warp.tex

   1 %% -*- mode: latex; mode: reftex; mode: flyspell; coding: utf-8; tex-command: "pdflatex.sh" -*-
   2
   3 \documentclass[11pt,a4paper,twoside]{article}
   4 \usepackage[a4paper,top=2.5cm,bottom=2cm,left=2.5cm,right=2.5cm]{geometry}
   5 \usepackage[colorlinks=true,linkcolor=blue,urlcolor=blue,citecolor=blue]{hyperref}
   6 \usepackage{amsmath}
   7 \usepackage{amssymb}
   8 \usepackage{dsfont}
   9 \usepackage{tikz}
  10 \usetikzlibrary{arrows,arrows.meta,calc}
  11 \usetikzlibrary{patterns,backgrounds}
  12 \usetikzlibrary{positioning,fit}
  13 \usetikzlibrary{shapes.geometric,shapes.multipart}
  14 \usetikzlibrary{patterns.meta,decorations.pathreplacing,calligraphy}
  15 \usetikzlibrary{tikzmark}
  16 \usetikzlibrary{decorations.pathmorphing}
  17 \usepackage{pgfplots}
  18 \usepgfplotslibrary{patchplots,colormaps}
  19 \pgfplotsset{compat = newest}
  20
  21
  22 \begin{document}
  23
  24 \definecolor{blue}{rgb}{0.3,0.5,0.85}
  25 \definecolor{red}{rgb}{0.65,0.0,0.0}
  26
  27 \begin{figure}
  28
  29   \immediate\write18{./warp.py --result_dir=.}
  30
  31   \newcommand{\warp}[1]{%
  32     \begin{tikzpicture}
  33       \begin{axis}[ticks=none,width=7.0cm, height=7.0cm,xmin=-1.2,xmax=1.2,ymin=-1.2,ymax=1.2]
  34         \input{#1}
  35       \end{axis}
  36     \end{tikzpicture}
  37   }
  38
  39   \center
  40
  41   \begin{tikzpicture}[warp/.style={inner sep=1pt,minimum width=5.0cm,minimum height=5.0cm}]
  42     \node[warp]                 (W0) {\warp{warp_0.tex}};
  43     \node[warp,right=2pt of W0] (W1) {\warp{warp_1.tex}};
  44     \node[warp,right=2pt of W1] (W2) {\warp{warp_2.tex}};
  45     \node[warp,below=20pt of W0] (W3) {\warp{warp_3.tex}};
  46     \node[warp,right=2pt of W3] (W4) {\warp{warp_4.tex}};
  47     \node[warp,right=2pt of W4] (W5) {\warp{warp_5.tex}};
  48     \node[warp,below=20pt of W3] (W6) {\warp{warp_6.tex}};
  49     \node[warp,right=2pt of W6] (W7) {\warp{warp_7.tex}};
  50     \node[warp,right=2pt of W7] (W8) {\warp{warp_8.tex}};
  51     \node[inner sep=0pt,below=4pt of W0] (lW0) {\footnotesize Input};
  52     \foreach \n in {1,...,8}{
  53       \node[inner sep=0pt,below=4pt of W\n] (lW\n) {\footnotesize Layer \#\n};
  54     };
  55
  56   \end{tikzpicture}
  57
  58   \caption[Feature warping]{Each plot shows the deformation of the space
  59     and the resulting distribution of the training points in
  60     $\mathbb{R}^2$ corresponding to the output of each layer, starting
  61     with the input in the top-left square. The thick oblique line in the
  62     bottom-right plot shows the final affine decision.}\label{fig:warp}
  63
  64 \end{figure}
  65
  66 \end{document}