier more complex and less complex for small value of $k$.\\\\ ---.. DISEGNO ..-- -\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez4-img1.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ Fix training set and test set\\ Accury as oppose to the error \\\\ @@ -83,6 +87,12 @@ I want to avoid comparing $x_i$ with $x_j$, $i\neq j $\\ so comparing different feature and we want to compare each feature with each self. I don’t want to mix them up.\\ We can use a tree! +\begin{figure}[h] + \centering + \includegraphics[width=0.5\linewidth]{../img/lez4-img2.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ \\ I have 3 features: \begin{itemize} @@ -90,17 +100,21 @@ I have 3 features: \item humidity $= \{[0,100]\}$ \item windy $ = \{yes,no\}$ \end{itemize} -... -- DISEGNO -- ...\\\\ Tree is a natural way of doing decision and abstraction of decision process of one person. It is a good way to deal with categorical variables.\\ What kind of tree we are talking about?\\ Tree has inner node and leaves. Leaves are associated with labels $(Y)$ and inner nodes are associated with test. +\begin{figure}[h] + \centering + \includegraphics[width=0.3\linewidth]{../img/lez4-img3.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ \begin{itemize} \item Inner node $\rightarrow$ test \item Leaves $\rightarrow$ label in Y \end{itemize} -%... -- DISEGNO -- ... Test if a function $f$ (NOT A PREDICTOR!) \\ Test $ \qquad f_i \, X_i \rightarrow \{1,...,k\}$ \\ where $k$ is the number of children (inner node) to which test is assigned @@ -146,19 +160,37 @@ $ Y = \{-1, +1 \}$ \\\\ What's the simplest way?\\ Initial tree and correspond to a costant classifier -\\\\ --- DISEGNO -- -\\\\ +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.2\linewidth]{../img/lez4-img4.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ \textbf{Majority of all example} -\\\\ --- DISEGNO -- -\\\\ +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.2\linewidth]{../img/lez4-img5.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ $(x_1, y_1) ... (x_m, y_m)$ \\ $ x_t \in X$ \qquad $ y_t \in \{-1,+1\}$\\ Training set $S = \{ (x,y) \in S$, x is routed to $\ell\}$\\ $S_{\ell}^+$ -\\\\ --- DISEGNO -- -\\\\ -$ S_{\ell}$ and $ S’_{\ell}$ are given by the result of the test, not the labels and $\ell$ and $\ell'$. +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.8\linewidth]{../img/lez4-img6.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure}\\ +$ S_{\ell}$ and $ S’_{\ell}$ are given by the result of the test, not the labels and $\ell$ and $\ell'$.\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.7\linewidth]{../img/lez4-img7.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \end{document} \ No newline at end of file diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.aux index 03bea612e..c97d68190 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.aux @@ -1,25 +1,20 @@ \relax -\providecommand\hyper@newdestlabel[2]{} -\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} -\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined -\global\let\oldcontentsline\contentsline -\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} -\global\let\oldnewlabel\newlabel -\gdef\newlabel#1#2{\newlabelxx{#1}#2} -\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} -\AtEndDocument{\ifx\hyper@anchor\@undefined -\let\contentsline\oldcontentsline -\let\newlabel\oldnewlabel -\fi} -\fi} -\global\let\hyper@last\relax -\gdef\HyperFirstAtBeginDocument#1{#1} -\providecommand\HyField@AuxAddToFields[1]{} -\providecommand\HyField@AuxAddToCoFields[2]{} -\bibstyle{gbt7714-numerical} \@nameuse{bbl@beforestart} \babel@aux{english}{} -\@writefile{toc}{\contentsline {section}{\numberline {1}Tree Classifier}{1}{section.1}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2}Jensen’s inequality}{2}{section.2}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3}Tree Predictor}{6}{section.3}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {4}Statistical model for Machine Learning}{7}{section.4}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {1}Lecture 5 - 07-04-2020}{1}\protected@file@percent } +\@writefile{lof}{\addvspace {10\p@ }} +\@writefile{lot}{\addvspace {10\p@ }} +\@writefile{toc}{\contentsline {section}{\numberline {1.1}Tree Classifier}{1}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of domain of $K_{NN}$}}{1}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Example of domain of $K_{NN}$}}{2}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}Jensen’s inequality}{3}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces Example of domain of $K_{NN}$}}{3}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces Example of domain of $K_{NN}$}}{3}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces Example of domain of $K_{NN}$}}{4}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.6}{\ignorespaces Example of domain of $K_{NN}$}}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.7}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.8}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.9}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.3}Tree Predictor}{7}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.10}{\ignorespaces Example of domain of $K_{NN}$}}{7}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.4}Statistical model for Machine Learning}{8}\protected@file@percent } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.dvi b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.dvi index 9f9de89bf..1e286769d 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.dvi and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.dvi differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.log index 10887726e..ebf580f7a 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 13 APR 2020 11:51 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:14 entering extended mode **./lecture5.tex (lecture5.tex @@ -16,71 +16,27 @@ Package: verbatim 2019/11/10 v1.5r LaTeX2e package for verbatim enhancements ("C:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" Package: import 2020/04/01 v 6.2 ) (../main.tex -("C:\Program Files\MiKTeX 2.9\tex/latex/elegantnote\ElegantNote.cls" - -LaTeX Warning: You have requested document class `ElegantNote', - but the document class provides `elegantnote'. - -Document Class: elegantnote 2018/12/09 ElegantNote v2.20 class -("C:\Program Files\MiKTeX 2.9\tex/latex/kvoptions\kvoptions.sty" -Package: kvoptions 2019/11/29 v3.13 Key value format for package options (HO) - -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\keyval.sty" -Package: keyval 2014/10/28 v1.15 key=value parser (DPC) -\KV@toks@=\toks17 +("C:\Program Files\MiKTeX 2.9\tex/latex/base\report.cls" +Document Class: report 2019/12/20 v1.4l Standard LaTeX document class +("C:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" +File: size12.clo 2019/12/20 v1.4l Standard LaTeX file (size option) ) -("C:\Program Files\MiKTeX 2.9\tex/generic/ltxcmds\ltxcmds.sty" -Package: ltxcmds 2019/12/15 v1.24 LaTeX kernel commands for general use (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/kvsetkeys\kvsetkeys.sty" -Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO) -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\ifthen.sty" -Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\ifxetex.sty" -Package: ifxetex 2019/10/25 v0.7 ifxetex legacy package. Use iftex instead. - -("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\iftex.sty" -Package: iftex 2020/03/06 v1.0d TeX engine tests -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/etoolbox\etoolbox.sty" -Package: etoolbox 2019/09/21 v2.5h e-TeX tools for LaTeX (JAW) -\etb@tempcnta=\count167 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/tools\calc.sty" -Package: calc 2017/05/25 v4.3 Infix arithmetic (KKT,FJ) -\calc@Acount=\count168 -\calc@Bcount=\count169 -\calc@Adimen=\dimen134 -\calc@Bdimen=\dimen135 -\calc@Askip=\skip47 -\calc@Bskip=\skip48 -LaTeX Info: Redefining \setlength on input line 80. -LaTeX Info: Redefining \addtolength on input line 81. -\calc@Ccount=\count170 -\calc@Cskip=\skip49 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\article.cls" -Document Class: article 2019/12/20 v1.4l Standard LaTeX document class -("C:\Program Files\MiKTeX 2.9\tex/latex/base\size10.clo" -File: size10.clo 2019/12/20 v1.4l Standard LaTeX file (size option) -) -\c@part=\count171 -\c@section=\count172 -\c@subsection=\count173 -\c@subsubsection=\count174 -\c@paragraph=\count175 -\c@subparagraph=\count176 -\c@figure=\count177 -\c@table=\count178 -\abovecaptionskip=\skip50 -\belowcaptionskip=\skip51 -\bibindent=\dimen136 +\c@part=\count167 +\c@chapter=\count168 +\c@section=\count169 +\c@subsection=\count170 +\c@subsubsection=\count171 +\c@paragraph=\count172 +\c@subparagraph=\count173 +\c@figure=\count174 +\c@table=\count175 +\abovecaptionskip=\skip47 +\belowcaptionskip=\skip48 +\bibindent=\dimen134 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" Package: amsmath 2020/01/20 v2.17e AMS math features -\@mathmargin=\skip52 +\@mathmargin=\skip49 For additional information on amsmath, use the `?' option. ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" @@ -88,1175 +44,66 @@ Package: amstext 2000/06/29 v2.01 AMS text ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" File: amsgen.sty 1999/11/30 v2.0 generic functions -\@emptytoks=\toks18 -\ex@=\dimen137 +\@emptytoks=\toks17 +\ex@=\dimen135 )) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols -\pmbraise@=\dimen138 +\pmbraise@=\dimen136 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" Package: amsopn 2016/03/08 v2.02 operator names ) -\inf@bad=\count179 +\inf@bad=\count176 LaTeX Info: Redefining \frac on input line 227. -\uproot@=\count180 -\leftroot@=\count181 +\uproot@=\count177 +\leftroot@=\count178 LaTeX Info: Redefining \overline on input line 389. -\classnum@=\count182 -\DOTSCASE@=\count183 +\classnum@=\count179 +\DOTSCASE@=\count180 LaTeX Info: Redefining \ldots on input line 486. LaTeX Info: Redefining \dots on input line 489. LaTeX Info: Redefining \cdots on input line 610. \Mathstrutbox@=\box45 \strutbox@=\box46 -\big@size=\dimen139 +\big@size=\dimen137 LaTeX Font Info: Redeclaring font encoding OML on input line 733. LaTeX Font Info: Redeclaring font encoding OMS on input line 734. -\macc@depth=\count184 -\c@MaxMatrixCols=\count185 +\macc@depth=\count181 +\c@MaxMatrixCols=\count182 \dotsspace@=\muskip16 -\c@parentequation=\count186 -\dspbrk@lvl=\count187 -\tag@help=\toks19 -\row@=\count188 -\column@=\count189 -\maxfields@=\count190 -\andhelp@=\toks20 -\eqnshift@=\dimen140 -\alignsep@=\dimen141 -\tagshift@=\dimen142 -\tagwidth@=\dimen143 -\totwidth@=\dimen144 -\lineht@=\dimen145 -\@envbody=\toks21 -\multlinegap=\skip53 -\multlinetaggap=\skip54 -\mathdisplay@stack=\toks22 +\c@parentequation=\count183 +\dspbrk@lvl=\count184 +\tag@help=\toks18 +\row@=\count185 +\column@=\count186 +\maxfields@=\count187 +\andhelp@=\toks19 +\eqnshift@=\dimen138 +\alignsep@=\dimen139 +\tagshift@=\dimen140 +\tagwidth@=\dimen141 +\totwidth@=\dimen142 +\lineht@=\dimen143 +\@envbody=\toks20 +\multlinegap=\skip50 +\multlinetaggap=\skip51 +\mathdisplay@stack=\toks21 LaTeX Info: Redefining \[ on input line 2859. LaTeX Info: Redefining \] on input line 2860. ) -("C:\Program Files\MiKTeX 2.9\tex/latex/amscls\amsthm.sty" -Package: amsthm 2017/10/31 v2.20.4 -\thm@style=\toks23 -\thm@bodyfont=\toks24 -\thm@headfont=\toks25 -\thm@notefont=\toks26 -\thm@headpunct=\toks27 -\thm@preskip=\skip55 -\thm@postskip=\skip56 -\thm@headsep=\skip57 -\dth@everypar=\toks28 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex\ctex.sty" -("C:\Program Files\MiKTeX 2.9\tex/latex/l3kernel\expl3.sty" -Package: expl3 2020-03-06 L3 programming layer (loader) - -("C:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" -File: l3backend-pdfmode.def 2020-03-12 L3 backend support: PDF mode -\l__kernel_color_stack_int=\count191 -\l__pdf_internal_box=\box47 -)) -Package: ctex 2019/05/29 v2.4.16 Chinese adapter in LaTeX (CTEX) - -("C:\Program Files\MiKTeX 2.9\tex/latex/l3packages/xparse\xparse.sty" -Package: xparse 2020-03-06 L3 Experimental document command parser -\l__xparse_current_arg_int=\count192 -\g__xparse_grabber_int=\count193 -\l__xparse_m_args_int=\count194 -\l__xparse_v_nesting_int=\count195 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/l3packages/l3keys2e\l3keys2e.sty" -Package: l3keys2e 2020-03-06 LaTeX2e option processing using LaTeX3 keys -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex\ctexhook.sty" -Package: ctexhook 2019/05/29 v2.4.16 Document and package hooks (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex\ctexpatch.sty" -Package: ctexpatch 2019/05/29 v2.4.16 Patching commands (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\fix-cm.sty" -Package: fix-cm 2015/01/14 v1.1t fixes to LaTeX - -("C:\Program Files\MiKTeX 2.9\tex/latex/base\ts1enc.def" -File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file -LaTeX Font Info: Redeclaring font encoding TS1 on input line 47. -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/ms\everysel.sty" -Package: everysel 2011/10/28 v1.2 EverySelectfont Package (MS) -) -\l__ctex_tmp_int=\count196 -\l__ctex_tmp_box=\box48 -\l__ctex_tmp_dim=\dimen146 -\g__ctex_section_depth_int=\count197 -\g__ctex_font_size_int=\count198 - -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/config\ctexopts.cfg" -File: ctexopts.cfg 2019/05/29 v2.4.16 Option configuration file (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/engine\ctex-engine-pdftex.def" -File: ctex-engine-pdftex.def 2019/05/29 v2.4.16 (pdf)LaTeX adapter (CTEX) - -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJKutf8.sty" -Package: CJKutf8 2015/04/18 4.8.4 - -("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\ifpdf.sty" -Package: ifpdf 2019/10/25 v3.4 ifpdf legacy package. Use iftex instead. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\inputenc.sty" -Package: inputenc 2018/08/11 v1.3c Input encoding file -\inpenc@prehook=\toks29 -\inpenc@posthook=\toks30 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJK.sty" -Package: CJK 2015/04/18 4.8.4 - -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk/mule\MULEenc.sty" -Package: MULEenc 2015/04/18 4.8.4 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJK.enc" -File: CJK.enc 2015/04/18 4.8.4 -Now handling font encoding C00 ... -... no UTF-8 mapping file for font encoding C00 -Now handling font encoding C05 ... -... no UTF-8 mapping file for font encoding C05 -Now handling font encoding C09 ... -... no UTF-8 mapping file for font encoding C09 -Now handling font encoding C10 ... -... no UTF-8 mapping file for font encoding C10 -Now handling font encoding C20 ... -... no UTF-8 mapping file for font encoding C20 -Now handling font encoding C19 ... -... no UTF-8 mapping file for font encoding C19 -Now handling font encoding C40 ... -... no UTF-8 mapping file for font encoding C40 -Now handling font encoding C42 ... -... no UTF-8 mapping file for font encoding C42 -Now handling font encoding C43 ... -... no UTF-8 mapping file for font encoding C43 -Now handling font encoding C50 ... -... no UTF-8 mapping file for font encoding C50 -Now handling font encoding C52 ... -... no UTF-8 mapping file for font encoding C52 -Now handling font encoding C49 ... -... no UTF-8 mapping file for font encoding C49 -Now handling font encoding C60 ... -... no UTF-8 mapping file for font encoding C60 -Now handling font encoding C61 ... -... no UTF-8 mapping file for font encoding C61 -Now handling font encoding C63 ... -... no UTF-8 mapping file for font encoding C63 -Now handling font encoding C64 ... -... no UTF-8 mapping file for font encoding C64 -Now handling font encoding C65 ... -... no UTF-8 mapping file for font encoding C65 -Now handling font encoding C70 ... -... no UTF-8 mapping file for font encoding C70 -Now handling font encoding C31 ... -... no UTF-8 mapping file for font encoding C31 -Now handling font encoding C32 ... -... no UTF-8 mapping file for font encoding C32 -Now handling font encoding C33 ... -... no UTF-8 mapping file for font encoding C33 -Now handling font encoding C34 ... -... no UTF-8 mapping file for font encoding C34 -Now handling font encoding C35 ... -... no UTF-8 mapping file for font encoding C35 -Now handling font encoding C36 ... -... no UTF-8 mapping file for font encoding C36 -Now handling font encoding C37 ... -... no UTF-8 mapping file for font encoding C37 -Now handling font encoding C80 ... -... no UTF-8 mapping file for font encoding C80 -Now handling font encoding C81 ... -... no UTF-8 mapping file for font encoding C81 -Now handling font encoding C01 ... -... no UTF-8 mapping file for font encoding C01 -Now handling font encoding C11 ... -... no UTF-8 mapping file for font encoding C11 -Now handling font encoding C21 ... -... no UTF-8 mapping file for font encoding C21 -Now handling font encoding C41 ... -... no UTF-8 mapping file for font encoding C41 -Now handling font encoding C62 ... -... no UTF-8 mapping file for font encoding C62 -) -LaTeX Info: Redefining \selectfont on input line 755. -\CJK@indent=\box49 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" -Package: fontenc 2020/02/11 v2.0o Standard LaTeX package -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjkpunct\CJKpunct.sty" -Package: CJKpunct 2016/05/14 4.8.4 -\CJKpunct@cnta=\count199 -\CJKpunct@cntb=\count266 -\CJKpunct@cntc=\count267 -\CJKpunct@cntd=\count268 -\CJKpunct@cnte=\count269 - defining Unicode char U+2018 (decimal 8216) - defining Unicode char U+2019 (decimal 8217) - defining Unicode char U+201C (decimal 8220) - defining Unicode char U+201D (decimal 8221) - defining Unicode char U+2014 (decimal 8212) - defining Unicode char U+2026 (decimal 8230) - -("C:\Program Files\MiKTeX 2.9\tex/latex/cjkpunct\CJKpunct.spa")) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJKspace.sty" -Package: CJKspace 2015/04/18 3.8.0 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex\ctexspa.def" -File: ctexspa.def 2019/05/29 v2.4.16 Space info for CJKpunct (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJKfntef.sty" -Package: CJKfntef 2015/04/18 4.8.4 - -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk\CJKulem.sty" -Package: CJKulem 2015/04/18 4.8.4 - -("C:\Program Files\MiKTeX 2.9\tex/latex/ulem\ulem.sty" -\UL@box=\box50 -\UL@hyphenbox=\box51 -\UL@skip=\skip58 -\UL@hook=\toks31 -\UL@height=\dimen147 -\UL@pe=\count270 -\UL@pixel=\dimen148 -\ULC@box=\box52 -Package: ulem 2019/11/18 -\ULdepth=\dimen149 -) -\UL@lastkern=\dimen150 -\CJK@skip=\skip59 -) -\CJK@fntefSkip=\skip60 -\CJK@nest=\count271 -\CJK@fntefDimen=\dimen151 -\CJK@underdotBox=\box53 -\CJK@ULbox=\box54 -\CJK@underanyskip=\dimen152 -) -\ccwd=\dimen153 -\l__ctex_ccglue_skip=\skip61 -) -\l__ctex_ziju_dim=\dimen154 - -("C:\Program Files\MiKTeX 2.9\tex/latex/zhnumber\zhnumber.sty" -Package: zhnumber 2019/04/07 v2.7 Typesetting numbers with Chinese glyphs -\l__zhnum_scale_int=\count272 -\l__zhnum_byte_min_int=\count273 -\l__zhnum_byte_max_int=\count274 - -("C:\Program Files\MiKTeX 2.9\tex/latex/zhnumber\zhnumber-utf8.cfg" -File: zhnumber-utf8.cfg 2019/04/07 v2.7 Chinese numerals with UTF8 encoding -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/scheme\ctex-scheme-plain.def" -File: ctex-scheme-plain.def 2019/05/29 v2.4.16 Plain scheme for generic (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/fontset\ctex-fontset-windows.def" -File: ctex-fontset-windows.def 2019/05/29 v2.4.16 Windows fonts definition (CTE -X) - -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/fontset\ctex-fontset-windowsnew.de -f" -File: ctex-fontset-windowsnew.def 2019/05/29 v2.4.16 Windows fonts definition f -or Vista or later version (CTEX) - ("C:\Program Files\MiKTeX 2.9\tex/generic/ctex\zhwindowsfonts.tex" -File: zhwindowsfonts.tex 2019/05/29 v2.4.16 Windows font map loader for pdfTeX -and DVIPDFMx (CTEX) -{C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}{UGBK.sfd -}{Unicode.sfd})))) ("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/config\ctex.cfg -" -File: ctex.cfg 2019/05/29 v2.4.16 Configuration file (CTEX) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\newtxtext.sty" -Package: newtxtext 2020/03/02 v1.625 - -`newtxtext' v1.625, 2020/03/02 Text macros taking advantage of TeX-Gyre Termes -fonts (msharpe) ("C:\Program Files\MiKTeX 2.9\tex/latex/fontaxes\fontaxes.sty" -Package: fontaxes 2014/03/23 v1.0d Font selection axes -LaTeX Info: Redefining \upshape on input line 29. -LaTeX Info: Redefining \itshape on input line 31. -LaTeX Info: Redefining \slshape on input line 33. -LaTeX Info: Redefining \swshape on input line 35. -LaTeX Info: Redefining \scshape on input line 37. -LaTeX Info: Redefining \sscshape on input line 39. -LaTeX Info: Redefining \ulcshape on input line 41. -LaTeX Info: Redefining \textsw on input line 47. -LaTeX Info: Redefining \textssc on input line 48. -LaTeX Info: Redefining \textulc on input line 49. -) -\ntx@fs=\dimen155 -("C:\Program Files\MiKTeX 2.9\tex/latex/xkeyval\xkeyval.sty" -Package: xkeyval 2014/12/03 v2.7a package option processing (HA) - -("C:\Program Files\MiKTeX 2.9\tex/generic/xkeyval\xkeyval.tex" -("C:\Program Files\MiKTeX 2.9\tex/generic/xkeyval\xkvutils.tex" -\XKV@toks=\toks32 -\XKV@tempa@toks=\toks33 -) -\XKV@depth=\count275 -File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) -)) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" -Package: fontenc 2020/02/11 v2.0o Standard LaTeX package -LaTeX Font Info: Trying to load font information for T1+ntxtlf on input line - 112. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\t1ntxtlf.fd" -File: t1ntxtlf.fd 2015/01/17 v1.0 font definition file for T1/ntx/tlf -) -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 10.0pt on input line 112. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/base\textcomp.sty" -Package: textcomp 2020/02/02 v2.0n Standard LaTeX package -LaTeX Font Info: Changing ? sub-encoding to TS1/0 on input line 75. -) -\ntxt@cntz=\count276 -LaTeX Font Info: Redeclaring math symbol \mathsterling on input line 263. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\newtxmath.sty" -Package: newtxmath 2020/03/02 v1.625 - -`newtxmath' v1.625, 2020/03/02 Math macros based originally on txfonts (msharpe -) ("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\ifluatex.sty" -Package: ifluatex 2019/10/25 v1.5 ifluatex legacy package. Use iftex instead. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/oberdiek\centernot.sty" -Package: centernot 2016/05/16 v1.4 Centers the not symbol horizontally (HO) -) -\tx@cntz=\count277 - -("C:\Program Files\MiKTeX 2.9\tex/generic/binhex\binhex.tex") -\tx@Isdigit=\count278 -\tx@IsAlNum=\count279 -\tx@tA=\toks34 -\tx@tB=\toks35 -\tx@su=\read3 -LaTeX Font Info: Redeclaring symbol font `operators' on input line 317. -LaTeX Font Info: Overwriting symbol font `operators' in version `normal' -(Font) OT1/cmr/m/n --> OT1/ntxtlf/m/n on input line 317. -LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/m/n on input line 317. -LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/ntxtlf/m/n --> OT1/ntxtlf/b/n on input line 318. -LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 326. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' -(Font) OT1/cmss/m/n --> T1/qhv/m/n on input line 326. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) OT1/cmss/bx/n --> T1/qhv/m/n on input line 326. -LaTeX Font Info: Redeclaring math alphabet \mathit on input line 327. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' -(Font) OT1/cmr/m/it --> OT1/ntxtlf/m/it on input line 327. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) OT1/cmr/bx/it --> OT1/ntxtlf/m/it on input line 327. -LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 328. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' -(Font) OT1/cmtt/m/n --> T1/ntxtt/m/n on input line 328. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) OT1/cmtt/m/n --> T1/ntxtt/m/n on input line 328. -LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 330. -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/b/n on input line 330. -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/b/n on input line 330. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) OT1/ntxtlf/m/it --> OT1/ntxtlf/b/it on input line 331. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) T1/qhv/m/n --> T1/qhv/b/n on input line 332. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) T1/ntxtt/m/n --> T1/ntxtt/b/n on input line 333. -LaTeX Font Info: Redeclaring symbol font `letters' on input line 422. -LaTeX Font Info: Overwriting symbol font `letters' in version `normal' -(Font) OML/cmm/m/it --> OML/ntxmi/m/it on input line 422. -LaTeX Font Info: Overwriting symbol font `letters' in version `bold' -(Font) OML/cmm/b/it --> OML/ntxmi/m/it on input line 422. -LaTeX Font Info: Overwriting symbol font `letters' in version `bold' -(Font) OML/ntxmi/m/it --> OML/ntxmi/b/it on input line 423. -\symlettersA=\mathgroup4 -LaTeX Font Info: Overwriting symbol font `lettersA' in version `bold' -(Font) U/ntxmia/m/it --> U/ntxmia/b/it on input line 476. -Now handling font encoding LMS ... -... no UTF-8 mapping file for font encoding LMS -LaTeX Font Info: Redeclaring symbol font `symbols' on input line 497. -LaTeX Font Info: Encoding `OMS' has changed to `LMS' for symbol font -(Font) `symbols' in the math version `normal' on input line 497. -LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' -(Font) OMS/cmsy/m/n --> LMS/ntxsy/m/n on input line 497. -LaTeX Font Info: Encoding `OMS' has changed to `LMS' for symbol font -(Font) `symbols' in the math version `bold' on input line 497. -LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' -(Font) OMS/cmsy/b/n --> LMS/ntxsy/m/n on input line 497. -LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' -(Font) LMS/ntxsy/m/n --> LMS/ntxsy/b/n on input line 498. -\symAMSm=\mathgroup5 -LaTeX Font Info: Overwriting symbol font `AMSm' in version `bold' -(Font) U/ntxsym/m/n --> U/ntxsym/b/n on input line 521. -\symsymbolsC=\mathgroup6 -LaTeX Font Info: Overwriting symbol font `symbolsC' in version `bold' -(Font) U/ntxsyc/m/n --> U/ntxsyc/b/n on input line 542. -Now handling font encoding LMX ... -... no UTF-8 mapping file for font encoding LMX -LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 555. -LaTeX Font Info: Encoding `OMX' has changed to `LMX' for symbol font -(Font) `largesymbols' in the math version `normal' on input line 5 -55. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' -(Font) OMX/cmex/m/n --> LMX/ntxexx/m/n on input line 555. -LaTeX Font Info: Encoding `OMX' has changed to `LMX' for symbol font -(Font) `largesymbols' in the math version `bold' on input line 555 -. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' -(Font) OMX/cmex/m/n --> LMX/ntxexx/m/n on input line 555. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' -(Font) LMX/ntxexx/m/n --> LMX/ntxexx/b/n on input line 556. -\symlargesymbolsTXA=\mathgroup7 -LaTeX Font Info: Overwriting symbol font `largesymbolsTXA' in version `bold' - -(Font) U/ntxexa/m/n --> U/ntxexa/b/n on input line 570. -\tx@sbptoks=\toks36 -LaTeX Font Info: Redeclaring math delimiter \lfloor on input line 792. -LaTeX Font Info: Redeclaring math delimiter \rfloor on input line 793. -LaTeX Font Info: Redeclaring math delimiter \lceil on input line 794. -LaTeX Font Info: Redeclaring math delimiter \rceil on input line 795. -LaTeX Font Info: Redeclaring math delimiter \lbrace on input line 796. -LaTeX Font Info: Redeclaring math delimiter \rbrace on input line 797. -LaTeX Font Info: Redeclaring math delimiter \langle on input line 798. -LaTeX Font Info: Redeclaring math delimiter \rangle on input line 800. -LaTeX Font Info: Redeclaring math delimiter \arrowvert on input line 804. -LaTeX Font Info: Redeclaring math delimiter \vert on input line 805. -LaTeX Font Info: Redeclaring math symbol \hbar on input line 851. -LaTeX Font Info: Redeclaring math accent \dot on input line 876. -LaTeX Font Info: Redeclaring math accent \ddot on input line 877. -LaTeX Font Info: Redeclaring math accent \vec on input line 1940. -\ntx@numstart=\count280 -\ntx@UCstart=\count281 -\ntx@lcstart=\count282 -\ntx@tmpc=\count283 -\ntx@imath=\count284 -\ntx@jmath=\count285 -LaTeX Info: Redefining \Bbbk on input line 2449. -LaTeX Info: Redefining \not on input line 2598. -LaTeX Info: Redefining \textsquare on input line 2628. -LaTeX Info: Redefining \openbox on input line 2630. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/esint\esint.sty" -Package: esint -\symlargesymbolsA=\mathgroup8 -) -\symCMlargesymbols=\mathgroup9 - -("C:\Program Files\MiKTeX 2.9\tex/latex/tools\indentfirst.sty" -Package: indentfirst 1995/11/23 v1.03 Indent first paragraph (DPC) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/anyfontsize\anyfontsize.sty" -Package: anyfontsize 2007/11/22 anyfontsize.sty by pts -) -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphicx.sty" -Package: graphicx 2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR) - -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphics.sty" -Package: graphics 2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR) - -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\trig.sty" -Package: trig 2016/01/03 v1.10 sin cos tan (DPC) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\graphics.cfg" -File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration -) -Package graphics Info: Driver file: pdftex.def on input line 105. - -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-def\pdftex.def" -File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex -)) -\Gin@req@height=\dimen156 -\Gin@req@width=\dimen157 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/booktabs\booktabs.sty" -Package: booktabs 2020/01/12 v1.61803398 Publication quality tables -\heavyrulewidth=\dimen158 -\lightrulewidth=\dimen159 -\cmidrulewidth=\dimen160 -\belowrulesep=\dimen161 -\belowbottomsep=\dimen162 -\aboverulesep=\dimen163 -\abovetopsep=\dimen164 -\cmidrulesep=\dimen165 -\cmidrulekern=\dimen166 -\defaultaddspace=\dimen167 -\@cmidla=\count286 -\@cmidlb=\count287 -\@aboverulesep=\dimen168 -\@belowrulesep=\dimen169 -\@thisruleclass=\count288 -\@lastruleclass=\count289 -\@thisrulewidth=\dimen170 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/xcolor\xcolor.sty" -Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) - -("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\color.cfg" -File: color.cfg 2016/01/02 v1.6 sample color configuration -) -Package xcolor Info: Driver file: pdftex.def on input line 225. -Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. -Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. -Package xcolor Info: Model `RGB' extended on input line 1364. -Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. -Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. -Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. -Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. -Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. -Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/hyperref\hyperref.sty" -Package: hyperref 2020/01/14 v7.00d Hypertext links for LaTeX - -("C:\Program Files\MiKTeX 2.9\tex/latex/pdftexcmds\pdftexcmds.sty" -Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO -) - -("C:\Program Files\MiKTeX 2.9\tex/generic/infwarerr\infwarerr.sty" -Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) -) -Package pdftexcmds Info: \pdf@primitive is available. -Package pdftexcmds Info: \pdf@ifprimitive is available. -Package pdftexcmds Info: \pdfdraftmode found. -) -("C:\Program Files\MiKTeX 2.9\tex/generic/kvdefinekeys\kvdefinekeys.sty" -Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pdfescape\pdfescape.sty" -Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/hycolor\hycolor.sty" -Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/letltxmacro\letltxmacro.sty" -Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/auxhook\auxhook.sty" -Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO) -) -\@linkdim=\dimen171 -\Hy@linkcounter=\count290 -\Hy@pagecounter=\count291 - -("C:\Program Files\MiKTeX 2.9\tex/latex/hyperref\pd1enc.def" -File: pd1enc.def 2020/01/14 v7.00d Hyperref: PDFDocEncoding definition (HO) -Now handling font encoding PD1 ... -... no UTF-8 mapping file for font encoding PD1 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/intcalc\intcalc.sty" -Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/etexcmds\etexcmds.sty" -Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO) -) -\Hy@SavedSpaceFactor=\count292 -Package hyperref Info: Option `unicode' set `true' on input line 4421. - -("C:\Program Files\MiKTeX 2.9\tex/latex/hyperref\puenc.def" -File: puenc.def 2020/01/14 v7.00d Hyperref: PDF Unicode definition (HO) -Now handling font encoding PU ... -... no UTF-8 mapping file for font encoding PU -) -Package hyperref Info: Hyper figures OFF on input line 4547. -Package hyperref Info: Link nesting OFF on input line 4552. -Package hyperref Info: Hyper index ON on input line 4555. -Package hyperref Info: Plain pages OFF on input line 4562. -Package hyperref Info: Backreferencing OFF on input line 4567. -Package hyperref Info: Implicit mode ON; LaTeX internals redefined. -Package hyperref Info: Bookmarks ON on input line 4800. -\c@Hy@tempcnt=\count293 - -("C:\Program Files\MiKTeX 2.9\tex/latex/url\url.sty" -\Urlmuskip=\muskip17 -Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. -) -LaTeX Info: Redefining \url on input line 5159. -\XeTeXLinkMargin=\dimen172 - -("C:\Program Files\MiKTeX 2.9\tex/generic/bitset\bitset.sty" -Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) - -("C:\Program Files\MiKTeX 2.9\tex/generic/bigintcalc\bigintcalc.sty" -Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO -) -)) -\Fld@menulength=\count294 -\Field@Width=\dimen173 -\Fld@charsize=\dimen174 -Package hyperref Info: Hyper figures OFF on input line 6430. -Package hyperref Info: Link nesting OFF on input line 6435. -Package hyperref Info: Hyper index ON on input line 6438. -Package hyperref Info: backreferencing OFF on input line 6445. -Package hyperref Info: Link coloring OFF on input line 6450. -Package hyperref Info: Link coloring with OCG OFF on input line 6455. -Package hyperref Info: PDF/A mode OFF on input line 6460. -LaTeX Info: Redefining \ref on input line 6500. -LaTeX Info: Redefining \pageref on input line 6504. - -("C:\Program Files\MiKTeX 2.9\tex/generic/atbegshi\atbegshi.sty" -Package: atbegshi 2019/12/05 v1.19 At begin shipout hook (HO) -) -\Hy@abspage=\count295 -\c@Item=\count296 -\c@Hfootnote=\count297 -) -Package hyperref Info: Driver (autodetected): hpdftex. - -("C:\Program Files\MiKTeX 2.9\tex/latex/hyperref\hpdftex.def" -File: hpdftex.def 2020/01/14 v7.00d Hyperref driver for pdfTeX - -("C:\Program Files\MiKTeX 2.9\tex/latex/atveryend\atveryend.sty" -Package: atveryend 2019-12-11 v1.11 Hooks at the very end of document (HO) -) -\Fld@listcount=\count298 -\c@bookmark@seq@number=\count299 - -("C:\Program Files\MiKTeX 2.9\tex/latex/rerunfilecheck\rerunfilecheck.sty" -Package: rerunfilecheck 2019/12/05 v1.9 Rerun checks for auxiliary files (HO) - -("C:\Program Files\MiKTeX 2.9\tex/generic/uniquecounter\uniquecounter.sty" -Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO) -) -Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2 -86. -) -\Hy@SectionHShift=\skip62 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/xpatch\xpatch.sty" -Package: xpatch 2020/03/25 v0.3a Extending etoolbox patching commands -) -Package hyperref Info: Option `colorlinks' set `true' on input line 115. - -("C:\Program Files\MiKTeX 2.9\tex/generic/hologo\hologo.sty" -Package: hologo 2019/12/05 v1.14 A logo collection with bookmark support (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/silence\silence.sty" -Package: silence 2012/07/02 v1.5b Selective filtering of warnings and error mes -sages -\sl@Save=\count300 -\sl@StateNumber=\count301 -\sl@MessageCount=\count302 -\sl@Casualties=\count303 -\sl@Filter=\toks37 -\sl@Message=\toks38 -\sl@UnexpandedMessage=\toks39 -\sl@Mess@ge=\toks40 -\sl@WarningCount=\count304 -\sl@WarningNumber=\count305 -\sl@WarningCasualties=\count306 -\sl@TempBOW=\toks41 -\sl@BankOfWarnings=\toks42 -LaTeX Info: Redefining \GenericWarning on input line 433. -\sl@ErrorCount=\count307 -\sl@ErrorNumber=\count308 -\sl@ErrorCasualties=\count309 -\sl@TempBOE=\toks43 -\sl@BankOfErrors=\toks44 -LaTeX Info: Redefining \GenericError on input line 601. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/caption\caption.sty" -Package: caption 2020/01/03 v3.4h Customizing captions (AR) - -("C:\Program Files\MiKTeX 2.9\tex/latex/caption\caption3.sty" -Package: caption3 2020/01/03 v1.8h caption3 kernel (AR) -Package caption3 Info: TeX engine: e-TeX on input line 61. -\captionmargin=\dimen175 -\captionmargin@=\dimen176 -\captionwidth=\dimen177 -\caption@tempdima=\dimen178 -\caption@indent=\dimen179 -\caption@parindent=\dimen180 -\caption@hangindent=\dimen181 -Package caption Info: Standard document class detected. -) -\c@caption@flags=\count310 -\c@continuedfloat=\count311 -Package caption Info: hyperref package is loaded. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/enumitem\enumitem.sty" -Package: enumitem 2019/06/20 v3.9 Customized lists -\labelindent=\skip63 -\enit@outerparindent=\dimen182 -\enit@toks=\toks45 -\enit@inbox=\box55 -\enit@count@id=\count312 -\enitdp@description=\count313 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/natbib\natbib.sty" -Package: natbib 2010/09/13 8.31b (PWD, AO) -\bibhang=\skip64 -\bibsep=\skip65 -LaTeX Info: Redefining \cite on input line 694. -\c@NAT@ctr=\count314 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/fancyhdr\fancyhdr.sty" -Package: fancyhdr 2019/01/31 v3.10 Extensive control of page headers and footer -s -\f@nch@headwidth=\skip66 -\f@nch@O@elh=\skip67 -\f@nch@O@erh=\skip68 -\f@nch@O@olh=\skip69 -\f@nch@O@orh=\skip70 -\f@nch@O@elf=\skip71 -\f@nch@O@erf=\skip72 -\f@nch@O@olf=\skip73 -\f@nch@O@orf=\skip74 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/footmisc\footmisc.sty" -Package: footmisc 2011/06/06 v5.5b a miscellany of footnote facilities -\FN@temptoken=\toks46 -\footnotemargin=\dimen183 -\c@pp@next@reset=\count315 -Package footmisc Info: Declaring symbol style bringhurst on input line 855. -Package footmisc Info: Declaring symbol style chicago on input line 863. -Package footmisc Info: Declaring symbol style wiley on input line 872. -Package footmisc Info: Declaring symbol style lamport-robust on input line 883. - -Package footmisc Info: Declaring symbol style lamport* on input line 903. -Package footmisc Info: Declaring symbol style lamport*-robust on input line 924 -. -) -("C:\Program Files\MiKTeX 2.9\tex/latex/titlesec\titlesec.sty" -Package: titlesec 2019/10/16 v2.13 Sectioning titles -\ttl@box=\box56 -\beforetitleunit=\skip75 -\aftertitleunit=\skip76 -\ttl@plus=\dimen184 -\ttl@minus=\dimen185 -\ttl@toksa=\toks47 -\titlewidth=\dimen186 -\titlewidthlast=\dimen187 -\titlewidthfirst=\dimen188 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/geometry\geometry.sty" -Package: geometry 2020/01/02 v5.9 Page Geometry - -("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\ifvtex.sty" -Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. -) -\Gm@cnth=\count316 -\Gm@cntv=\count317 -\c@Gm@tempcnt=\count318 -\Gm@bindingoffset=\dimen189 -\Gm@wd@mp=\dimen190 -\Gm@odd@mp=\dimen191 -\Gm@even@mp=\dimen192 -\Gm@layoutwidth=\dimen193 -\Gm@layoutheight=\dimen194 -\Gm@layouthoffset=\dimen195 -\Gm@layoutvoffset=\dimen196 -\Gm@dimlist=\toks48 - -("C:\Program Files\MiKTeX 2.9\tex/latex/geometry\geometry.cfg")) -("C:\Program Files\MiKTeX 2.9\tex/latex/extsizes\extsizes.sty" -Package: extsizes 1996/10/08 v1.0 Non Standard LaTeX Package - -("C:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" -File: size12.clo 2019/12/20 v1.4l Standard LaTeX file (size option) -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 12.0pt on input line 54. -LaTeX Info: The control sequence `\normalsize' is already robust on input line -56. -LaTeX Info: Redefining \small on input line 58. -LaTeX Info: Redefining \footnotesize on input line 69. -LaTeX Info: Redefining \scriptsize on input line 80. -LaTeX Info: Redefining \tiny on input line 81. -LaTeX Info: Redefining \large on input line 82. -LaTeX Info: Redefining \Large on input line 83. -LaTeX Info: Redefining \LARGE on input line 84. -LaTeX Info: Redefining \huge on input line 85. -)) -\c@theorem=\count319 -\c@definition=\count320 -\c@conjecture=\count321 -\c@example=\count322 -\c@case=\count323 - -("C:\Program Files\MiKTeX 2.9\tex/latex/gbt7714\gbt7714.sty" -Package: gbt7714 2020/03/14 v2.0.1 GB/T 7714-2015 BibTeX Style - - -Package gbt7714 Warning: The option "numbers" is obselete on input line 61. - - -! LaTeX Error: Option clash for package natbib. - -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.63 \RequirePackage - {url} -The package natbib has already been loaded with options: - [sort&compress] -There has now been an attempt to load it with options - [compress] -Adding the global options: - sort&compress,compress -to your \documentclass declaration may fix this. -Try typing to proceed. - -) -\version=\toks49 -\institute=\toks50 - ("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/frontendlayer\tikz.sty" -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/basiclayer\pgf.sty" -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/utilities\pgfrcs.sty" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfutil-common.tex" -\pgfutil@everybye=\toks51 -\pgfutil@tempdima=\dimen197 -\pgfutil@tempdimb=\dimen198 - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfutil-common-lists.te -x")) ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfutil-latex.def" -\pgfutil@abb=\box57 -("C:\Program Files\MiKTeX 2.9\tex/latex/ms\everyshi.sty" -Package: everyshi 2001/05/15 v3.00 EveryShipout Package (MS) -)) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfrcs.code.tex" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf\pgf.revision.tex") -Package: pgfrcs 2020/01/08 v3.1.5b (3.1.5b) -)) -Package: pgf 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/basiclayer\pgfcore.sty" -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/systemlayer\pgfsys.sty" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgfsys.code.tex" -Package: pgfsys 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfkeys.code.tex" -\pgfkeys@pathtoks=\toks52 -\pgfkeys@temptoks=\toks53 - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfkeysfiltered.code.te -x" -\pgfkeys@tmptoks=\toks54 -)) -\pgf@x=\dimen199 -\pgf@y=\dimen256 -\pgf@xa=\dimen257 -\pgf@ya=\dimen258 -\pgf@xb=\dimen259 -\pgf@yb=\dimen260 -\pgf@xc=\dimen261 -\pgf@yc=\dimen262 -\pgf@xd=\dimen263 -\pgf@yd=\dimen264 -\w@pgf@writea=\write3 -\r@pgf@reada=\read4 -\c@pgf@counta=\count324 -\c@pgf@countb=\count325 -\c@pgf@countc=\count326 -\c@pgf@countd=\count327 -\t@pgf@toka=\toks55 -\t@pgf@tokb=\toks56 -\t@pgf@tokc=\toks57 -\pgf@sys@id@count=\count328 - ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgf.cfg" -File: pgf.cfg 2020/01/08 v3.1.5b (3.1.5b) -) -Driver file for pgf: pgfsys-pdftex.def - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgfsys-pdftex.def" -File: pgfsys-pdftex.def 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgfsys-common-pdf.def -" -File: pgfsys-common-pdf.def 2020/01/08 v3.1.5b (3.1.5b) -))) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgfsyssoftpath.code.t -ex" -File: pgfsyssoftpath.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfsyssoftpath@smallbuffer@items=\count329 -\pgfsyssoftpath@bigbuffer@items=\count330 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/systemlayer\pgfsysprotocol.code.t -ex" -File: pgfsysprotocol.code.tex 2020/01/08 v3.1.5b (3.1.5b) -)) ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcore.code.tex" -Package: pgfcore 2020/01/08 v3.1.5b (3.1.5b) - ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmath.code.tex" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathcalc.code.tex" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathutil.code.tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathparser.code.tex" -\pgfmath@dimen=\dimen265 -\pgfmath@count=\count331 -\pgfmath@box=\box58 -\pgfmath@toks=\toks58 -\pgfmath@stack@operand=\toks59 -\pgfmath@stack@operation=\toks60 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.code.tex" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.basic.code. -tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.trigonometr -ic.code.tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.random.code -.tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.comparison. -code.tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.base.code.t -ex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.round.code. -tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.misc.code.t -ex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfunctions.integerarit -hmetics.code.tex"))) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmathfloat.code.tex" -\c@pgfmathroundto@lastzeros=\count332 -)) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfint.code.tex") -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorepoints.code.tex -" -File: pgfcorepoints.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@picminx=\dimen266 -\pgf@picmaxx=\dimen267 -\pgf@picminy=\dimen268 -\pgf@picmaxy=\dimen269 -\pgf@pathminx=\dimen270 -\pgf@pathmaxx=\dimen271 -\pgf@pathminy=\dimen272 -\pgf@pathmaxy=\dimen273 -\pgf@xx=\dimen274 -\pgf@xy=\dimen275 -\pgf@yx=\dimen276 -\pgf@yy=\dimen277 -\pgf@zx=\dimen278 -\pgf@zy=\dimen279 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorepathconstruct.c -ode.tex" -File: pgfcorepathconstruct.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@path@lastx=\dimen280 -\pgf@path@lasty=\dimen281 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorepathusage.code. -tex" -File: pgfcorepathusage.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@shorten@end@additional=\dimen282 -\pgf@shorten@start@additional=\dimen283 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorescopes.code.tex -" -File: pgfcorescopes.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfpic=\box59 -\pgf@hbox=\box60 -\pgf@layerbox@main=\box61 -\pgf@picture@serial@count=\count333 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoregraphicstate.co -de.tex" -File: pgfcoregraphicstate.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgflinewidth=\dimen284 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoretransformations -.code.tex" -File: pgfcoretransformations.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@pt@x=\dimen285 -\pgf@pt@y=\dimen286 -\pgf@pt@temp=\dimen287 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorequick.code.tex" -File: pgfcorequick.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoreobjects.code.te -x" -File: pgfcoreobjects.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorepathprocessing. -code.tex" -File: pgfcorepathprocessing.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorearrows.code.tex -" -File: pgfcorearrows.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfarrowsep=\dimen288 -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoreshade.code.tex" -File: pgfcoreshade.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@max=\dimen289 -\pgf@sys@shading@range@num=\count334 -\pgf@shadingcount=\count335 -) ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoreimage.code.te -x" -File: pgfcoreimage.code.tex 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoreexternal.code.t -ex" -File: pgfcoreexternal.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfexternal@startupbox=\box62 -)) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorelayers.code.tex -" -File: pgfcorelayers.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcoretransparency.co -de.tex" -File: pgfcoretransparency.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorepatterns.code.t -ex" -File: pgfcorepatterns.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/basiclayer\pgfcorerdf.code.tex" -File: pgfcorerdf.code.tex 2020/01/08 v3.1.5b (3.1.5b) -))) ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/modules\pgfmoduleshapes.code. -tex" -File: pgfmoduleshapes.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfnodeparttextbox=\box63 -) ("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/modules\pgfmoduleplot.code.tex" -File: pgfmoduleplot.code.tex 2020/01/08 v3.1.5b (3.1.5b) -) -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/compatibility\pgfcomp-version-0-65. -sty" -Package: pgfcomp-version-0-65 2020/01/08 v3.1.5b (3.1.5b) -\pgf@nodesepstart=\dimen290 -\pgf@nodesepend=\dimen291 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/compatibility\pgfcomp-version-1-18. -sty" -Package: pgfcomp-version-1-18 2020/01/08 v3.1.5b (3.1.5b) -)) ("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/utilities\pgffor.sty" -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/utilities\pgfkeys.sty" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgfkeys.code.tex")) -("C:\Program Files\MiKTeX 2.9\tex/latex/pgf/math\pgfmath.sty" -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmath.code.tex")) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/utilities\pgffor.code.tex" -Package: pgffor 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/math\pgfmath.code.tex") -\pgffor@iter=\dimen292 -\pgffor@skip=\dimen293 -\pgffor@stack=\toks61 -\pgffor@toks=\toks62 -)) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/frontendlayer/tikz\tikz.code.tex" -Package: tikz 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/libraries\pgflibraryplothandlers. -code.tex" -File: pgflibraryplothandlers.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgf@plot@mark@count=\count336 -\pgfplotmarksize=\dimen294 -) -\tikz@lastx=\dimen295 -\tikz@lasty=\dimen296 -\tikz@lastxsaved=\dimen297 -\tikz@lastysaved=\dimen298 -\tikz@lastmovetox=\dimen299 -\tikz@lastmovetoy=\dimen300 -\tikzleveldistance=\dimen301 -\tikzsiblingdistance=\dimen302 -\tikz@figbox=\box64 -\tikz@figbox@bg=\box65 -\tikz@tempbox=\box66 -\tikz@tempbox@bg=\box67 -\tikztreelevel=\count337 -\tikznumberofchildren=\count338 -\tikznumberofcurrentchild=\count339 -\tikz@fig@count=\count340 - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/modules\pgfmodulematrix.code.tex" -File: pgfmodulematrix.code.tex 2020/01/08 v3.1.5b (3.1.5b) -\pgfmatrixcurrentrow=\count341 -\pgfmatrixcurrentcolumn=\count342 -\pgf@matrix@numberofcolumns=\count343 -) -\tikz@expandcount=\count344 - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/frontendlayer/tikz/libraries\tikz -librarytopaths.code.tex" -File: tikzlibrarytopaths.code.tex 2020/01/08 v3.1.5b (3.1.5b) -))) -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/frontendlayer/tikz/libraries\tikz -libraryshadows.code.tex" -File: tikzlibraryshadows.code.tex 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/frontendlayer/tikz/libraries\tikz -libraryfadings.code.tex" -File: tikzlibraryfadings.code.tex 2020/01/08 v3.1.5b (3.1.5b) - -("C:\Program Files\MiKTeX 2.9\tex/generic/pgf/libraries\pgflibraryfadings.code. -tex" -File: pgflibraryfadings.code.tex 2020/01/08 v3.1.5b (3.1.5b) -))) ("C:\Program Files\MiKTeX 2.9\tex/latex/listings\listings.sty" -\lst@mode=\count345 -\lst@gtempboxa=\box68 -\lst@token=\toks63 -\lst@length=\count346 -\lst@currlwidth=\dimen303 -\lst@column=\count347 -\lst@pos=\count348 -\lst@lostspace=\dimen304 -\lst@width=\dimen305 -\lst@newlines=\count349 -\lst@lineno=\count350 -\lst@maxwidth=\dimen306 - -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstmisc.sty" -File: lstmisc.sty 2019/09/10 1.8c (Carsten Heinz) -\c@lstnumber=\count351 -\lst@skipnumbers=\count352 -\lst@framebox=\box69 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\listings.cfg" -File: listings.cfg 2019/09/10 1.8c listings configuration -)) -Package: listings 2019/09/10 1.8c (Carsten Heinz) - -("C:\Program Files\MiKTeX 2.9\tex/latex/lstaddons\lstautogobble.sty" -Package: lstautogobble 2012/05/03 v0.1 Implements 'autogobble' option for 'list -ings' -\lstag@spacecount=\count353 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang1.sty" -File: lstlang1.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang2.sty" -File: lstlang2.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang3.sty" -File: lstlang3.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang1.sty" -File: lstlang1.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang2.sty" -File: lstlang2.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang3.sty" -File: lstlang3.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang1.sty" -File: lstlang1.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang2.sty" -File: lstlang2.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstlang3.sty" -File: lstlang3.sty 2019/09/10 1.8c listings language file -) -("C:\Program Files\MiKTeX 2.9\tex/latex/listings\lstmisc.sty" -File: lstmisc.sty 2019/09/10 1.8c (Carsten Heinz) -)) ("C:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" ("C:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" ("C:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" -\integerpart=\count354 -\decimalpart=\count355 +\integerpart=\count188 +\decimalpart=\count189 ) Package: xstring 2019/02/06 v1.83 String manipulations (CT) ) ("C:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" -\SYS_systemecode=\toks64 -\SYS_systempreamble=\toks65 -\SYSeqnum=\count356 +\SYS_systemecode=\toks22 +\SYS_systempreamble=\toks23 +\SYSeqnum=\count190 ) Package: systeme 2019/01/13 v0.32 Mise en forme de systemes d'equations (CT) ) @@ -1265,242 +112,13 @@ Package: amssymb 2013/01/14 v3.01 AMS font symbols ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support -\symAMSa=\mathgroup10 -\symAMSb=\mathgroup11 -LaTeX Font Info: Redeclaring math delimiter \ulcorner on input line 74. -LaTeX Font Info: Redeclaring math delimiter \urcorner on input line 75. -LaTeX Font Info: Redeclaring math delimiter \llcorner on input line 76. -LaTeX Font Info: Redeclaring math delimiter \lrcorner on input line 77. -LaTeX Font Info: Redeclaring math symbol \square on input line 141. -LaTeX Font Info: Redeclaring math symbol \lozenge on input line 142. -) -LaTeX Font Info: Redeclaring math symbol \boxdot on input line 44. -LaTeX Font Info: Redeclaring math symbol \boxplus on input line 45. -LaTeX Font Info: Redeclaring math symbol \boxtimes on input line 46. -LaTeX Font Info: Redeclaring math symbol \blacksquare on input line 48. -LaTeX Font Info: Redeclaring math symbol \centerdot on input line 49. -LaTeX Font Info: Redeclaring math symbol \blacklozenge on input line 51. -LaTeX Font Info: Redeclaring math symbol \circlearrowright on input line 52. - -LaTeX Font Info: Redeclaring math symbol \circlearrowleft on input line 53. -LaTeX Font Info: Redeclaring math symbol \leftrightharpoons on input line 56 -. -LaTeX Font Info: Redeclaring math symbol \boxminus on input line 57. -LaTeX Font Info: Redeclaring math symbol \Vdash on input line 58. -LaTeX Font Info: Redeclaring math symbol \Vvdash on input line 59. -LaTeX Font Info: Redeclaring math symbol \vDash on input line 60. -LaTeX Font Info: Redeclaring math symbol \twoheadrightarrow on input line 61 -. -LaTeX Font Info: Redeclaring math symbol \twoheadleftarrow on input line 62. - -LaTeX Font Info: Redeclaring math symbol \leftleftarrows on input line 63. -LaTeX Font Info: Redeclaring math symbol \rightrightarrows on input line 64. - -LaTeX Font Info: Redeclaring math symbol \upuparrows on input line 65. -LaTeX Font Info: Redeclaring math symbol \downdownarrows on input line 66. -LaTeX Font Info: Redeclaring math symbol \upharpoonright on input line 67. -LaTeX Font Info: Redeclaring math symbol \downharpoonright on input line 69. - -LaTeX Font Info: Redeclaring math symbol \upharpoonleft on input line 70. -LaTeX Font Info: Redeclaring math symbol \downharpoonleft on input line 71. -LaTeX Font Info: Redeclaring math symbol \rightarrowtail on input line 72. -LaTeX Font Info: Redeclaring math symbol \leftarrowtail on input line 73. -LaTeX Font Info: Redeclaring math symbol \leftrightarrows on input line 74. -LaTeX Font Info: Redeclaring math symbol \rightleftarrows on input line 75. -LaTeX Font Info: Redeclaring math symbol \Lsh on input line 76. -LaTeX Font Info: Redeclaring math symbol \Rsh on input line 77. -LaTeX Font Info: Redeclaring math symbol \leftrightsquigarrow on input line -79. -LaTeX Font Info: Redeclaring math symbol \looparrowleft on input line 80. -LaTeX Font Info: Redeclaring math symbol \looparrowright on input line 81. -LaTeX Font Info: Redeclaring math symbol \circeq on input line 82. -LaTeX Font Info: Redeclaring math symbol \succsim on input line 83. -LaTeX Font Info: Redeclaring math symbol \gtrsim on input line 84. -LaTeX Font Info: Redeclaring math symbol \gtrapprox on input line 85. -LaTeX Font Info: Redeclaring math symbol \multimap on input line 86. -LaTeX Font Info: Redeclaring math symbol \therefore on input line 87. -LaTeX Font Info: Redeclaring math symbol \because on input line 88. -LaTeX Font Info: Redeclaring math symbol \doteqdot on input line 89. -LaTeX Font Info: Redeclaring math symbol \triangleq on input line 91. -LaTeX Font Info: Redeclaring math symbol \precsim on input line 92. -LaTeX Font Info: Redeclaring math symbol \lesssim on input line 93. -LaTeX Font Info: Redeclaring math symbol \lessapprox on input line 94. -LaTeX Font Info: Redeclaring math symbol \eqslantless on input line 95. -LaTeX Font Info: Redeclaring math symbol \eqslantgtr on input line 96. -LaTeX Font Info: Redeclaring math symbol \curlyeqprec on input line 97. -LaTeX Font Info: Redeclaring math symbol \curlyeqsucc on input line 98. -LaTeX Font Info: Redeclaring math symbol \preccurlyeq on input line 99. -LaTeX Font Info: Redeclaring math symbol \leqq on input line 100. -LaTeX Font Info: Redeclaring math symbol \leqslant on input line 101. -LaTeX Font Info: Redeclaring math symbol \lessgtr on input line 102. -LaTeX Font Info: Redeclaring math symbol \backprime on input line 103. -LaTeX Font Info: Redeclaring math symbol \risingdotseq on input line 104. -LaTeX Font Info: Redeclaring math symbol \fallingdotseq on input line 105. -LaTeX Font Info: Redeclaring math symbol \succcurlyeq on input line 106. -LaTeX Font Info: Redeclaring math symbol \geqq on input line 107. -LaTeX Font Info: Redeclaring math symbol \geqslant on input line 108. -LaTeX Font Info: Redeclaring math symbol \gtrless on input line 109. -LaTeX Font Info: Redeclaring math symbol \bigstar on input line 117. -LaTeX Font Info: Redeclaring math symbol \between on input line 118. -LaTeX Font Info: Redeclaring math symbol \blacktriangledown on input line 11 -9. -LaTeX Font Info: Redeclaring math symbol \blacktriangleright on input line 1 -20. -LaTeX Font Info: Redeclaring math symbol \blacktriangleleft on input line 12 -1. -LaTeX Font Info: Redeclaring math symbol \vartriangle on input line 122. -LaTeX Font Info: Redeclaring math symbol \blacktriangle on input line 123. -LaTeX Font Info: Redeclaring math symbol \triangledown on input line 124. -LaTeX Font Info: Redeclaring math symbol \eqcirc on input line 125. -LaTeX Font Info: Redeclaring math symbol \lesseqgtr on input line 126. -LaTeX Font Info: Redeclaring math symbol \gtreqless on input line 127. -LaTeX Font Info: Redeclaring math symbol \lesseqqgtr on input line 128. -LaTeX Font Info: Redeclaring math symbol \gtreqqless on input line 129. -LaTeX Font Info: Redeclaring math symbol \Rrightarrow on input line 130. -LaTeX Font Info: Redeclaring math symbol \Lleftarrow on input line 131. -LaTeX Font Info: Redeclaring math symbol \veebar on input line 132. -LaTeX Font Info: Redeclaring math symbol \barwedge on input line 133. -LaTeX Font Info: Redeclaring math symbol \doublebarwedge on input line 134. -LaTeX Font Info: Redeclaring math symbol \measuredangle on input line 137. -LaTeX Font Info: Redeclaring math symbol \sphericalangle on input line 138. -LaTeX Font Info: Redeclaring math symbol \varpropto on input line 139. -LaTeX Font Info: Redeclaring math symbol \smallsmile on input line 140. -LaTeX Font Info: Redeclaring math symbol \smallfrown on input line 141. -LaTeX Font Info: Redeclaring math symbol \Subset on input line 142. -LaTeX Font Info: Redeclaring math symbol \Supset on input line 143. -LaTeX Font Info: Redeclaring math symbol \Cup on input line 144. -LaTeX Font Info: Redeclaring math symbol \Cap on input line 146. -LaTeX Font Info: Redeclaring math symbol \curlywedge on input line 148. -LaTeX Font Info: Redeclaring math symbol \curlyvee on input line 149. -LaTeX Font Info: Redeclaring math symbol \leftthreetimes on input line 150. -LaTeX Font Info: Redeclaring math symbol \rightthreetimes on input line 151. - -LaTeX Font Info: Redeclaring math symbol \subseteqq on input line 152. -LaTeX Font Info: Redeclaring math symbol \supseteqq on input line 153. -LaTeX Font Info: Redeclaring math symbol \bumpeq on input line 154. -LaTeX Font Info: Redeclaring math symbol \Bumpeq on input line 155. -LaTeX Font Info: Redeclaring math symbol \lll on input line 156. -LaTeX Font Info: Redeclaring math symbol \ggg on input line 158. -LaTeX Font Info: Redeclaring math symbol \circledS on input line 160. -LaTeX Font Info: Redeclaring math symbol \pitchfork on input line 161. -LaTeX Font Info: Redeclaring math symbol \dotplus on input line 162. -LaTeX Font Info: Redeclaring math symbol \backsim on input line 163. -LaTeX Font Info: Redeclaring math symbol \backsimeq on input line 164. -LaTeX Font Info: Redeclaring math symbol \complement on input line 165. -LaTeX Font Info: Redeclaring math symbol \intercal on input line 166. -LaTeX Font Info: Redeclaring math symbol \circledcirc on input line 167. -LaTeX Font Info: Redeclaring math symbol \circledast on input line 168. -LaTeX Font Info: Redeclaring math symbol \circleddash on input line 169. -LaTeX Font Info: Redeclaring math symbol \lvertneqq on input line 171. -LaTeX Font Info: Redeclaring math symbol \gvertneqq on input line 172. -LaTeX Font Info: Redeclaring math symbol \nleq on input line 173. -LaTeX Font Info: Redeclaring math symbol \ngeq on input line 174. -LaTeX Font Info: Redeclaring math symbol \nless on input line 175. -LaTeX Font Info: Redeclaring math symbol \ngtr on input line 176. -LaTeX Font Info: Redeclaring math symbol \nprec on input line 177. -LaTeX Font Info: Redeclaring math symbol \nsucc on input line 178. -LaTeX Font Info: Redeclaring math symbol \lneqq on input line 179. -LaTeX Font Info: Redeclaring math symbol \gneqq on input line 180. -LaTeX Font Info: Redeclaring math symbol \nleqslant on input line 181. -LaTeX Font Info: Redeclaring math symbol \ngeqslant on input line 182. -LaTeX Font Info: Redeclaring math symbol \lneq on input line 183. -LaTeX Font Info: Redeclaring math symbol \gneq on input line 184. -LaTeX Font Info: Redeclaring math symbol \npreceq on input line 185. -LaTeX Font Info: Redeclaring math symbol \nsucceq on input line 186. -LaTeX Font Info: Redeclaring math symbol \precnsim on input line 187. -LaTeX Font Info: Redeclaring math symbol \succnsim on input line 188. -LaTeX Font Info: Redeclaring math symbol \lnsim on input line 189. -LaTeX Font Info: Redeclaring math symbol \gnsim on input line 190. -LaTeX Font Info: Redeclaring math symbol \nleqq on input line 191. -LaTeX Font Info: Redeclaring math symbol \ngeqq on input line 192. -LaTeX Font Info: Redeclaring math symbol \precneqq on input line 193. -LaTeX Font Info: Redeclaring math symbol \succneqq on input line 194. -LaTeX Font Info: Redeclaring math symbol \precnapprox on input line 195. -LaTeX Font Info: Redeclaring math symbol \succnapprox on input line 196. -LaTeX Font Info: Redeclaring math symbol \lnapprox on input line 197. -LaTeX Font Info: Redeclaring math symbol \gnapprox on input line 198. -LaTeX Font Info: Redeclaring math symbol \nsim on input line 199. -LaTeX Font Info: Redeclaring math symbol \ncong on input line 200. -LaTeX Font Info: Redeclaring math symbol \diagup on input line 201. -LaTeX Font Info: Redeclaring math symbol \diagdown on input line 202. -LaTeX Font Info: Redeclaring math symbol \varsubsetneq on input line 203. -LaTeX Font Info: Redeclaring math symbol \varsupsetneq on input line 204. -LaTeX Font Info: Redeclaring math symbol \nsubseteqq on input line 205. -LaTeX Font Info: Redeclaring math symbol \nsupseteqq on input line 206. -LaTeX Font Info: Redeclaring math symbol \subsetneqq on input line 207. -LaTeX Font Info: Redeclaring math symbol \supsetneqq on input line 208. -LaTeX Font Info: Redeclaring math symbol \varsubsetneqq on input line 209. -LaTeX Font Info: Redeclaring math symbol \varsupsetneqq on input line 210. -LaTeX Font Info: Redeclaring math symbol \subsetneq on input line 211. -LaTeX Font Info: Redeclaring math symbol \supsetneq on input line 212. -LaTeX Font Info: Redeclaring math symbol \nsubseteq on input line 213. -LaTeX Font Info: Redeclaring math symbol \nsupseteq on input line 214. -LaTeX Font Info: Redeclaring math symbol \nparallel on input line 215. -LaTeX Font Info: Redeclaring math symbol \nmid on input line 216. -LaTeX Font Info: Redeclaring math symbol \nshortmid on input line 217. -LaTeX Font Info: Redeclaring math symbol \nshortparallel on input line 218. -LaTeX Font Info: Redeclaring math symbol \nvdash on input line 219. -LaTeX Font Info: Redeclaring math symbol \nVdash on input line 220. -LaTeX Font Info: Redeclaring math symbol \nvDash on input line 221. -LaTeX Font Info: Redeclaring math symbol \nVDash on input line 222. -LaTeX Font Info: Redeclaring math symbol \ntrianglerighteq on input line 223 -. -LaTeX Font Info: Redeclaring math symbol \ntrianglelefteq on input line 224. - -LaTeX Font Info: Redeclaring math symbol \ntriangleleft on input line 225. -LaTeX Font Info: Redeclaring math symbol \ntriangleright on input line 226. -LaTeX Font Info: Redeclaring math symbol \nleftarrow on input line 227. -LaTeX Font Info: Redeclaring math symbol \nrightarrow on input line 228. -LaTeX Font Info: Redeclaring math symbol \nLeftarrow on input line 229. -LaTeX Font Info: Redeclaring math symbol \nRightarrow on input line 230. -LaTeX Font Info: Redeclaring math symbol \nLeftrightarrow on input line 231. - -LaTeX Font Info: Redeclaring math symbol \nleftrightarrow on input line 232. - -LaTeX Font Info: Redeclaring math symbol \divideontimes on input line 233. -LaTeX Font Info: Redeclaring math symbol \varnothing on input line 234. -LaTeX Font Info: Redeclaring math symbol \nexists on input line 235. -LaTeX Font Info: Redeclaring math symbol \Finv on input line 236. -LaTeX Font Info: Redeclaring math symbol \Game on input line 237. -LaTeX Font Info: Redeclaring math symbol \eth on input line 240. -LaTeX Font Info: Redeclaring math symbol \eqsim on input line 241. -LaTeX Font Info: Redeclaring math symbol \beth on input line 242. -LaTeX Font Info: Redeclaring math symbol \gimel on input line 243. -LaTeX Font Info: Redeclaring math symbol \daleth on input line 244. -LaTeX Font Info: Redeclaring math symbol \lessdot on input line 245. -LaTeX Font Info: Redeclaring math symbol \gtrdot on input line 246. -LaTeX Font Info: Redeclaring math symbol \ltimes on input line 247. -LaTeX Font Info: Redeclaring math symbol \rtimes on input line 248. -LaTeX Font Info: Redeclaring math symbol \shortmid on input line 249. -LaTeX Font Info: Redeclaring math symbol \shortparallel on input line 250. -LaTeX Font Info: Redeclaring math symbol \smallsetminus on input line 251. -LaTeX Font Info: Redeclaring math symbol \thicksim on input line 252. -LaTeX Font Info: Redeclaring math symbol \thickapprox on input line 253. -LaTeX Font Info: Redeclaring math symbol \approxeq on input line 254. -LaTeX Font Info: Redeclaring math symbol \succapprox on input line 255. -LaTeX Font Info: Redeclaring math symbol \precapprox on input line 256. -LaTeX Font Info: Redeclaring math symbol \curvearrowleft on input line 257. -LaTeX Font Info: Redeclaring math symbol \curvearrowright on input line 258. - -LaTeX Font Info: Redeclaring math symbol \digamma on input line 259. -LaTeX Font Info: Redeclaring math symbol \varkappa on input line 260. - - -! LaTeX Error: Command `\Bbbk' already defined. - -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.261 ...ol{\Bbbk} {\mathord}{AMSb}{"7C} - -Your command was ignored. -Type I to replace it with another command, -or to continue without it. - -LaTeX Font Info: Redeclaring math symbol \hslash on input line 262. -LaTeX Font Info: Redeclaring math symbol \backepsilon on input line 265. -) ("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" +\symAMSa=\mathgroup4 +\symAMSb=\mathgroup5 +LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. +LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' +(Font) U/euf/m/n --> U/euf/b/n on input line 106. +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" Package: subfiles 2020/02/14 v1.6 Multi-file projects (package) ) ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.sty" @@ -1521,12 +139,12 @@ Language: english 2017/06/06 v3.3r English support from the babel system ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.def" File: babel.def 2020/02/28 3.41 Babel common definitions -\babel@savecnt=\count357 -\U@D=\dimen307 +\babel@savecnt=\count191 +\U@D=\dimen144 ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\txtbabel.def") -\bbl@readstream=\read5 -\bbl@dirlevel=\count358 +\bbl@readstream=\read3 +\bbl@dirlevel=\count192 ) Package babel Info: \l@canadian = using hyphenrules for english (babel) (\language0) on input line 102. @@ -1535,24 +153,51 @@ Package babel Info: \l@australian = using hyphenrules for ukenglish Package babel Info: \l@newzealand = using hyphenrules for ukenglish (babel) (\language72) on input line 108. )) +("C:\Program Files\MiKTeX 2.9\tex/latex/xcolor\xcolor.sty" +Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) -! LaTeX Error: Option clash for package xcolor. +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\color.cfg" +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: pdftex.def on input line 225. -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.8 \usepackage - {graphicx} -The package xcolor has already been loaded with options: - [] -There has now been an attempt to load it with options - [dvipsnames] -Adding the global options: - ,dvipsnames -to your \documentclass declaration may fix this. -Try typing to proceed. +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-def\pdftex.def" +File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex +) +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. +Package xcolor Info: Model `RGB' extended on input line 1364. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\dvipsnam.def" +File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphicx.sty" +Package: graphicx 2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\keyval.sty" +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks24 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphics.sty" +Package: graphics 2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR) + +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\trig.sty" +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\graphics.cfg" +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: pdftex.def on input line 105. +) +\Gin@req@height=\dimen145 +\Gin@req@width=\dimen146 +) ("C:\Program Files\MiKTeX 2.9\tex/latex/sectsty\sectsty.sty" Package: sectsty 2002/02/25 v2.0.2 Commands to change all sectional heading sty les @@ -1567,33 +212,36 @@ LaTeX Warning: Command \underline has changed. ) ("C:\Program Files\MiKTeX 2.9\tex/latex/framed\framed.sty" Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks -\OuterFrameSep=\skip77 -\fb@frw=\dimen308 -\fb@frh=\dimen309 -\FrameRule=\dimen310 -\FrameSep=\dimen311 +\OuterFrameSep=\skip52 +\fb@frw=\dimen147 +\fb@frh=\dimen148 +\FrameRule=\dimen149 +\FrameSep=\dimen150 +) +("C:\Program Files\MiKTeX 2.9\tex/latex/titlesec\titlesec.sty" +Package: titlesec 2019/10/16 v2.13 Sectioning titles +\ttl@box=\box47 +\beforetitleunit=\skip53 +\aftertitleunit=\skip54 +\ttl@plus=\dimen151 +\ttl@minus=\dimen152 +\ttl@toksa=\toks25 +\titlewidth=\dimen153 +\titlewidthlast=\dimen154 +\titlewidthfirst=\dimen155 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" Package: fontenc 2020/02/11 v2.0o Standard LaTeX package ))) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk/UTF8\UTF8.bdg" -File: UTF8.bdg 2015/04/18 4.8.4 +("C:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" +File: l3backend-pdfmode.def 2020-03-12 L3 backend support: PDF mode +\l__kernel_color_stack_int=\count193 +\l__pdf_internal_box=\box48 ) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk/UTF8\UTF8.enc" -File: UTF8.enc 2015/04/18 4.8.4 -) -("C:\Program Files\MiKTeX 2.9\tex/latex/cjk/UTF8\UTF8.chr" -File: UTF8.chr 2015/04/18 4.8.4 -) (lecture5.aux) +(lecture5.aux) \openout1 = `lecture5.aux'. -LaTeX Font Info: Checking defaults for OML/ntxmi/m/it on input line 2. -LaTeX Font Info: Trying to load font information for OML+ntxmi on input line - 2. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\omlntxmi.fd" -File: omlntxmi.fd 2015/08/25 Fontinst v1.933 font definitions for OML/ntxmi. -) +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. @@ -1605,122 +253,52 @@ LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for U/ntxexa/m/n on input line 2. -LaTeX Font Info: Trying to load font information for U+ntxexa on input line -2. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\untxexa.fd" -File: untxexa.fd 2012/04/16 Fontinst v1.933 font definitions for U/ntxexa. -) +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C00/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C05/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C09/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C10/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C20/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C19/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C40/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C42/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C43/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C50/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C52/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C49/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C60/mj/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C61/mj/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C63/mj/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C64/mj/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C65/mj/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C70/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C31/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C32/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C33/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C34/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C35/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C36/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C37/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C80/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C81/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C01/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C11/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C21/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C41/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for C62/song/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for LMS/ntxsy/m/n on input line 2. -LaTeX Font Info: Trying to load font information for LMS+ntxsy on input line - 2. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\lmsntxsy.fd" -File: lmsntxsy.fd 2016/07/02 Fontinst v1.933 font definitions for LMS/ntxsy. -) -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for LMX/ntxexx/m/n on input line 2. -LaTeX Font Info: Trying to load font information for LMX+ntxexx on input lin -e 2. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\lmxntxexx.fd" -File: lmxntxexx.fd 2016/07/03 Fontinst v1.933 font definitions for LMX/ntxexx. -) -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. -LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 2. -LaTeX Font Info: ... okay on input line 2. - -ABD: EverySelectfont initializing macros -LaTeX Info: Redefining \selectfont on input line 2. -\c@mv@tabular=\count359 -\c@mv@boldtabular=\count360 - -("C:\Program Files\MiKTeX 2.9\tex/context/base/mkii\supp-pdf.mkii" + ("C:\Program Files\MiKTeX 2.9\tex/context/base/mkii\supp-pdf.mkii" [Loading MPS to PDF converter (version 2006.09.02).] -\scratchcounter=\count361 -\scratchdimen=\dimen312 -\scratchbox=\box70 -\nofMPsegments=\count362 -\nofMParguments=\count363 -\everyMPshowfont=\toks66 -\MPscratchCnt=\count364 -\MPscratchDim=\dimen313 -\MPnumerator=\count365 -\makeMPintoPDFobject=\count366 -\everyMPtoPDFconversion=\toks67 +\scratchcounter=\count194 +\scratchdimen=\dimen156 +\scratchbox=\box49 +\nofMPsegments=\count195 +\nofMParguments=\count196 +\everyMPshowfont=\toks26 +\MPscratchCnt=\count197 +\MPscratchDim=\dimen157 +\MPnumerator=\count198 +\makeMPintoPDFobject=\count199 +\everyMPtoPDFconversion=\toks27 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/epstopdf-pkg\epstopdf-base.sty" Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf +("C:\Program Files\MiKTeX 2.9\tex/generic/infwarerr\infwarerr.sty" +Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) +) ("C:\Program Files\MiKTeX 2.9\tex/latex/grfext\grfext.sty" Package: grfext 2019/12/03 v1.3 Manage graphics extensions (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/kvdefinekeys\kvdefinekeys.sty" +Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/kvoptions\kvoptions.sty" +Package: kvoptions 2019/11/29 v3.13 Key value format for package options (HO) + +("C:\Program Files\MiKTeX 2.9\tex/generic/ltxcmds\ltxcmds.sty" +Package: ltxcmds 2019/12/15 v1.24 LaTeX kernel commands for general use (HO) +) +("C:\Program Files\MiKTeX 2.9\tex/generic/kvsetkeys\kvsetkeys.sty" +Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO) +)) +("C:\Program Files\MiKTeX 2.9\tex/latex/pdftexcmds\pdftexcmds.sty" +Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO +) + +("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\iftex.sty" +Package: iftex 2020/03/06 v1.0d TeX engine tests +) +Package pdftexcmds Info: \pdf@primitive is available. +Package pdftexcmds Info: \pdf@ifprimitive is available. +Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 85. @@ -1729,109 +307,9 @@ Package grfext Info: Graphics extension search list: G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 504. ) -\AtBeginShipoutBox=\box71 -Package hyperref Info: Link coloring ON on input line 2. - -("C:\Program Files\MiKTeX 2.9\tex/latex/hyperref\nameref.sty" -Package: nameref 2019/09/16 v2.46 Cross-referencing by name of section - -("C:\Program Files\MiKTeX 2.9\tex/latex/refcount\refcount.sty" -Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) -) -("C:\Program Files\MiKTeX 2.9\tex/generic/gettitlestring\gettitlestring.sty" -Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) -) -\c@section@level=\count367 -) -LaTeX Info: Redefining \ref on input line 2. -LaTeX Info: Redefining \pageref on input line 2. -LaTeX Info: Redefining \nameref on input line 2. -\@outlinefile=\write4 -\openout4 = `lecture5.out'. - -Package caption Info: Begin \AtBeginDocument code. -Package caption Info: listings package is loaded. -Package caption Info: End \AtBeginDocument code. - -*geometry* driver: auto-detecting -*geometry* detected driver: pdftex -*geometry* verbose mode - [ preamble ] result: -* driver: pdftex -* paper: custom -* layout: -* layoutoffset:(h,v)=(0.0pt,0.0pt) -* modes: includefoot -* h-part:(L,W,R)=(22.76219pt, 388.09561pt, 22.76219pt) -* v-part:(T,H,B)=(22.76219pt, 532.6356pt, 22.76219pt) -* \paperwidth=433.62pt -* \paperheight=578.15999pt -* \textwidth=388.09561pt -* \textheight=502.6356pt -* \oddsidemargin=-49.5078pt -* \evensidemargin=-49.5078pt -* \topmargin=-86.5078pt -* \headheight=12.0pt -* \headsep=25.0pt -* \topskip=12.0pt -* \footskip=30.0pt -* \marginparwidth=35.0pt -* \marginparsep=10.0pt -* \columnsep=10.0pt -* \skip\footins=10.8pt plus 4.0pt minus 2.0pt -* \hoffset=0.0pt -* \voffset=0.0pt -* \mag=1000 -* \@twocolumnfalse -* \@twosidefalse -* \@mparswitchfalse -* \@reversemarginfalse -* (1in=72.27pt=25.4mm, 1cm=28.453pt) - -ABD: EveryShipout initializing macros -\c@lstlisting=\count368 -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 17.28pt on input line 6. -LaTeX Font Info: Font shape `T1/ntxtlf/b/n' will be -(Font) scaled to size 17.28pt on input line 6. -LaTeX Font Info: Trying to load font information for OT1+ntxtlf on input lin -e 11. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\ot1ntxtlf.fd" -File: ot1ntxtlf.fd 2015/01/17 v1.0 font definition file for OT1/ntx/tlf -) -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 12.0pt on input line 11. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 8.8pt on input line 11. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 6.6pt on input line 11. -LaTeX Font Info: Trying to load font information for U+ntxmia on input line -11. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\untxmia.fd" -File: untxmia.fd 2018/04/14 Fontinst v1.933 font definitions for U/ntxmia. -) -LaTeX Font Info: Trying to load font information for U+ntxsym on input line -11. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\untxsym.fd" -File: untxsym.fd 2015/03/20 Fontinst v1.933 font definitions for U/ntxsym. -) -LaTeX Font Info: Trying to load font information for U+ntxsyc on input line -11. - -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\untxsyc.fd" -File: untxsyc.fd 2012/04/12 Fontinst v1.933 font definitions for U/ntxsyc. -) -LaTeX Font Info: Trying to load font information for U+esint on input line 1 -1. - -("C:\Program Files\MiKTeX 2.9\tex/latex/esint\uesint.fd" -File: uesint.fd -) +Chapter 1. LaTeX Font Info: Trying to load font information for U+msa on input line 11. - ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) @@ -1841,396 +319,238 @@ LaTeX Font Info: Trying to load font information for U+msb on input line 11. ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +<../img/lez5-img1.JPG, id=1, 134.75343pt x 130.23656pt> +File: ../img/lez5-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img1.JPG used on input line 15. +(pdftex.def) Requested size: 155.99762pt x 150.77046pt. + +Underfull \hbox (badness 10000) in paragraph at lines 8--20 [] -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +Underfull \hbox (badness 10000) in paragraph at lines 22--26 [] -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +Underfull \hbox (badness 10000) in paragraph at lines 41--44 [] -LaTeX Font Info: Font shape `T1/ntxtlf/m/it' will be -(Font) scaled to size 12.0pt on input line 16. -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 8.8pt on input line 16. -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 6.6pt on input line 16. +[1 -Underfull \hbox (badness 10000) in paragraph at lines 17--21 + +{C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map} <../img/ +lez5-img1.JPG>] +<../img/lez5-img2.JPG, id=17, 414.79968pt x 177.66376pt> +File: ../img/lez5-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img2.JPG used on input line 67. +(pdftex.def) Requested size: 312.00119pt x 133.63785pt. + [2 <../img/lez5-img2.JPG>] +<../img/lez5-img3.JPG, id=21, 173.14688pt x 62.48344pt> +File: ../img/lez5-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img3.JPG used on input line 83. +(pdftex.def) Requested size: 155.99762pt x 56.29654pt. + +Underfull \hbox (badness 10000) in paragraph at lines 79--89 + + [] + +<../img/lez5-img4.JPG, id=22, 140.77594pt x 118.94438pt> +File: ../img/lez5-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img4.JPG used on input line 94. +(pdftex.def) Requested size: 195.0pt x 164.76955pt. + +Underfull \hbox (badness 10000) in paragraph at lines 91--99 [] -Underfull \hbox (badness 10000) in paragraph at lines 36--39 - - [] - -("C:\Program Files\MiKTeX 2.9\tex/generic/ctex\zhwindowsfonts.tex" -File: zhwindowsfonts.tex 2019/05/29 v2.4.16 Windows font map loader for pdfTeX -and DVIPDFMx (CTEX) -) [1 - -] -LaTeX Font Info: Trying to load font information for C70+rm on input line 65 -. - -("C:\Program Files\MiKTeX 2.9\tex/latex/ctex/fd\c70rm.fd" -File: c70rm.fd 2019/05/29 v2.4.16 Chinese font definition (CTEX) -) -Package CJKpunct Info: use punctuation spaces for family 'rm' with punctstyle ( -kaiming) on input line 65. - -Underfull \hbox (badness 10000) in paragraph at lines 55--67 +Underfull \hbox (badness 10000) in paragraph at lines 100--104 [] -Underfull \hbox (badness 10000) in paragraph at lines 55--67 +Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] -Underfull \hbox (badness 10000) in paragraph at lines 69--71 - - [] - -LaTeX Font Info: Trying to load font information for TS1+ntxtlf on input lin -e 73. -("C:\Program Files\MiKTeX 2.9\tex/latex/newtx\ts1ntxtlf.fd" -File: ts1ntxtlf.fd 2015/01/18 v1.0 fd file for TS1/ntxtlf -) -LaTeX Font Info: Font shape `TS1/ntxtlf/m/it' will be -(Font) scaled to size 12.0pt on input line 73. - -Underfull \hbox (badness 10000) in paragraph at lines 73--77 - - [] - -[2] -Underfull \hbox (badness 10000) in paragraph at lines 78--82 +Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] -! Package xcolor Error: Undefined color `BrickRed'. +Underfull \hbox (badness 10000) in paragraph at lines 106--113 -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.83 ...\nl'^+}{\nl'} \cdot \red{\frac{\nl'}{\nl}} - + \frac{\nl"^+}{\nl"} \cd... + [] -Try typing to proceed. -If that doesn't work, type X to quit. +[3 <../img/lez5-img3.JPG> <../img/lez5-img4.JPG>] +<../img/lez5-img5.JPG, id=31, 157.33781pt x 119.69719pt> +File: ../img/lez5-img5.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img5.JPG used on input line 116. +(pdftex.def) Requested size: 155.99762pt x 118.68321pt. - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.83 ...\nl"^+}{\nl"} \cdot \red{\frac{\nl"}{\nl}} - ) \cdot \nl -Try typing to proceed. -If that doesn't work, type X to quit. - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.85 where $\red{\frac{\nl'}{\nl}} - = \alpha$ and $\red{\frac{\nl"}{\nl}} = 1... - -Try typing to proceed. -If that doesn't work, type X to quit. - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.85 ...nl}} = \alpha$ and $\red{\frac{\nl"}{\nl}} - = 1-\alpha$ \qquad so \qu... - -Try typing to proceed. -If that doesn't work, type X to quit. - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.85 ...a$ \qquad so \quad $\red{\frac{\nl'}{\nl}} - + \red{\frac{\nl"}{\nl}} ... - -Try typing to proceed. -If that doesn't work, type X to quit. - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.85 ...\frac{\nl'}{\nl}} + \red{\frac{\nl"}{\nl}} - = 1$ \qquad $\longrightar... - -Try typing to proceed. -If that doesn't work, type X to quit. - - -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.94 ...on and now I can apply Jensen's inquality} - -Try typing to proceed. -If that doesn't work, type X to quit. - - -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -! Package xcolor Error: Undefined color `BrickRed'. +Underfull \hbox (badness 10000) in paragraph at lines 131--158 -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.114 ...\ell'$ and $\ell"$ to the training error} - -Try typing to proceed. -If that doesn't work, type X to quit. + [] -LaTeX Font Info: Font shape `T1/ntxtlf/b/n' will be -(Font) scaled to size 12.0pt on input line 120. +[4 <../img/lez5-img5.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 161--163 -Underfull \hbox (badness 10000) in paragraph at lines 104--132 + [] + +<../img/lez5-img6.JPG, id=36, 481.04718pt x 231.11343pt> +File: ../img/lez5-img6.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img6.JPG used on input line 171. +(pdftex.def) Requested size: 312.00119pt x 149.90103pt. + +Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--132 +Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--132 +Underfull \hbox (badness 10000) in paragraph at lines 185--187 + + [] + +<../img/lez5-img7.JPG, id=37, 487.06969pt x 201.00093pt> +File: ../img/lez5-img7.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img7.JPG used on input line 192. +(pdftex.def) Requested size: 234.00238pt x 96.56522pt. +<../img/lez5-img8.JPG, id=38, 182.18062pt x 127.97812pt> +File: ../img/lez5-img8.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img8.JPG used on input line 198. +(pdftex.def) Requested size: 155.99762pt x 109.58841pt. + +LaTeX Warning: `h' float specifier changed to `ht'. + + +LaTeX Warning: `h' float specifier changed to `ht'. + +[5 <../img/lez5-img6.JPG>] +<../img/lez5-img9.JPG, id=43, 207.02344pt x 127.22531pt> +File: ../img/lez5-img9.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img9.JPG used on input line 218. +(pdftex.def) Requested size: 155.99762pt x 95.86911pt. + [6 <../img/lez5-img7.JPG> <../img/lez5-img8.JPG> <../img/lez5-img9.JPG>] + +LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. + + +LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. + +<../img/lez5-img10.JPG, id=47, 296.60812pt x 194.22563pt> +File: ../img/lez5-img10.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez5-img10.JPG used on input line 240. +(pdftex.def) Requested size: 272.99881pt x 178.77272pt. + +Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--132 +Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--132 - - [] - -[3] -Underfull \hbox (badness 10000) in paragraph at lines 134--136 +Underfull \hbox (badness 10000) in paragraph at lines 255--265 [] -Underfull \hbox (badness 10000) in paragraph at lines 137--147 +Underfull \hbox (badness 10000) in paragraph at lines 255--265 + + [] + +[7 <../img/lez5-img10.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] -Underfull \hbox (badness 10000) in paragraph at lines 137--147 +Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] - -Underfull \hbox (badness 10000) in paragraph at lines 137--147 - - [] - -[4] - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.153 } - $$ -Try typing to proceed. -If that doesn't work, type X to quit. - - -Underfull \hbox (badness 10000) in paragraph at lines 153--155 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 157--162 - - [] - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.167 ...cdot (1-\alpha) \longrightarrow \red{GNI} - \\ -Try typing to proceed. -If that doesn't work, type X to quit. - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.168 ...n (1-\alpha)\longrightarrow \red{ENTROPY} - \\ -Try typing to proceed. -If that doesn't work, type X to quit. - - -Underfull \hbox (badness 10000) in paragraph at lines 172--178 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 172--178 - - [] - - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.180 ... 2$ $\longrightarrow$ \red{take majority} - -Try typing to proceed. -If that doesn't work, type X to quit. - -[5] - -! Package xcolor Error: Undefined color `BrickRed'. - -See the xcolor package documentation for explanation. -Type H for immediate help. - ... - -l.181 ...w$ \red{take average of labels in $\sll$} - -Try typing to proceed. -If that doesn't work, type X to quit. - - -Underfull \hbox (badness 10000) in paragraph at lines 183--194 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 183--194 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 204--214 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 204--214 - - [] - -[6] -Underfull \hbox (badness 10000) in paragraph at lines 216--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 216--223 - - [] - -[7] [8] -Package atveryend Info: Empty hook `BeforeClearDocument' on input line 249. -Package atveryend Info: Empty hook `AfterLastShipout' on input line 249. - (lecture5.aux) -Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 249. -Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 249. - - -Package rerunfilecheck Warning: File `lecture5.out' has changed. -(rerunfilecheck) Rerun to get outlines right -(rerunfilecheck) or use package `bookmark'. - -Package rerunfilecheck Info: Checksums for `lecture5.out': -(rerunfilecheck) Before: -(rerunfilecheck) After: BF44AAC0B0A0BC6A1E496EE27D8C5047;626. - ) +[8] [9] (lecture5.aux) ) Here is how much of TeX's memory you used: - 32338 strings out of 480934 - 559108 string characters out of 2909670 - 994124 words of memory out of 3000000 - 47409 multiletter control sequences out of 15000+200000 - 584131 words of font info for 98 fonts, out of 3000000 for 9000 + 5162 strings out of 480934 + 70097 string characters out of 2909670 + 332089 words of memory out of 3000000 + 20903 multiletter control sequences out of 15000+200000 + 545898 words of font info for 56 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 - 80i,12n,139p,877b,617s stack positions out of 5000i,500n,10000p,200000b,50000s + 42i,11n,50p,332b,238s stack positions out of 5000i,500n,10000p,200000b,50000s + + +Output written on lecture5.pdf (9 pages, 329310 bytes). +PDF statistics: + 275 PDF objects out of 1000 (max. 8388607) + 0 named destinations out of 1000 (max. 500000) + 51 words of extra memory for PDF output out of 10000 (max. 10000000) -!pdfTeX error: pdflatex (file ts1-qtmri): Font ts1-qtmri at 720 not found - ==> Fatal error occurred, no output PDF file produced! diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.pdf new file mode 100644 index 000000000..29fa47b03 Binary files /dev/null and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex(busy) b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex(busy) deleted file mode 100644 index d2b995d46..000000000 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex(busy) and /dev/null differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex.gz index e3497d045..87c7548ff 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.tex b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.tex index 2359658ae..a7d54a4fa 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.tex +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture5.tex @@ -9,9 +9,14 @@ Supposed we groped a tree up to this point and we are wandering how to grow it. \\ $S$ Training set $(x_1,y_1)...(x_m,y_m)$, $x_1 \in X$ -\\\\ --- DISEGNO -\\\\ +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez5-img1.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ $$ \sll \equiv \{(x_1,y_1) \, x_t \quad \textit{is router to } \ell \} $$ @@ -57,22 +62,39 @@ where $\psi(a) = min \{a, 1-a \} \qquad a \in [0,1] $ \\ I want to replace inner node with other leaves. \\ --- DISEGNO -- -\\\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.8\linewidth]{../img/lez5-img2.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ How is traning error going to change? (when i replace inner nodes with other leaves) \\ I’m hoping my algorithm is not going to overfit (if training error goes to 0 also -testing error goes to 0).\\ - +testing error goes to 0). +\newpage \section{Jensen’s inequality} -If $\psi$ is a concave function $\longrightarrow $ (like $log$ or $\sqrt[2]{..}$ )\\ +If $\psi$ is a concave function $\longrightarrow $ (like $log$ or $\sqrt[2]{..}$ ) +\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez5-img3.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ Also $\psi$ is a function that map $0$ to $1$, \quad $\longrightarrow$ \quad $\psi\:[0,1]\rightarrow \barra{R}$\\ $$ \psi(\alpha \cdot a + (1-\alpha) \cdot b ) \geq \alpha \cdot \psi(a) + (1-\alpha) \cdot \psi(b) \qquad \textit{Also 2° derivative is negative}$$ -\\ --- DISEGNO -- +\begin{figure}[h] + \centering + \includegraphics[width=0.5\linewidth]{../img/lez5-img4.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ $$ \hat{\ell}(h_T) = \frac{1}{m} \cdot \sum_{\ell}{} \psi (\frac{\nl^+}{\nl}) \cdot \nl $$ @@ -89,8 +111,13 @@ $ \\\\ I want to check function $min$ concave between 0 and 1.\\ $$min (0,1) = 0 \qquad \psi(a) = min(\alpha, 1- \alpha) $$ -\\ -- DISEGNO -- -\\\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez5-img5.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ \red{This is a concave function and now I can apply Jensen's inquality} \\\\ $$ @@ -139,8 +166,13 @@ the approximately since we are not every time sure. \\\\ --- MANCA PARTE --- \\ ---- IMMAGINE --- -\\\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.8\linewidth]{../img/lez5-img6.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ $ p = 0.8 \qquad q = 1 \qquad r = 1 \qquad \alpha = 60\%$ \\ Net Change in number of mistakes\\ @@ -155,9 +187,19 @@ Fraction of example miss classified $\ell -$ error $\ell' +$ error $\ell"$ \\ $$ = 0.2 - ( \frac{1}{2} \cdot 0.4 + \frac{1}{2} \cdot 0 ) = 0 $$ +\begin{figure}[h] + \centering + \includegraphics[width=0.6\linewidth]{../img/lez5-img7.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez5-img8.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ ---- DISEGNO --- -\\\\ Idea is to replace minimum function with convex combination. $$ \psi(\alpha) = min\ \{\alpha, 1-\alpha\} \qquad \psi(a) \geq \psi(\alpha) @@ -170,11 +212,15 @@ $$ )} \end{cases} $$ -All this functions has this shape (concave???)\\ --- DISEGNO -- +All this functions has this shape (concave???) +\begin{figure}[h] + \centering + \includegraphics[width=0.4\linewidth]{../img/lez5-img9.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ In practise Machine Learning algorithm use GNI or entropy to control the split -\\\\ \section{Tree Predictor} \begin{itemize} \item Multi class classification $|Y| > 2$ $\longrightarrow$ \red{take majority} @@ -189,7 +235,12 @@ Unless leaves are \textit{"pured"}, the training error will be bigger than 0. \\\\ In general, i can always write $\hat{\ell}(h_t)$ to 0 by growing enough the tree unless there are $x_1$ in the Time Series such that $(x_t, y_t)(x_t,y_t’)$ with $y_t \neq y_t’$ both occur. \\ ---- DISEGNO ---- +\begin{figure}[h] + \centering + \includegraphics[width=0.7\linewidth]{../img/lez5-img10.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ $$ if (x_1 = \alpha) \wedge (x_2 = \geq \alpha) \vee (x_1 = b) \vee (x_1 = c) \wedge (x_3= y) \qquad $$ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.aux index 48d876113..b8b9be220 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.aux @@ -6,6 +6,10 @@ \@writefile{lot}{\addvspace {10\p@ }} \@writefile{toc}{\contentsline {section}{\numberline {1.1}Bayes Optimal Predictor}{1}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.1.1}Square Loss}{2}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of domain of $K_{NN}$}}{2}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.1.2}Zero-one loss for binary classification}{3}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {1.2}Bayes Risk}{5}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Example of Bayes Risk}}{5}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Example of domain of $K_{NN}$}}{4}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces Example of domain of $K_{NN}$}}{4}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces Example of domain of $K_{NN}$}}{5}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}Bayes Risk}{6}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces Example of domain of $K_{NN}$}}{6}\protected@file@percent } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.log index b64569e43..cb7ed1fbe 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 13 APR 2020 15:27 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:22 entering extended mode **./lecture6.tex (lecture6.tex @@ -367,54 +367,65 @@ Underfull \hbox (badness 10000) in paragraph at lines 62--66 [] +<../img/lez6-img0.JPG, id=15, 73.02281pt x 59.47218pt> +File: ../img/lez6-img0.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez6-img0.JPG used on input line 85. +(pdftex.def) Requested size: 39.00238pt x 31.76602pt. -Underfull \hbox (badness 10000) in paragraph at lines 81--85 +Underfull \hbox (badness 10000) in paragraph at lines 81--92 [] -Underfull \hbox (badness 10000) in paragraph at lines 81--85 +Underfull \hbox (badness 10000) in paragraph at lines 94--100 + + [] + +[2 <../img/lez6-img0.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 105--107 [] -Underfull \hbox (badness 10000) in paragraph at lines 87--93 - - [] - -[2] -Underfull \hbox (badness 10000) in paragraph at lines 98--100 +Underfull \hbox (badness 10000) in paragraph at lines 118--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 111--115 - - [] - - -Overfull \hbox (13.10564pt too wide) detected at line 126 +Overfull \hbox (13.10564pt too wide) detected at line 133 \OML/cmm/m/it/12 X \U/msa/m/n/12 v \OML/cmm/m/it/12 D[] [][]\OMS/cmsy/m/n/12 ! [][] [] - -Underfull \hbox (badness 10000) in paragraph at lines 132--150 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 132--150 - - [] - [3] -Underfull \hbox (badness 10000) in paragraph at lines 165--169 +<../img/lez6-img1.JPG, id=26, 363.60844pt x 154.32657pt> +File: ../img/lez6-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez6-img1.JPG used on input line 144. +(pdftex.def) Requested size: 234.00238pt x 99.31967pt. +<../img/lez6-img2.JPG, id=27, 406.51875pt x 102.3825pt> +File: ../img/lez6-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez6-img2.JPG used on input line 158. +(pdftex.def) Requested size: 234.00238pt x 58.93352pt. + [4 <../img/lez6-img1.JPG> <../img/lez6-img2.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 165--167 + + [] + +<../img/lez6-img3.JPG, id=31, 299.61937pt x 127.22531pt> +File: ../img/lez6-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez6-img3.JPG used on input line 175. +(pdftex.def) Requested size: 272.99881pt x 115.93051pt. + +Underfull \hbox (badness 10000) in paragraph at lines 188--192 [] -Overfull \hbox (55.32307pt too wide) detected at line 171 +Overfull \hbox (55.32307pt too wide) detected at line 194 \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 argmin \OT1/cmr/m/n/12 ( \OML/cmm/m/it/12 I\ OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 I\OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = \OMS @@ -423,87 +434,56 @@ OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] [] -Underfull \hbox (badness 10000) in paragraph at lines 176--177 +Underfull \hbox (badness 10000) in paragraph at lines 199--200 [] -Underfull \hbox (badness 10000) in paragraph at lines 179--185 +Underfull \hbox (badness 10000) in paragraph at lines 202--208 [] -[4] -Underfull \hbox (badness 10000) in paragraph at lines 206--210 +[5 <../img/lez6-img3.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 229--233 [] - -LaTeX Warning: File `bayesrisk.jpg' not found on input line 223. - - -! Package pdftex.def Error: File `bayesrisk.jpg' not found: using draft setting -. - -See the pdftex.def package documentation for explanation. -Type H for immediate help. - ... - -l.223 ...phics[width=0.7\textwidth]{bayesrisk.jpg} - -Try typing to proceed. -If that doesn't work, type X to quit. - -LaTeX Font Info: Trying to load font information for T1+cmtt on input line 2 -23. -("C:\Program Files\MiKTeX 2.9\tex/latex/base\t1cmtt.fd" -File: t1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions -) - -! LaTeX Error: There's no line here to end. - -See the LaTeX manual or LaTeX Companion for explanation. -Type H for immediate help. - ... - -l.229 C - onditional risk will be high aroun the half so min between the two is... - -Your command was ignored. -Type I to replace it with another command, -or to continue without it. - -[5] [6] (lecture6.aux) ) +<../img/lez6-img4.JPG, id=38, 377.91188pt x 182.93344pt> +File: ../img/lez6-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: ../img/lez6-img4.JPG used on input line 246. +(pdftex.def) Requested size: 272.99881pt x 132.1502pt. +[6 <../img/lez6-img4.JPG>] [7] (lecture6.aux) ) Here is how much of TeX's memory you used: - 5153 strings out of 480934 - 69770 string characters out of 2909670 - 334037 words of memory out of 3000000 - 20886 multiletter control sequences out of 15000+200000 - 547608 words of font info for 60 fonts, out of 3000000 for 9000 + 5140 strings out of 480934 + 69533 string characters out of 2909670 + 333089 words of memory out of 3000000 + 20884 multiletter control sequences out of 15000+200000 + 547295 words of font info for 59 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 - 42i,7n,50p,332b,301s stack positions out of 5000i,500n,10000p,200000b,50000s - -Output written on lecture6.pdf (6 pages, 161135 bytes). + 42i,7n,50p,332b,234s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on lecture6.pdf (7 pages, 234521 bytes). PDF statistics: - 270 PDF objects out of 1000 (max. 8388607) + 260 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) - 1 words of extra memory for PDF output out of 10000 (max. 10000000) + 26 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.pdf index c445ddaf3..d2d609789 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.synctex.gz index 3f43a8626..20b66f715 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.tex b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.tex index 5fcd1263e..e635709a3 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.tex +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture6.tex @@ -79,7 +79,14 @@ where red{$G(\hat{y})$ is equal to the part between $\left[...\right]$} $$ \frac{d G(\hat{y})}{d\hat{y}} = 2 \cdot \hat{y}- 2 \cdot \barra{E} \left[ \, y | X= x \, \right] = 0 \quad \longrightarrow \quad \red{\textit{So setting derivative to 0}} $$ -\\ --- DISEGNO OPT CURVE ---\\\\ +Suppose we have a learning domain\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.1\linewidth]{../img/lez6-img0.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ $G' (\hat{y}) = \hat{y}^2 - 2\cdot b \cdot \hat{y}$ \\ $$ @@ -130,9 +137,14 @@ $$\ $$ D_{y|x} = \{ \eta(x), 1- \eta(x) \} $$ -\\ +\newpage Suppose we have a learning domain\\ ---- DISEGNO -- +\begin{figure}[h] + \centering + \includegraphics[width=0.6\linewidth]{../img/lez6-img1.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ where $\eta$ is a function of $x$, so i can plot it\\ $\eta$ will te me $Prob (x) = $ @@ -141,10 +153,15 @@ $\eta$ tells me a lot how hard is learning problem in the domain \\ $\eta(x)$ is not necessary continous \\ ---- DISEGNO --- -\\\\ -$\eta(x) \in \{0,1\} $ \qquad $y$ is always determined by $x$ +\begin{figure}[h] + \centering + \includegraphics[width=0.6\linewidth]{../img/lez6-img2.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} \\ +$\eta(x) \in \{0,1\} $ \qquad $y$ is always determined by $x$ +\newpage How to get $f^*$ from the graph? \\ $$ @@ -153,7 +170,13 @@ $$ $$ Y = \{-1, +1 \} $$ ---- DISEGNO ---\\ +\begin{figure}[h] + \centering + \includegraphics[width=0.7\linewidth]{../img/lez6-img3.JPG} + \caption{Example of domain of $\knn$} + %\label{fig:} +\end{figure} +\\ ===============================\\ MANCA ROBAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\\ ============================== @@ -217,10 +240,11 @@ $$\ $$ \barra{E} \left[ \, \ell , f^*(x) \, \right] = \barra{E} \left[ \, min \, \{ \eta(x) , 1- \eta(x) \} \, \right] $$ +\\ \begin{figure}[h] \centering - \includegraphics[width=1\textwidth]{bayesrisk.jpg} - \caption{Example of Bayes Risk} + \includegraphics[width=0.7\linewidth]{../img/lez6-img4.JPG} + \caption{Example of domain of $\knn$} %\label{fig:} \end{figure} \\ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.log index 0084c12ce..dfbc9baf7 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 15 APR 2020 12:37 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:22 entering extended mode **./lecture7.tex (lecture7.tex @@ -513,10 +513,10 @@ Underfull \hbox (badness 10000) in paragraph at lines 295--300 [7] (lecture7.aux) ) Here is how much of TeX's memory you used: - 5142 strings out of 480934 - 69599 string characters out of 2909670 - 337073 words of memory out of 3000000 - 20884 multiletter control sequences out of 15000+200000 + 5143 strings out of 480934 + 69603 string characters out of 2909670 + 337089 words of memory out of 3000000 + 20885 multiletter control sequences out of 15000+200000 548726 words of font info for 60 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,7n,50p,332b,236s stack positions out of 5000i,500n,10000p,200000b,50000s @@ -538,7 +538,7 @@ e1/public/amsfonts/cm/cmsy10.pfb> -Output written on lecture7.pdf (7 pages, 264976 bytes). +Output written on lecture7.pdf (7 pages, 264984 bytes). PDF statistics: 279 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.pdf index 08b7684fe..f5b9c8667 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture7.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.log index e4c2110cd..ea0058a11 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 15 APR 2020 18:38 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:22 entering extended mode **./lecture8.tex (lecture8.tex @@ -435,10 +435,10 @@ Package pdftex.def Info: ../img/lez8-img5.JPG used on input line 206. (pdftex.def) Requested size: 312.00119pt x 84.1262pt. [5 <../img/lez8-img4.JPG>] [6 <../img/lez8-img5.JPG>] (lecture8.aux) ) Here is how much of TeX's memory you used: - 5133 strings out of 480934 - 69435 string characters out of 2909670 - 334073 words of memory out of 3000000 - 20878 multiletter control sequences out of 15000+200000 + 5134 strings out of 480934 + 69439 string characters out of 2909670 + 334089 words of memory out of 3000000 + 20879 multiletter control sequences out of 15000+200000 546968 words of font info for 58 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,7n,50p,332b,238s stack positions out of 5000i,500n,10000p,200000b,50000s @@ -459,7 +459,7 @@ e1/public/amsfonts/cm/cmr12.pfb> -Output written on lecture8.pdf (6 pages, 231902 bytes). +Output written on lecture8.pdf (6 pages, 231874 bytes). PDF statistics: 254 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.pdf index dc8de41e9..bb9f7958c 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture8.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.log index bc413d55e..96f3c5190 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 15 APR 2020 20:40 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:23 entering extended mode **./lecture9.tex (lecture9.tex @@ -453,10 +453,10 @@ Underfull \hbox (badness 10000) in paragraph at lines 209--226 [5 <../img/lez9-img3.JPG>] [6] (lecture9.aux) ) Here is how much of TeX's memory you used: - 5139 strings out of 480934 - 69381 string characters out of 2909670 - 335073 words of memory out of 3000000 - 20878 multiletter control sequences out of 15000+200000 + 5140 strings out of 480934 + 69385 string characters out of 2909670 + 335089 words of memory out of 3000000 + 20879 multiletter control sequences out of 15000+200000 551506 words of font info for 66 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,13n,50p,332b,236s stack positions out of 5000i,500n,10000p,200000b,50000s @@ -480,7 +480,7 @@ rogram Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmr8.pfb> -Output written on lecture9.pdf (6 pages, 237910 bytes). +Output written on lecture9.pdf (6 pages, 237915 bytes). PDF statistics: 277 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.pdf index 616149e1b..c6a339080 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/lectures/lecture9.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.aux b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.aux index 66748386c..bc91d1373 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.aux +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.aux @@ -1,103 +1,129 @@ \relax \@nameuse{bbl@beforestart} \babel@aux{english}{} -\@writefile{toc}{\contentsline {chapter}{\numberline {1}Lecture 1 - 09-03-2020}{4}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {1}Lecture 1 - 09-03-2020}{5}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction of the course}{4}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {1.2}Examples}{4}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Spam filtering}{7}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {2}Lecture 2 - 07-04-2020}{8}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction of the course}{5}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}Examples}{5}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Spam filtering}{8}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {2}Lecture 2 - 07-04-2020}{9}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {2.1}Argomento}{8}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2.2}Loss}{8}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Absolute Loss}{8}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Square Loss}{9}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}Example of information of square loss}{9}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.4}labels and losses}{10}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.5}Example TF(idf) documents encoding}{12}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {3}Lecture 3 - 07-04-2020}{14}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {2.1}Argomento}{9}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {2.2}Loss}{9}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Absolute Loss}{9}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {2.1}{\ignorespaces Example of domain of $K_{NN}$}}{10}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Square Loss}{10}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {2.2}{\ignorespaces Example of domain of $K_{NN}$}}{10}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}Example of information of square loss}{11}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.4}labels and losses}{12}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.5}Example TF(idf) documents encoding}{14}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {3}Lecture 3 - 07-04-2020}{16}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {3.1}Overfitting}{16}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.1}Noise in the data}{16}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3.2}Underfitting}{17}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3.3}Nearest neighbour}{18}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {4}Lecture 4 - 07-04-2020}{20}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {3.1}{\ignorespaces Example of domain of $K_{NN}$}}{16}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {3.1}Overfitting}{18}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.1}Noise in the data}{18}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {3.2}Underfitting}{20}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {3.3}Nearest neighbour}{20}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Example of domain of $K_{NN}$}}{21}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {3.3}{\ignorespaces Example of domain of $K_{NN}$}}{21}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {4}Lecture 4 - 07-04-2020}{23}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {4.1}Computing $h_{NN}$}{20}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {4.2}Tree Predictor}{21}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {5}Lecture 5 - 07-04-2020}{24}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {4.1}Computing $h_{NN}$}{23}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.1}{\ignorespaces Example of domain of $K_{NN}$}}{24}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {4.2}Tree Predictor}{25}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.2}{\ignorespaces Example of domain of $K_{NN}$}}{25}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.3}{\ignorespaces Example of domain of $K_{NN}$}}{26}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.4}{\ignorespaces Example of domain of $K_{NN}$}}{27}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.5}{\ignorespaces Example of domain of $K_{NN}$}}{27}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.6}{\ignorespaces Example of domain of $K_{NN}$}}{27}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {4.7}{\ignorespaces Example of domain of $K_{NN}$}}{28}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {5}Lecture 5 - 07-04-2020}{29}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {5.1}Tree Classifier}{24}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {5.2}Jensen’s inequality}{25}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {5.3}Tree Predictor}{27}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {5.4}Statistical model for Machine Learning}{28}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {6}Lecture 6 - 07-04-2020}{30}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {5.1}Tree Classifier}{29}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.1}{\ignorespaces Example of domain of $K_{NN}$}}{29}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.2}{\ignorespaces Example of domain of $K_{NN}$}}{30}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {5.2}Jensen’s inequality}{31}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.3}{\ignorespaces Example of domain of $K_{NN}$}}{31}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.4}{\ignorespaces Example of domain of $K_{NN}$}}{31}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.5}{\ignorespaces Example of domain of $K_{NN}$}}{32}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.6}{\ignorespaces Example of domain of $K_{NN}$}}{33}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.7}{\ignorespaces Example of domain of $K_{NN}$}}{34}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.8}{\ignorespaces Example of domain of $K_{NN}$}}{34}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.9}{\ignorespaces Example of domain of $K_{NN}$}}{34}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {5.3}Tree Predictor}{35}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {5.10}{\ignorespaces Example of domain of $K_{NN}$}}{35}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {5.4}Statistical model for Machine Learning}{36}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {6}Lecture 6 - 07-04-2020}{38}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {6.1}Bayes Optimal Predictor}{30}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.1}Square Loss}{31}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.2}Zero-one loss for binary classification}{32}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {6.2}Bayes Risk}{34}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {6.1}{\ignorespaces Example of Bayes Risk}}{34}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {7}Lecture 7 - 07-04-2020}{35}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {6.1}Bayes Optimal Predictor}{38}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.1}Square Loss}{39}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {6.1}{\ignorespaces Example of domain of $K_{NN}$}}{39}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.2}Zero-one loss for binary classification}{40}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {6.2}{\ignorespaces Example of domain of $K_{NN}$}}{41}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {6.3}{\ignorespaces Example of domain of $K_{NN}$}}{41}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {6.4}{\ignorespaces Example of domain of $K_{NN}$}}{42}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {6.2}Bayes Risk}{43}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {6.5}{\ignorespaces Example of domain of $K_{NN}$}}{43}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {7}Lecture 7 - 07-04-2020}{45}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {7.1}Chernoff-Hoffding bound}{35}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {7.2}Union Bound}{36}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.1}{\ignorespaces Example}}{36}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.2}{\ignorespaces Example}}{37}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.3}{\ignorespaces Example}}{37}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.4}{\ignorespaces Example}}{38}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.5}{\ignorespaces Example}}{38}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7.6}{\ignorespaces Draw of how $\hat {h}$, $h^*$ and $f^*$ are represented}}{39}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {7.3}Studying overfitting of a ERM}{40}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {8}Lecture 8 - 07-04-2020}{42}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {7.1}Chernoff-Hoffding bound}{45}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {7.2}Union Bound}{46}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.1}{\ignorespaces Example}}{46}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.2}{\ignorespaces Example}}{47}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.3}{\ignorespaces Example}}{47}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.4}{\ignorespaces Example}}{48}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.5}{\ignorespaces Example}}{48}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.6}{\ignorespaces Draw of how $\hat {h}$, $h^*$ and $f^*$ are represented}}{49}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {7.3}Studying overfitting of a ERM}{50}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {8}Lecture 8 - 07-04-2020}{52}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{lof}{\contentsline {figure}{\numberline {8.1}{\ignorespaces Representation of $\hat {h}$, $h^*$ and $f^*$ }}{42}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {8.2}{\ignorespaces Example}}{43}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {8.1}The problem of estimating risk in practise}{43}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {8.2}Cross-validation}{45}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {8.3}{\ignorespaces Splitting test and training set}}{45}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {8.4}{\ignorespaces K-folds}}{46}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {8.3}Nested cross validation}{47}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {8.5}{\ignorespaces Nested Cross Validation}}{47}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {9}Lecture 9 - 07-04-2020}{48}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {8.1}{\ignorespaces Representation of $\hat {h}$, $h^*$ and $f^*$ }}{52}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {8.2}{\ignorespaces Example}}{53}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {8.1}The problem of estimating risk in practise}{53}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {8.2}Cross-validation}{55}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {8.3}{\ignorespaces Splitting test and training set}}{55}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {8.4}{\ignorespaces K-folds}}{56}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {8.3}Nested cross validation}{57}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {8.5}{\ignorespaces Nested Cross Validation}}{57}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {9}Lecture 9 - 07-04-2020}{58}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {9.1}Tree predictors}{48}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {9.1}{\ignorespaces Tree building}}{48}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {9.2}{\ignorespaces Tree with at most N node}}{49}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {9.1.1}Catalan Number}{50}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {9.3}{\ignorespaces Algorithm for tree predictors}}{52}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {10}Lecture 10 - 07-04-2020}{54}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {9.1}Tree predictors}{58}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {9.1}{\ignorespaces Tree building}}{58}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {9.2}{\ignorespaces Tree with at most N node}}{59}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {9.1.1}Catalan Number}{60}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {9.3}{\ignorespaces Algorithm for tree predictors}}{62}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {10}Lecture 10 - 07-04-2020}{64}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {10.1}TO BE DEFINE}{54}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {10.2}MANCANO 20 MINUTI DI LEZIONE}{54}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {10.1}{\ignorespaces Point (2) - where \hskip 1em\relax $y = cx +q$ \hskip 2em\relax $y = -cx +q $}}{56}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {10.3}Compare risk for zero-one loss}{56}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {10.2}{\ignorespaces Point}}{57}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {11}Lecture 11 - 20-04-2020}{58}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {10.1}TO BE DEFINE}{64}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {10.2}MANCANO 20 MINUTI DI LEZIONE}{64}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {10.1}{\ignorespaces Point (2) - where \hskip 1em\relax $y = cx +q$ \hskip 2em\relax $y = -cx +q $}}{66}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {10.3}Compare risk for zero-one loss}{66}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {10.2}{\ignorespaces Point}}{67}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {11}Lecture 11 - 20-04-2020}{68}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {11.1}Analysis of $K_{NN}$}{58}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {11.1}{\ignorespaces Example of domain of $K_{NN}$}}{58}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {11.2}{\ignorespaces Diagonal length}}{59}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {11.3}{\ignorespaces Shape of the function}}{60}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {11.1.1}Study of $K_{NN}$}{61}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {11.1.2}study of trees}{62}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {11.2}Non-parametric Algorithms}{63}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {11.4}{\ignorespaces Parametric and non parametric growing as training set getting larger}}{64}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {11.2.1}Example of parametric algorithms}{64}\protected@file@percent } -\@writefile{toc}{\contentsline {chapter}{\numberline {12}Lecture 12 - 21-04-2020}{65}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {11.1}Analysis of $K_{NN}$}{68}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {11.1}{\ignorespaces Example of domain of $K_{NN}$}}{68}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {11.2}{\ignorespaces Diagonal length}}{69}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {11.3}{\ignorespaces Shape of the function}}{70}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {11.1.1}Study of $K_{NN}$}{71}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {11.1.2}study of trees}{72}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {11.2}Non-parametric Algorithms}{73}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {11.4}{\ignorespaces Parametric and non parametric growing as training set getting larger}}{74}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {11.2.1}Example of parametric algorithms}{74}\protected@file@percent } +\@writefile{toc}{\contentsline {chapter}{\numberline {12}Lecture 12 - 21-04-2020}{75}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} -\@writefile{toc}{\contentsline {section}{\numberline {12.1}Non parametrics algorithms}{65}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {12.1}Non parametrics algorithms}{75}\protected@file@percent } \bibstyle{abbrv} \bibdata{main} diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.lof b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.lof index 69900524e..cd462b128 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.lof +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.lof @@ -1,34 +1,60 @@ \babel@toc {english}{} \addvspace {10\p@ } \addvspace {10\p@ } +\contentsline {figure}{\numberline {2.1}{\ignorespaces Example of domain of $K_{NN}$}}{10}% +\contentsline {figure}{\numberline {2.2}{\ignorespaces Example of domain of $K_{NN}$}}{10}% \addvspace {10\p@ } +\contentsline {figure}{\numberline {3.1}{\ignorespaces Example of domain of $K_{NN}$}}{16}% +\contentsline {figure}{\numberline {3.2}{\ignorespaces Example of domain of $K_{NN}$}}{21}% +\contentsline {figure}{\numberline {3.3}{\ignorespaces Example of domain of $K_{NN}$}}{21}% \addvspace {10\p@ } +\contentsline {figure}{\numberline {4.1}{\ignorespaces Example of domain of $K_{NN}$}}{24}% +\contentsline {figure}{\numberline {4.2}{\ignorespaces Example of domain of $K_{NN}$}}{25}% +\contentsline {figure}{\numberline {4.3}{\ignorespaces Example of domain of $K_{NN}$}}{26}% +\contentsline {figure}{\numberline {4.4}{\ignorespaces Example of domain of $K_{NN}$}}{27}% +\contentsline {figure}{\numberline {4.5}{\ignorespaces Example of domain of $K_{NN}$}}{27}% +\contentsline {figure}{\numberline {4.6}{\ignorespaces Example of domain of $K_{NN}$}}{27}% +\contentsline {figure}{\numberline {4.7}{\ignorespaces Example of domain of $K_{NN}$}}{28}% \addvspace {10\p@ } +\contentsline {figure}{\numberline {5.1}{\ignorespaces Example of domain of $K_{NN}$}}{29}% +\contentsline {figure}{\numberline {5.2}{\ignorespaces Example of domain of $K_{NN}$}}{30}% +\contentsline {figure}{\numberline {5.3}{\ignorespaces Example of domain of $K_{NN}$}}{31}% +\contentsline {figure}{\numberline {5.4}{\ignorespaces Example of domain of $K_{NN}$}}{31}% +\contentsline {figure}{\numberline {5.5}{\ignorespaces Example of domain of $K_{NN}$}}{32}% +\contentsline {figure}{\numberline {5.6}{\ignorespaces Example of domain of $K_{NN}$}}{33}% +\contentsline {figure}{\numberline {5.7}{\ignorespaces Example of domain of $K_{NN}$}}{34}% +\contentsline {figure}{\numberline {5.8}{\ignorespaces Example of domain of $K_{NN}$}}{34}% +\contentsline {figure}{\numberline {5.9}{\ignorespaces Example of domain of $K_{NN}$}}{34}% +\contentsline {figure}{\numberline {5.10}{\ignorespaces Example of domain of $K_{NN}$}}{35}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {6.1}{\ignorespaces Example of Bayes Risk}}{34}% +\contentsline {figure}{\numberline {6.1}{\ignorespaces Example of domain of $K_{NN}$}}{39}% +\contentsline {figure}{\numberline {6.2}{\ignorespaces Example of domain of $K_{NN}$}}{41}% +\contentsline {figure}{\numberline {6.3}{\ignorespaces Example of domain of $K_{NN}$}}{41}% +\contentsline {figure}{\numberline {6.4}{\ignorespaces Example of domain of $K_{NN}$}}{42}% +\contentsline {figure}{\numberline {6.5}{\ignorespaces Example of domain of $K_{NN}$}}{43}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {7.1}{\ignorespaces Example}}{36}% -\contentsline {figure}{\numberline {7.2}{\ignorespaces Example}}{37}% -\contentsline {figure}{\numberline {7.3}{\ignorespaces Example}}{37}% -\contentsline {figure}{\numberline {7.4}{\ignorespaces Example}}{38}% -\contentsline {figure}{\numberline {7.5}{\ignorespaces Example}}{38}% -\contentsline {figure}{\numberline {7.6}{\ignorespaces Draw of how $\hat {h}$, $h^*$ and $f^*$ are represented}}{39}% +\contentsline {figure}{\numberline {7.1}{\ignorespaces Example}}{46}% +\contentsline {figure}{\numberline {7.2}{\ignorespaces Example}}{47}% +\contentsline {figure}{\numberline {7.3}{\ignorespaces Example}}{47}% +\contentsline {figure}{\numberline {7.4}{\ignorespaces Example}}{48}% +\contentsline {figure}{\numberline {7.5}{\ignorespaces Example}}{48}% +\contentsline {figure}{\numberline {7.6}{\ignorespaces Draw of how $\hat {h}$, $h^*$ and $f^*$ are represented}}{49}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {8.1}{\ignorespaces Representation of $\hat {h}$, $h^*$ and $f^*$ }}{42}% -\contentsline {figure}{\numberline {8.2}{\ignorespaces Example}}{43}% -\contentsline {figure}{\numberline {8.3}{\ignorespaces Splitting test and training set}}{45}% -\contentsline {figure}{\numberline {8.4}{\ignorespaces K-folds}}{46}% -\contentsline {figure}{\numberline {8.5}{\ignorespaces Nested Cross Validation}}{47}% +\contentsline {figure}{\numberline {8.1}{\ignorespaces Representation of $\hat {h}$, $h^*$ and $f^*$ }}{52}% +\contentsline {figure}{\numberline {8.2}{\ignorespaces Example}}{53}% +\contentsline {figure}{\numberline {8.3}{\ignorespaces Splitting test and training set}}{55}% +\contentsline {figure}{\numberline {8.4}{\ignorespaces K-folds}}{56}% +\contentsline {figure}{\numberline {8.5}{\ignorespaces Nested Cross Validation}}{57}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {9.1}{\ignorespaces Tree building}}{48}% -\contentsline {figure}{\numberline {9.2}{\ignorespaces Tree with at most N node}}{49}% -\contentsline {figure}{\numberline {9.3}{\ignorespaces Algorithm for tree predictors}}{52}% +\contentsline {figure}{\numberline {9.1}{\ignorespaces Tree building}}{58}% +\contentsline {figure}{\numberline {9.2}{\ignorespaces Tree with at most N node}}{59}% +\contentsline {figure}{\numberline {9.3}{\ignorespaces Algorithm for tree predictors}}{62}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {10.1}{\ignorespaces Point (2) - where \hskip 1em\relax $y = cx +q$ \hskip 2em\relax $y = -cx +q $}}{56}% -\contentsline {figure}{\numberline {10.2}{\ignorespaces Point}}{57}% +\contentsline {figure}{\numberline {10.1}{\ignorespaces Point (2) - where \hskip 1em\relax $y = cx +q$ \hskip 2em\relax $y = -cx +q $}}{66}% +\contentsline {figure}{\numberline {10.2}{\ignorespaces Point}}{67}% \addvspace {10\p@ } -\contentsline {figure}{\numberline {11.1}{\ignorespaces Example of domain of $K_{NN}$}}{58}% -\contentsline {figure}{\numberline {11.2}{\ignorespaces Diagonal length}}{59}% -\contentsline {figure}{\numberline {11.3}{\ignorespaces Shape of the function}}{60}% -\contentsline {figure}{\numberline {11.4}{\ignorespaces Parametric and non parametric growing as training set getting larger}}{64}% +\contentsline {figure}{\numberline {11.1}{\ignorespaces Example of domain of $K_{NN}$}}{68}% +\contentsline {figure}{\numberline {11.2}{\ignorespaces Diagonal length}}{69}% +\contentsline {figure}{\numberline {11.3}{\ignorespaces Shape of the function}}{70}% +\contentsline {figure}{\numberline {11.4}{\ignorespaces Parametric and non parametric growing as training set getting larger}}{74}% \addvspace {10\p@ } diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.log b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.log index e76260a50..f1c0dc7cf 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.log +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 11:36 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 20 APR 2020 15:23 entering extended mode **./main.tex (main.tex @@ -326,13 +326,13 @@ File: umsb.fd 2013/01/14 v3.01 AMS symbols B \openout3 = `main.toc'. [2] -(main.lof) +(main.lof [3 + +]) \tf@lof=\write4 \openout4 = `main.lof'. - [3 - -] (lectures/lecture1.tex + [4] (lectures/lecture1.tex Chapter 1. Underfull \hbox (badness 10000) in paragraph at lines 8--14 @@ -389,7 +389,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] -[4 +[5 ] Underfull \hbox (badness 10000) in paragraph at lines 61--89 @@ -411,42 +411,42 @@ Underfull \hbox (badness 10000) in paragraph at lines 61--89 [] -[5] -Underfull \hbox (badness 10000) in paragraph at lines 93--104 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 93--104 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 93--104 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 107--123 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 107--123 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 107--123 - - [] - [6] +Underfull \hbox (badness 10000) in paragraph at lines 93--104 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 93--104 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 93--104 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 107--123 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 107--123 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 107--123 + + [] + +[7] Underfull \hbox (badness 10000) in paragraph at lines 132--135 [] -) [7] (lectures/lecture2.tex +) [8] (lectures/lecture2.tex Chapter 2. Underfull \hbox (badness 10000) in paragraph at lines 7--16 @@ -463,99 +463,118 @@ Underfull \hbox (badness 10000) in paragraph at lines 17--30 [] + +File: lectures/../img/lez2-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez2-img1.JPG used on input line 36. +(pdftex.def) Requested size: 155.99762pt x 122.92067pt. -Underfull \hbox (badness 10000) in paragraph at lines 32--35 +Underfull \hbox (badness 10000) in paragraph at lines 32--42 [] -[8 + +LaTeX Warning: `h' float specifier changed to `ht'. + +[9 ] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 + +File: lectures/../img/lez2-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez2-img2.JPG used on input line 53. +(pdftex.def) Requested size: 155.99762pt x 76.64468pt. + +Underfull \hbox (badness 10000) in paragraph at lines 49--58 [] -Underfull \hbox (badness 10000) in paragraph at lines 49--52 +Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] -Underfull \hbox (badness 10000) in paragraph at lines 63--81 +Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] -[9] -Underfull \hbox (badness 10000) in paragraph at lines 81--86 +[10 <./lectures/../img/lez2-img1.JPG> <./lectures/../img/lez2-img2.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 76--94 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 94--99 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 89--109 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 110--115 - - [] - -[10] -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 118--156 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 118--156 +Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] [11] -Underfull \hbox (badness 10000) in paragraph at lines 164--171 +Underfull \hbox (badness 10000) in paragraph at lines 123--128 [] -Underfull \hbox (badness 10000) in paragraph at lines 172--182 +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -[12] -Underfull \hbox (badness 10000) in paragraph at lines 189--199 + +Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] -) [13] (lectures/lecture3.tex + +Underfull \hbox (badness 10000) in paragraph at lines 131--169 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 131--169 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 131--169 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 131--169 + + [] + +[12] [13] +Underfull \hbox (badness 10000) in paragraph at lines 177--184 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 185--195 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 202--212 + + [] + +[14]) [15] (lectures/lecture3.tex Chapter 3. Underfull \hbox (badness 10000) in paragraph at lines 5--7 @@ -572,175 +591,198 @@ t/12 ::: \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 X[] \OMS/cmsy/m/n/12  \OML/cmm/m/ it/12 x [] + +File: lectures/../img/lez3-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez3-img1.JPG used on input line 25. +(pdftex.def) Requested size: 312.00119pt x 75.36586pt. -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 9--28 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 28--35 - - [] - -[14 - -] -Underfull \hbox (badness 10000) in paragraph at lines 48--54 +Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] -Underfull \hbox (badness 10000) in paragraph at lines 54--65 +Underfull \hbox (badness 10000) in paragraph at lines 34--41 + + [] + +[16 + + <./lectures/../img/lez3-img1.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 54--60 [] -Underfull \hbox (badness 10000) in paragraph at lines 65--75 +Underfull \hbox (badness 10000) in paragraph at lines 60--71 [] -Underfull \hbox (badness 10000) in paragraph at lines 65--75 +Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] -Underfull \hbox (badness 10000) in paragraph at lines 78--86 +Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] -[15] -Underfull \hbox (badness 10000) in paragraph at lines 89--96 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 104--108 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 104--108 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 104--108 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 110--138 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 110--138 - - [] - - -Overfull \hbox (25.43301pt too wide) in paragraph at lines 110--138 -[] - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 110--138 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 110--138 - - [] - -[16] -Underfull \hbox (badness 10000) in paragraph at lines 144--160 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 164--168 - - [] - - -Overfull \hbox (36.23656pt too wide) detected at line 170 -\OML/cmm/m/it/12 A \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 ERM[] \OMS/cmsy/m/n/12 ! - [] - [] - [17] -Underfull \hbox (badness 10000) in paragraph at lines 177--179 +Underfull \hbox (badness 10000) in paragraph at lines 84--92 [] -Underfull \hbox (badness 10000) in paragraph at lines 184--186 +Underfull \hbox (badness 10000) in paragraph at lines 95--102 [] -Underfull \hbox (badness 10000) in paragraph at lines 187--223 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] -Underfull \hbox (badness 10000) in paragraph at lines 187--223 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 187--223 +Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] [18] -Underfull \hbox (badness 10000) in paragraph at lines 225--226 +Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] -) [19] (lectures/lecture4.tex + +Underfull \hbox (badness 10000) in paragraph at lines 116--144 + + [] + + +Overfull \hbox (25.43301pt too wide) in paragraph at lines 116--144 +[] + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 116--144 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 116--144 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 150--166 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 170--174 + + [] + +[19] +Overfull \hbox (36.23656pt too wide) detected at line 176 +\OML/cmm/m/it/12 A \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 ERM[] \OMS/cmsy/m/n/12 ! + [] + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 183--185 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 190--192 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 193--204 + + [] + +[20] + +File: lectures/../img/lez3-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez3-img2.JPG used on input line 210. + +(pdftex.def) Requested size: 155.99762pt x 151.66916pt. + +File: lectures/../img/lez3-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez3-img3.JPG used on input line 221. + +(pdftex.def) Requested size: 155.99762pt x 132.89998pt. + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 205--238 + + [] + +[21 <./lectures/../img/lez3-img2.JPG> <./lectures/../img/lez3-img3.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 240--241 + + [] + +) [22] (lectures/lecture4.tex Chapter 4. Underfull \hbox (badness 10000) in paragraph at lines 10--14 @@ -757,279 +799,327 @@ Underfull \hbox (badness 10000) in paragraph at lines 21--39 [] + +File: lectures/../img/lez4-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img1.JPG used on input line 54. +(pdftex.def) Requested size: 155.99762pt x 125.95839pt. -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -Underfull \hbox (badness 10000) in paragraph at lines 42--66 +Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] -[20 +[23 ] -Underfull \hbox (badness 10000) in paragraph at lines 68--70 +Underfull \hbox (badness 10000) in paragraph at lines 72--74 + + [] + + +File: lectures/../img/lez4-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img2.JPG used on input line 92. +(pdftex.def) Requested size: 195.0pt x 111.225pt. + +Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] -Underfull \hbox (badness 10000) in paragraph at lines 73--88 +Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] -[21] -Underfull \hbox (badness 10000) in paragraph at lines 93--99 +[24 <./lectures/../img/lez4-img1.JPG>] + +File: lectures/../img/lez4-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img3.JPG used on input line 110. + +(pdftex.def) Requested size: 117.00119pt x 54.5544pt. + +Underfull \hbox (badness 10000) in paragraph at lines 103--114 [] -Overfull \hbox (30.95695pt too wide) detected at line 115 +LaTeX Warning: `h' float specifier changed to `ht'. + +[25 <./lectures/../img/lez4-img2.JPG>] +Overfull \hbox (30.95695pt too wide) detected at line 129 \OML/cmm/m/it/12 X \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 Sunny; \OT1/cmr/m/n/12 50%\OML/cmm/m/it/12 ; No\OMS/cmsy/m/n/12 g ! []f\OML/cmm/m/it /12 outlook:humidity; windy\OMS/cmsy/m/n/12 g [] + +File: lectures/../img/lez4-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img4.JPG used on input line 166. -LaTeX Warning: Command \textquoteright invalid in math mode on input line 163. +(pdftex.def) Requested size: 77.99881pt x 46.64948pt. + +File: lectures/../img/lez4-img5.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img5.JPG used on input line 174. +(pdftex.def) Requested size: 77.99881pt x 56.59116pt. + +File: lectures/../img/lez4-img6.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img6.JPG used on input line 185. + +(pdftex.def) Requested size: 312.00119pt x 143.0224pt. + +LaTeX Warning: Command \textquoteright invalid in math mode on input line 189. + + +File: lectures/../img/lez4-img7.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez4-img7.JPG used on input line 192. + +(pdftex.def) Requested size: 272.99881pt x 382.20868pt. ) -Underfull \hbox (badness 10000) in paragraph at lines 142--99 +Underfull \hbox (badness 10000) in paragraph at lines 156--99 [] -Underfull \hbox (badness 10000) in paragraph at lines 142--99 +Underfull \hbox (badness 10000) in paragraph at lines 156--99 [] +[26 <./lectures/../img/lez4-img3.JPG>] -Underfull \hbox (badness 10000) in paragraph at lines 142--99 +LaTeX Warning: `h' float specifier changed to `ht'. - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--99 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--99 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--99 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--99 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 142--99 - - [] - -[22] [23] (lectures/lecture5.tex +[27 <./lectures/../img/lez4-img4.JPG> <./lectures/../img/lez4-img5.JPG> <./lect +ures/../img/lez4-img6.JPG>] (lectures/lecture5.tex [28 <./lectures/../img/lez4- +img7.JPG>] Chapter 5. + +File: lectures/../img/lez5-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img1.JPG used on input line 15. +(pdftex.def) Requested size: 155.99762pt x 150.77046pt. -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +Underfull \hbox (badness 10000) in paragraph at lines 8--20 [] -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +Underfull \hbox (badness 10000) in paragraph at lines 22--26 [] -Underfull \hbox (badness 10000) in paragraph at lines 8--15 +Underfull \hbox (badness 10000) in paragraph at lines 41--44 + + [] + +[29 + + <./lectures/../img/lez5-img1.JPG>] + +File: lectures/../img/lez5-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img2.JPG used on input line 67. +(pdftex.def) Requested size: 312.00119pt x 133.63785pt. + [30 <./lectures/../img/lez5-img2.JPG>] + +File: lectures/../img/lez5-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img3.JPG used on input line 83. +(pdftex.def) Requested size: 155.99762pt x 56.29654pt. + +Underfull \hbox (badness 10000) in paragraph at lines 79--89 + + [] + + +File: lectures/../img/lez5-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img4.JPG used on input line 94. +(pdftex.def) Requested size: 195.0pt x 164.76955pt. + +Underfull \hbox (badness 10000) in paragraph at lines 91--99 [] -Underfull \hbox (badness 10000) in paragraph at lines 17--21 +Underfull \hbox (badness 10000) in paragraph at lines 100--104 [] -Underfull \hbox (badness 10000) in paragraph at lines 36--39 +Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] -Underfull \hbox (badness 10000) in paragraph at lines 55--67 +Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] -Underfull \hbox (badness 10000) in paragraph at lines 55--67 +Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] -[24 +[31 <./lectures/../img/lez5-img3.JPG> <./lectures/../img/lez5-img4.JPG>] + +File: lectures/../img/lez5-img5.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img5.JPG used on input line 116. -] -Underfull \hbox (badness 10000) in paragraph at lines 69--71 +(pdftex.def) Requested size: 155.99762pt x 118.68321pt. + +Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] -Underfull \hbox (badness 10000) in paragraph at lines 73--77 +Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] -Underfull \hbox (badness 10000) in paragraph at lines 78--82 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 84--91 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 131--158 + + [] + +[32 <./lectures/../img/lez5-img5.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 161--163 + + [] + + +File: lectures/../img/lez5-img6.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img6.JPG used on input line 171. + +(pdftex.def) Requested size: 312.00119pt x 149.90103pt. + +Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] -Underfull \hbox (badness 10000) in paragraph at lines 91--96 +Underfull \hbox (badness 10000) in paragraph at lines 185--187 + + [] + + +File: lectures/../img/lez5-img7.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img7.JPG used on input line 192. + +(pdftex.def) Requested size: 234.00238pt x 96.56522pt. + +File: lectures/../img/lez5-img8.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img8.JPG used on input line 198. + +(pdftex.def) Requested size: 155.99762pt x 109.58841pt. + +LaTeX Warning: `h' float specifier changed to `ht'. + + +LaTeX Warning: `h' float specifier changed to `ht'. + +[33 <./lectures/../img/lez5-img6.JPG>] + +File: lectures/../img/lez5-img9.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img9.JPG used on input line 218. + +(pdftex.def) Requested size: 155.99762pt x 95.86911pt. + [34 <./lectures/../img/lez5-img7.JPG> <./lectures/../img/lez5-img8.JPG> <./lec +tures/../img/lez5-img9.JPG>] + +LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. + + +LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. + + +File: lectures/../img/lez5-img10.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez5-img10.JPG used on input line 240 +. +(pdftex.def) Requested size: 272.99881pt x 178.77272pt. + +Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--131 +Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--131 +Underfull \hbox (badness 10000) in paragraph at lines 255--265 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--131 +Underfull \hbox (badness 10000) in paragraph at lines 255--265 + + [] + +[35 <./lectures/../img/lez5-img10.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] -Underfull \hbox (badness 10000) in paragraph at lines 104--131 +Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] - -Underfull \hbox (badness 10000) in paragraph at lines 104--131 - - [] - -[25] -Underfull \hbox (badness 10000) in paragraph at lines 134--136 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 137--147 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 137--147 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 137--147 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 153--155 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 157--162 - - [] - -[26] -Underfull \hbox (badness 10000) in paragraph at lines 172--178 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 172--178 - - [] - - -LaTeX Warning: Command \textquoteright invalid in math mode on input line 190. - - -LaTeX Warning: Command \textquoteright invalid in math mode on input line 190. - - -Underfull \hbox (badness 10000) in paragraph at lines 183--194 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 183--194 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 204--214 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 204--214 - - [] - -[27] -Underfull \hbox (badness 10000) in paragraph at lines 216--222 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 216--222 - - [] - -) [28] [29] (lectures/lecture6.tex +) [36] [37] (lectures/lecture6.tex Chapter 6. Underfull \hbox (badness 10000) in paragraph at lines 5--17 @@ -1061,7 +1151,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 48--52 [] -[30 +[38 ] Underfull \hbox (badness 10000) in paragraph at lines 53--57 @@ -1081,54 +1171,68 @@ Underfull \hbox (badness 10000) in paragraph at lines 62--66 [] + +File: lectures/../img/lez6-img0.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez6-img0.JPG used on input line 85. +(pdftex.def) Requested size: 39.00238pt x 31.76602pt. -Underfull \hbox (badness 10000) in paragraph at lines 81--85 +Underfull \hbox (badness 10000) in paragraph at lines 81--92 [] -Underfull \hbox (badness 10000) in paragraph at lines 81--85 +Underfull \hbox (badness 10000) in paragraph at lines 94--100 + + [] + +[39 <./lectures/../img/lez6-img0.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 105--107 [] -Underfull \hbox (badness 10000) in paragraph at lines 87--93 - - [] - -[31] -Underfull \hbox (badness 10000) in paragraph at lines 98--100 +Underfull \hbox (badness 10000) in paragraph at lines 118--122 [] -Underfull \hbox (badness 10000) in paragraph at lines 111--115 - - [] - - -Overfull \hbox (13.10564pt too wide) detected at line 126 +Overfull \hbox (13.10564pt too wide) detected at line 133 \OML/cmm/m/it/12 X \U/msa/m/n/12 v \OML/cmm/m/it/12 D[] [][]\OMS/cmsy/m/n/12 ! [][] [] +[40] + +File: lectures/../img/lez6-img1.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez6-img1.JPG used on input line 144. -Underfull \hbox (badness 10000) in paragraph at lines 132--150 +(pdftex.def) Requested size: 234.00238pt x 99.31967pt. + +File: lectures/../img/lez6-img2.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez6-img2.JPG used on input line 158. + +(pdftex.def) Requested size: 234.00238pt x 58.93352pt. + [41 <./lectures/../img/lez6-img1.JPG> <./lectures/../img/lez6-img2.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 165--167 + + [] + + +File: lectures/../img/lez6-img3.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez6-img3.JPG used on input line 175. + +(pdftex.def) Requested size: 272.99881pt x 115.93051pt. + +Underfull \hbox (badness 10000) in paragraph at lines 188--192 [] -Underfull \hbox (badness 10000) in paragraph at lines 132--150 - - [] - -[32] -Underfull \hbox (badness 10000) in paragraph at lines 165--169 - - [] - - -Overfull \hbox (55.32307pt too wide) detected at line 171 +Overfull \hbox (55.32307pt too wide) detected at line 194 \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 argmin \OT1/cmr/m/n/12 ( \OML/cmm/m/it/12 I\ OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 I\OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = \OMS @@ -1137,26 +1241,27 @@ OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] [] -Underfull \hbox (badness 10000) in paragraph at lines 176--177 +Underfull \hbox (badness 10000) in paragraph at lines 199--200 [] -Underfull \hbox (badness 10000) in paragraph at lines 179--185 +Underfull \hbox (badness 10000) in paragraph at lines 202--208 [] -[33] -Underfull \hbox (badness 10000) in paragraph at lines 206--210 +[42 <./lectures/../img/lez6-img3.JPG>] +Underfull \hbox (badness 10000) in paragraph at lines 229--233 [] -<./img/bayesrisk.jpg, id=136, 496.10344pt x 237.13594pt> -File: ./img/bayesrisk.jpg Graphic file (type jpg) - -Package pdftex.def Info: ./img/bayesrisk.jpg used on input line 222. -(pdftex.def) Requested size: 390.0pt x 186.41986pt. -) [34 <./img/bayesrisk.jpg>] (lectures/lecture7.tex + +File: lectures/../img/lez6-img4.JPG Graphic file (type jpg) + +Package pdftex.def Info: lectures/../img/lez6-img4.JPG used on input line 246. + +(pdftex.def) Requested size: 272.99881pt x 132.1502pt. +) [43 <./lectures/../img/lez6-img4.JPG>] [44] (lectures/lecture7.tex Chapter 7. Underfull \hbox (badness 10000) in paragraph at lines 4--6 @@ -1189,10 +1294,10 @@ Overfull \hbox (0.51405pt too wide) detected at line 54 ] \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 e[] [] -[35 +[45 ] - + File: lectures/../img/lez7-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img1.JPG used on input line 73. @@ -1212,7 +1317,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 81--87 [] - + File: lectures/../img/lez7-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img2.JPG used on input line 98. @@ -1226,7 +1331,7 @@ Overfull \hbox (27.96684pt too wide) detected at line 111 U/msb/m/n/12 P [] \OMS/cmsy/m/n/12  [] -[36 <./lectures/../img/lez7-img1.JPG>] +[46 <./lectures/../img/lez7-img1.JPG>] Overfull \hbox (4.4292pt too wide) detected at line 118 \OMS/cmsy/m/n/12  \U/msb/m/n/12 P [] \OT1/cmr/m/n/12 + \U/msb/m/n/12 P [] \OM S/cmsy/m/n/12  \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 e[] \OM @@ -1238,7 +1343,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 122--125 [] - + File: lectures/../img/lez7-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img3.JPG used on input line 132. @@ -1249,7 +1354,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 127--145 [] -[37 <./lectures/../img/lez7-img2.JPG> <./lectures/../img/lez7-img3.JPG>] +[47 <./lectures/../img/lez7-img2.JPG> <./lectures/../img/lez7-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 147--159 [] @@ -1265,13 +1370,13 @@ Overfull \hbox (76.34352pt too wide) detected at line 161 `[] [] [][]\OMS/cmsy/m/n/12 ! [] [] - + File: lectures/../img/lez7-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img4.JPG used on input line 165. (pdftex.def) Requested size: 117.00119pt x 36.9666pt. - + File: lectures/../img/lez7-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img5.JPG used on input line 172. @@ -1305,12 +1410,12 @@ Underfull \hbox (badness 10000) in paragraph at lines 186--193 [] -[38 <./lectures/../img/lez7-img4.JPG> <./lectures/../img/lez7-img5.JPG>] +[48 <./lectures/../img/lez7-img4.JPG> <./lectures/../img/lez7-img5.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 201--203 [] - + File: lectures/../img/lez7-img6.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img6.JPG used on input line 217. @@ -1331,7 +1436,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 206--224 [] -[39 <./lectures/../img/lez7-img6.JPG>] +[49 <./lectures/../img/lez7-img6.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 251--257 [] @@ -1351,12 +1456,12 @@ Underfull \hbox (badness 10000) in paragraph at lines 271--273 [] -[40]) +[50]) Underfull \hbox (badness 10000) in paragraph at lines 295--111 [] -[41] (lectures/lecture8.tex +[51] (lectures/lecture8.tex Chapter 8. Underfull \hbox (badness 10000) in paragraph at lines 10--13 @@ -1374,7 +1479,7 @@ Overfull \hbox (74.73193pt too wide) detected at line 27 /n/12 + [] [] [] - + File: lectures/../img/lez8-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img1.JPG used on input line 32. @@ -1394,7 +1499,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 42--47 [] -[42 +[52 <./lectures/../img/lez8-img1.JPG>] Overfull \hbox (22.02261pt too wide) detected at line 51 @@ -1403,7 +1508,7 @@ T1/cmr/m/n/12 (\OML/cmm/m/it/12 h\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OML/cmm/ m/it/12 `[] [] \OMS/cmsy/m/n/12  [] [] [] - + File: lectures/../img/lez8-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img2.JPG used on input line 55. @@ -1443,24 +1548,24 @@ Underfull \hbox (badness 10000) in paragraph at lines 74--104 [] -[43 <./lectures/../img/lez8-img2.JPG>] [44] +[53 <./lectures/../img/lez8-img2.JPG>] [54] Underfull \hbox (badness 10000) in paragraph at lines 125--133 [] - + File: lectures/../img/lez8-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img3.JPG used on input line 144. (pdftex.def) Requested size: 195.0pt x 59.7786pt. - + File: lectures/../img/lez8-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img4.JPG used on input line 165. (pdftex.def) Requested size: 234.00238pt x 85.03378pt. -[45 <./lectures/../img/lez8-img3.JPG>] +[55 <./lectures/../img/lez8-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 183--186 [] @@ -1470,13 +1575,13 @@ Underfull \hbox (badness 10000) in paragraph at lines 188--195 [] - + File: lectures/../img/lez8-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img5.JPG used on input line 206. (pdftex.def) Requested size: 312.00119pt x 84.1262pt. -[46 <./lectures/../img/lez8-img4.JPG>]) [47 <./lectures/../img/lez8-img5.JPG>] +[56 <./lectures/../img/lez8-img4.JPG>]) [57 <./lectures/../img/lez8-img5.JPG>] (lectures/lecture9.tex Chapter 9. @@ -1489,7 +1594,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 9--12 [] - + File: lectures/../img/lez9-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img1.JPG used on input line 27. @@ -1504,7 +1609,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 18--40 [] -[48 +[58 <./lectures/../img/lez9-img1.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 42--55 @@ -1527,7 +1632,7 @@ Overfull \hbox (72.7222pt too wide) detected at line 63 OMS/cmsy/m/n/12  []  [] [] - + File: lectures/../img/lez9-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img2.JPG used on input line 70. @@ -1537,7 +1642,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 66--74 [] -[49 <./lectures/../img/lez9-img2.JPG>] +[59 <./lectures/../img/lez9-img2.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 84--90 [] @@ -1552,7 +1657,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 103--112 [] -[50] +[60] Underfull \hbox (badness 10000) in paragraph at lines 145--148 [] @@ -1592,12 +1697,12 @@ Underfull \hbox (badness 10000) in paragraph at lines 190--197 [] -[51] +[61] Underfull \hbox (badness 10000) in paragraph at lines 204--207 [] - + File: lectures/../img/lez9-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img3.JPG used on input line 215. @@ -1613,7 +1718,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 209--119 [] -[52 <./lectures/../img/lez9-img3.JPG>] [53] (lectures/lecture10.tex +[62 <./lectures/../img/lez9-img3.JPG>] [63] (lectures/lecture10.tex Chapter 10. LaTeX Font Warning: Command \small invalid in math mode on input line 11. @@ -1669,7 +1774,7 @@ Overfull \hbox (4.56644pt too wide) detected at line 53 cmr/m/n/12 = [] -[54 +[64 ] Overfull \hbox (17.46814pt too wide) detected at line 61 @@ -1692,7 +1797,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 77--80 [] - + File: lectures/../img/lez10-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez10-img1.JPG used on input line 84. @@ -1711,8 +1816,8 @@ Underfull \hbox (badness 10000) in paragraph at lines 109--112 [] -[55] - +[65] + File: lectures/../img/lez10-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez10-img2.JPG used on input line 131 @@ -1722,10 +1827,10 @@ Package pdftex.def Info: lectures/../img/lez10-img2.JPG used on input line 131 LaTeX Warning: `h' float specifier changed to `ht'. -) [56 <./lectures/../img/lez10-img1.JPG>] (lectures/lecture11.tex [57 <./lectur +) [66 <./lectures/../img/lez10-img1.JPG>] (lectures/lecture11.tex [67 <./lectur es/../img/lez10-img2.JPG>] Chapter 11. - + File: lectures/../img/lez11-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img1.JPG used on input line 21. @@ -1746,10 +1851,10 @@ Underfull \hbox (badness 10000) in paragraph at lines 9--39 [] -[58 +[68 <./lectures/../img/lez11-img1.JPG>] - + File: lectures/../img/lez11-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img2.JPG used on input line 53. @@ -1786,8 +1891,8 @@ Underfull \hbox (badness 10000) in paragraph at lines 123--125 [] -[59 <./lectures/../img/lez11-img2.JPG>] - +[69 <./lectures/../img/lez11-img2.JPG>] + File: lectures/../img/lez11-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img3.JPG used on input line 135 @@ -1808,7 +1913,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 166--170 [] -[60 <./lectures/../img/lez11-img3.JPG>] +[70 <./lectures/../img/lez11-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 193--195 [] @@ -1866,7 +1971,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 233--251 [] -[61] +[71] Underfull \hbox (badness 10000) in paragraph at lines 253--256 [] @@ -1901,8 +2006,8 @@ Underfull \hbox (badness 10000) in paragraph at lines 270--287 [] -[62] - +[72] + File: lectures/../img/lez11-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img4.JPG used on input line 311 @@ -1943,25 +2048,25 @@ Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] -[63]) [64 <./lectures/../img/lez11-img4.JPG>] (lectures/lecture12.tex +[73]) [74 <./lectures/../img/lez11-img4.JPG>] (lectures/lecture12.tex Chapter 12. -) [65 +) [75 ] (main.bbl LaTeX Warning: Empty `thebibliography' environment on input line 3. -) [66 +) [76 ] (main.aux) ) Here is how much of TeX's memory you used: - 5334 strings out of 480934 - 75897 string characters out of 2909670 + 5490 strings out of 480934 + 80318 string characters out of 2909670 336254 words of memory out of 3000000 - 21003 multiletter control sequences out of 15000+200000 + 21133 multiletter control sequences out of 15000+200000 561784 words of font info for 96 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 - 34i,13n,42p,311b,355s stack positions out of 5000i,500n,10000p,200000b,50000s + 34i,13n,42p,311b,358s stack positions out of 5000i,500n,10000p,200000b,50000s -Output written on main.pdf (67 pages, 1699850 bytes). +Output written on main.pdf (77 pages, 2082324 bytes). PDF statistics: - 748 PDF objects out of 1000 (max. 8388607) + 806 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) - 116 words of extra memory for PDF output out of 10000 (max. 10000000) + 246 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.pdf b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.pdf index fdea21030..d7aab9306 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.pdf and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.pdf differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.synctex.gz b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.synctex.gz index a36c9af72..0745d708d 100644 Binary files a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.synctex.gz and b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.synctex.gz differ diff --git a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.toc b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.toc index 197d49dd3..8fc79b92a 100644 --- a/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.toc +++ b/1year/3trimester/Machine Learning, Statistical Learning, Deep Learning and Artificial Intelligence/Machine Learning/main.toc @@ -1,54 +1,54 @@ \babel@toc {english}{} -\contentsline {chapter}{\numberline {1}Lecture 1 - 09-03-2020}{4}% -\contentsline {section}{\numberline {1.1}Introduction of the course}{4}% -\contentsline {section}{\numberline {1.2}Examples}{4}% -\contentsline {subsection}{\numberline {1.2.1}Spam filtering}{7}% -\contentsline {chapter}{\numberline {2}Lecture 2 - 07-04-2020}{8}% -\contentsline {section}{\numberline {2.1}Argomento}{8}% -\contentsline {section}{\numberline {2.2}Loss}{8}% -\contentsline {subsection}{\numberline {2.2.1}Absolute Loss}{8}% -\contentsline {subsection}{\numberline {2.2.2}Square Loss}{9}% -\contentsline {subsection}{\numberline {2.2.3}Example of information of square loss}{9}% -\contentsline {subsection}{\numberline {2.2.4}labels and losses}{10}% -\contentsline {subsection}{\numberline {2.2.5}Example TF(idf) documents encoding}{12}% -\contentsline {chapter}{\numberline {3}Lecture 3 - 07-04-2020}{14}% -\contentsline {section}{\numberline {3.1}Overfitting}{16}% -\contentsline {subsection}{\numberline {3.1.1}Noise in the data}{16}% -\contentsline {section}{\numberline {3.2}Underfitting}{17}% -\contentsline {section}{\numberline {3.3}Nearest neighbour}{18}% -\contentsline {chapter}{\numberline {4}Lecture 4 - 07-04-2020}{20}% -\contentsline {section}{\numberline {4.1}Computing $h_{NN}$}{20}% -\contentsline {section}{\numberline {4.2}Tree Predictor}{21}% -\contentsline {chapter}{\numberline {5}Lecture 5 - 07-04-2020}{24}% -\contentsline {section}{\numberline {5.1}Tree Classifier}{24}% -\contentsline {section}{\numberline {5.2}Jensen’s inequality}{25}% -\contentsline {section}{\numberline {5.3}Tree Predictor}{27}% -\contentsline {section}{\numberline {5.4}Statistical model for Machine Learning}{28}% -\contentsline {chapter}{\numberline {6}Lecture 6 - 07-04-2020}{30}% -\contentsline {section}{\numberline {6.1}Bayes Optimal Predictor}{30}% -\contentsline {subsection}{\numberline {6.1.1}Square Loss}{31}% -\contentsline {subsection}{\numberline {6.1.2}Zero-one loss for binary classification}{32}% -\contentsline {section}{\numberline {6.2}Bayes Risk}{34}% -\contentsline {chapter}{\numberline {7}Lecture 7 - 07-04-2020}{35}% -\contentsline {section}{\numberline {7.1}Chernoff-Hoffding bound}{35}% -\contentsline {section}{\numberline {7.2}Union Bound}{36}% -\contentsline {section}{\numberline {7.3}Studying overfitting of a ERM}{40}% -\contentsline {chapter}{\numberline {8}Lecture 8 - 07-04-2020}{42}% -\contentsline {section}{\numberline {8.1}The problem of estimating risk in practise}{43}% -\contentsline {section}{\numberline {8.2}Cross-validation}{45}% -\contentsline {section}{\numberline {8.3}Nested cross validation}{47}% -\contentsline {chapter}{\numberline {9}Lecture 9 - 07-04-2020}{48}% -\contentsline {section}{\numberline {9.1}Tree predictors}{48}% -\contentsline {subsection}{\numberline {9.1.1}Catalan Number}{50}% -\contentsline {chapter}{\numberline {10}Lecture 10 - 07-04-2020}{54}% -\contentsline {section}{\numberline {10.1}TO BE DEFINE}{54}% -\contentsline {section}{\numberline {10.2}MANCANO 20 MINUTI DI LEZIONE}{54}% -\contentsline {section}{\numberline {10.3}Compare risk for zero-one loss}{56}% -\contentsline {chapter}{\numberline {11}Lecture 11 - 20-04-2020}{58}% -\contentsline {section}{\numberline {11.1}Analysis of $K_{NN}$}{58}% -\contentsline {subsection}{\numberline {11.1.1}Study of $K_{NN}$}{61}% -\contentsline {subsection}{\numberline {11.1.2}study of trees}{62}% -\contentsline {section}{\numberline {11.2}Non-parametric Algorithms}{63}% -\contentsline {subsection}{\numberline {11.2.1}Example of parametric algorithms}{64}% -\contentsline {chapter}{\numberline {12}Lecture 12 - 21-04-2020}{65}% -\contentsline {section}{\numberline {12.1}Non parametrics algorithms}{65}% +\contentsline {chapter}{\numberline {1}Lecture 1 - 09-03-2020}{5}% +\contentsline {section}{\numberline {1.1}Introduction of the course}{5}% +\contentsline {section}{\numberline {1.2}Examples}{5}% +\contentsline {subsection}{\numberline {1.2.1}Spam filtering}{8}% +\contentsline {chapter}{\numberline {2}Lecture 2 - 07-04-2020}{9}% +\contentsline {section}{\numberline {2.1}Argomento}{9}% +\contentsline {section}{\numberline {2.2}Loss}{9}% +\contentsline {subsection}{\numberline {2.2.1}Absolute Loss}{9}% +\contentsline {subsection}{\numberline {2.2.2}Square Loss}{10}% +\contentsline {subsection}{\numberline {2.2.3}Example of information of square loss}{11}% +\contentsline {subsection}{\numberline {2.2.4}labels and losses}{12}% +\contentsline {subsection}{\numberline {2.2.5}Example TF(idf) documents encoding}{14}% +\contentsline {chapter}{\numberline {3}Lecture 3 - 07-04-2020}{16}% +\contentsline {section}{\numberline {3.1}Overfitting}{18}% +\contentsline {subsection}{\numberline {3.1.1}Noise in the data}{18}% +\contentsline {section}{\numberline {3.2}Underfitting}{20}% +\contentsline {section}{\numberline {3.3}Nearest neighbour}{20}% +\contentsline {chapter}{\numberline {4}Lecture 4 - 07-04-2020}{23}% +\contentsline {section}{\numberline {4.1}Computing $h_{NN}$}{23}% +\contentsline {section}{\numberline {4.2}Tree Predictor}{25}% +\contentsline {chapter}{\numberline {5}Lecture 5 - 07-04-2020}{29}% +\contentsline {section}{\numberline {5.1}Tree Classifier}{29}% +\contentsline {section}{\numberline {5.2}Jensen’s inequality}{31}% +\contentsline {section}{\numberline {5.3}Tree Predictor}{35}% +\contentsline {section}{\numberline {5.4}Statistical model for Machine Learning}{36}% +\contentsline {chapter}{\numberline {6}Lecture 6 - 07-04-2020}{38}% +\contentsline {section}{\numberline {6.1}Bayes Optimal Predictor}{38}% +\contentsline {subsection}{\numberline {6.1.1}Square Loss}{39}% +\contentsline {subsection}{\numberline {6.1.2}Zero-one loss for binary classification}{40}% +\contentsline {section}{\numberline {6.2}Bayes Risk}{43}% +\contentsline {chapter}{\numberline {7}Lecture 7 - 07-04-2020}{45}% +\contentsline {section}{\numberline {7.1}Chernoff-Hoffding bound}{45}% +\contentsline {section}{\numberline {7.2}Union Bound}{46}% +\contentsline {section}{\numberline {7.3}Studying overfitting of a ERM}{50}% +\contentsline {chapter}{\numberline {8}Lecture 8 - 07-04-2020}{52}% +\contentsline {section}{\numberline {8.1}The problem of estimating risk in practise}{53}% +\contentsline {section}{\numberline {8.2}Cross-validation}{55}% +\contentsline {section}{\numberline {8.3}Nested cross validation}{57}% +\contentsline {chapter}{\numberline {9}Lecture 9 - 07-04-2020}{58}% +\contentsline {section}{\numberline {9.1}Tree predictors}{58}% +\contentsline {subsection}{\numberline {9.1.1}Catalan Number}{60}% +\contentsline {chapter}{\numberline {10}Lecture 10 - 07-04-2020}{64}% +\contentsline {section}{\numberline {10.1}TO BE DEFINE}{64}% +\contentsline {section}{\numberline {10.2}MANCANO 20 MINUTI DI LEZIONE}{64}% +\contentsline {section}{\numberline {10.3}Compare risk for zero-one loss}{66}% +\contentsline {chapter}{\numberline {11}Lecture 11 - 20-04-2020}{68}% +\contentsline {section}{\numberline {11.1}Analysis of $K_{NN}$}{68}% +\contentsline {subsection}{\numberline {11.1.1}Study of $K_{NN}$}{71}% +\contentsline {subsection}{\numberline {11.1.2}study of trees}{72}% +\contentsline {section}{\numberline {11.2}Non-parametric Algorithms}{73}% +\contentsline {subsection}{\numberline {11.2.1}Example of parametric algorithms}{74}% +\contentsline {chapter}{\numberline {12}Lecture 12 - 21-04-2020}{75}% +\contentsline {section}{\numberline {12.1}Non parametrics algorithms}{75}%