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added 'perceptron-xor-task'

This commit is contained in:
Martin Thoma 2013-08-25 16:04:29 +02:00
parent 0ef1a9e285
commit 850fbc57a6
4 changed files with 77 additions and 0 deletions

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SOURCE = perceptron-xor-task
DELAY = 80
DENSITY = 300
WIDTH = 512
make:
pdflatex $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
make
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg
rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
rm $(SOURCE)2.svg

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Compiled example
----------------
![Example](perceptron-xor-task.png)

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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes, calc, shapes, arrows}
\tikzstyle{input}=[draw,fill=red!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{hidden}=[draw,fill=green!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{output}=[draw,fill=blue!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{bias}=[draw,dashed,fill=gray!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{stateTransition}=[->, thick]
\DeclareMathOperator{\xor}{XOR}
\begin{document}
\begin{preview}
\begin{tikzpicture}[scale=2]
\node (x)[input] at (0,1) {$x$};
\node (y)[input] at (0,0) {$y$};
\node (h1)[hidden] at (1, 1.5) {$1$};
\node (h2)[hidden] at (1, 0.5) {$2$};
\node (h3)[hidden] at (1,-0.5) {$1$};
\node (o1)[output] at (2,0.5) {};
\draw[stateTransition] (x) -- (h1) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (x) -- (h2) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (y) -- (h2) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (y) -- (h3) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (h1) -- (o1) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (h2) -- (o1) node [midway,above=-0.1cm] {$-2$};
\draw[stateTransition] (h3) -- (o1) node [midway,above=-0.06cm] {$1$};
\draw[stateTransition] (o1) -- (3.5,0.5) node [midway,above=-0.1cm] {$\xor(x, y)$};
\end{tikzpicture}
\end{preview}
\end{document}