From cb58e0a6b3a1a934eb340eeebf79dff984b68ac6 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Wed, 17 May 2017 11:20:48 +0200 Subject: [PATCH] tikz: Add activation functions --- tikz/activation-functions/Makefile | 33 ++++++++++++ tikz/activation-functions/README.md | 3 ++ .../activation-functions.png | Bin 0 -> 43813 bytes .../activation-functions.tex | 50 ++++++++++++++++++ 4 files changed, 86 insertions(+) create mode 100644 tikz/activation-functions/Makefile create mode 100644 tikz/activation-functions/README.md create mode 100644 tikz/activation-functions/activation-functions.png create mode 100644 tikz/activation-functions/activation-functions.tex diff --git a/tikz/activation-functions/Makefile b/tikz/activation-functions/Makefile new file mode 100644 index 0000000..df820b6 --- /dev/null +++ b/tikz/activation-functions/Makefile @@ -0,0 +1,33 @@ +SOURCE = activation-functions +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: + #inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg + pdf2svg $(SOURCE).pdf $(SOURCE).svg + # Necessary, as pdf2svg does not always create valid svgs: + inkscape $(SOURCE).svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg + rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg + rm $(SOURCE)1.svg diff --git a/tikz/activation-functions/README.md b/tikz/activation-functions/README.md new file mode 100644 index 0000000..a5b11d2 --- /dev/null +++ b/tikz/activation-functions/README.md @@ -0,0 +1,3 @@ +Compiled example +---------------- +![Example](activation-functions.png) diff --git a/tikz/activation-functions/activation-functions.png b/tikz/activation-functions/activation-functions.png new file mode 100644 index 0000000000000000000000000000000000000000..1f26f3e990e9d475f6e927677f565a7bf9fe5344 GIT binary patch literal 43813 zcmb5VWmr{P*#0}|P7&!;1nHJWq@+cpyBn15MMz0VN=Qqmq#%ueba!`m_ZjT>yyyC# z59h;K*WPZuWUn>XoMSxCbN}vpgeWOUVWE?tLlA`ZPFh?Ug5be#p>0%T@ayR7J6`Y~ zLFMcD2tE(!Wq_#w?Gg?>?on`_`%N9(Z%4i3FPA9!eU`- zE9;i=*4CC7Cuao( zB+5{X8zTP9seE_WT2016anB%IiN0Q6e?uRNw7_{PmT}0M!ocZdEjr=|JuP*I5@LAABD4WpK4R4GLT1>5yOK~izmn33;gP*y1K z@zKAa7pDjj1>$WZdI~?ZHv1wlf;SXM8+f*5Oh`!h?B;AoEu$(sS(FNQ$9Q~v{QLFk z)(31TKR-VrK0Y2lrKrAM&}p*Fzy$jC{rg6`a{eslZvF1k())s96pwh5IVX-PO)m+W zs95uZDsl+NpW`RmmsZ1KW*%^jd2fh0kg>_sQK9cFI_1^n<;SC4uU@?}PEAe4fm>Yf zOI9^8F=@lJj`DDI6@*|r6Qx?Js;bx%T`I3W<|HT2c-as$sk|CPO$jrZV)~`-iPL;m zR8%AZd9rH%)_+1s$U{Rzvz&6aGx63ccX1_BB=z*>pb0}EO?Xchwd<3U6EpJQ#%!&F z>G}D2mLor_UZb|_{q2<@R90EJ8cED)nh+E7AtO6GyS$*_)j(U@3J;_tlL#LC9jc#Z z@x2yJ)a+=tw6k+{q;JZ^U&AA;xlgL9@ue+y^(+MFCs@Y9g9;+}V#hi(&ySQ95VHsx;2QFD1Y%qgWQ^=nvM@QPea@1St zynq)XUW;5EhNxd6RL@9&?tp1b3#ps$G1)sg_3@NByr%xEY}F$K-h&B2E07)2D7$K{ zF*#W)$Co)(kYYg7LxfWLIex7|d{h*B?7+s1`N789U+PRFUBe?IK?#Y8QUa}3r^uJ;1VpW+^Hcr z2rg}acU!%T$!Z*zID52LDMxwUh8Ac8=+v8S*eYgR0}F~?Ms zWz?9vkW7A*Lbh_3Rq*b60j$yqB5;QiqnH>N-Zdcybgr-ma%gF3H58SXN53x|!>}CA zSE3I)Chn#f>)JRuq8GFS@Pe0hx+uLh7rlG7XhG_!tEBfHciD~qFWIO+T z$Hob<&Yh*xrpdGw1oigySuy*Mo6@ErUu3H$RtpC57k172Jlq{hd?mcw2gPnha(*uwHN03btaBw%r@_6dv-Jyxe`WO{rpmZwPZmFA zm)Y|X;U4$O0rxDEK>j{(HC~Z|uSR(8>&j1{=EVcG!@MFotxBKHz;ew63#_;!S3z3h zw1J5p3NJh2#siADUrbsDHxbGt;|UkX4FbE11+T`@i%%aPKqlUSiH#0v!&`>z=bW4; 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\definecolor{color3}{HTML}{B2ABD2} + \definecolor{color4}{HTML}{5E3C99} + \begin{axis}[ + legend pos=north west, + legend cell align={left}, + axis x line=middle, + axis y line=middle, + x tick label style={/pgf/number format/fixed, + /pgf/number format/fixed zerofill, + /pgf/number format/precision=1}, + y tick label style={/pgf/number format/fixed, + /pgf/number format/fixed zerofill, + /pgf/number format/precision=1}, + grid = major, + width=16cm, + height=8cm, + grid style={dashed, gray!30}, + xmin=-2, % start the diagram at this x-coordinate + xmax= 2, % end the diagram at this x-coordinate + ymin=-1, % start the diagram at this y-coordinate + ymax= 2, % end the diagram at this y-coordinate + %axis background/.style={fill=white}, + xlabel=x, + ylabel=y, + tick align=outside, + enlargelimits=false] + % plot the stirling-formulae + \addplot[domain=-2:2, color1, ultra thick,samples=500] {1/(1+exp(-x))}; + \addplot[domain=-2:2, color2, ultra thick,samples=500] {tanh(x)}; + \addplot[domain=-2:2, color4, ultra thick,samples=500] {max(0, x)}; + \addplot[domain=-2:2, color4, ultra thick,samples=500, dashed] {ln(exp(x) + 1)}; + \addplot[domain=-2:2, color3, ultra thick,samples=500, dotted] {max(x, exp(x) - 1)}; + \addlegendentry{$\varphi_1(x)=\frac{1}{1+e^{-x}}$} + \addlegendentry{$\varphi_2(x)=\tanh(x)$} + \addlegendentry{$\varphi_3(x)=\max(0, x)$} + \addlegendentry{$\varphi_4(x)=\log(e^x + 1)$} + \addlegendentry{$\varphi_5(x)=\max(x, e^x - 1)$} + \end{axis} +\end{tikzpicture} +\end{document}