text stringlengths 9 39.2M | dir stringlengths 25 226 | lang stringclasses 163 values | created_date timestamp[s] | updated_date timestamp[s] | repo_name stringclasses 751 values | repo_full_name stringclasses 752 values | star int64 1.01k 183k | len_tokens int64 1 18.5M |
|---|---|---|---|---|---|---|---|---|
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../westernfonts}
\input{../plots}
\begin{document}
\manipulateSingleHiddenNeuron{999}{-400}{}
\end{document}
``` | /content/code_sandbox/images/high_weight_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 103 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage[default]{cjkfonts}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m1] {};
\node(r1) [neuron,right=1.5 of m2] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\node(tl) [above=0.1 of l2] {layer 1};
\node(tm) [above=0.1 of m3] {layer 2};
% calculate the right position to put the second equation label.
\newdimen\posx
\newdimen\posy
\pgfextractx{\posx}{\pgfpointanchor{r1}{center}}
\pgfextracty{\posy}{\pgfpointanchor{tm}{center}}
\node(tr) at (\posx,\posy) {layer 3};
\coordinate (rc) at ($(r0)!0.5!(r1)$);
\node(desc) [right=0.5 of rc] {
\begin{tabular}{l}
{$w^l_{jk}$ $(l - 1)^{\rm th}$ $k^{\rm th}$ }\\
{ $l^{\rm th}$ $j^{\rm th}$ }\\
\end{tabular}
};
\coordinate (bc) at ($(m0)!0.5!(r0)$);
\node(tw) at (3.8,4.2) [blue] {$w_{24}^3$};
\draw[->,thick,blue] (tw) to (bc);
% connections:
\foreach \x in {0, 1, 2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1}
\draw[->] (m\x) to (r\y);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz16.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 692 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{math}
\begin{document}
\begin{tikzpicture}[
tick/.style={font=\scriptsize}
]
\draw (-6,0) -- (6,0);
\foreach \x in {-30, -20, -10, 0, 10, 20, 30}
\draw (\x / 5, 0) -- (\x / 5, -0.1) node[tick,below]{$\x$};
\draw (0,0) -- (0,7);
\draw (0,7) -- (-0.1, 7) node[tick,left] {$0.4$};
\tikzmath{
% Gaussian distribution:
function gaussian(\x, \m, \s) {
return (1 / (sqrt(2 * pi) * \s)) * exp(- (pow(\x - \m,2)) / (2 * pow(\s, 2)));
};
{\draw[blue,domain=-5:5,samples=201,xscale=0.2] plot (\x, {gaussian(\x, 0, 1.22) * 17.5});};
}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/narrow_gaussian.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 320 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=1.6mm}
]
\foreach \x in {0,...,27}
\foreach \y in {0,...,27}
\node (x\x y\y) [neuron,gray] at (\x * 0.25,\y * 0.25) {};
\node [above] at (3.5,7) {input neurons};
\foreach \x in {0,...,23}
\foreach \y in {0,...,23}
\node (m\x n\y) [neuron,gray] at (\x * 0.25 + 9, \y * 0.25 + 0.5) {};
\node [above] at (12, 6.5) {first hidden layer};
\node(hidden) [neuron,orange,thick] at (m1n23) {};
\foreach \x in {1,...,5}
\foreach \y in {22,23,...,27}
{\node (a\x b\y) [neuron,orange,thick] at (\x * 0.25,\y * 0.25) {};
\draw[->,orange] (a\x b\y) to (hidden);
}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz45.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 365 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=1.6mm}
]
\foreach \x in {0,...,27}
\foreach \y in {0,...,27}
\node (x\x y\y) [neuron,gray] at (\x * 0.25,\y * 0.25) {};
\node [above] at (3.5,7) {hidden neurons (output from feature map)};
\foreach \x in {0,...,11}
\foreach \y in {0,...,11}
\node (m\x n\y) [neuron,gray] at (\x * 0.25 + 9, \y * 0.25 + 3.5) {};
\node [above] at (10.5, 6.5) {max--pooling units};
\node(hidden) [neuron,orange,thick] at (m1n10) {};
\foreach \x in {2,3}
\foreach \y in {24,25}
\node (a\x b\y) [neuron,orange,thick] at (\x * 0.25,\y * 0.25) {};
\coordinate(p) at ($(x3y24.east)!0.5!(x3y25.east)$);
\draw[->,orange] (p) to (hidden);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz47.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 393 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m0] {};
\node(r2) [neuron,right=1.5 of m3] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\coordinate (rc) at ($(r0)!0.5!(r2)$);
\node(r1) at (rc) [neuron] {};
\foreach \x in {0,1,2}
\node(tl\x) [left=0.1 of l\x] {$\ldots$};
\foreach \x in {0,1,2}
\node(tr\x) [right=0.1 of r\x] {$\ldots$};
\node (n0) [neuron,right=5 of m1] {};
\node (n1) [neuron,right=5 of m2] {};
\coordinate (nc) at ($(n0)!0.5!(n1)$);
\node (c) [right=1.5 of nc] {$C$};
\node(tn0) [left=0.1 of n0] {$\ldots$};
\node(tn1) [left=0.1 of n1] {$\ldots$};
% connections:
\foreach \x in {0,1,2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1,2}
\draw[->] (m\x) to (r\y);
\draw[->] (n0) to (c);
\draw[->] (n1) to (c);
% mark:
\coordinate (p0) at ($(l1)!0.5!(m3)$);
\coordinate (p1) at ($(m3)!0.5!(r0)$);
\coordinate (p2) at ($(n1)!0.5!(c)$);
% calculate the right position to put the second equation label.
\newdimen\posx
\newdimen\posy
\pgfextractx{\posx}{\pgfpointanchor{p1}{center}}
\pgfextracty{\posy}{\pgfpointanchor{p0}{center}}
\coordinate (p3) at (\posx,\posy);
\node(q0) [above=1.5 of p0,blue] {$\frac{\partial a^l_j}{\partial w^l_{jk}}$};
\node(q1) [above=1.5 of p3,blue] {$\frac{\partial a^{(l+1)}_q}{\partial a^l_j}$};
\node(q2) [above=of p2,blue] {$\frac{\partial C}{\partial a^L_m}$};
\draw[->,very thick,blue] (p0) to (m3);
\draw[->,very thick,blue] (m3) to (r0);
\draw[->,very thick,blue] (n1) to (c);
\draw[->,thick,blue,dashed] (p0) to (q0);
\draw[->,thick,blue,dashed] (p1) to (q1);
\draw[->,thick,blue,dashed] (p2) to (q2);
% \draw[--] (q0) node (contact) {} -| (p1);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz27.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 1,031 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{0.6}{0.9}{0.15}{100}
\end{document}
``` | /content/code_sandbox/images/saturation1-100.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```postscript
%!PS-Adobe-3.0 EPSF-3.0
%%Title: /home/zhanggyb/regularized1.eps
%%Creator: matplotlib version 1.3.1, path_to_url
%%CreationDate: Wed Feb 17 11:25:05 2016
%%Orientation: portrait
%%BoundingBox: 13 175 598 616
%%EndComments
%%BeginProlog
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mpldict begin
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/box {
m
1 index 0 r
0 exch r
neg 0 r
cl
} bind def
/clipbox {
box
clip
newpath
} bind def
%!PS-Adobe-3.0 Resource-Font
%%Title: DejaVu Sans
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
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/Encoding [ /space /period /zero /one /two /three /four /five /six /eight /C /E /a /c /d /e /g /h /i /n /o /p /r /s /t ] def
/FontInfo 10 dict dup begin
/FamilyName (DejaVu Sans) def
/FullName (DejaVu Sans) def
/Weight (Book) def
/Version (Version 2.34) def
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end readonly def
/CharStrings 25 dict dup begin
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showpage
``` | /content/code_sandbox/images/regularized1.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 12,891 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateDoubleBump{0.4}{0.6}{-1.2}{0.7}{0.9}{0.3}
\end{document}
``` | /content/code_sandbox/images/double_bump.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 114 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm}
]
% leftmost neurons:
\foreach \y in {0,...,5}
\node (l\y) at (0, \y * 1.25) [neuron] {};
% left hidden layers:
\foreach \y in {0,...,3}
\node (hl\y) at (2, \y * 1.25 + 1 * 1.25) [neuron] {};
% right hidden layers:
\foreach \y in {0,...,2}
\node (hr\y) at (4, \y * 1.875 + 1 * 1.25) [neuron] {};
% output:
\node (output) at (6, 3.125) [neuron] {};
% draw brace:
\draw[decorate,decoration={brace,mirror}] ([xshift=-5mm]l5.west) -- ([xshift=-5mm]l0.west) node [midway,xshift=-10mm] {
\footnotesize input layer
};
\draw[decorate,decoration={brace}] ([yshift=2mm]hl3.north) -- ([yshift=2mm]hr2.north) node [midway,yshift=5mm] {
\footnotesize hidden layer
};
\draw[decorate,decoration={brace}] ([yshift=6mm]output.west) -- ([yshift=6mm]output.east) node [midway,yshift=5mm] {
\footnotesize output layer
};
% connections:
\foreach \x in {0,...,5}
\foreach \y in {0,...,3}
\draw [->] (l\x) to (hl\y);
\foreach \x in {0,...,3}
\foreach \y in {0,...,2}
\draw [->] (hl\x) to (hr\y);
\foreach \y in {0,...,2}
\draw [->] (hr\y) to (output);
\draw [->] (output) to (8, 3.125);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz11.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 574 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage[default]{cjkfonts}
\input{../westernfonts}
\input{../plots}
\begin{document}
\manipulateSingleHiddenNeuron{8}{-4}{
}
\end{document}
``` | /content/code_sandbox/images/basic_manipulation.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 108 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=12mm}
]
\node (perceptron) at (0, 0) [neuron] {$3$};
\node (output) at (2.65, 0) {};
\node (x1) at (-2.65, 1) {$x_1$};
\node (x2) at (-2.65, -1) {$x_2$};
\draw [->] (x1) to node [yshift=2.5mm] {$-2$} (perceptron);
\draw [->] (x2) to node [yshift=2.5mm] {$-2$} (perceptron);
\draw [->] (perceptron) to (output);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz2.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 247 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateDesignFunction{-1.1}{-1.4}{-0.3}{-1.0}{1.2}
\end{document}
``` | /content/code_sandbox/images/design_function_success.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 111 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{2.0}{2.0}{0.15}{150}
\end{document}
``` | /content/code_sandbox/images/saturation2-150.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{graphicx}
\usepackage[default]{cjkfonts}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m0] {};
\node(r2) [neuron,right=1.5 of m3] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\coordinate (rc) at ($(r0)!0.5!(r2)$);
\node(r1) at (rc) [neuron] {};
\node(t) at (3.8,5) [blue] {neuron $j$, layer $l$};
\draw[->,thick,blue] (t) to (m1);
\foreach \x in {0,1,2}
\node(tl\x) [left=0.1 of l\x] {$\ldots$};
\foreach \x in {0,1,2}
\node(tr\x) [right=0.1 of r\x] {$\ldots$};
\node (n0) [neuron,right=5 of m1] {};
\node (n1) [neuron,right=5 of m2] {};
\coordinate (nc) at ($(n0)!0.5!(n1)$);
\node (c) [right=1.5 of nc] {$C$};
\node(tn0) [left=0.1 of n0] {$\ldots$};
\node(tn1) [left=0.1 of n1] {$\ldots$};
% connections:
\foreach \x in {0,1,2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1,2}
\draw[->] (m\x) to (r\y);
\draw[->] (n0) to (c);
\draw[->] (n1) to (c);
% load a daemon image:
\node(daemon) at (m1.west) [xshift=-4pt] {\includegraphics[width=0.05\textwidth]{daemon}};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz19.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 731 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{0.6}{0.9}{0.15}{50}
\end{document}
``` | /content/code_sandbox/images/saturation1-50.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,math}
\input{../plots}
\begin{document}
\manipulateSoftmaxBars{2.5}{-1}{3.2}{2}
\end{document}
``` | /content/code_sandbox/images/softmax-1.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 86 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2}, % big number to disable
title={Tower function},
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)},
declare function={
sigma(\z)=1/(1 + exp(-\z));
f(\x,\y,\h,\b)=sigma(\b + \h * (sigma(1000 * (\x - 0.4)) - sigma(1000 * (\x - 0.6))) + \h * (sigma(1000 * (\y - 0.3)) - sigma(1000 * (\y - 0.7))));
% f(x,y,h,b) is used in tower_construction.tex
}]
\addplot3[surf,domain=0:1] {
f(x,y,10,-16)
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tower.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 347 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{0.6}{0.9}{0.005}{50}
\end{document}
``` | /content/code_sandbox/images/saturation3-50.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\node (m1) [neuron] {};
\node (m0) [neuron,below=.5 of m1] {};
\node (m2) [neuron,above=.5 of m1] {};
\node (l0) [neuron,left=of m1] {$x$};
\node (r0) [neuron,right=of m1] {};
\foreach \x in {0,1,2}
\draw[->] (l0) to (m\x);
\foreach \x in {0,1,2}
\draw[->] (m\x) to (r0);
\draw[->] (r0) -- ++(1,0) node [right] {$f(x)$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/basic_network.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 271 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
width=6cm,
height=6cm,
xlabel={\normalsize $x$},
axis lines=left,
tick label style={font=\tiny},
label style={font=\tiny},
title style={font=\scriptsize},
xtick={0,1},
ytick={1},
% minor tick num=1,
title={}
]
\fill [fill=green!10] (axis cs:0.43,0.002) -- (axis cs:0.57,0.002) -- (axis cs:0.57,1) -- (axis cs:0.43,1);
\addplot[
orange,
thick,
domain=0:1,
samples=201
] {
1/(1 + exp(-(100 * x + (-50))))
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/failure.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 286 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateFiveBumps{-0.3}{-1.3}{-0.5}{1.3}{-0.2}
\end{document}
``` | /content/code_sandbox/images/five_bumps.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 112 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage[default]{cjkfonts}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
[question/.style={rectangle,draw,minimum width=5cm,minimum height=1.5cm},font=\footnotesize]
\foreach \y in {0,...,9}
\node(i\y) at (-5, -3.6 + \y / 1.25) [circle,draw,minimum size=6mm] {};
\node(q0) [question] {
};
\node(q1) [question,above=5mm of q0] {
};
\node(q2) [question,above=5mm of q1] {
};
\node(q3) [question,below=5mm of q0] {
};
\node(q4) [question,below=5mm of q3] {
};
\node(n) [circle,draw,right=2cm of q0,minimum size=6mm] {};
\node(o) [right=of n] {
};
\node(text) [above] at (i9.north) {
\begin{tabular}{c}
input layer\\
(image pixels)\\
\end{tabular}
};
% connections:
\foreach \x in {0,...,9}
\foreach \y in {0,...,4}
\draw[->] (i\x) to (q\y.west);
\foreach \x in {0,...,4}
\draw[->] (q\x.east) to (n);
\draw[->] (n) to (o);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz14.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 432 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
%title={$x^2 + y^2$},
%3d box=complete,
grid=major,
axis background/.style={fill=blue!5},
xlabel=$v_1$,
ylabel=$v_2$,
zlabel=$C$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={-1,0,1},
ytick={-1,0,1},
ztick={0,1,2},
colormap={cool}{rgb255(0cm)=(255,0,255); rgb255(1cm)=(0,128,255); rgb255(2cm)=(255,255,255)}]
\addplot3[surf,domain=-1:1] {
x*x + y*y
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/valley.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 265 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=1.6mm}
]
\foreach \x in {0,...,27}
\foreach \y in {0,...,27}
\node (x\x{}y\y) [neuron] at (\x * 0.25,\y * 0.25) {};
\node [above] at (3.5,7) {input neurons};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz42.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 173 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\foreach \y in {0,...,4}
\node (m\y) [neuron] at (0, \y * 1.5) {};
\node (l0) [neuron,left=of m2] {$x$};
\node (r0) [neuron,right=of m2] {};
\foreach \y in {0,...,4}
\draw[->] (l0) to (m\y);
\foreach \y in {0,...,4}
\draw[->] (m\y) to (r0);
\draw[->] (r0) -- ++(1,0) node [right] {$f(x)$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/bigger_network.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 258 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,math}
\input{../plots}
\begin{document}
\manipulateSoftmaxBars{2.5}{-1}{3.2}{0.5}
\end{document}
``` | /content/code_sandbox/images/softmax.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 88 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{0.6}{0.9}{0.005}{100}
\end{document}
``` | /content/code_sandbox/images/saturation3-100.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{scope}
\node(n) [neuron] {};
\node(h0) [neuron,left=of n,yshift=1.5cm] {};
\node(h1) [neuron,left=of n,yshift=-1.5cm] {};
\node(x) [neuron,left=of h0] {$x$};
\node(y) [neuron,left=of h1] {$y$};
\draw[->] (x) to (h0);
\draw[->] (x) to (h1);
\draw[->] (y) to (h0);
\draw[->] (y) to (h1);
\node (s0) [blue] at (h0.center) {$0.30$};
\node at (s0.north) {\tiny $x$};
\node (s1) [blue] at (h1.center) {$0.70$};
\node at (s1.north) {\tiny $x$};
\node [blue,right=5mm of h0] {$h = 0.6$};
\draw[->] (h0) -- node [xshift=2mm,yshift=2mm] {\scriptsize $0.6$} (n);
\draw[->] (h1) -- node [xshift=2mm,yshift=-2mm] {\scriptsize $-0.6$} (n);
\draw[->] (n) -- ++(1cm, 0);
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2.5cm]
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2},
title=Output,
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)},
declare function={
sigma(\z)=1/(1 + exp(-\z));
f(\x,\y)=0.6 * (sigma(1000 * (\x - 0.3)) - sigma(1000 * (\x - 0.7)));
% f(x,y) = h * (sigma(1000 * (x - s1)) - sigma(1000 * (x - s2)));
}]
\addplot3[surf,domain=0:1] {
f(x,y)
};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/bump_3d.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 714 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{2.0}{2.0}{0.005}{250}
\end{document}
``` | /content/code_sandbox/images/saturation4-250.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\draw[->] (-5,0) -- (5,0) node [right] {$z$};
\draw[->] (0,0) -- (0,4) node [above] {$\sigma (z)$};
\draw[orange,thick,domain=-5:5,samples=101,yscale=4] plot (\x, {1/(1 + exp(-\x))});
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/sigmoid.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 165 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateTwoHNNetwork{0.40}{0.8}{0.60}{-0.8}
\end{document}
``` | /content/code_sandbox/images/bump_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 107 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{0.6}{0.9}{0.005}{200}
\end{document}
``` | /content/code_sandbox/images/saturation3-200.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{0.6}{0.9}{0.15}{200}
\end{document}
``` | /content/code_sandbox/images/saturation1-200.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\begin{document}
\begin{tikzpicture}[
tick/.style={font=\footnotesize}
]
\draw (-5,0) -- (5,0);
\foreach \x in {-4, -3, -2, -1, 0, 1, 2, 3, 4}
\draw (\x, 0) -- (\x, -0.1) node[tick,below]{$\x$};
\draw (-5, 0) -- (-5, -0.1);
\draw (5, 0) -- (5, -0.1);
\draw (-5,0) -- (-5,5);
\foreach \y in {0.0, 0.2, 0.4, 0.6, 0.8, 1.0}
\draw (-5, \y * 5) -- (-5-0.1, \y * 5) node[tick,left]{$\y$};
\draw (0, -0.5) node[below] {Z};
\draw (0, 5) node[above] {step function};
\draw[blue,thick] (-5, 0) -- (0, 0) -- (0, 5) -- (5, 5);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/step_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 352 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=6mm}
]
\foreach \y in {0,...,7}
\node(i\y) [neuron] at (0,\y * 0.9 + 0.45) {};
\foreach \y in {0,...,8}
\node(h1\y) [neuron] at (3,\y * 0.9) {};
\foreach \y in {0,...,8}
\node(h2\y) [neuron] at (6,\y * 0.9) {};
\foreach \y in {0,...,8}
\node(h3\y) [neuron] at (9,\y * 0.9) {};
\foreach \y in {0,...,3}
\node(o\y) [neuron] at (12,\y * 0.9 + 2.25) {};
\node [above=0.5 of i7] {input layer};
\node [above=0.5 of h18] {hidden layer 1};
\node [above=0.5 of h28] {hidden layer 2};
\node [above=0.5 of h38] {hidden layer 3};
\node [above=0.5 of o3] {output layer};
\foreach \x in {0,...,7}
\foreach \y in {0,...,8}
\draw[->] (i\x) to (h1\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,8}
\draw[->] (h1\x) to (h2\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,8}
\draw[->] (h2\x) to (h3\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,3}
\draw[->] (h3\x) to (o\y);
\foreach \y in {0,...,3}
\draw[->] (o\y) -- ++(1,0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz41.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 572 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateRamping{6}{-3}
\end{document}
``` | /content/code_sandbox/images/ramping.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 93 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{0.6}{0.9}{0.005}{0}
\end{document}
``` | /content/code_sandbox/images/saturation3-0.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\input{../plots}
\begin{document}
\createTiGraphSurf{100}{-37}
\end{document}
``` | /content/code_sandbox/images/ti_graph-4.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 83 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\input{../plots}
\begin{document}
\manipulateTowerConstruction{10.0}{-15}
\end{document}
``` | /content/code_sandbox/images/tower_construction_2.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 84 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\node (up) {
$\frac{\partial C}{\partial b_1} = \sigma'(z_1)
\overbrace{w_2 \sigma'(z_2)}^{< \frac{1}{4}}
\overbrace{w_3 \sigma'(z_3)}^{< \frac{1}{4}}
\underbrace{w_4 \sigma'(z_4) \frac{\partial C}{\partial a_4}}$
};
\node (down) [below=3,anchor=east] at (up.east) {
$\frac{\partial C}{\partial b_3} = \sigma'(z_3)
\overbrace{w_4 \sigma'(z_4) \frac{\partial C}{\partial a_4}}$
};
\draw[<->] ([xshift=-1.185cm]up.south east) -- node [right] {common terms} ([xshift=-1.185cm]down.north east);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz39.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 302 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
width=7cm,
height=7cm,
xlabel={\normalsize $x$},
axis lines=center,
tick label style={font=\tiny},
label style={font=\tiny},
title style={font=\scriptsize},
xtick={1},
ytick={-2,-1,0,1,2},
% minor tick num=1,
title={$\sigma^{-1} \circ f(x)$},
declare function={
sigmaInverse(\z)=ln(\z/(1-\z));
f(\x)=0.2+0.4*\x*\x+0.3*\x*sin(15*deg(\x))+0.05*cos(50*deg(\x));
},
]
\addplot[blue,domain=0:1,samples=201] {
sigmaInverse(f(x))
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/inverted_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 289 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage[default]{cjkfonts}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m1] {};
\node(r1) [neuron,right=1.5 of m2] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\coordinate (rc) at ($(r0)!0.5!(r1)$);
\node(eq) [right=1.5 of rc] {cost $C = C(a^L)$};
% connections:
\foreach \x in {0, 1, 2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1}
\draw[->] (m\x) to (r\y);
\draw[->] (r0) to node [above,yshift=-1mm] {$a^L_2$} (eq);
\draw[->] (r1) to node [above,yshift=-1mm] {$a^L_1$} (eq);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz18.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 496 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\node(n) [neuron] {};
\node(s2) [left=of n,neuron,yshift=5mm] {$s_2$};
\node(t2) [left=of n,neuron,yshift=-5mm] {$t_2$};
\node(t1) [above=of s2,circle,inner sep=0pt,minimum size=10mm] {};
\node(s1) [above=of t1,neuron,yshift=-10mm] {$s_1$};
\node(s3) [below=of t2,circle,inner sep=0pt,minimum size=10mm] {};
\node(t3) [below=of s3,neuron,yshift=10mm] {$t_3$};
\node(x1) [left=of s1,neuron,yshift=-5mm] {$x_1$};
\node(x2) [left=of s2,neuron,yshift=-5mm] {$x_2$};
\node(x3) [left=of s3,neuron,yshift=-5mm] {$x_3$};
\foreach \x in {1,2,3} {
\draw[->] (x\x) to (s\x);
\draw[->] (x\x) to (t\x);
\draw[->] (s\x) to (n);
\draw[->] (t\x) to (n);
}
\node(t1c) [neuron] at (t1.center) {$t_1$};
\node(s3c) [neuron] at (s3.center) {$s_3$};
\draw[->] (n) -- ++(10mm,0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tower_n_dim.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 499 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{2.0}{2.0}{0.15}{100}
\end{document}
``` | /content/code_sandbox/images/saturation2-100.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=5mm},
font=\footnotesize
]
% leftmost layer, 10 nodes:
\foreach \y in {0,...,9}
\node (l\y) at (-3, \y / 1.25) [circle,draw] {};
% hidden layer, 5 nodes:
\foreach \y in {0,...,4}
\node (m\y) at (0, 2 + \y / 1.25) [circle,draw] {};
% old output layer, 10 nodes:
\foreach \y in {0,...,9}
\node (r\y) at (3, \y / 1.25) [circle,draw] {};
% new output layer, 4 nodes:
\foreach \y in {0,...,3}
\node (o\y) at (6, 2.4 + \y / 1.25) [circle,draw] {};
% new output layer, 4 nodes:
\foreach \y in {0,...,3}
\node (a\y) [right=of o\y] {};
\begin{scope}[node distance=3mm]
\node (text2) [above=of r9] {
old output layer
};
\end{scope}
\begin{scope}[node distance=6mm]
\node (text1) [above=of m4] {
hidden layer
};
\node (text3) [above=of o3] {
new output layer
};
\end{scope}
% draw brace:
\draw[decorate,decoration={brace,mirror}] ([xshift=-5mm]l9.west) -- ([xshift=-5mm]l0.west) node [midway,xshift=-12.5mm] {
\begin{tabular}{c}
input layer \\
($784$ neurons)
\end{tabular}
};
% connections:
\foreach \x in {0,...,9}
\foreach \y in {0,...,4}
\draw [->] (l\x) to (m\y);
\foreach \x in {0,...,4}
\foreach \y in {0,...,9}
\draw [->] (m\x) to (r\y);
\foreach \x in {0,...,9}
\foreach \y in {0,...,3}
\draw [->] (r\x) to (o\y);
\foreach \x in {0,...,3}
\draw [->] (o\x) to (a\x);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz13.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 685 |
```postscript
%!PS-Adobe-3.0 EPSF-3.0
%%Title: /home/zhanggyb/multiple_eta.eps
%%Creator: matplotlib version 1.3.1, path_to_url
%%CreationDate: Wed Feb 17 11:52:16 2016
%%Orientation: portrait
%%BoundingBox: 13 175 598 616
%%EndComments
%%BeginProlog
/mpldict 9 dict def
mpldict begin
/m { moveto } bind def
/l { lineto } bind def
/r { rlineto } bind def
/c { curveto } bind def
/cl { closepath } bind def
/box {
m
1 index 0 r
0 exch r
neg 0 r
cl
} bind def
/clipbox {
box
clip
newpath
} bind def
%!PS-Adobe-3.0 Resource-Font
%%Title: cmmi10
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
/_d{bind def}bind def
/_m{moveto}_d
/_l{lineto}_d
/_cl{closepath eofill}_d
/_c{curveto}_d
/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
/_e{exec}_d
/FontName /Cmmi10 def
/PaintType 0 def
/FontMatrix[.001 0 0 .001 0 0]def
/FontBBox[-34 -250 1048 750]def
/FontType 3 def
/Encoding [ /eta ] def
/FontInfo 10 dict dup begin
/FamilyName (cmmi10) def
/FullName (cmmi10) def
/Weight (Regular) def
/Version (1.1/12-Nov-94) def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -133 def
/UnderlineThickness 20 def
end readonly def
/CharStrings 1 dict dup begin
/eta{{496 0 27 -215 497 442 _sc
107 -10 _m
99 -10 92 -7 86 -3 _c
80 1 77 8 77 17 _c
77 21 77 24 78 26 _c
153 324 _l
157 342 160 359 160 373 _c
160 401 150 416 131 416 _c
110 416 94 403 84 378 _c
74 353 64 322 55 284 _c
55 282 54 280 52 279 _c
50 278 48 278 47 278 _c
35 278 _l
33 278 31 279 29 281 _c
27 283 27 286 27 288 _c
}_e{34 317 41 342 48 362 _c
54 382 65 400 79 417 _c
93 433 110 442 132 442 _c
156 442 178 434 198 418 _c
217 402 227 382 227 358 _c
246 384 269 404 295 419 _c
321 434 350 442 382 442 _c
416 442 444 432 465 414 _c
486 395 497 368 497 334 _c
497 314 494 295 490 279 _c
374 -183 _l
372 -192 367 -200 359 -206 _c
351 -212 343 -215 333 -215 _c
325 -215 318 -212 312 -207 _c
}_e{306 -202 303 -195 303 -187 _c
303 -183 303 -180 304 -179 _c
419 281 _l
425 308 429 331 429 349 _c
429 367 425 383 417 396 _c
409 409 397 416 380 416 _c
314 416 260 375 217 295 _c
149 22 _l
147 12 142 5 134 -1 _c
126 -7 117 -10 107 -10 _c
_cl}_e}_d
end readonly def
/BuildGlyph
{exch begin
CharStrings exch
2 copy known not{pop /.notdef}if
true 3 1 roll get exec
end}_d
/BuildChar {
1 index /Encoding get exch get
1 index /BuildGlyph get exec
}_d
FontName currentdict end definefont pop
%!PS-Adobe-3.0 Resource-Font
%%Title: DejaVu Sans
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
/_d{bind def}bind def
/_m{moveto}_d
/_l{lineto}_d
/_cl{closepath eofill}_d
/_c{curveto}_d
/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
/_e{exec}_d
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix[.001 0 0 .001 0 0]def
/FontBBox[-1021 -415 1681 1167]def
/FontType 3 def
/Encoding [ /space /period /zero /one /two /three /four /five /six /eight /equal /C /E /c /h /o /p /s /t ] def
/FontInfo 10 dict dup begin
/FamilyName (DejaVu Sans) def
/FullName (DejaVu Sans) def
/Weight (Book) def
/Version (Version 2.34) def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -130 def
/UnderlineThickness 90 def
end readonly def
/CharStrings 19 dict dup begin
/space{318 0 0 0 0 0 _sc
}_d
/period{318 0 107 0 210 124 _sc
107 124 _m
210 124 _l
210 0 _l
107 0 _l
107 124 _l
_cl}_d
/zero{636 0 66 -13 570 742 _sc
318 664 _m
267 664 229 639 203 589 _c
177 539 165 464 165 364 _c
165 264 177 189 203 139 _c
229 89 267 64 318 64 _c
369 64 407 89 433 139 _c
458 189 471 264 471 364 _c
471 464 458 539 433 589 _c
407 639 369 664 318 664 _c
318 742 _m
399 742 461 709 505 645 _c
548 580 570 486 570 364 _c
570 241 548 147 505 83 _c
461 19 399 -13 318 -13 _c
236 -13 173 19 130 83 _c
87 147 66 241 66 364 _c
66 486 87 580 130 645 _c
173 709 236 742 318 742 _c
_cl}_d
/one{636 0 110 0 544 729 _sc
124 83 _m
285 83 _l
285 639 _l
110 604 _l
110 694 _l
284 729 _l
383 729 _l
383 83 _l
544 83 _l
544 0 _l
124 0 _l
124 83 _l
_cl}_d
/two{{636 0 73 0 536 742 _sc
192 83 _m
536 83 _l
536 0 _l
73 0 _l
73 83 _l
110 121 161 173 226 239 _c
290 304 331 346 348 365 _c
380 400 402 430 414 455 _c
426 479 433 504 433 528 _c
433 566 419 598 392 622 _c
365 646 330 659 286 659 _c
255 659 222 653 188 643 _c
154 632 117 616 78 594 _c
78 694 _l
118 710 155 722 189 730 _c
223 738 255 742 284 742 _c
}_e{359 742 419 723 464 685 _c
509 647 532 597 532 534 _c
532 504 526 475 515 449 _c
504 422 484 390 454 354 _c
446 344 420 317 376 272 _c
332 227 271 164 192 83 _c
_cl}_e}_d
/three{{636 0 76 -13 556 742 _sc
406 393 _m
453 383 490 362 516 330 _c
542 298 556 258 556 212 _c
556 140 531 84 482 45 _c
432 6 362 -13 271 -13 _c
240 -13 208 -10 176 -4 _c
144 1 110 10 76 22 _c
76 117 _l
103 101 133 89 166 81 _c
198 73 232 69 268 69 _c
330 69 377 81 409 105 _c
441 129 458 165 458 212 _c
458 254 443 288 413 312 _c
383 336 341 349 287 349 _c
}_e{202 349 _l
202 430 _l
291 430 _l
339 430 376 439 402 459 _c
428 478 441 506 441 543 _c
441 580 427 609 401 629 _c
374 649 336 659 287 659 _c
260 659 231 656 200 650 _c
169 644 135 635 98 623 _c
98 711 _l
135 721 170 729 203 734 _c
235 739 266 742 296 742 _c
370 742 429 725 473 691 _c
517 657 539 611 539 553 _c
539 513 527 479 504 451 _c
481 423 448 403 406 393 _c
_cl}_e}_d
/four{636 0 49 0 580 729 _sc
378 643 _m
129 254 _l
378 254 _l
378 643 _l
352 729 _m
476 729 _l
476 254 _l
580 254 _l
580 172 _l
476 172 _l
476 0 _l
378 0 _l
378 172 _l
49 172 _l
49 267 _l
352 729 _l
_cl}_d
/five{{636 0 77 -13 549 729 _sc
108 729 _m
495 729 _l
495 646 _l
198 646 _l
198 467 _l
212 472 227 476 241 478 _c
255 480 270 482 284 482 _c
365 482 429 459 477 415 _c
525 370 549 310 549 234 _c
549 155 524 94 475 51 _c
426 8 357 -13 269 -13 _c
238 -13 207 -10 175 -6 _c
143 -1 111 6 77 17 _c
77 116 _l
106 100 136 88 168 80 _c
199 72 232 69 267 69 _c
}_e{323 69 368 83 401 113 _c
433 143 450 183 450 234 _c
450 284 433 324 401 354 _c
368 384 323 399 267 399 _c
241 399 214 396 188 390 _c
162 384 135 375 108 363 _c
108 729 _l
_cl}_e}_d
/six{{636 0 70 -13 573 742 _sc
330 404 _m
286 404 251 388 225 358 _c
199 328 186 286 186 234 _c
186 181 199 139 225 109 _c
251 79 286 64 330 64 _c
374 64 409 79 435 109 _c
461 139 474 181 474 234 _c
474 286 461 328 435 358 _c
409 388 374 404 330 404 _c
526 713 _m
526 623 _l
501 635 476 644 451 650 _c
425 656 400 659 376 659 _c
310 659 260 637 226 593 _c
}_e{192 549 172 482 168 394 _c
187 422 211 444 240 459 _c
269 474 301 482 336 482 _c
409 482 467 459 509 415 _c
551 371 573 310 573 234 _c
573 159 550 99 506 54 _c
462 9 403 -13 330 -13 _c
246 -13 181 19 137 83 _c
92 147 70 241 70 364 _c
70 479 97 571 152 639 _c
206 707 280 742 372 742 _c
396 742 421 739 447 735 _c
472 730 498 723 526 713 _c
_cl}_e}_d
/eight{{636 0 68 -13 568 742 _sc
318 346 _m
271 346 234 333 207 308 _c
180 283 167 249 167 205 _c
167 161 180 126 207 101 _c
234 76 271 64 318 64 _c
364 64 401 76 428 102 _c
455 127 469 161 469 205 _c
469 249 455 283 429 308 _c
402 333 365 346 318 346 _c
219 388 _m
177 398 144 418 120 447 _c
96 476 85 511 85 553 _c
85 611 105 657 147 691 _c
188 725 245 742 318 742 _c
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showpage
``` | /content/code_sandbox/images/multiple_eta.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 13,266 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
inputlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=40mm},
hiddenlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=30mm},
poolinglayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=25mm},
neuron/.style={circle,draw,inner sep=0pt,minimum size=6mm}
]
\node (input) [inputlayer,anchor=south west] at (0,0) {};
\node (hidden0) [hiddenlayer,anchor=south west] at (4.8,0) {};
\node (hidden1) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden0.south west) {};
\node (hidden2) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden1.south west) {};
\foreach \x in {0,1,2}
\node (pooling\x) [poolinglayer,anchor=west,right=1.8 of hidden\x] {};
\node [above] at (input.north) {$28 \times 28$ input neurons};
\node [above,xshift=-5mm] at (hidden2.north) {
$3 \times 24 \times 24$ neurons
};
\node [above,xshift=-5mm] at (pooling2.north) {
$3 \times 12 \times 12$ neurons
};
\foreach \x in {0,...,9}
\node(n\x) [neuron] at (14.2, 0.75 * \x - 1.375) {};
\foreach \x in {0,...,2}
\draw[->] (input) to (hidden\x);
\draw[dashed] (hidden0.east) -- ++(10mm,0);
\draw[->] (hidden0.east)++(10mm,0) -- (pooling0.west);
\draw[dashed] (hidden1.east) -- ++(5mm,0);
\draw[->] (hidden1.east)++(5mm,0) -- (pooling1.west);
\draw[->] (hidden2) to (pooling2);
\draw[->] (pooling1.east)++(5mm,0) -- ++(0.75,0);
\draw[->] (pooling1.east)++(1.9,0) -- ++(0.5,0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz49.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 664 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m0] {};
\node(r2) [neuron,right=1.5 of m3] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\coordinate (rc) at ($(r0)!0.5!(r2)$);
\node(r1) at (rc) [neuron] {};
\foreach \x in {0,1,2}
\node(tl\x) [left=0.1 of l\x] {$\ldots$};
\foreach \x in {0,1,2}
\node(tr\x) [right=0.1 of r\x] {$\ldots$};
\node (n0) [neuron,right=5 of m1] {};
\node (n1) [neuron,right=5 of m2] {};
\coordinate (nc) at ($(n0)!0.5!(n1)$);
\node (c) [right=1.5 of nc] {$C$};
\node(tn0) [left=0.1 of n0] {$\ldots$};
\node(tn1) [left=0.1 of n1] {$\ldots$};
% connections:
\foreach \x in {0,1,2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1,2}
\draw[->] (m\x) to (r\y);
\draw[->] (n0) to (c);
\draw[->] (n1) to (c);
% mark:
\coordinate (p) at ($(l1)!0.5!(m3)$);
\draw[->,very thick,blue] (p) to (m3);
\node(t) [blue,above=0.1 of m3] {$\Delta a^l_j$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz23.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 697 |
```postscript
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clip
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%%Creator: Converted from TrueType to type 3 by PPR
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showpage
``` | /content/code_sandbox/images/training_speed_2_layers.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 18,269 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\draw[->] (-5,0) -- (5,0) node [right] {$z$};
\draw[->] (0,0) -- (0,4) node [above] {$s(z)$};
\draw[orange,thick,domain=-5:5,samples=301,yscale=4] plot (\x, {(1/(1 + exp(-\x))) + 0.2 * sin(10 * deg(\x)) * exp(-abs(\x))});
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/sigmoid_like.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 184 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=5mm},
font=\footnotesize
]
% leftmost layer:
\foreach \y in {1,...,8}
\node (l\y) at (-4, 7.5 / 1.25 - 4 / 1.25 + \y / 1.25) [circle,draw] {};
% hidden layer:
\foreach \y in {1,...,15}
\node (m\y) at (0, \y / 1.25) [circle,draw] {};
% output layer:
\foreach \y in {1,...,10}
\node (r\y) at (4, 7.5 / 1.25 - 5 / 1.25 + \y / 1.25) [circle,draw] {};
\foreach \y in {1,...,10}
\node (o\y) [right=of r\y] {$\number \numexpr 10 -\y \relax$};
\begin{scope}[node distance=2mm]
\node (text1) [above=of m15] {
\begin{tabular}{c}
hidden layer \\
($n = 15$ neurons)
\end{tabular}
};
\node (text2) [above=of r10] {
output layer
};
\end{scope}
% draw brace:
\draw[decorate,decoration={brace,mirror}] ([xshift=-5mm]l8.west) -- ([xshift=-5mm]l1.west) node [midway,xshift=-12.5mm] {
\begin{tabular}{c}
input layer \\
($784$ neurons)
\end{tabular}
};
% connections:
\foreach \x in {1,...,8}
\foreach \y in {1,...,15}
\draw [->] (l\x) to (m\y);
\foreach \x in {1,...,15}
\foreach \y in {1,...,10}
\draw [->] (m\x) to (r\y);
\foreach \x in {1,...,10}
\draw [->] (r\x) to (o\x);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz12.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 602 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\foreach \y in {0,...,4}
\node (m\y) [neuron] at (0, \y * 1.5) {};
\node (l0) [neuron,left=of m1] {$x_3$};
\node (l1) [neuron,left=of m2] {$x_2$};
\node (l2) [neuron,left=of m3] {$x_1$};
\node (r0) [neuron,right=of m1,yshift=0.75cm] {};
\node (r1) [neuron,right=of m3,yshift=-0.75cm] {};
\foreach \x in {0,1,2}
\foreach \y in {0,...,4}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,4}
\foreach \y in {0,1}
\draw[->] (m\x) to (r\y);
\draw[->] (r0) -- ++(1,0) node [right] {$f^2(x_1,x_2,x_3)$};
\draw[->] (r1) -- ++(1,0) node [right] {$f^1(x_1,x_2,x_3)$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/vector_valued_network.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 405 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\begin{document}
\begin{tikzpicture}[
tick/.style={font=\footnotesize}
]
\draw (-5,0) -- (5,0);
\foreach \x in {-4, -3, -2, -1, 0, 1, 2, 3, 4}
\draw (\x, 0) -- (\x, -0.1) node[tick,below]{$\x$};
\draw (-5, 0) -- (-5, -0.1);
\draw (5, 0) -- (5, -0.1);
\draw (-5,0) -- (-5,5);
\foreach \y in {0.0, 0.2, 0.4, 0.6, 0.8, 1.0}
\draw (-5, \y * 5) -- (-5-0.1, \y * 5) node[tick,left]{$\y$};
\draw (0, -0.5) node[below] {Z};
\draw (0, 5) node[above] {sigmoid function};
\draw[blue,thick,domain=-5:5,samples=101] plot (\x, {5 * (1/(1 + exp(-\x)))});
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/sigmoid_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 351 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage[default]{cjkfonts}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {$b_3^2$};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m1] {};
\node(r1) [neuron,right=1.5 of m2] {$a_1^3$};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\node(tl) [above=0.1 of l2] {layer 1};
\node(tm) [above=0.1 of m3] {layer 2};
% calculate the right position to put the second equation label.
\newdimen\posx
\newdimen\posy
\pgfextractx{\posx}{\pgfpointanchor{r1}{center}}
\pgfextracty{\posy}{\pgfpointanchor{tm}{center}}
\node(tr) at (\posx,\posy) {layer 3};
% connections:
\foreach \x in {0, 1, 2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1}
\draw[->] (m\x) to (r\y);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz17.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 535 |
```tex
% cjkfonts.sty
%
% A XeLaTeX package for typesetting CJK documents.
%
% Options:
% default: boolean option, cjkfonts is set as the default font family and as the sans serif family for CJK text.
% Identification
% ==============
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{cjkfonts}[2015/12/12 A simple XeLaTeX package to set CJK fonts]
% Required Packages
% =================
\RequirePackage{ifthen}
\RequirePackage{xeCJK}
% Set key-value options
\RequirePackage{kvoptions}
\DeclareBoolOption[false]{default}
\ProcessKeyvalOptions*
%% Configuration for parindent
%% ===========================
\def\elegant@CJKChar@size{\hskip \f@size \p@}
\newdimen\elegant@CJKChar@size@dimen
\settowidth\elegant@CJKChar@size@dimen{\elegant@CJKChar@size\CJKglue}
\setlength{\parindent}{2\elegant@CJKChar@size@dimen}
%% Configuration for fonts
%% =======================
\newCJKfontfamily[NotoSansSC]\NotoSansSC[
UprightFont=NotoSansCJKsc-Light,
BoldFont=NotoSansCJKsc-Bold,
ItalicFont=NotoSansCJKsc-Light,
BoldItalicFont=NotoSansCJKsc-Bold,
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSansSC}
\newCJKfontfamily[NotoSansMonoSC]\NotoSansMonoSC[
UprightFont=NotoSansMonoCJKsc-Regular,
BoldFont=NotoSansMonoCJKsc-Bold,
ItalicFont=NotoSansMonoCJKsc-Regular,
BoldItalicFont=NotoSansMonoCJKsc-Bold,
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSansMonoSC}
\newCJKfontfamily[NotoSansSCThin]\NotoSansSCThin[
UprightFont=NotoSansCJKsc-Thin,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCLight]\NotoSansSCLight[
UprightFont=NotoSansCJKsc-Light,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCDemiLight]\NotoSansSCDemiLight[
UprightFont=NotoSansCJKsc-DemiLight,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCRegular]\NotoSansSCRegular[
UprightFont=NotoSansCJKsc-Regular,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCMedium]\NotoSansSCMedium[
UprightFont=NotoSansCJKsc-Medium,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCBold]\NotoSansSCBold[
UprightFont=NotoSansCJKsc-Bold,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansSCBlack]\NotoSansSCBlack[
UprightFont=NotoSansCJKsc-Black,
AutoFakeSlant=true]{NotoSansSC}
\newCJKfontfamily[NotoSansMonoSCRegular]\NotoSansMonoSCRegular[
UprightFont=NotoSansMonoCJKsc-Regular,
AutoFakeSlant=true]{NotoSansMonoSCRegular}
\newCJKfontfamily[NotoSansMonoSCBold]\NotoSansMonoSCBold[
UprightFont=NotoSansMonoCJKsc-Bold,
AutoFakeSlant=true]{NotoSansMonoSCBold}
\newCJKfontfamily[NotoSerifSC]\NotoSerifSC[
UprightFont=NotoSerifCJKsc-Light,
BoldFont=NotoSerifCJKsc-Bold,
ItalicFont=NotoSerifCJKsc-Light,
BoldItalicFont=NotoSerifCJKsc-Bold,
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCThin]\NotoSerifSCThin[
UprightFont=NotoSerifCJKsc-Thin,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCLight]\NotoSerifSCLight[
UprightFont=NotoSerifCJKsc-Light,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCDemiLight]\NotoSerifSCDemiLight[
UprightFont=NotoSerifCJKsc-DemiLight,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCRegular]\NotoSerifSCRegular[
UprightFont=NotoSerifCJKsc-Regular,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCMedium]\NotoSerifSCMedium[
UprightFont=NotoSerifCJKsc-Medium,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCBold]\NotoSerifSCBold[
UprightFont=NotoSerifCJKsc-Bold,
AutoFakeSlant=true]{NotoSerifSC}
\newCJKfontfamily[NotoSerifSCBlack]\NotoSerifSCBlack[
UprightFont=NotoSerifCJKsc-Black,
AutoFakeSlant=true]{NotoSerifSC}
\ifthenelse{\boolean{cjkfonts@default}}{
\setCJKmainfont[
UprightFont={NotoSerifCJKsc-Light},
BoldFont={NotoSerifCJKsc-Bold},
ItalicFont={NotoSerifCJKsc-Light},
BoldItalicFont={NotoSerifCJKsc-Bold},
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSerifSC}
\setCJKsansfont[
UprightFont={NotoSansCJKsc-Light},
BoldFont={NotoSansCJKsc-Bold},
ItalicFont={NotoSansCJKsc-Light},
BoldItalicFont={NotoSansCJKsc-Bold},
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSansSC}
\setCJKmonofont[
UprightFont={NotoSansCJKsc-Light},
BoldFont={NotoSansCJKsc-Bold},
ItalicFont={NotoSansCJKsc-Light},
BoldItalicFont={NotoSansCJKsc-Bold},
ItalicFeatures=FakeSlant,
BoldItalicFeatures=FakeSlant]{NotoSansMonoSC}
}{}
%% This must be the last command
\endinput
``` | /content/code_sandbox/images/cjkfonts.sty | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 1,527 |
```postscript
%!PS-Adobe-3.0 EPSF-3.0
%%Title: /home/zhanggyb/more_data2.eps
%%Creator: matplotlib version 1.3.1, path_to_url
%%CreationDate: Thu Feb 18 08:56:14 2016
%%Orientation: portrait
%%BoundingBox: 13 175 598 616
%%EndComments
%%BeginProlog
/mpldict 8 dict def
mpldict begin
/m { moveto } bind def
/l { lineto } bind def
/r { rlineto } bind def
/c { curveto } bind def
/cl { closepath } bind def
/box {
m
1 index 0 r
0 exch r
neg 0 r
cl
} bind def
/clipbox {
box
clip
newpath
} bind def
%!PS-Adobe-3.0 Resource-Font
%%Title: DejaVu Sans
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
/_d{bind def}bind def
/_m{moveto}_d
/_l{lineto}_d
/_cl{closepath eofill}_d
/_c{curveto}_d
/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
/_e{exec}_d
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix[.001 0 0 .001 0 0]def
/FontBBox[-1021 -415 1681 1167]def
/FontType 3 def
/Encoding [ /space /percent /parenleft /parenright /zero /one /two /three /four /five /six /seven /eight /nine /A /T /a /c /d /e /g /h /i /l /n /o /r /s /t /u /v /y /z ] def
/FontInfo 10 dict dup begin
/FamilyName (DejaVu Sans) def
/FullName (DejaVu Sans) def
/Weight (Book) def
/Version (Version 2.34) def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -130 def
/UnderlineThickness 90 def
end readonly def
/CharStrings 33 dict dup begin
/space{318 0 0 0 0 0 _sc
}_d
/percent{{950 0 55 -13 895 742 _sc
727 321 _m
699 321 676 309 660 285 _c
644 261 636 227 636 184 _c
636 142 644 108 660 84 _c
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809 108 817 142 817 184 _c
817 226 809 260 793 284 _c
777 308 755 321 727 321 _c
727 383 _m
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879 293 895 244 895 184 _c
895 123 879 75 849 40 _c
819 4 778 -13 727 -13 _c
}_e{675 -13 633 4 603 40 _c
573 75 558 123 558 184 _c
558 245 573 293 603 329 _c
633 365 675 383 727 383 _c
223 680 _m
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141 619 133 586 133 544 _c
133 500 141 467 157 443 _c
173 419 195 407 223 407 _c
251 407 274 419 290 443 _c
306 467 314 500 314 544 _c
314 586 305 619 289 643 _c
273 667 251 680 223 680 _c
664 742 _m
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286 -13 _l
}_e{208 -13 _l
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392 482 376 434 346 398 _c
316 362 275 345 223 345 _c
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_cl}_e}_d
/parenleft{390 0 86 -131 310 759 _sc
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181 238 191 164 213 91 _c
234 17 266 -56 310 -131 _c
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86 386 98 459 122 533 _c
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_cl}_d
/parenright{390 0 80 -131 304 759 _sc
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291 459 304 386 304 314 _c
304 241 291 168 267 94 _c
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80 -131 _l
123 -56 155 17 177 91 _c
198 164 209 238 209 314 _c
209 389 198 463 177 536 _c
155 609 123 683 80 759 _c
_cl}_d
/zero{636 0 66 -13 570 742 _sc
318 664 _m
267 664 229 639 203 589 _c
177 539 165 464 165 364 _c
165 264 177 189 203 139 _c
229 89 267 64 318 64 _c
369 64 407 89 433 139 _c
458 189 471 264 471 364 _c
471 464 458 539 433 589 _c
407 639 369 664 318 664 _c
318 742 _m
399 742 461 709 505 645 _c
548 580 570 486 570 364 _c
570 241 548 147 505 83 _c
461 19 399 -13 318 -13 _c
236 -13 173 19 130 83 _c
87 147 66 241 66 364 _c
66 486 87 580 130 645 _c
173 709 236 742 318 742 _c
_cl}_d
/one{636 0 110 0 544 729 _sc
124 83 _m
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110 694 _l
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544 0 _l
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_cl}_d
/two{{636 0 73 0 536 742 _sc
192 83 _m
536 83 _l
536 0 _l
73 0 _l
73 83 _l
110 121 161 173 226 239 _c
290 304 331 346 348 365 _c
380 400 402 430 414 455 _c
426 479 433 504 433 528 _c
433 566 419 598 392 622 _c
365 646 330 659 286 659 _c
255 659 222 653 188 643 _c
154 632 117 616 78 594 _c
78 694 _l
118 710 155 722 189 730 _c
223 738 255 742 284 742 _c
}_e{359 742 419 723 464 685 _c
509 647 532 597 532 534 _c
532 504 526 475 515 449 _c
504 422 484 390 454 354 _c
446 344 420 317 376 272 _c
332 227 271 164 192 83 _c
_cl}_e}_d
/three{{636 0 76 -13 556 742 _sc
406 393 _m
453 383 490 362 516 330 _c
542 298 556 258 556 212 _c
556 140 531 84 482 45 _c
432 6 362 -13 271 -13 _c
240 -13 208 -10 176 -4 _c
144 1 110 10 76 22 _c
76 117 _l
103 101 133 89 166 81 _c
198 73 232 69 268 69 _c
330 69 377 81 409 105 _c
441 129 458 165 458 212 _c
458 254 443 288 413 312 _c
383 336 341 349 287 349 _c
}_e{202 349 _l
202 430 _l
291 430 _l
339 430 376 439 402 459 _c
428 478 441 506 441 543 _c
441 580 427 609 401 629 _c
374 649 336 659 287 659 _c
260 659 231 656 200 650 _c
169 644 135 635 98 623 _c
98 711 _l
135 721 170 729 203 734 _c
235 739 266 742 296 742 _c
370 742 429 725 473 691 _c
517 657 539 611 539 553 _c
539 513 527 479 504 451 _c
481 423 448 403 406 393 _c
_cl}_e}_d
/four{636 0 49 0 580 729 _sc
378 643 _m
129 254 _l
378 254 _l
378 643 _l
352 729 _m
476 729 _l
476 254 _l
580 254 _l
580 172 _l
476 172 _l
476 0 _l
378 0 _l
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49 172 _l
49 267 _l
352 729 _l
_cl}_d
/five{{636 0 77 -13 549 729 _sc
108 729 _m
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198 646 _l
198 467 _l
212 472 227 476 241 478 _c
255 480 270 482 284 482 _c
365 482 429 459 477 415 _c
525 370 549 310 549 234 _c
549 155 524 94 475 51 _c
426 8 357 -13 269 -13 _c
238 -13 207 -10 175 -6 _c
143 -1 111 6 77 17 _c
77 116 _l
106 100 136 88 168 80 _c
199 72 232 69 267 69 _c
}_e{323 69 368 83 401 113 _c
433 143 450 183 450 234 _c
450 284 433 324 401 354 _c
368 384 323 399 267 399 _c
241 399 214 396 188 390 _c
162 384 135 375 108 363 _c
108 729 _l
_cl}_e}_d
/six{{636 0 70 -13 573 742 _sc
330 404 _m
286 404 251 388 225 358 _c
199 328 186 286 186 234 _c
186 181 199 139 225 109 _c
251 79 286 64 330 64 _c
374 64 409 79 435 109 _c
461 139 474 181 474 234 _c
474 286 461 328 435 358 _c
409 388 374 404 330 404 _c
526 713 _m
526 623 _l
501 635 476 644 451 650 _c
425 656 400 659 376 659 _c
310 659 260 637 226 593 _c
}_e{192 549 172 482 168 394 _c
187 422 211 444 240 459 _c
269 474 301 482 336 482 _c
409 482 467 459 509 415 _c
551 371 573 310 573 234 _c
573 159 550 99 506 54 _c
462 9 403 -13 330 -13 _c
246 -13 181 19 137 83 _c
92 147 70 241 70 364 _c
70 479 97 571 152 639 _c
206 707 280 742 372 742 _c
396 742 421 739 447 735 _c
472 730 498 723 526 713 _c
_cl}_e}_d
/seven{636 0 82 0 551 729 _sc
82 729 _m
551 729 _l
551 687 _l
286 0 _l
183 0 _l
432 646 _l
82 646 _l
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_cl}_d
/eight{{636 0 68 -13 568 742 _sc
318 346 _m
271 346 234 333 207 308 _c
180 283 167 249 167 205 _c
167 161 180 126 207 101 _c
234 76 271 64 318 64 _c
364 64 401 76 428 102 _c
455 127 469 161 469 205 _c
469 249 455 283 429 308 _c
402 333 365 346 318 346 _c
219 388 _m
177 398 144 418 120 447 _c
96 476 85 511 85 553 _c
85 611 105 657 147 691 _c
188 725 245 742 318 742 _c
}_e{390 742 447 725 489 691 _c
530 657 551 611 551 553 _c
551 511 539 476 515 447 _c
491 418 459 398 417 388 _c
464 377 501 355 528 323 _c
554 291 568 251 568 205 _c
568 134 546 80 503 43 _c
459 5 398 -13 318 -13 _c
237 -13 175 5 132 43 _c
89 80 68 134 68 205 _c
68 251 81 291 108 323 _c
134 355 171 377 219 388 _c
183 544 _m
183 506 194 476 218 455 _c
}_e{242 434 275 424 318 424 _c
360 424 393 434 417 455 _c
441 476 453 506 453 544 _c
453 582 441 611 417 632 _c
393 653 360 664 318 664 _c
275 664 242 653 218 632 _c
194 611 183 582 183 544 _c
_cl}_e}_d
/nine{{636 0 63 -13 566 742 _sc
110 15 _m
110 105 _l
134 93 159 84 185 78 _c
210 72 235 69 260 69 _c
324 69 374 90 408 134 _c
442 178 462 244 468 334 _c
448 306 424 284 396 269 _c
367 254 335 247 300 247 _c
226 247 168 269 126 313 _c
84 357 63 417 63 494 _c
63 568 85 628 129 674 _c
173 719 232 742 306 742 _c
390 742 455 709 499 645 _c
543 580 566 486 566 364 _c
}_e{566 248 538 157 484 89 _c
429 21 356 -13 264 -13 _c
239 -13 214 -10 189 -6 _c
163 -2 137 5 110 15 _c
306 324 _m
350 324 385 339 411 369 _c
437 399 450 441 450 494 _c
450 546 437 588 411 618 _c
385 648 350 664 306 664 _c
262 664 227 648 201 618 _c
175 588 162 546 162 494 _c
162 441 175 399 201 369 _c
227 339 262 324 306 324 _c
_cl}_e}_d
/A{684 0 8 0 676 729 _sc
342 632 _m
208 269 _l
476 269 _l
342 632 _l
286 729 _m
398 729 _l
676 0 _l
573 0 _l
507 187 _l
178 187 _l
112 0 _l
8 0 _l
286 729 _l
_cl}_d
/T{611 0 -2 0 614 729 _sc
-2 729 _m
614 729 _l
614 646 _l
355 646 _l
355 0 _l
256 0 _l
256 646 _l
-2 646 _l
-2 729 _l
_cl}_d
/a{{613 0 60 -13 522 560 _sc
343 275 _m
270 275 220 266 192 250 _c
164 233 150 205 150 165 _c
150 133 160 107 181 89 _c
202 70 231 61 267 61 _c
317 61 357 78 387 114 _c
417 149 432 196 432 255 _c
432 275 _l
343 275 _l
522 312 _m
522 0 _l
432 0 _l
432 83 _l
411 49 385 25 355 10 _c
325 -5 287 -13 243 -13 _c
187 -13 142 2 109 33 _c
76 64 60 106 60 159 _c
}_e{60 220 80 266 122 298 _c
163 329 224 345 306 345 _c
432 345 _l
432 354 _l
432 395 418 427 391 450 _c
364 472 326 484 277 484 _c
245 484 215 480 185 472 _c
155 464 127 453 100 439 _c
100 522 _l
132 534 164 544 195 550 _c
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365 560 424 539 463 498 _c
502 457 522 395 522 312 _c
_cl}_e}_d
/c{{550 0 55 -13 488 560 _sc
488 526 _m
488 442 _l
462 456 437 466 411 473 _c
385 480 360 484 334 484 _c
276 484 230 465 198 428 _c
166 391 150 339 150 273 _c
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230 80 276 62 334 62 _c
360 62 385 65 411 72 _c
437 79 462 90 488 104 _c
488 21 _l
462 9 436 0 410 -5 _c
383 -10 354 -13 324 -13 _c
242 -13 176 12 128 64 _c
}_e{79 115 55 185 55 273 _c
55 362 79 432 128 483 _c
177 534 244 560 330 560 _c
358 560 385 557 411 551 _c
437 545 463 537 488 526 _c
_cl}_e}_d
/d{{635 0 55 -13 544 760 _sc
454 464 _m
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544 760 _l
544 0 _l
454 0 _l
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435 49 411 25 382 10 _c
353 -5 319 -13 279 -13 _c
213 -13 159 13 117 65 _c
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159 533 213 560 279 560 _c
319 560 353 552 382 536 _c
411 520 435 496 454 464 _c
148 273 _m
148 207 161 155 188 117 _c
215 79 253 61 301 61 _c
}_e{348 61 385 79 413 117 _c
440 155 454 207 454 273 _c
454 339 440 390 413 428 _c
385 466 348 485 301 485 _c
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161 390 148 339 148 273 _c
_cl}_e}_d
/e{{615 0 55 -13 562 560 _sc
562 296 _m
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}_e{540 441 562 377 562 296 _c
472 322 _m
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_cl}_e}_d
/g{{635 0 55 -207 544 560 _sc
454 280 _m
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260 -207 231 -204 203 -200 _c
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}_e{121 -91 _l
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}_e{544 68 _l
_cl}_e}_d
/h{634 0 91 0 549 760 _sc
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_cl}_d
/i{278 0 94 0 184 760 _sc
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_cl}_d
/l{278 0 94 0 184 760 _sc
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184 0 _l
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showpage
``` | /content/code_sandbox/images/more_data_log.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 15,915 |
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showpage
``` | /content/code_sandbox/images/overfitting2.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 13,933 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node (b0) [neuron] {};
\foreach \x in {1,...,4}
\node (b\x) [neuron] at (\x * 2, 0) {$b_{\x}$};
\draw[->] (b0) -- node [above] {$w_1$} (b1);
\draw[->] (b1) -- node [above] {$w_2$} (b2);
\draw[->] (b2) -- node [above] {$w_3$} (b3);
\draw[->] (b3) -- node [above] {$w_4$} (b4);
\draw[->] (b4) -- ++(1,0) node [right] {$C$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz37.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 282 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{2.0}{2.0}{0.15}{0}
\end{document}
``` | /content/code_sandbox/images/saturation2-0.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{0.6}{0.9}{0.005}{150}
\end{document}
``` | /content/code_sandbox/images/saturation3-150.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
%title={$x^2 + y^2$},
%3d box=complete,
grid=major,
axis background/.style={fill=blue!5},
xlabel=$v_1$,
ylabel=$v_2$,
zlabel=$C$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={-1,0,1},
ytick={-1,0,1},
ztick={0,1,2},
colormap={cool}{rgb255(0cm)=(255,0,255); rgb255(1cm)=(0,128,255); rgb255(2cm)=(255,255,255)}]
\addplot3[surf,domain=-1:1] {
x*x + y*y
};
\addplot3[mark=ball,mark size=5pt] coordinates {
(-0.8, 0.75, 1.2025)
};
\draw[->,thick,green] (axis cs:-0.8,0.75,1.2025) -- (axis cs:-0.6, 0.6, 0.72);
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/valley_with_ball.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 349 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm}
]
% leftmost neutrons:
\node (pl1) at (-2.25, 1.25) [neuron] {};
\node (pl2) at (-2.25, 0) [neuron] {};
\node (pl3) at (-2.25, -1.25) [neuron] {};
% middle neutrons:
\node (pm1) at (0, 1.875) [neuron] {};
\node (pm2) at (0, 0.625) [neuron] {};
\node (pm3) at (0, -0.625) [neuron] {};
\node (pm4) at (0, -1.875) [neuron] {};
% rightmost neutron:
\node (pr) at (2.25, 0) [neuron] {};
% output:
\node (output) at (4.5, 0) {\ output};
% connect nodes:
\draw [->] (pl1) to (pm1);
\draw [->] (pl1) to (pm2);
\draw [->] (pl1) to (pm3);
\draw [->] (pl1) to (pm4);
\draw [->] (pl2) to (pm1);
\draw [->] (pl2) to (pm2);
\draw [->] (pl2) to (pm3);
\draw [->] (pl2) to (pm4);
\draw [->] (pl3) to (pm1);
\draw [->] (pl3) to (pm2);
\draw [->] (pl3) to (pm3);
\draw [->] (pl3) to (pm4);
\draw [->] (pm1) to (pr);
\draw [->] (pm2) to (pr);
\draw [->] (pm3) to (pr);
\draw [->] (pm4) to (pr);
\draw [->] (pr) to (output);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz10.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 554 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{2.0}{2.0}{0.005}{150}
\end{document}
``` | /content/code_sandbox/images/saturation4-150.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
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showpage
``` | /content/code_sandbox/images/overfitting1.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 11,951 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateTwoHNNetwork{0.4}{0.6}{0.6}{1.2}
\end{document}
``` | /content/code_sandbox/images/two_hn_network.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 106 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{0.6}{0.9}{0.15}{0}
\end{document}
``` | /content/code_sandbox/images/saturation1-0.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=1.6mm}
]
\foreach \x in {0,...,27}
\foreach \y in {0,...,27}
\node (x\x y\y) [neuron,gray] at (\x * 0.25,\y * 0.25) {};
\node [above] at (3.5,7) {input neurons};
\node(hidden) [neuron,orange,thick,right=2 of x27y12] {};
\node [above=0.2 of hidden] {hidden neuron};
\foreach \x in {21,22,...,25}
\foreach \y in {10,11,...,14}
{\node (a\x b\y) [neuron,orange,thick] at (\x * 0.25,\y * 0.25) {};
\draw[->,orange] (a\x b\y) to (hidden);
}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz43.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 298 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage[default]{cjkfonts}
\input{../westernfonts}
\input{../plots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xlabel={\normalsize $x$},
axis lines=left,
tick label style={font=\tiny},
label style={font=\tiny},
title style={font=\scriptsize},
legend style={font=\tiny},
xtick distance=1,
ytick distance=1,
xtick={0,1},
ytick={1},
xmax=1.05,
ymax=1.05,
legend entries={$w=6,b=-3$\\$w=25,b=-3$\\$w=50,b=-3$\\$w=100,b=-3$\\},
legend style={
at={(0.8,0.5)},
anchor=west
},
title={},
declare function={
f(\x,\w,\b) = 1/(1 + exp(-(\w * \x + (\b)))) + 0.2 * sin(10 * deg(\w * \x + (\b))) * exp(-abs(\w * \x + (\b)));
}
]
\addplot[
gray,
thick,
dotted,
domain=0:1,
samples=201
] {
f(x, 6, -3)
};
\addplot[
orange!40!gray,
domain=0:1,
samples=401
] {
f(x, 25, -3)
};
\addplot[
orange!80,
domain=0:1,
samples=401
] {
f(x, 50, -3)
};
\addplot[
orange,
thick,
domain=0:1,
samples=401
] {
f(x, 100, -3)
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/create_ramping.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 502 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
inputlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=40mm},
hiddenlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=30mm},
poolinglayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=25mm}
]
\node (input) [inputlayer,anchor=south west] at (0,0) {};
\node (hidden0) [hiddenlayer,anchor=south west] at (4.8,0) {};
\node (hidden1) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden0.south west) {};
\node (hidden2) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden1.south west) {};
\foreach \x in {0,1,2}
\node (pooling\x) [poolinglayer,anchor=west,right=1.8 of hidden\x] {};
\node [above] at (input.north) {$28 \times 28$ input neurons};
\node [above,xshift=-5mm] at (hidden2.north) {
$3 \times 24 \times 24$ neurons
};
\node [above,xshift=-5mm] at (pooling2.north) {
$3 \times 12 \times 12$ neurons
};
\foreach \x in {0,...,2}
\draw[->] (input) to (hidden\x);
\draw[dashed] (hidden0.east) -- ++(10mm,0);
\draw[->] (hidden0.east)++(10mm,0) -- (pooling0.west);
\draw[dashed] (hidden1.east) -- ++(5mm,0);
\draw[->] (hidden1.east)++(5mm,0) -- (pooling1.west);
\draw[->] (hidden2) to (pooling2);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz48.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 541 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2}, % big number to disable
title={Many towers},
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)},
declare function={
g(\z)=floor(\z * 4.999);
f(\x,\y)=(g(\x)*g(\x) + g(\y) * g(\y))/50;
}]
\addplot3[surf,domain=0:1] {
f(x,y)
};
\end{axis}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/many_towers_2.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 297 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=6mm},
font=\footnotesize
]
% input layer:
\foreach \y in {0,...,5}
\node(i\y) at (0, \y * 0.9 + 1.35) [neuron] {};
% hidden layer:
\foreach \y in {0,...,8}
\node(h\y) at (3, \y * 0.9) [neuron] {};
% output layer:
\foreach \y in {0,...,3}
\node(o\y) at (6, \y * 0.9 + 2.25) [neuron] {};
% connections
\foreach \x in {0,...,5}
\foreach \y in {0,...,8}
\draw[->] (i\x) to (h\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,3}
\draw[->] (h\x) to (o\y);
\foreach \y in {0,...,3}
\draw[->] (o\y) -- ++(1.5,0);
\node [above=0.25 of i5] {input layer};
\node [above=0.25 of h8] {hidden layer};
\node [above=0.25 of o3] {output layer};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz35.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 406 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\crossEntropyCostLearning{2.0}{2.0}{0.005}{300}
\end{document}
``` | /content/code_sandbox/images/saturation4-300.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{math}
\begin{document}
\begin{tikzpicture}[
tick/.style={font=\scriptsize}
]
\draw[->] (0,0) -- (5,0) node [right] {$x$};
\draw[->] (0,0) -- (0,5) node [left] { };
\node[above] at (2.5,5) {$f(x)$};
\tikzmath{
% See function sampleFunction(id) in path_to_url
function f(\x) {
return 0.2+0.4*\x*\x+0.3*\x*sin(15*180*\x/pi)+0.05*cos(50*180*\x/pi);
};
{\draw[blue,domain=0:1,samples=101,xscale=5,yscale=5] plot (\x, {f(\x)});};
}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 259 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,math}
\input{../plots}
\begin{document}
\manipulateSoftmaxBars{2.5}{-1}{3.2}{5}
\end{document}
``` | /content/code_sandbox/images/softmax-2.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 86 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{2.0}{2.0}{0.15}{300}
\end{document}
``` | /content/code_sandbox/images/saturation2-300.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node (b0) [neuron] {};
\foreach \x in {1,...,4}
\node (b\x) [neuron] at (\x * 2, 0) {$b_{\x}$};
\draw[->] (b0) -- node [above] {} (b1);
\draw[->] (b1) -- node [above] {$w_2$} (b2);
\draw[->] (b2) -- node [above] {$w_3$} (b3);
\draw[->] (b3) -- node [above] {$w_4$} (b4);
\draw[->] (b4) -- ++(1,0) node (c) [right] {$C$};
\node[above=1,anchor=east] at (c.east) {
$\frac{\partial C}{\partial b_1} = \sigma'(z_1) \times w_2 \times \sigma'(z_2) \times w_3 \times \sigma'(z_3) \times w_4 \times \sigma'(z_4) \times \frac{\partial C}{\partial a_4}$
};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz38.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 379 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage[default]{cjkfonts}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis lines=left,
xscale=1.5,
% xlabel=$Z$,
xtick distance=1,
ytick distance=0.05,
xtick={-4,-3,-2,-1,0,1,2,3,4},
ytick={0.00,0.05,0.10,0.15,0.20,0.25},
% xmax=5.1,
ymax=0.255,
% title={S },
declare function={
sigmoid(\x) = 1 / (1 + exp(-\x));
f(\x) = sigmoid(\x) * (1 - sigmoid(\x));
}
]
\addplot[
blue,
thick,
domain=-5:5,
samples=201
] {
f(x)
};
\end{axis}
\node [above] at (5, 6) {S };
\node at (5, -1) {$Z$};
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/sigmoid_prime_graph.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 321 |
```postscript
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%%Creator: matplotlib version 1.3.1, path_to_url
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m
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0 exch r
neg 0 r
cl
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/clipbox {
box
clip
newpath
} bind def
%!PS-Adobe-3.0 Resource-Font
%%Title: DejaVu Sans
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
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/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
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/FontInfo 10 dict dup begin
/FamilyName (DejaVu Sans) def
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showpage
``` | /content/code_sandbox/images/weight_initialization_30.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 13,860 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{scope}
\node(n) [neuron] {};
\node(h0) [neuron,left=of n,yshift=1.2cm] {};
\node(h1) [neuron,above] at (h0.north) {};
\node(h2) [neuron,left=of n,yshift=-1.2cm] {};
\node(h3) [neuron,below] at (h2.south) {};
\node(x) [neuron,left=of h0,yshift=5mm] {$x$};
\node(y) [neuron,left=of h2,yshift=-5mm] {$y$};
\draw[->] (x) to (h0);
\draw[->] (x) to (h1);
\draw[->] (y) to (h2);
\draw[->] (y) to (h3);
\node (s0) at (h0.center) {$0.60$};
\node at (s0.north) {\tiny $x$};
\node (s1) at (h1.center) {$0.40$};
\node at (s1.north) {\tiny $x$};
\node (s2) at (h2.center) {$0.30$};
\node at (s2.north) {\tiny $y$};
\node (s3) at (h3.center) {$0.70$};
\node at (s3.north) {\tiny $y$};
\node [blue,right=5mm of h1] {$h = 0.30$};
\draw[->] (h0) -- node [yshift=-2mm] {\scriptsize $-0.30$} (n);
\draw[->] (h1) -- node [yshift=2mm] {\scriptsize $0.30$} (n);
\draw[->] (h2) -- node [yshift=2mm] {\scriptsize $0.30$} (n);
\draw[->] (h3) -- node [yshift=-2mm] {\scriptsize $-0.30$} (n);
\draw[->] (n) -- ++(1cm, 0);
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2.5cm]
% FIXME: rotate the zlabel, change plot color, and move z axis to right
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2},
zmin=0,
zmax=1,
title=Output,
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)},
declare function={
sigma(\z)=1/(1 + exp(-\z));
f(\x,\y)=0.3 * (sigma(1000 * (\x - 0.4)) - sigma(1000 * (\x - 0.6))) + 0.3 * (sigma(1000 * (\y - 0.3)) - sigma(1000 * (\y - 0.7)));
% f(x,y) = h * (sigma(1000 * (x - s1)) - sigma(1000 * (x - s2))) + h * (sigma(1000 * (y - s3)) - sigma(1000 * (y - s4)));
}]
\addplot3[surf,domain=0:1] {
f(x,y)
};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/xy_bump.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 974 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\input{../plots}
\begin{document}
\manipulateTowerConstruction{0.30}{-0.5}
\end{document}
``` | /content/code_sandbox/images/tower_construction.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 86 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\node (perceptron) at (0, 0) [neuron] {};
\node (output) at (2.25, 0) {\ output};
\node (x1) at (-2.25, 1) {$x_1$};
\node (x2) at (-2.25, 0) {$x_2$};
\node (x3) at (-2.25, -1) {$x_3$};
\draw [->] (x1) to (perceptron);
\draw [->] (x2) to (perceptron);
\draw [->] (x3) to (perceptron);
\draw [->] (perceptron) to (output);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz9.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 255 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm}
]
% left layers:
\foreach \y in {0,...,2}
\node (l\y) at (0, \y * 1.875 + 2 * 1.25) [neuron] {};
% middle layers:
\foreach \y in {0,...,5}
\node (m\y) at (2.25, \y * 1.25 + 1 * 1.25) [neuron] {};
% right layer:
\node (r0) at (4.5, 5) [neuron] {};
\node (r1) at (4.5, 3.75) [neuron] {};
% connections:
\foreach \x in {0,...,2}
\foreach \y in {0,...,5}
\draw [->] (l\x) to (m\y);
\foreach \x in {0,...,5}
\foreach \y in {0,1}
\draw [->] (m\x) to (r\y);
\draw[->] (r0) -- ++(1,0);
\draw[->] (r1) -- ++(1,0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz30.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 369 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=6mm}
]
\foreach \y in {0,...,7}
\node(i\y) [neuron] at (0,\y * 0.9 + 0.45) {};
\foreach \y in {0,...,8}
\node(h1\y) [neuron] at (3,\y * 0.9) {};
\foreach \y in {0,...,8}
\node(h2\y) [neuron] at (6,\y * 0.9) {};
\foreach \y in {0,...,8}
\node(h3\y) [neuron] at (9,\y * 0.9) {};
\foreach \y in {0,...,3}
\node(o\y) [neuron] at (12,\y * 0.9 + 2.25) {};
\node [above=0.5 of i7] {input layer};
\node [above=0.5 of h18] {hidden layer 1};
\node [above=0.5 of h28] {hidden layer 2};
\node [above=0.5 of h38] {hidden layer 3};
\node [above=0.5 of o3] {output layer};
\foreach \x in {0,...,7}
\foreach \y in {0,...,8}
\draw[->] (i\x) to (h1\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,8}
\draw[->] (h1\x) to (h2\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,8}
\draw[->] (h2\x) to (h3\y);
\foreach \x in {0,...,8}
\foreach \y in {0,...,3}
\draw[->] (h3\x) to (o\y);
\foreach \y in {0,...,3}
\draw[->] (o\y) -- ++(1,0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz40.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 572 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds,math}
\input{../plots}
\begin{document}
\quadraticCostLearning{0.6}{0.9}{0.15}{150}
\end{document}
``` | /content/code_sandbox/images/saturation1-150.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 94 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\node (l0) [neuron] {$x$};
\node (m0) [neuron,right=of l0,yshift=-1.5cm] {};
\node (m1) [neuron,right=of l0,yshift=1.5cm] {};
\node (r0) [neuron,right=of m0,yshift=1.5cm] {};
\draw[->] (r0) -- ++(1,0);
\draw[->] (l0) to (m0);
\draw[->] (l0) to (m1);
\draw[->] (m0) to (r0);
\draw[->] (m1) to (r0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/two_hidden_neurons.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 265 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{scope}
\node(n) [neuron] {};
\node(h0) [neuron,left=of n,yshift=1.5cm] {};
\node(h1) [neuron,left=of n,yshift=-1.5cm] {};
\node(x) [neuron,left=of h0] {$x$};
\node(y) [neuron,left=of h1] {$y$};
\draw[->] (x) to (h0);
\draw[->] (x) to (h1);
\draw[->] (y) to (h0);
\draw[->] (y) to (h1);
\node (s0) [blue] at (h0.center) {$0.30$};
\node at (s0.north) {\tiny $y$};
\node (s1) [blue] at (h1.center) {$0.70$};
\node at (s1.north) {\tiny $y$};
\node [blue,right=5mm of h0] {$h = 0.6$};
\draw[->] (h0) -- node [xshift=2mm,yshift=2mm] {\scriptsize $0.6$} (n);
\draw[->] (h1) -- node [xshift=2mm,yshift=-2mm] {\scriptsize $-0.6$} (n);
\draw[->] (n) -- ++(1cm, 0);
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2.5cm]
% FIXME: rotate the zlabel, change plot color, and move z axis to right
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2},
title=Output,
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)},
declare function={
sigma(\z)=1/(1 + exp(-\z));
f(\x,\y)=0.6 * (sigma(1000 * (\y - 0.3)) - sigma(1000 * (\y - 0.7)));
% f(x,y) = h * (sigma(1000 * (y - s1)) - sigma(1000 * (y - s2)));
}]
\addplot3[surf,domain=0:1] {
f(x,y)
};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/bump_3d_y.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 734 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{scope}
\node(n) [neuron] {};
\node(x) [neuron,left=1.25 of n,yshift=1.5cm] {$x$};
\node(y) [neuron,left=1.25 of n,yshift=-1.5cm] {$y$};
\draw[->] (x) to (n);
\draw[->] (y) to (n);
\node (s) [blue] at (n.center) {$0.50$};
\node at (s.north) {\tiny $y$};
\draw[->] (n) -- ++(1cm, 0);
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2.5cm]
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2},
title=Output,
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)}
]
\addplot3[surf,domain=0:1] {
1 / (1 + exp(-(1000) * y - (-0.5 * 1000)))
};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/y_step.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 448 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=10mm}
]
\begin{scope}
\node(n) [neuron] {};
\node(x) [neuron,left=1.25 of n,yshift=1.5cm] {$x$};
\node(y) [neuron,left=1.25 of n,yshift=-1.5cm] {$y$};
\draw[->] (x) to (n);
\draw[->] (y) to (n);
\node (s) [blue] at (n.center) {$0.50$};
\node at (s.north) {\tiny $x$};
\draw[->] (n) -- ++(1cm, 0);
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2.5cm]
\begin{axis}[
view={-30}{15},
axis background/.style={fill=blue!5},
xlabel=$x$,
ylabel=$y$,
xtick distance=1,
ytick distance=1,
ztick distance=1,
xtick={1},
ytick={1},
ztick={2},
title=Output,
colormap={simple}{rgb255=(235,95,95) rgb255=(255,155,145)}
]
\addplot3[surf,domain=0:1] {
1 / (1 + exp(-(1000) * x - (-0.5 * 1000)))
};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/ti_graph_redux.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 448 |
```postscript
%!PS-Adobe-3.0 EPSF-3.0
%%Title: /home/zhanggyb/overfitting4.eps
%%Creator: matplotlib version 1.3.1, path_to_url
%%CreationDate: Wed Feb 17 11:17:29 2016
%%Orientation: portrait
%%BoundingBox: 13 175 598 616
%%EndComments
%%BeginProlog
/mpldict 8 dict def
mpldict begin
/m { moveto } bind def
/l { lineto } bind def
/r { rlineto } bind def
/c { curveto } bind def
/cl { closepath } bind def
/box {
m
1 index 0 r
0 exch r
neg 0 r
cl
} bind def
/clipbox {
box
clip
newpath
} bind def
%!PS-Adobe-3.0 Resource-Font
%%Title: DejaVu Sans
%%Creator: Converted from TrueType to type 3 by PPR
25 dict begin
/_d{bind def}bind def
/_m{moveto}_d
/_l{lineto}_d
/_cl{closepath eofill}_d
/_c{curveto}_d
/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
/_e{exec}_d
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix[.001 0 0 .001 0 0]def
/FontBBox[-1021 -415 1681 1167]def
/FontType 3 def
/Encoding [ /space /percent /parenleft /parenright /zero /one /two /three /four /five /six /seven /eight /nine /A /E /a /c /d /e /g /h /i /n /o /p /r /t /u /y ] def
/FontInfo 10 dict dup begin
/FamilyName (DejaVu Sans) def
/FullName (DejaVu Sans) def
/Weight (Book) def
/Version (Version 2.34) def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -130 def
/UnderlineThickness 90 def
end readonly def
/CharStrings 30 dict dup begin
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/two{{636 0 73 0 536 742 _sc
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/three{{636 0 76 -13 556 742 _sc
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_cl}_e}_d
/four{636 0 49 0 580 729 _sc
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/five{{636 0 77 -13 549 729 _sc
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}_e{323 69 368 83 401 113 _c
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/six{{636 0 70 -13 573 742 _sc
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/eight{{636 0 68 -13 568 742 _sc
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}_e{390 742 447 725 489 691 _c
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}_e{242 434 275 424 318 424 _c
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_cl}_e}_d
/nine{{636 0 63 -13 566 742 _sc
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_cl}_e}_d
/A{684 0 8 0 676 729 _sc
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/E{632 0 98 0 568 729 _sc
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/a{{613 0 60 -13 522 560 _sc
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showpage
``` | /content/code_sandbox/images/overfitting4.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 13,743 |
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``` | /content/code_sandbox/images/weight_initialization_100.eps | postscript | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 13,859 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[
inputlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=40mm},
hiddenlayer/.style={rectangle,draw,fill=white,inner sep=0pt,minimum size=30mm}
]
\node (input) [inputlayer,anchor=south west] at (0,0) {};
\node (hidden0) [hiddenlayer,anchor=south west] at (5,0) {};
\node (hidden1) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden0.south west) {};
\node (hidden2) [hiddenlayer,anchor=south west,xshift=5mm,yshift=5mm] at (hidden1.south west) {};
\node [above] at (input.north) {$28 \times 28$ input neurons};
\node [above,xshift=-5mm] at (hidden2.north) {
$3 \times 24 \times 24$ neurons
};
\foreach \x in {0,...,2}
\draw[->] (input) to (hidden\x);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz46.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 326 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\input{../plots}
\begin{document}
\createTiGraphSurf{100}{-5}
\end{document}
``` | /content/code_sandbox/images/ti_graph-2.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 83 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=8mm},
font=\footnotesize
]
\node(l0) [neuron] {};
\node(m0) [neuron,right=1.5 of l0] {};
\node(m1) [neuron,above=0.6 of m0] {};
\node(m2) [neuron,above=0.6 of m1] {};
\node(m3) [neuron,above=0.6 of m2] {};
\node(l2) [neuron,left=1.5 of m3] {};
\node(r0) [neuron,right=1.5 of m0] {$a^{l+1}_q$};
\node(r2) [neuron,right=1.5 of m3] {};
\coordinate (lc) at ($(l0)!0.5!(l2)$);
\node(l1) at (lc) [neuron] {};
\coordinate (rc) at ($(r0)!0.5!(r2)$);
\node(r1) at (rc) [neuron] {};
\foreach \x in {0,1,2}
\node(tl\x) [left=0.1 of l\x] {$\ldots$};
\foreach \x in {0,1,2}
\node(tr\x) [right=0.1 of r\x] {$\ldots$};
\node (n0) [neuron,right=5 of m1] {};
\node (n1) [neuron,right=5 of m2] {};
\coordinate (nc) at ($(n0)!0.5!(n1)$);
\node (c) [right=1.5 of nc] {$C$};
\node(tn0) [left=0.1 of n0] {$\ldots$};
\node(tn1) [left=0.1 of n1] {$\ldots$};
% connections:
\foreach \x in {0,1,2}
\foreach \y in {0,...,3}
\draw[->] (l\x) to (m\y);
\foreach \x in {0,...,3}
\foreach \y in {0,1,2}
\draw[->] (m\x) to (r\y);
\draw[->] (n0) to (c);
\draw[->] (n1) to (c);
% mark:
\coordinate (p) at ($(l1)!0.5!(m3)$);
\draw[->,very thick,blue] (p) to (m3);
\draw[->,very thick,blue] (m3) to (r0);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz26.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 696 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateDesignFunction{0.7}{-0.5}{1.2}{1.2}{0.8}
\end{document}
``` | /content/code_sandbox/images/design_function.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 109 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
\input{../plots}
\begin{document}
\createTiGraphSurf{100}{-21}
\end{document}
``` | /content/code_sandbox/images/ti_graph-3.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 83 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{positioning,math}
\input{../plots}
\begin{document}
\manipulateSoftmaxBars{2.5}{-1}{3.2}{-2}
\end{document}
``` | /content/code_sandbox/images/softmax-3.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 87 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{cjkfonts}
\input{../westernfonts}
\begin{document}
\begin{tikzpicture}[
neuron/.style={circle,draw,inner sep=0pt,minimum size=20mm},
font=\footnotesize
]
\foreach \x in {0,...,5} {
\node(l\x) [neuron] at (0, 2.2 * \x) {};
\node(r\x) [neuron] at (7, 2.2 * \x) {};
}
\node [above] at (l5.north) {hidden layer 1};
\node [above] at (r5.north) {hidden layer 2};
\foreach \x in {0,...,5}
\foreach \y in {0,...,5}
\draw[->] (l\x) to (r\y);
\foreach \x in {0,...,5} {
\coordinate (c) at (l\x.center);
\draw ($(c)+(-2mm,0)$) -- ($(c)+(2mm,0)$);
\coordinate (c) at (r\x.center);
\draw ($(c)+(-2mm,0)$) -- ($(c)+(2mm,0)$);
}
\coordinate (c) at (l5.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,-0.003970677333144113mm * 150)$);
\coordinate (c) at (l4.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,-0.0031684316985881185mm * 150)$);
\coordinate (c) at (l3.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.008103235909196014mm * 150)$);
\coordinate (c) at (l2.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.012598010584130365mm * 150)$);
\coordinate (c) at (l1.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,-0.026465907331998335mm * 150)$);
\coordinate (c) at (l0.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.0017583319323150341mm * 150)$);
\coordinate (c) at (r5.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.04152906589960523mm * 150)$);
\coordinate (c) at (r4.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.044025552524932406mm * 150)$);
\coordinate (c) at (r3.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,-0.009669682279354514mm * 150)$);
\coordinate (c) at (r2.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.046736871369353235mm * 150)$);
\coordinate (c) at (r1.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.03877302528270452mm * 150)$);
\coordinate (c) at (r0.center);
\fill[fill=orange!60] ($(c)+(-1.25mm,0)$) rectangle ($(c)+(1.25mm,0.012336459551975156mm * 150)$);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/initial_gradient.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 1,032 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usetikzlibrary{calc,positioning}
\usepackage{pgfplots}
\usepackage{cjkfonts}
\input{../plots}
\begin{document}
\manipulateBumpFunction{0.4}{0.6}{0.6}
\end{document}
``` | /content/code_sandbox/images/bump_fn.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 101 |
```tex
%!TEX TS-program = xelatex
%!TEX encoding = UTF-8 Unicode
\documentclass[11pt,tikz,border=1]{standalone}
\usepackage[default]{cjkfonts}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
[subquestion/.style={rectangle,draw,minimum width=4cm,minimum height=1.5cm},
mainquestion/.style={rectangle,draw,minimum width=5cm,minimum height=1.5cm},
font=\footnotesize]
\node(t1) [subquestion] {
};
\node(t2) [subquestion,above=5mm of t1] {
};
\node(t3) [subquestion,below=5mm of t1] {
};
\node(equal) [left=5mm of t1] {$=$};
\node(t4) [mainquestion,left=5mm of equal] {
};
\node(n) [circle,draw,right=of t1,minimum size=6mm] {};
\node(o) [right=of n] {};
\draw[->] (t1.east) to (n);
\draw[->] (t2.east) to (n);
\draw[->] (t3.east) to (n);
\draw[->] (n) to (o);
\end{tikzpicture}
\end{document}
``` | /content/code_sandbox/images/tikz15.tex | tex | 2016-01-20T08:40:07 | 2024-08-15T16:40:43 | nndl | zhanggyb/nndl | 1,208 | 328 |
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