From: François Fleuret Date: Fri, 3 Feb 2023 17:49:42 +0000 (+0100) Subject: Update. X-Git-Url: https://fleuret.org/cgi-bin/gitweb/gitweb.cgi?a=commitdiff_plain;h=4c80f7f0f382a25de688ef2a06bf84f36d84afce;p=tex.git Update. --- diff --git a/dl.tex b/dl.tex new file mode 100644 index 0000000..50a6f7c --- /dev/null +++ b/dl.tex @@ -0,0 +1,560 @@ +\documentclass[11pt,a4paper,twoside]{article} +\usepackage{amsmath,amssymb,dsfont} +\usepackage[pdftex]{graphicx} + +\usepackage{tikz} +\usetikzlibrary{arrows,arrows.meta,calc} +\usetikzlibrary{patterns} + +\tikzset{>={Straight Barb[angle'=80,scale=1.2]}} +\tikzset{axes/.style={ + samples=1000, + smooth, + scale=0.8, + } +} + +\usepackage{pgfplots} +\usepgfplotslibrary{patchplots,colormaps} +\pgfplotsset{compat = newest} + + \def\nbsamplesgd{31} + \def\nbsamplesgdlevelcurves{51} + +\begin{document} + +\begin{figure} +\center + +\begin{tikzpicture}[axes,scale=0.95] +\begin{axis} [ + width=8cm, height=8cm, + view={0}{90}, + domain=0:6, + xmin=0, xmax=6, ymin=0, ymax=6, clip=true, + trig format plots=rad, + xtick style={draw=none}, + ytick style={draw=none}, + ztick style={draw=none}, + xticklabel = \empty, + yticklabel = \empty, + zticklabel = \empty, + zmin=-2, + xlabel = $w$, ylabel = \empty, zlabel = $\mathcal{L}(w)$, + ylabel style = { rotate=-90 }, + point meta max=50, + point meta min=0, +] +\addplot3 [ + samples=\nbsamplesgdlevelcurves, + samples y=\nbsamplesgdlevelcurves, + contour gnuplot={ + number=31,%levels={-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9}, + labels=false, + draw color=black!40, + handler/.style=smooth, + }, +] { + y*y + (x-3.1415926)*(x-3.1415926) + + 18*exp(-0.5*((x-5)*(x-5)+(y-1)*(y-1))) + + 12*exp(-0.5*((x-1.5)*(x-1.5)+(y-3)*(y-3))) + - 3 *exp(-1.5*((x-3)*(x-3)+(y-1)*(y-1))) +}; +\immediate\write18{src/gradient.py --fig=2 --filename=src/gradient_field.tex} +%\input{src/gradient_field.tex} +\addplot[blue,very thin,quiver={u=\thisrow{u},v=\thisrow{v}},-stealth] +table +{ +x y u v +0.1174235213547945 0.022089432226493955 -0.18484704196453094 0.00582113629207015 +0.11588682420551777 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(2.73673415184021,0.6147243976593018,-0.007083415985107422) }; +\end{axis} +\end{tikzpicture} +\end{figure} + +\begin{figure} +\newcommand{\fillcubexyz}[7]{% +\draw[draw=none,fill=#7] (#1,#2,#3)--++(#4,0,0)--++(0,0,#6)--++(0,#5,0)--++(-#4,0,0)--++(0,0,-#6)--cycle; +} +\newcommand{\cubexyz}[6]{% +\draw (#1,#2,#3) --++(0,0,#6)--++(0,#5,0)--++(0,0,-#6)--cycle; +\draw (#1,#2,#3)++(#4,0,0)--++(0,0,#6)--++(0,#5,0)--++(0,0,-#6)--cycle; +\draw (#1,#2,#3)--++(#4,0,0); +\draw (#1,#2,#3)++(0,#5,0)--++(#4,0,0); +\draw (#1,#2,#3)++(0,#5,#6)--++(#4,0,0); +\draw (#1,#2,#3)++(0,0,#6)--++(#4,0,0); +} +\center +\begin{tikzpicture}[ + very thin, line join=bevel, + x={(0:0.15cm)}, + y={(90:0.215cm)}, + z={(50:0.08cm)} +] + +\begin{scope}[shift={(0,0,0)}] + \fillcubexyz{0}{1}{1}{4}{5}{3}{blue} + \cubexyz{0}{0}{0}{4}{10}{8} % 4x10x8 + \cubexyz{0}{1}{1}{4}{5}{3} % 4x5x3 + \fillcubexyz{10}{3}{2}{6}{1}{1}{red} + \cubexyz{10}{2}{1}{6}{6}{6} % 6x6x6 + \cubexyz{10}{3}{2}{6}{1}{1} + \draw[->,thick] (0,1,1)++(4.8,2.5,1.5)--++(4.6,0,0) node[midway,above] {$\phi$}; + \node[every text node part/.style={align=center}] at (9,-4) {\it 2d convolution}; +\end{scope} + +\begin{scope}[shift={(24,0,0)}] + \fillcubexyz{13}{1}{1}{4}{5}{3}{red} + \cubexyz{13}{0}{0}{4}{10}{8} + \cubexyz{13}{1}{1}{4}{5}{3} + \fillcubexyz{0}{3}{2}{6}{1}{1}{blue} + \cubexyz{0}{2}{1}{6}{6}{6} + \cubexyz{0}{3}{2}{6}{1}{1} + \draw[->,thick] (0,1,1)++(6.6,2.5,1.5)--++(5.2,0,0) node[midway,above] {$\psi$}; + \node[every text node part/.style={align=center}] at (9,-4) + {\it 2d transposed\\ \it convolution}; +\end{scope} + +\end{tikzpicture} + +\end{figure} + + +\end{document}