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Riccardo Finotello
2025-01-12 22:46:42 +01:00
parent fb2fe7b6c6
commit f11def51ce
8 changed files with 556 additions and 203 deletions
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@@ -1,160 +1,160 @@
\newlength{\unit}
\newlength{\myunit}
\newlength{\layer}
\setlength{\unit}{0.225cm}
\setlength{\myunit}{0.225cm}
\setlength{\layer}{1cm}
\begin{tikzpicture}
% draw the first layer
\filldraw[fill=cyan!10, draw=black] (\layer, -0.75cm - \unit) -- (\layer, -0.75cm) circle (\unit) -- (\layer, -0.75cm + \unit);
\filldraw[fill=cyan!10, draw=black] (\layer, -0.75cm - \myunit) -- (\layer, -0.75cm) circle (\myunit) -- (\layer, -0.75cm + \myunit);
\draw (\layer + 0.05cm, -0.75cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [876 units]} -- (\layer + 0.10cm, -0.75cm) -- (\layer + 0.15cm, -0.75cm + 0.05cm);
\node[anchor=base, scale=0.35] at (\layer, -0.75cm + 1.25 * \unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (\layer, -0.75cm + 1.25 * \myunit) {$\vdots$};
\foreach \x in {0,...,5} {
\filldraw[fill=cyan!10, draw=black] (\layer, 0.5cm * \x - \unit) -- (\layer, 0.5cm * \x) circle (\unit) -- (\layer, 0.5cm * \x + \unit);
\filldraw[fill=cyan!10, draw=black] (\layer, 0.5cm * \x - \myunit) -- (\layer, 0.5cm * \x) circle (\myunit) -- (\layer, 0.5cm * \x + \myunit);
\draw (\layer + 0.05cm, 0.5cm * \x) -- (\layer + 0.10cm, 0.5cm * \x) -- (\layer + 0.15cm, 0.5cm * \x + 0.05cm);
};
\filldraw[fill=cyan!10, draw=black] (\layer, 3.25cm - \unit) -- (\layer, 3.25cm) circle (\unit) -- (\layer, 3.25cm + \unit);
\filldraw[fill=cyan!10, draw=black] (\layer, 3.25cm - \myunit) -- (\layer, 3.25cm) circle (\myunit) -- (\layer, 3.25cm + \myunit);
\draw (\layer + 0.05cm, 3.25cm) -- (\layer + 0.10cm, 3.25cm) -- (\layer + 0.15cm, 3.25cm + 0.05cm);
\node[anchor=base, scale=0.35] at (\layer, 3.25cm - 2\unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (\layer, 3.25cm - 2\myunit) {$\vdots$};
% draw the second layer
\filldraw[fill=cyan!10, draw=black] (2 * \layer, -\unit) -- (2 * \layer, 0cm) circle (\unit) -- (2 * \layer, \unit);
\filldraw[fill=cyan!10, draw=black] (2 * \layer, -\myunit) -- (2 * \layer, 0cm) circle (\myunit) -- (2 * \layer, \myunit);
\draw (2 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [461 units]} -- (2 * \layer + 0.10cm, 0cm) -- (2 * \layer + 0.15cm, 0.05cm);
\node[anchor=base, scale=0.35] at (2 * \layer, 1.25 * \unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (2 * \layer, 1.25 * \myunit) {$\vdots$};
\foreach \x in {1.5,...,3.5} {
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 0.5cm * \x - \unit) -- (2 * \layer, 0.5cm * \x) circle (\unit) -- (2 * \layer, 0.5cm * \x + \unit);
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 0.5cm * \x - \myunit) -- (2 * \layer, 0.5cm * \x) circle (\myunit) -- (2 * \layer, 0.5cm * \x + \myunit);
\draw (2 * \layer + 0.05cm, 0.5cm * \x) -- (2 * \layer + 0.10cm, 0.5cm * \x) -- (2 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
};
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 2.5cm - \unit) -- (2 * \layer, 2.5cm) circle (\unit) -- (2 * \layer, 2.5cm + \unit);
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 2.5cm - \myunit) -- (2 * \layer, 2.5cm) circle (\myunit) -- (2 * \layer, 2.5cm + \myunit);
\draw (2 * \layer + 0.05cm, 2.5cm) -- (2 * \layer + 0.10cm, 2.5cm) -- (2 * \layer + 0.15cm, 2.5cm + 0.05cm);
\node[anchor=base, scale=0.35] at (2 * \layer, 2.5cm - 2\unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (2 * \layer, 2.5cm - 2\myunit) {$\vdots$};
% draw the third layer
\filldraw[fill=cyan!10, draw=black] (3 * \layer, -\unit) -- (3 * \layer, 0cm) circle (\unit) -- (3 * \layer, \unit);
\filldraw[fill=cyan!10, draw=black] (3 * \layer, -\myunit) -- (3 * \layer, 0cm) circle (\myunit) -- (3 * \layer, \myunit);
\draw (3 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [437 units]} -- (3 * \layer + 0.10cm, 0cm) -- (3 * \layer + 0.15cm, 0.05cm);
\node[anchor=base, scale=0.35] at (3 * \layer, 1.25 * \unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (3 * \layer, 1.25 * \myunit) {$\vdots$};
\foreach \x in {1.5,...,3.5} {
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 0.5cm * \x - \unit) -- (3 * \layer, 0.5cm * \x) circle (\unit) -- (3 * \layer, 0.5cm * \x + \unit);
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 0.5cm * \x - \myunit) -- (3 * \layer, 0.5cm * \x) circle (\myunit) -- (3 * \layer, 0.5cm * \x + \myunit);
\draw (3 * \layer + 0.05cm, 0.5cm * \x) -- (3 * \layer + 0.10cm, 0.5cm * \x) -- (3 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
};
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 2.5cm - \unit) -- (3 * \layer, 2.5cm) circle (\unit) -- (3 * \layer, 2.5cm + \unit);
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 2.5cm - \myunit) -- (3 * \layer, 2.5cm) circle (\myunit) -- (3 * \layer, 2.5cm + \myunit);
\draw (3 * \layer + 0.05cm, 2.5cm) -- (3 * \layer + 0.10cm, 2.5cm) -- (3 * \layer + 0.15cm, 2.5cm + 0.05cm);
\node[anchor=base, scale=0.35] at (3 * \layer, 2.5cm - 2\unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (3 * \layer, 2.5cm - 2\myunit) {$\vdots$};
% draw the fourth layer
\filldraw[fill=cyan!10, draw=black] (4 * \layer, -0.75cm - \unit) -- (4 * \layer, -0.75cm) circle (\unit) -- (4 * \layer, -0.75cm + \unit);
\filldraw[fill=cyan!10, draw=black] (4 * \layer, -0.75cm - \myunit) -- (4 * \layer, -0.75cm) circle (\myunit) -- (4 * \layer, -0.75cm + \myunit);
\draw (4 * \layer + 0.05cm, -0.75cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [929 units]} -- (4 * \layer + 0.10cm, -0.75cm) -- (4 * \layer + 0.15cm, -0.75cm + 0.05cm);
\node[anchor=base, scale=0.35] at (4 * \layer, -0.75cm + 1.25 * \unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (4 * \layer, -0.75cm + 1.25 * \myunit) {$\vdots$};
\foreach \x in {0,...,5} {
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 0.5cm * \x - \unit) -- (4 * \layer, 0.5cm * \x) circle (\unit) -- (4 * \layer, 0.5cm * \x + \unit);
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 0.5cm * \x - \myunit) -- (4 * \layer, 0.5cm * \x) circle (\myunit) -- (4 * \layer, 0.5cm * \x + \myunit);
\draw (4 * \layer + 0.05cm, 0.5cm * \x) -- (4 * \layer + 0.10cm, 0.5cm * \x) -- (4 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
};
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 3.25cm - \unit) -- (4 * \layer, 3.25cm) circle (\unit) -- (4 * \layer, 3.25cm + \unit);
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 3.25cm - \myunit) -- (4 * \layer, 3.25cm) circle (\myunit) -- (4 * \layer, 3.25cm + \myunit);
\draw (4 * \layer + 0.05cm, 3.25cm) -- (4 * \layer + 0.10cm, 3.25cm) -- (4 * \layer + 0.15cm, 3.25cm + 0.05cm);
\node[anchor=base, scale=0.35] at (4 * \layer, 3.25cm - 2\unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (4 * \layer, 3.25cm - 2\myunit) {$\vdots$};
% draw the fifth layer
\filldraw[fill=cyan!10, draw=black] (5 * \layer, -\unit) -- (5 * \layer, 0cm) circle (\unit) -- (5 * \layer, \unit);
\filldraw[fill=cyan!10, draw=black] (5 * \layer, -\myunit) -- (5 * \layer, 0cm) circle (\myunit) -- (5 * \layer, \myunit);
\draw (5 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [404 units]} -- (5 * \layer + 0.10cm, 0cm) -- (5 * \layer + 0.15cm, 0.05cm);
\node[anchor=base, scale=0.35] at (5 * \layer, 1.25 * \unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (5 * \layer, 1.25 * \myunit) {$\vdots$};
\foreach \x in {1.5,...,3.5} {
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 0.5cm * \x - \unit) -- (5 * \layer, 0.5cm * \x) circle (\unit) -- (5 * \layer, 0.5cm * \x + \unit);
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 0.5cm * \x - \myunit) -- (5 * \layer, 0.5cm * \x) circle (\myunit) -- (5 * \layer, 0.5cm * \x + \myunit);
\draw (5 * \layer + 0.05cm, 0.5cm * \x) -- (5 * \layer + 0.10cm, 0.5cm * \x) -- (5 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
};
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 2.5cm - \unit) -- (5 * \layer, 2.5cm) circle (\unit) -- (5 * \layer, 2.5cm + \unit);
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 2.5cm - \myunit) -- (5 * \layer, 2.5cm) circle (\myunit) -- (5 * \layer, 2.5cm + \myunit);
\draw (5 * \layer + 0.05cm, 2.5cm) -- (5 * \layer + 0.10cm, 2.5cm) -- (5 * \layer + 0.15cm, 2.5cm + 0.05cm);
\node[anchor=base, scale=0.35] at (5 * \layer, 2.5cm - 2\unit) {$\vdots$};
\node[anchor=base, scale=0.35] at (5 * \layer, 2.5cm - 2\myunit) {$\vdots$};
% draw the output layer
\filldraw[fill=cyan!10, draw=black] (6 * \layer, 1.25cm - \unit) -- (6 * \layer, 1.25cm) circle (\unit) -- (6 * \layer, 1.25cm + \unit);
\filldraw[fill=cyan!10, draw=black] (6 * \layer, 1.25cm - \myunit) -- (6 * \layer, 1.25cm) circle (\myunit) -- (6 * \layer, 1.25cm + \myunit);
\draw (6 * \layer + 0.05cm, 1.25cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {output layer [1 unit]} -- (6 * \layer + 0.10cm, 1.25cm) -- (6 * \layer + 0.15cm, 1.25cm + 0.05cm);
% draw weights 1 --> 2 and 4 --> 5
\foreach \x in {\layer, 4 * \layer} {
\foreach \y in {-0.75cm, 3.25cm} {
\foreach \z in {0cm, 2.5cm} {
\draw (\x + \unit, \y) -- (\x + \layer - \unit, \z);
\draw (\x + \myunit, \y) -- (\x + \layer - \myunit, \z);
};
};
\foreach \y in {0,...,5} {
\foreach \z in {1.5,...,3.5} {
\draw (\x + \unit, 0.5cm * \y) -- (\x + \layer - \unit, 0.5cm * \z);
\draw (\x + \myunit, 0.5cm * \y) -- (\x + \layer - \myunit, 0.5cm * \z);
};
\foreach \z in {0cm, 2.5cm} {
\draw (\x + \unit, 0.5 * \y) -- (\x + \layer - \unit, \z);
\draw (\x + \myunit, 0.5 * \y) -- (\x + \layer - \myunit, \z);
};
};
\foreach \y in {1.5,...,3.5} {
\draw (\x + \unit, 3.25cm) -- (\x + \layer - \unit, 0.5cm * \y);
\draw (\x + \unit, -0.75cm) -- (\x + \layer - \unit, 0.5cm * \y);
\draw (\x + \myunit, 3.25cm) -- (\x + \layer - \myunit, 0.5cm * \y);
\draw (\x + \myunit, -0.75cm) -- (\x + \layer - \myunit, 0.5cm * \y);
};
};
% draw weights 2 --> 3
\foreach \y in {0cm, 2.5cm} {
\foreach \z in {0cm, 2.5cm} {
\draw (2 * \layer + \unit, \y) -- (2 * \layer + \layer - \unit, \z);
\draw (2 * \layer + \myunit, \y) -- (2 * \layer + \layer - \myunit, \z);
};
};
\foreach \y in {1.5,...,3.5} {
\foreach \z in {1.5,...,3.5} {
\draw (2 * \layer + \unit, 0.5cm * \y) -- (2 * \layer + \layer - \unit, 0.5cm * \z);
\draw (2 * \layer + \myunit, 0.5cm * \y) -- (2 * \layer + \layer - \myunit, 0.5cm * \z);
};
\foreach \z in {0cm, 2.5cm} {
\draw (2 * \layer + \unit, 0.5cm * \y) -- (2 * \layer + \layer - \unit, \z);
\draw (2 * \layer + \myunit, 0.5cm * \y) -- (2 * \layer + \layer - \myunit, \z);
};
};
\foreach \y in {1.5,...,3.5} {
\draw (2 * \layer + \unit, 2.5cm) -- (2 * \layer + \layer - \unit, 0.5cm * \y);
\draw (2 * \layer + \unit, 0cm) -- (2 * \layer + \layer - \unit, 0.5cm * \y);
\draw (2 * \layer + \myunit, 2.5cm) -- (2 * \layer + \layer - \myunit, 0.5cm * \y);
\draw (2 * \layer + \myunit, 0cm) -- (2 * \layer + \layer - \myunit, 0.5cm * \y);
};
% draw weights 3 --> 4
\foreach \y in {0cm, 2.5cm} {
\foreach \z in {-0.75cm, 3.25cm} {
\draw (3 * \layer + \unit, \y) -- (3 * \layer + \layer - \unit, \z);
\draw (3 * \layer + \myunit, \y) -- (3 * \layer + \layer - \myunit, \z);
};
};
\foreach \y in {1.5,...,3.5} {
\foreach \z in {0,...,5} {
\draw (3 * \layer + \unit, 0.5cm * \y) -- (3 * \layer + \layer - \unit, 0.5cm * \z);
\draw (3 * \layer + \myunit, 0.5cm * \y) -- (3 * \layer + \layer - \myunit, 0.5cm * \z);
};
\foreach \z in {0cm, 2.5cm} {
\draw (3 * \layer + \unit, 0.5cm * \y) -- (3 * \layer + \layer - \unit, \z);
\draw (3 * \layer + \myunit, 0.5cm * \y) -- (3 * \layer + \layer - \myunit, \z);
};
};
\foreach \y in {0,...,5} {
\draw (3 * \layer + \unit, 2.5cm) -- (3 * \layer + \layer - \unit, 0.5cm * \y);
\draw (3 * \layer + \unit, 0cm) -- (3 * \layer + \layer - \unit, 0.5cm * \y);
\draw (3 * \layer + \myunit, 2.5cm) -- (3 * \layer + \layer - \myunit, 0.5cm * \y);
\draw (3 * \layer + \myunit, 0cm) -- (3 * \layer + \layer - \myunit, 0.5cm * \y);
};
% draw weights 5 --> output
\foreach \y in {0cm, 2.5cm} {
\draw (5 * \layer + \unit, \y) -- (5 * \layer + \layer - \unit, 1.25cm);
\draw (5 * \layer + \myunit, \y) -- (5 * \layer + \layer - \myunit, 1.25cm);
};
\foreach \y in {1.5,...,3.5} {
\draw (5 * \layer + \unit, 0.5cm * \y) -- (5 * \layer + \layer - \unit, 1.25cm);
\draw (5 * \layer + \myunit, 0.5cm * \y) -- (5 * \layer + \layer - \myunit, 1.25cm);
};
% draw hidden layers legend
\node[anchor=base, align=center, text width=3.5cm, scale=0.5] (h) at (4cm, 4.5cm) {hidden layers (ReLU activation)};
\draw[->] (h) -- (\layer + \unit, 3.6cm);
\draw[->] (h) -- (2 * \layer + \unit, 2.85cm);
\draw[->] (h) -- (3 * \layer + 0.5 * \unit, 2.85cm);
\draw[->] (h) -- (\layer + \myunit, 3.6cm);
\draw[->] (h) -- (2 * \layer + \myunit, 2.85cm);
\draw[->] (h) -- (3 * \layer + 0.5 * \myunit, 2.85cm);
\draw[->] (h) -- (4 * \layer, 3.6cm);
\draw[->] (h) -- (5 * \layer - 0.5 * \unit, 2.85cm);
\draw[->] (h) -- (5 * \layer - 0.5 * \myunit, 2.85cm);
\end{tikzpicture}
% vim: ft=tex
% vim: ft=tex