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\chapter{Lecture 1 - 09-03-2020}
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\section{Lecture 1 - 09-03-2020}
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\subsection{Introduction}
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\section{Introduction}
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This is time for all good men to come to the aid of their party!
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MACHINE LEARNING
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\section{Lecture 10 - 07-04-2020}
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\documentclass[../main.tex]{subfiles}
|
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\begin{document}
|
||||
\section{Lecture 2 - 07-04-2020}
|
||||
\chapter{Lecture 2 - 07-04-2020}
|
||||
|
||||
\subsection{Argomento}
|
||||
\section{Argomento}
|
||||
Classification tasks\\
|
||||
Semantic label space Y\\
|
||||
Categorization Y finite and\\ small
|
||||
@ -27,8 +27,8 @@ $
|
||||
Losses for regression?\\
|
||||
$y$, and $\hat{y} \in \barra{R}$, \\so they are numbers!\\
|
||||
One example of loss is the absolute loss: absolute difference between numbers\\
|
||||
\subsection{Loss}
|
||||
\subsubsection{Absolute Loss}
|
||||
\section{Loss}
|
||||
\subsection{Absolute Loss}
|
||||
$$\ell(y,\hat{y} = | y - \hat{y} | \Rightarrow absolute \quad loss\\ $$
|
||||
--- DISEGNO ---\\\\
|
||||
Some inconvenient properties:
|
||||
@ -38,7 +38,7 @@ Some inconvenient properties:
|
||||
\item Derivative only two values (not much informations)
|
||||
\end{itemize}
|
||||
|
||||
\subsubsection{Square Loss}
|
||||
\subsection{Square Loss}
|
||||
$$ \ell(y,\hat{y} = ( y - \hat{y} )^2 \Rightarrow \textit{square loss}\\$$
|
||||
-- DISEGNO ---\\
|
||||
Derivative :
|
||||
@ -50,7 +50,7 @@ Real numbers as label $\rightarrow$ regression.\\
|
||||
Whenever taking difference between two prediction make sense (value are numbers) then we are talking about regression problem.\\
|
||||
Classification as categorization when we have small finite set.\\\\
|
||||
|
||||
\subsubsection{Example of information of square loss}
|
||||
\subsection{Example of information of square loss}
|
||||
|
||||
$\ell(y,\hat{y}) = ( y - \hat{y} )^2 = F(y)
|
||||
\\
|
||||
@ -106,7 +106,7 @@ $
|
||||
The algorithm will be punish high more the prediction is not real. Algorithm will not get 0 and 1 because for example is impossible to get a perfect prediction.\\
|
||||
This loss is useful to give this information to the algorithm.\\\\
|
||||
Now we talk about labels and losses\\
|
||||
\subsubsection{labels and losses}
|
||||
\subsection{labels and losses}
|
||||
Data points: they have some semantic labels that denote some true about this data points and we want to predict this labels.\\
|
||||
We need to define what data points are: number? Strings? File? Typically they are stored in database records \\
|
||||
They can have very precise structure or more homogeneously structured \\
|
||||
@ -154,7 +154,7 @@ There is a way to encode a set of documents in point in a fixed dimensional
|
||||
space in such way it make sense this coordinate are comparable.\\
|
||||
I can represent fields with [0,1] for Neural network for example. But they have no geometrical meaning\\
|
||||
|
||||
\subsubsection{Example TF(idf) documents encoding}
|
||||
\subsection{Example TF(idf) documents encoding}
|
||||
TF encoding of docs.
|
||||
\begin{enumerate}
|
||||
\item Extract where all the words from docs
|
||||
|
||||
@ -1,7 +1,7 @@
|
||||
\documentclass[../main.tex]{subfiles}
|
||||
|
||||
\begin{document}
|
||||
\section{Lecture 3 - 07-04-2020}
|
||||
\chapter{Lecture 3 - 07-04-2020}
|
||||
Data point x represented as sequences of measurement and we called this
|
||||
measurements features or attributes.\\
|
||||
$$ x = (x_1,..., x_d) \qquad x_1 \quad \textit{feature value}
|
||||
@ -74,7 +74,7 @@ which we can avoid this to happen by design:
|
||||
We want when we run ERM choosing a good predictor with ...... PD\\\\
|
||||
|
||||
|
||||
\subsection{Overfitting}
|
||||
\section{Overfitting}
|
||||
We called this as overfitting: specific situation in which ‘A’ (where A is the
|
||||
learning algorithm) overfits if f output by A tends to have a training error much
|
||||
smaller than the test error.\\
|
||||
@ -84,7 +84,7 @@ Minimising training error doesn’t mean minimising test error. Overfitting is b
|
||||
Why this happens?\\
|
||||
This happen because we have \textbf{noise in the data}\\
|
||||
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||||
\subsubsection{Noise in the data}
|
||||
\subsection{Noise in the data}
|
||||
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||||
Noise in the data: $y_t$ is not deterministically associated with $x_i$.\\\\
|
||||
Could be that datapoint appears more times in the same test set.
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||||
@ -160,7 +160,7 @@ define which predictor is good.\\
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||||
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||||
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||||
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||||
\subsection{Underfitting}
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||||
\section{Underfitting}
|
||||
‘A’ underfits when f output by A has training error close to test error but they
|
||||
are both large.\\
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||||
Close error test and training error is good but the are both large.
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||||
@ -183,7 +183,7 @@ $$
|
||||
m >> ln |F| \qquad when \quad |F| < \infty \textit{\\ where m is the size of traning set}
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||||
$$
|
||||
\\
|
||||
\subsection{Nearest neighbour}
|
||||
\section{Nearest neighbour}
|
||||
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|
||||
algorithm. This exploit the geometry of the data.
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||||
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|
||||
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||||
@ -1,7 +1,7 @@
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\documentclass[../main.tex]{subfiles}
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\section{Lecture 4 - 07-04-2020}
|
||||
\chapter{Lecture 4 - 07-04-2020}
|
||||
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||||
We spoke about Knn classifier with voronoi diagram
|
||||
|
||||
@ -11,7 +11,7 @@ $$
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||||
\\
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||||
$\hnn$ predictor needs to store entire dataset.
|
||||
\\
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||||
\subsection{Computing $\hnn$}
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\section{Computing $\hnn$}
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\\
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$$
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@ -69,7 +69,7 @@ There are some heuristic to run NN algorithm without value of $k$.
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\\
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\end{itemize}
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\subsection{Tree Predictor}
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\section{Tree Predictor}
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Loading…
Reference in New Issue
Block a user