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[tex.git] / warp.tex

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+%% -*- mode: latex; mode: reftex; mode: flyspell; coding: utf-8; tex-command: "pdflatex.sh" -*-
+
+\documentclass[11pt,a4paper,twoside]{article}
+\usepackage[a4paper,top=2.5cm,bottom=2cm,left=2.5cm,right=2.5cm]{geometry}
+\usepackage[colorlinks=true,linkcolor=blue,urlcolor=blue,citecolor=blue]{hyperref}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{dsfont}
+\usepackage{tikz}
+\usetikzlibrary{arrows,arrows.meta,calc}
+\usetikzlibrary{patterns,backgrounds}
+\usetikzlibrary{positioning,fit}
+\usetikzlibrary{shapes.geometric,shapes.multipart}
+\usetikzlibrary{patterns.meta,decorations.pathreplacing,calligraphy}
+\usetikzlibrary{tikzmark}
+\usetikzlibrary{decorations.pathmorphing}
+\usepackage{pgfplots}
+\usepgfplotslibrary{patchplots,colormaps}
+\pgfplotsset{compat = newest}
+
+
+\begin{document}
+
+\definecolor{blue}{rgb}{0.3,0.5,0.85}
+\definecolor{red}{rgb}{0.65,0.0,0.0}
+
+\begin{figure}
+
+  \immediate\write18{./warp.py --result_dir=.}
+
+  \newcommand{\warp}[1]{%
+    \begin{tikzpicture}
+      \begin{axis}[ticks=none,width=7.0cm, height=7.0cm,xmin=-1.2,xmax=1.2,ymin=-1.2,ymax=1.2]
+        \input{#1}
+      \end{axis}
+    \end{tikzpicture}
+  }
+
+  \center
+
+  \begin{tikzpicture}[warp/.style={inner sep=1pt,minimum width=5.0cm,minimum height=5.0cm}]
+    \node[warp]                 (W0) {\warp{warp_0.tex}};
+    \node[warp,right=2pt of W0] (W1) {\warp{warp_1.tex}};
+    \node[warp,right=2pt of W1] (W2) {\warp{warp_2.tex}};
+    \node[warp,below=20pt of W0] (W3) {\warp{warp_3.tex}};
+    \node[warp,right=2pt of W3] (W4) {\warp{warp_4.tex}};
+    \node[warp,right=2pt of W4] (W5) {\warp{warp_5.tex}};
+    \node[warp,below=20pt of W3] (W6) {\warp{warp_6.tex}};
+    \node[warp,right=2pt of W6] (W7) {\warp{warp_7.tex}};
+    \node[warp,right=2pt of W7] (W8) {\warp{warp_8.tex}};
+    \node[inner sep=0pt,below=4pt of W0] (lW0) {\footnotesize Input};
+    \foreach \n in {1,...,8}{
+      \node[inner sep=0pt,below=4pt of W\n] (lW\n) {\footnotesize Layer \#\n};
+    };
+
+  \end{tikzpicture}
+
+  \caption[Feature warping]{Each plot shows the deformation of the space
+    and the resulting distribution of the training points in
+    $\mathbb{R}^2$ corresponding to the output of each layer, starting
+    with the input in the top-left square. The thick oblique line in the
+    bottom-right plot shows the final affine decision.}\label{fig:warp}
+
+\end{figure}
+
+\end{document}