Add new figures in Tikz
Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
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%% Creator: Inkscape 1.0.1 (3bc2e813f5, 2020-09-07), www.inkscape.org
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%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
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%% Accompanies image file 'abelian_angles_case1.pdf' (pdf, eps, ps)
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%%
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%% To include the image in your LaTeX document, write
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics{<filename>.pdf}
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%% To scale the image, write
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%% \def\svgwidth{<desired width>}
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics[width=<desired width>]{<filename>.pdf}
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%%
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%% Images with a different path to the parent latex file can
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%% be accessed with the `import' package (which may need to be
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%% installed) using
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%% \usepackage{import}
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%% in the preamble, and then including the image with
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%% \import{<path to file>}{<filename>.pdf_tex}
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%% Alternatively, one can specify
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%% \graphicspath{{<path to file>/}}
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%%
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%% For more information, please see info/svg-inkscape on CTAN:
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%% http://tug.ctan.org/tex-archive/info/svg-inkscape
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%%
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\begingroup%
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\makeatletter%
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\providecommand\color[2][]{%
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\errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
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\renewcommand\color[2][]{}%
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}%
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\providecommand\transparent[1]{%
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\errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
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\renewcommand\transparent[1]{}%
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}%
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\providecommand\rotatebox[2]{#2}%
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\newcommand*\fsize{\dimexpr\f@size pt\relax}%
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\newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}%
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\ifx\svgwidth\undefined%
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\setlength{\unitlength}{809.90198811bp}%
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\ifx\svgscale\undefined%
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\relax%
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\else%
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\setlength{\unitlength}{\unitlength * \real{\svgscale}}%
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\fi%
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\else%
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\setlength{\unitlength}{\svgwidth}%
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\fi%
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\global\let\svgwidth\undefined%
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\global\let\svgscale\undefined%
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\makeatother%
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\begin{picture}(1,0.28566559)%
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\lineheight{1}%
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\setlength\tabcolsep{0pt}%
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\put(0,0){\includegraphics[width=\unitlength,page=1]{abelian_angles_case1.pdf}}%
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\put(0.3518944,0.09125162){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(3)}$\end{tabular}}}}%
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\put(0.29170197,0.27182902){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.04949014,0.27582159){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(2)}$\end{tabular}}}}%
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\put(0.05471932,0.06332997){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{0}}>0$\end{tabular}}}}%
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\put(0.13067907,0.24321104){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{\infty}}>0$\end{tabular}}}}%
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\put(0.23150951,0.1397948){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{1}}<0$\end{tabular}}}}%
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\put(0,0){\includegraphics[width=\unitlength,page=2]{abelian_angles_case1.pdf}}%
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\put(0.88899646,0.08199125){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(3)}$\end{tabular}}}}%
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\put(0.82880403,0.26256861){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.79975601,0.00337498){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(2)}$\end{tabular}}}}%
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\put(0.60719359,0.04081766){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{0}}>0$\end{tabular}}}}%
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\put(0.75729421,0.18640081){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{\infty}}<0$\end{tabular}}}}%
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\put(0.90060053,0.03539545){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{1}}>0$\end{tabular}}}}%
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\put(0,0){\includegraphics[width=\unitlength,page=3]{abelian_angles_case1.pdf}}%
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\end{picture}%
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\endgroup%
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%% Creator: Inkscape 1.0.1 (3bc2e813f5, 2020-09-07), www.inkscape.org
|
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%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
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%% Accompanies image file 'abelian_angles_case2.pdf' (pdf, eps, ps)
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%%
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%% To include the image in your LaTeX document, write
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%% \input{<filename>.pdf_tex}
|
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%% instead of
|
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%% \includegraphics{<filename>.pdf}
|
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%% To scale the image, write
|
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%% \def\svgwidth{<desired width>}
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics[width=<desired width>]{<filename>.pdf}
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%%
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%% Images with a different path to the parent latex file can
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%% be accessed with the `import' package (which may need to be
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%% installed) using
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%% \usepackage{import}
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%% in the preamble, and then including the image with
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%% \import{<path to file>}{<filename>.pdf_tex}
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%% Alternatively, one can specify
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%% \graphicspath{{<path to file>/}}
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%%
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%% For more information, please see info/svg-inkscape on CTAN:
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%% http://tug.ctan.org/tex-archive/info/svg-inkscape
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%%
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\begingroup%
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\makeatletter%
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\providecommand\color[2][]{%
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\errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
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\renewcommand\color[2][]{}%
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}%
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\providecommand\transparent[1]{%
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\errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
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\renewcommand\transparent[1]{}%
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}%
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\providecommand\rotatebox[2]{#2}%
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\newcommand*\fsize{\dimexpr\f@size pt\relax}%
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\newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}%
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\ifx\svgwidth\undefined%
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\setlength{\unitlength}{815.91228816bp}%
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\ifx\svgscale\undefined%
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\relax%
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\else%
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\setlength{\unitlength}{\unitlength * \real{\svgscale}}%
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\fi%
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\else%
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\setlength{\unitlength}{\svgwidth}%
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\fi%
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\global\let\svgwidth\undefined%
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\global\let\svgscale\undefined%
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\makeatother%
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\begin{picture}(1,0.33970577)%
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\lineheight{1}%
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\setlength\tabcolsep{0pt}%
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\put(0,0){\includegraphics[width=\unitlength,page=1]{abelian_angles_case2.pdf}}%
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\put(0.34930222,0.08757823){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(3)}$\end{tabular}}}}%
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\put(0.33322541,0.31154998){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.00227729,0.0034778){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(2)}$\end{tabular}}}}%
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\put(0.31108783,0.13194775){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{0}}>0$\end{tabular}}}}%
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\put(0.12907189,0.22138597){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{\infty}}>0$\end{tabular}}}}%
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\put(0.02078152,0.12184104){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{1}}<0$\end{tabular}}}}%
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\put(0,0){\includegraphics[width=\unitlength,page=2]{abelian_angles_case2.pdf}}%
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\put(0.89163989,0.10596258){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(3)}$\end{tabular}}}}%
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\put(0.87556311,0.32993431){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.93643992,0.25380444){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(2)}$\end{tabular}}}}%
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\put(0.85342556,0.15033205){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{0}}>0$\end{tabular}}}}%
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\put(0.71757287,0.2510296){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{\infty}}<0$\end{tabular}}}}%
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\put(0.56311923,0.14022539){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$n^3_{\vb{1}}>0$\end{tabular}}}}%
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\put(0,0){\includegraphics[width=\unitlength,page=3]{abelian_angles_case2.pdf}}%
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\end{picture}%
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\endgroup%
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%% Creator: Inkscape 1.0.1 (3bc2e813f5, 2020-09-07), www.inkscape.org
|
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%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
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||||||
%% Accompanies image file 'branchcuts.pdf' (pdf, eps, ps)
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%%
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%% To include the image in your LaTeX document, write
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||||||
%% \input{<filename>.pdf_tex}
|
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%% instead of
|
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%% \includegraphics{<filename>.pdf}
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||||||
%% To scale the image, write
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%% \def\svgwidth{<desired width>}
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics[width=<desired width>]{<filename>.pdf}
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%%
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%% Images with a different path to the parent latex file can
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%% be accessed with the `import' package (which may need to be
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%% installed) using
|
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%% \usepackage{import}
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%% in the preamble, and then including the image with
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%% \import{<path to file>}{<filename>.pdf_tex}
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%% Alternatively, one can specify
|
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%% \graphicspath{{<path to file>/}}
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%%
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%% For more information, please see info/svg-inkscape on CTAN:
|
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%% http://tug.ctan.org/tex-archive/info/svg-inkscape
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%%
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\begingroup%
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\makeatletter%
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\providecommand\color[2][]{%
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\errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
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\renewcommand\color[2][]{}%
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}%
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\providecommand\transparent[1]{%
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\errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
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\renewcommand\transparent[1]{}%
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}%
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\providecommand\rotatebox[2]{#2}%
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\newcommand*\fsize{\dimexpr\f@size pt\relax}%
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\newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}%
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\ifx\svgwidth\undefined%
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\setlength{\unitlength}{238.15880585bp}%
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\ifx\svgscale\undefined%
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\relax%
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\else%
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\setlength{\unitlength}{\unitlength * \real{\svgscale}}%
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\fi%
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\else%
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\setlength{\unitlength}{\svgwidth}%
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\fi%
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\global\let\svgwidth\undefined%
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\global\let\svgscale\undefined%
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\makeatother%
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\begin{picture}(1,0.76153715)%
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\lineheight{1}%
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\setlength\tabcolsep{0pt}%
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\put(0,0){\includegraphics[width=\unitlength,page=1]{branchcuts.pdf}}%
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\put(0.0016767,0.36606096){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.85635351,0.37478128){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(1)}$\end{tabular}}}}%
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\put(0.63438514,0.16935535){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(2)}$\end{tabular}}}}%
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\put(0.36608568,0.41016979){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(3)}$\end{tabular}}}}%
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\put(0.15254082,0.16219913){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(4)}$\end{tabular}}}}%
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\put(0.96995274,0.31241506){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$x$\end{tabular}}}}%
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\put(0.26561284,0.72061977){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$y$\end{tabular}}}}%
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\end{picture}%
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\endgroup%
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img/brane3d.pdf
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img/brane3d.pdf
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%% Creator: Inkscape inkscape 0.91, www.inkscape.org
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%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
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%% Accompanies image file 'brane3d.pdf' (pdf, eps, ps)
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%%
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%% To include the image in your LaTeX document, write
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics{<filename>.pdf}
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%% To scale the image, write
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%% \def\svgwidth{<desired width>}
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%% \input{<filename>.pdf_tex}
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%% instead of
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%% \includegraphics[width=<desired width>]{<filename>.pdf}
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%%
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%% Images with a different path to the parent latex file can
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%% be accessed with the `import' package (which may need to be
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%% installed) using
|
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%% \usepackage{import}
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%% in the preamble, and then including the image with
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%% \import{<path to file>}{<filename>.pdf_tex}
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%% Alternatively, one can specify
|
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%% \graphicspath{{<path to file>/}}
|
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%%
|
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||||||
%% For more information, please see info/svg-inkscape on CTAN:
|
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||||||
%% http://tug.ctan.org/tex-archive/info/svg-inkscape
|
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%%
|
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||||||
\begingroup%
|
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||||||
\makeatletter%
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||||||
\providecommand\color[2][]{%
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\errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}%
|
|
||||||
\renewcommand\color[2][]{}%
|
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||||||
}%
|
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||||||
\providecommand\transparent[1]{%
|
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||||||
\errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}%
|
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||||||
\renewcommand\transparent[1]{}%
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}%
|
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\providecommand\rotatebox[2]{#2}%
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||||||
\ifx\svgwidth\undefined%
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||||||
\setlength{\unitlength}{808.2369106bp}%
|
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||||||
\ifx\svgscale\undefined%
|
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\relax%
|
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\else%
|
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\setlength{\unitlength}{\unitlength * \real{\svgscale}}%
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\fi%
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\else%
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\setlength{\unitlength}{\svgwidth}%
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\fi%
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\global\let\svgwidth\undefined%
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\global\let\svgscale\undefined%
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\makeatother%
|
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\begin{picture}(1,0.66311263)%
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|
|
||||||
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|
||||||
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|
|
||||||
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%% Creator: Inkscape 1.0 (4035a4fb49, 2020-05-01), www.inkscape.org
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
%% installed) using
|
|
||||||
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|
|
||||||
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|
|
||||||
%% \import{<path to file>}{<filename>.pdf_tex}
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
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|
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|
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|
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|
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|
||||||
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|
|
||||||
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|
|
||||||
\put(0.54488514,0.53433119){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$g_{(3)}$\end{tabular}}}}%
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|
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|
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|
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%% Creator: Inkscape 1.0 (4035a4fb49, 2020-05-01), www.inkscape.org
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|
|
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
||||||
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|
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|
||||||
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|
|
||||||
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|
|
||||||
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|
|
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|
|
||||||
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|
|
||||||
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|
|
||||||
%% be accessed with the `import' package (which may need to be
|
|
||||||
%% installed) using
|
|
||||||
%% \usepackage{import}
|
|
||||||
%% in the preamble, and then including the image with
|
|
||||||
%% \import{<path to file>}{<filename>.pdf_tex}
|
|
||||||
%% Alternatively, one can specify
|
|
||||||
%% \graphicspath{{<path to file>/}}
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
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|
|
||||||
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|
|
||||||
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|
||||||
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|
|
||||||
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|
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||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
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|
|
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|
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%% Creator: Inkscape 1.0.1 (3bc2e813f5, 2020-09-07), www.inkscape.org
|
|
||||||
%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
|
|
||||||
%% Accompanies image file 'threebranes_plane.pdf' (pdf, eps, ps)
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
%% \input{<filename>.pdf_tex}
|
|
||||||
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|
|
||||||
%% \includegraphics[width=<desired width>]{<filename>.pdf}
|
|
||||||
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|
|
||||||
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|
|
||||||
%% be accessed with the `import' package (which may need to be
|
|
||||||
%% installed) using
|
|
||||||
%% \usepackage{import}
|
|
||||||
%% in the preamble, and then including the image with
|
|
||||||
%% \import{<path to file>}{<filename>.pdf_tex}
|
|
||||||
%% Alternatively, one can specify
|
|
||||||
%% \graphicspath{{<path to file>/}}
|
|
||||||
%%
|
|
||||||
%% For more information, please see info/svg-inkscape on CTAN:
|
|
||||||
%% http://tug.ctan.org/tex-archive/info/svg-inkscape
|
|
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|
|
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%% Creator: Inkscape 1.0.1 (3bc2e813f5, 2020-09-07), www.inkscape.org
|
|
||||||
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|
|
||||||
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|
|
||||||
%%
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
||||||
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|
|
||||||
%% \def\svgwidth{<desired width>}
|
|
||||||
%% \input{<filename>.pdf_tex}
|
|
||||||
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|
|
||||||
%% \includegraphics[width=<desired width>]{<filename>.pdf}
|
|
||||||
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|
|
||||||
%% Images with a different path to the parent latex file can
|
|
||||||
%% be accessed with the `import' package (which may need to be
|
|
||||||
%% installed) using
|
|
||||||
%% \usepackage{import}
|
|
||||||
%% in the preamble, and then including the image with
|
|
||||||
%% \import{<path to file>}{<filename>.pdf_tex}
|
|
||||||
%% Alternatively, one can specify
|
|
||||||
%% \graphicspath{{<path to file>/}}
|
|
||||||
%%
|
|
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%% For more information, please see info/svg-inkscape on CTAN:
|
|
||||||
%% http://tug.ctan.org/tex-archive/info/svg-inkscape
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|
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||||||
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||||||
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|
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||||||
\put(0.62109903,0.3936839){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$X_{(t)}^2$\end{tabular}}}}%
|
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||||||
\put(0.46484074,0.50986049){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$X_{(t)}^{3,\, 4}$\end{tabular}}}}%
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||||||
\put(0.0567108,0.56734342){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$D_{(t)}$\end{tabular}}}}%
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|
||||||
@@ -381,8 +381,7 @@ We thus translated the rotations of the D-branes encoded in the matrices $R_{(t)
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.5\textwidth}
|
\import{tikz}{branchcuts.pgf}
|
||||||
\import{img}{branchcuts.pdf_tex}
|
|
||||||
\caption{%
|
\caption{%
|
||||||
Branch cut structure of the complex plane with $N_B = 4$.
|
Branch cut structure of the complex plane with $N_B = 4$.
|
||||||
Cuts are pictured as solid coloured blocks running from one intersection point to another at finite.
|
Cuts are pictured as solid coloured blocks running from one intersection point to another at finite.
|
||||||
@@ -599,8 +598,7 @@ We choose $\bart = 1$ in what follows.
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.35\linewidth}
|
\import{tikz}{threebranes_plane.pgf}
|
||||||
\import{img}{threebranes_plane.pdf_tex}
|
|
||||||
\caption{%
|
\caption{%
|
||||||
Fixing the \SL{2}{\R} invariance for $N_B = 3$ and $\bart = 1$ leads to a cut structure with all the cuts defined on the real axis towards $\omega_{\bart} = \infty$.}
|
Fixing the \SL{2}{\R} invariance for $N_B = 3$ and $\bart = 1$ leads to a cut structure with all the cuts defined on the real axis towards $\omega_{\bart} = \infty$.}
|
||||||
\label{fig:hypergeometric_cuts}
|
\label{fig:hypergeometric_cuts}
|
||||||
@@ -2111,23 +2109,41 @@ Here we compute the parameter $\vec{n}_{1}$ given two Abelian rotation in $\omeg
|
|||||||
Results are shown in~\Cref{tab:Abelian_composition}.
|
Results are shown in~\Cref{tab:Abelian_composition}.
|
||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
|
\centering
|
||||||
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.8\textwidth}
|
\import{tikz}{abelian_angles_case1_a.pgf}
|
||||||
\import{img}{abelian_angles_case1.pdf_tex}
|
\caption{Case 1.}
|
||||||
\caption{%
|
\end{subfigure}
|
||||||
The Abelian limit when the triangle has all acute angles.
|
\hfill
|
||||||
This corresponds to the cases $n_{0} + n_{\infty}< \frac{1}{2}$ and $n_{0}< n_{\infty}$ which are exchanged under the parity $P_2$.}
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
\label{fig:Abelian_angles_1}
|
\centering
|
||||||
|
\import{tikz}{abelian_angles_case1_b.pgf}
|
||||||
|
\caption{Case 2.}
|
||||||
|
\end{subfigure}
|
||||||
|
\caption{%
|
||||||
|
The Abelian limit when the triangle has all acute angles.
|
||||||
|
This corresponds to the cases $n_{0} + n_{\infty}< \frac{1}{2}$ and $n_{0}< n_{\infty}$ which are exchanged under the parity $P_2$.}
|
||||||
|
\label{fig:Abelian_angles_1}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
|
\centering
|
||||||
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.8\textwidth}
|
\import{tikz}{abelian_angles_case2_a.pgf}
|
||||||
\import{img}{abelian_angles_case2.pdf_tex}
|
\caption{Case 1.}
|
||||||
\caption{%
|
\end{subfigure}
|
||||||
The Abelian limit when the triangle has one obtuse angle.
|
\hfill
|
||||||
This corresponds to the cases $n_{0} + n_{\infty}> \frac{1}{2}$ and $n_{0}> n_{\infty}$ which are exchanged under the parity $P_2$.}
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
\label{fig:Abelian_angles_2}
|
\centering
|
||||||
|
\import{tikz}{abelian_angles_case2_b.pgf}
|
||||||
|
\caption{Case 2.}
|
||||||
|
\end{subfigure}
|
||||||
|
\caption{%
|
||||||
|
The Abelian limit when the triangle has one obtuse angle.
|
||||||
|
This corresponds to the cases $n_{0} + n_{\infty}> \frac{1}{2}$ and $n_{0}> n_{\infty}$ which are exchanged under the parity $P_2$.}
|
||||||
|
\label{fig:Abelian_angles_2}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
|
|
||||||
Under the parity transformation $P_2$ the previous four cases are grouped
|
Under the parity transformation $P_2$ the previous four cases are grouped
|
||||||
@@ -2151,8 +2167,17 @@ when all $m = 0$.
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.8\textwidth}
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
\import{img}{usual_abelian_angles.pdf_tex}
|
\centering
|
||||||
|
\import{tikz}{usual_abelian_angles_a.pgf}
|
||||||
|
\caption{Case 1.}
|
||||||
|
\end{subfigure}
|
||||||
|
\hfill
|
||||||
|
\begin{subfigure}[b]{0.45\linewidth}
|
||||||
|
\centering
|
||||||
|
\import{tikz}{usual_abelian_angles_b.pgf}
|
||||||
|
\caption{Case 2.}
|
||||||
|
\end{subfigure}
|
||||||
\caption{%
|
\caption{%
|
||||||
The geometrical angles used in the usual geometrical approach to the Abelian configuration do not distinguish among the possible branes orientations.
|
The geometrical angles used in the usual geometrical approach to the Abelian configuration do not distinguish among the possible branes orientations.
|
||||||
In fact we have $0 \le \alpha < 1$ and $0 < \varepsilon < 1$.
|
In fact we have $0 \le \alpha < 1$ and $0 < \varepsilon < 1$.
|
||||||
@@ -2552,8 +2577,7 @@ Each term of the action can be interpreted again as an area of a triangle where
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\def\svgwidth{0.35\textwidth}
|
\import{tikz}{brane3d.pgf}
|
||||||
\import{img/}{brane3d.pdf_tex}
|
|
||||||
\caption{%
|
\caption{%
|
||||||
Pictorial $3$-dimensional representation of two D2-branes intersecting in the Euclidean space $\R^3$ along a line (in $\R^4$ the intersection is a point since the co-dimension of each D-brane is 2): since it is no longer constrained on a bi-dimensional plane, the string must be deformed in order to stretch between two consecutive D-branes.
|
Pictorial $3$-dimensional representation of two D2-branes intersecting in the Euclidean space $\R^3$ along a line (in $\R^4$ the intersection is a point since the co-dimension of each D-brane is 2): since it is no longer constrained on a bi-dimensional plane, the string must be deformed in order to stretch between two consecutive D-branes.
|
||||||
Its action can be larger than the planar area.
|
Its action can be larger than the planar area.
|
||||||
|
|||||||
@@ -95,7 +95,7 @@ Their solutions are the ``holomorphic'' functions $\psi_{+}^i(\xi_+)$ and $\psi_
|
|||||||
}
|
}
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.4\linewidth]{img/point-like-defects}
|
\import{tikz}{defects.pgf}
|
||||||
\caption{Propagation of the string in the presence of the worldsheet defects.}
|
\caption{Propagation of the string in the presence of the worldsheet defects.}
|
||||||
\label{fig:point-like-defects}
|
\label{fig:point-like-defects}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
@@ -838,7 +838,7 @@ Finally we get the anti-commutation relations as
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.5\linewidth]{img/complex-plane}
|
\import{tikz}{complex_plane_defects.pgf}
|
||||||
\caption{%
|
\caption{%
|
||||||
Fields are glued on the $x < 0$ semi-axis with non trivial discontinuities for $x_{(t)} < x < x_{(t-1)}$ for $t = 1,\, 2,\, \dots,\, N$ and where $x_{(t)} = \exp( \htau_{E,\, (t)} )$.
|
Fields are glued on the $x < 0$ semi-axis with non trivial discontinuities for $x_{(t)} < x < x_{(t-1)}$ for $t = 1,\, 2,\, \dots,\, N$ and where $x_{(t)} = \exp( \htau_{E,\, (t)} )$.
|
||||||
}
|
}
|
||||||
@@ -1636,7 +1636,7 @@ Moreover notice that for $\rL \le -1$ both $b^{(\rE)}_{\rL \le n \le 0}$ and $b^
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.5\linewidth]{img/in-annihilators.pdf}
|
\import{tikz}{inconsistent_theories.pgf}
|
||||||
\caption{As a consistency condition, we have to exclude the values of
|
\caption{As a consistency condition, we have to exclude the values of
|
||||||
$\rL$ for which both $b^{(
|
$\rL$ for which both $b^{(
|
||||||
E)}_n$ and $b^{*\, ( \brE )}_{\rL + 1 - n}$ are in-annihilators
|
E)}_n$ and $b^{*\, ( \brE )}_{\rL + 1 - n}$ are in-annihilators
|
||||||
|
|||||||
@@ -59,7 +59,7 @@ Thus getting also \hodge{2}{1} from \ml techniques is an important first step to
|
|||||||
Finally regression is also more useful for extrapolating results: a classification approach assumes that we already know all the possible values of the Hodge numbers and has difficulties to predict labels which do not appear in the training set.
|
Finally regression is also more useful for extrapolating results: a classification approach assumes that we already know all the possible values of the Hodge numbers and has difficulties to predict labels which do not appear in the training set.
|
||||||
This is necessary when we move to a dataset for which not all topological quantities have been computed, for instance CY constructed from the Kreuzer--Skarke list of polytopes~\cite{Kreuzer:2000:CompleteClassificationReflexive}.
|
This is necessary when we move to a dataset for which not all topological quantities have been computed, for instance CY constructed from the Kreuzer--Skarke list of polytopes~\cite{Kreuzer:2000:CompleteClassificationReflexive}.
|
||||||
|
|
||||||
The data analysis and \ml are programmed in Python using open-source packages: \texttt{pandas}~\cite{WesMcKinney:2010:DataStructuresStatistical}, \texttt{matplotlib}~\cite{Hunter:2007:Matplotlib2DGraphics}, \texttt{seaborn}~\cite{Waskom:2020:MwaskomSeabornV0}, \texttt{scikit-learn}~\cite{Pedregosa:2011:ScikitlearnMachineLearning}, \texttt{scikit-optimize}~\cite{Head:2020:ScikitoptimizeScikitoptimize}, \texttt{tensorflow}~\cite{Abadi:2015:TensorFlowLargescaleMachine} (and its high level API \emph{Keras}).
|
The data analysis and \ml are programmed in Python using known open-source packages such as \texttt{pandas}~\cite{WesMcKinney:2010:DataStructuresStatistical}, \texttt{matplotlib}~\cite{Hunter:2007:Matplotlib2DGraphics}, \texttt{seaborn}~\cite{Waskom:2020:MwaskomSeabornV0}, \texttt{scikit-learn}~\cite{Pedregosa:2011:ScikitlearnMachineLearning}, \texttt{scikit-optimize}~\cite{Head:2020:ScikitoptimizeScikitoptimize}, \texttt{tensorflow}~\cite{Abadi:2015:TensorFlowLargescaleMachine} (and its high level API \emph{Keras}).
|
||||||
Code is available on \href{https://thesfinox.github.io/ml-cicy/}{Github}.
|
Code is available on \href{https://thesfinox.github.io/ml-cicy/}{Github}.
|
||||||
|
|
||||||
|
|
||||||
@@ -192,14 +192,14 @@ Below we show a list of the \cicy properties and of their configuration matrices
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\begin{subfigure}[c]{.45\linewidth}
|
\begin{subfigure}[b]{.45\linewidth}
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=\linewidth, trim={0 0.45in 6in 0}, clip]{img/label-distribution_orig}
|
\includegraphics[width=\linewidth, trim={0 0.45in 6in 0}, clip]{img/label-distribution_orig}
|
||||||
\caption{\hodge{1}{1}}
|
\caption{\hodge{1}{1}}
|
||||||
\label{fig:data:hist-h11}
|
\label{fig:data:hist-h11}
|
||||||
\end{subfigure}
|
\end{subfigure}
|
||||||
\hfill
|
\hfill
|
||||||
\begin{subfigure}[c]{.45\linewidth}
|
\begin{subfigure}[b]{.45\linewidth}
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=\linewidth, trim={6in 0.45in 0 0}, clip]{img/label-distribution_orig}
|
\includegraphics[width=\linewidth, trim={6in 0.45in 0 0}, clip]{img/label-distribution_orig}
|
||||||
\caption{\hodge{2}{1}}
|
\caption{\hodge{2}{1}}
|
||||||
|
|||||||
@@ -1020,7 +1020,7 @@ Using the same network we also achieve \SI{97}{\percent} of accuracy in the favo
|
|||||||
\centering
|
\centering
|
||||||
\begin{subfigure}[c]{0.475\linewidth}
|
\begin{subfigure}[c]{0.475\linewidth}
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=\linewidth]{img/fc}
|
\import{tikz}{fc.pgf}
|
||||||
\caption{Architecture of the network.}
|
\caption{Architecture of the network.}
|
||||||
\label{fig:nn:dense}
|
\label{fig:nn:dense}
|
||||||
\end{subfigure}
|
\end{subfigure}
|
||||||
@@ -1099,7 +1099,7 @@ The convolution layers have $180$, $100$, $40$ and $20$ units each.
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.75\linewidth]{img/ccnn}
|
\import{tikz}{ccnn.pgf}
|
||||||
\caption{%
|
\caption{%
|
||||||
Pure convolutional neural network for redicting \hodge{1}{1}.
|
Pure convolutional neural network for redicting \hodge{1}{1}.
|
||||||
It is made of $4$ modules composed by convolutional layer, ReLU activation, batch normalisation (in this order), followed by a dropout layer, a flatten layer and the output layer (in this order).
|
It is made of $4$ modules composed by convolutional layer, ReLU activation, batch normalisation (in this order), followed by a dropout layer, a flatten layer and the output layer (in this order).
|
||||||
@@ -1204,7 +1204,7 @@ The callbacks helped to contain the training time (without optimisation) under 5
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.9\linewidth]{img/icnn}
|
\resizebox{\linewidth}{!}{\import{tikz}{icnn.pgf}}
|
||||||
\caption{%
|
\caption{%
|
||||||
In each concatenation module (here shown for the ``old'' dataset) we operate with separate convolution operations over rows and columns, then concatenate the results.
|
In each concatenation module (here shown for the ``old'' dataset) we operate with separate convolution operations over rows and columns, then concatenate the results.
|
||||||
The overall architecture is composed of 3 ``inception'' modules made by two separate convolutions, a concatenation layer and a batch normalisation layer (strictly in this order), followed by a dropout layer, a flatten layer and the output layer with ReLU activation (in this order).
|
The overall architecture is composed of 3 ``inception'' modules made by two separate convolutions, a concatenation layer and a batch normalisation layer (strictly in this order), followed by a dropout layer, a flatten layer and the output layer with ReLU activation (in this order).
|
||||||
@@ -1374,7 +1374,7 @@ Another reason is that the different algorithms may perform similarly well in th
|
|||||||
|
|
||||||
\begin{figure}[tbp]
|
\begin{figure}[tbp]
|
||||||
\centering
|
\centering
|
||||||
\includegraphics[width=0.65\linewidth]{img/stacking}
|
\resizebox{0.65\linewidth}{!}{\import{tikz}{stacking.pgf}}
|
||||||
\caption{Stacking ensemble learning with two level learning.}
|
\caption{Stacking ensemble learning with two level learning.}
|
||||||
\label{fig:stack:def}
|
\label{fig:stack:def}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
|
|||||||
20
tikz/abelian_angles_case1_a.pgf
Normal file
20
tikz/abelian_angles_case1_a.pgf
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (0.2cm, -0.3cm) -- (4.1cm, 3.1cm) node[anchor=west] {$D_{(1)}$};
|
||||||
|
\draw[thick] (4.5cm, -0.4cm) -- (1cm, 2.4cm) node[anchor=east] {$D_{(2)}$};
|
||||||
|
\draw[thick] (0cm, 0cm) -- (5cm, 0cm) node[anchor=north west] {$D_{(3)}$};
|
||||||
|
|
||||||
|
% draw angles
|
||||||
|
\draw[dashed, ->] (1.25cm, 0cm) arc (0:45:0.6cm);
|
||||||
|
\draw[dashed, <-] (4.5cm, 0cm) arc (0:130:0.6cm);
|
||||||
|
\draw[dashed, ->] (2.6cm, 1.85cm) arc (45:135:0.6cm);
|
||||||
|
|
||||||
|
% draw names
|
||||||
|
\node[anchor=north] at (1.25, 0cm) {$n_{0}^3 > 0$};
|
||||||
|
\node[anchor=south west] at (4.5cm, 0cm) {$n_{1}^3 < 0$};
|
||||||
|
\node[anchor=north west] at (2.9cm, 1.85cm) {$n_{\infty}^3 > 0$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
20
tikz/abelian_angles_case1_b.pgf
Normal file
20
tikz/abelian_angles_case1_b.pgf
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (0.2cm, -0.3cm) -- (4.1cm, 3.1cm) node[anchor=west] {$D_{(1)}$};
|
||||||
|
\draw[thick] (4.5cm, -0.4cm) -- (1cm, 2.4cm) node[anchor=east] {$D_{(2)}$};
|
||||||
|
\draw[thick] (0cm, 0cm) -- (5cm, 0cm) node[anchor=north west] {$D_{(3)}$};
|
||||||
|
|
||||||
|
% draw angles
|
||||||
|
\draw[dashed, ->] (1.25cm, 0cm) arc (0:45:0.6cm);
|
||||||
|
\draw[dashed, <-] (4.4cm, -0.3cm) arc (320:360:0.6cm);
|
||||||
|
\draw[dashed, <-] (2.7cm, 1.05cm) arc (-50:50:0.6cm);
|
||||||
|
|
||||||
|
% draw names
|
||||||
|
\node[anchor=north] at (1.25, 0cm) {$n_{0}^3 > 0$};
|
||||||
|
\node[anchor=south west] at (4.5cm, 0cm) {$n_{1}^3 < 0$};
|
||||||
|
\node[anchor=north west] at (2.9cm, 1.85cm) {$n_{\infty}^3 > 0$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
20
tikz/abelian_angles_case2_a.pgf
Normal file
20
tikz/abelian_angles_case2_a.pgf
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (-0.1cm, -0.6cm) -- (5.4cm, 3.5cm) node[anchor=south] {$D_{(1)}$};
|
||||||
|
\draw[thick] (3cm, -0.4cm) -- (5cm, 4.4cm) node[anchor=east] {$D_{(2)}$};
|
||||||
|
\draw[thick] (-0.5cm, 0cm) -- (5cm, 0cm) node[anchor=north west] {$D_{(3)}$};
|
||||||
|
|
||||||
|
% draw angles
|
||||||
|
\draw[dashed, ->] (3.75cm, 0cm) arc (0:65:0.6cm);
|
||||||
|
\draw[dashed, <-] (-0.1cm, 0cm) arc (180:225:0.6cm);
|
||||||
|
\draw[dashed, ->] (4.5cm, 3.35cm) arc (75:220:0.6cm);
|
||||||
|
|
||||||
|
% draw names
|
||||||
|
\node[anchor=north] at (4.5, 1cm) {$n_{0}^3 > 0$};
|
||||||
|
\node[anchor=south west] at (-0.5cm, 0.2cm) {$n_{1}^3 < 0$};
|
||||||
|
\node[anchor=north west] at (2cm, 3.25cm) {$n_{\infty}^3 > 0$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
20
tikz/abelian_angles_case2_b.pgf
Normal file
20
tikz/abelian_angles_case2_b.pgf
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (-0.1cm, -0.6cm) -- (5.4cm, 3.5cm) node[anchor=south] {$D_{(1)}$};
|
||||||
|
\draw[thick] (3cm, -0.4cm) -- (5cm, 4.4cm) node[anchor=east] {$D_{(2)}$};
|
||||||
|
\draw[thick] (-0.5cm, 0cm) -- (5cm, 0cm) node[anchor=north west] {$D_{(3)}$};
|
||||||
|
|
||||||
|
% draw angles
|
||||||
|
\draw[dashed, ->] (3.75cm, 0cm) arc (0:65:0.6cm);
|
||||||
|
\draw[dashed, <-] (1.5cm, 0cm) arc (0:45:0.6cm);
|
||||||
|
\draw[dashed, <-] (4.9cm, 3.15cm) arc (25:67:0.6cm);
|
||||||
|
|
||||||
|
% draw names
|
||||||
|
\node[anchor=north] at (4.5, 1cm) {$n_{0}^3 > 0$};
|
||||||
|
\node[anchor=south west] at (-0.5cm, 0.2cm) {$n_{1}^3 > 0$};
|
||||||
|
\node[anchor=north west] at (2cm, 3.25cm) {$n_{\infty}^3 < 0$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
32
tikz/branchcuts.pgf
Normal file
32
tikz/branchcuts.pgf
Normal file
@@ -0,0 +1,32 @@
|
|||||||
|
\usetikzlibrary{decorations.pathreplacing}
|
||||||
|
\usetikzlibrary{decorations.pathmorphing}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw axis
|
||||||
|
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$x$};
|
||||||
|
\draw[thick, ->] (-0.4cm, -1cm) -- (-0.4cm, 3cm) node[anchor=east] {$y$};
|
||||||
|
|
||||||
|
% draw branching cuts
|
||||||
|
\filldraw[fill=black!50, draw=black, dashed] (-2cm, 3pt) rectangle (2.5cm, -3pt);
|
||||||
|
\filldraw[fill=black!30, draw=black, dashed] (-0.75cm, 2pt) rectangle (2.5cm, -2pt);
|
||||||
|
\filldraw[fill=black!10, draw=black, dashed] (1cm, 1pt) rectangle (2.5cm, -1pt);
|
||||||
|
|
||||||
|
% draw branching points
|
||||||
|
\filldraw[fill=white, draw=black] (2.5cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x1) {$x_{(1)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (1cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x2) {$x_{(2)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (-0.75cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x3) {$x_{(3)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (-2cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x4) {$x_{(4)}$};
|
||||||
|
|
||||||
|
% assign the D-branes
|
||||||
|
\draw[thin, decorate, decoration={brace}] (1cm, 0.3cm) -- (2.5cm, 0.3cm) node[midway, anchor=south] {$D_{(2)}$};
|
||||||
|
\draw[thin, decorate, decoration={brace}] (-0.75cm, 0.3cm) -- (1cm, 0.3cm) node[midway, anchor=south] {$D_{(3)}$};
|
||||||
|
\draw[thin, decorate, decoration={brace}] (-2cm, 0.3cm) -- (-0.75cm, 0.3cm) node[midway, anchor=south] {$D_{(4)}$};
|
||||||
|
|
||||||
|
% draw the remaining D-brane
|
||||||
|
\draw[thin, ->, dash pattern=on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 1cm] (-2cm, 2pt) -- (-2cm, 1cm)-- (-2.75cm, 1cm) node[midway, anchor=south] {$D_{(1)}$} ;
|
||||||
|
\draw[thin, ->, dash pattern=on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 1cm] (2.5cm, 2pt) -- (2.5cm, 1cm)-- (3cm, 1cm) node[midway, anchor=south] {$D_{(1)}$} ;
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
25
tikz/brane3d.pgf
Normal file
25
tikz/brane3d.pgf
Normal file
@@ -0,0 +1,25 @@
|
|||||||
|
\usetikzlibrary{decorations.pathmorphing}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw branes
|
||||||
|
\draw[thick] (-0.35cm, 0cm) -- (-3cm, -2cm) -- (-3cm, 3cm) -- (1cm, 5cm) -- (1cm, 4cm);
|
||||||
|
\draw[dashed] (1cm, 4cm) -- (1cm, 1cm) -- (-0.35cm, 0cm);
|
||||||
|
|
||||||
|
\draw[thick] (-3cm, 2cm) -- (-4cm, 4cm) -- (1.5cm, 4cm) -- (3.5cm, 0cm) -- (-0.35cm, 0cm);
|
||||||
|
\draw[dashed] (-3cm, 2cm) -- (-2cm, 0cm) -- (-0.35cm, 0cm);
|
||||||
|
|
||||||
|
\draw[dotted] (-0.35cm, 0cm) -- (-1cm, 4.01cm);
|
||||||
|
|
||||||
|
% draw names
|
||||||
|
\node[anchor=base] at (0.15cm, 5cm) {$D_{(t)}$};
|
||||||
|
\node[anchor=base] at (2.5cm, -0.5cm) {$D_{(t+1)}$};
|
||||||
|
|
||||||
|
% draw string
|
||||||
|
\draw[thick, decorate, decoration={snake, segment length=1cm}] (1.5cm, 2cm) .. controls (1.1cm, 1.1cm) and (-1cm, 0.1cm) .. (-1.8cm, 0.3cm);
|
||||||
|
\filldraw[fill=black, draw=black] (1.5cm, 2cm) circle (2pt);
|
||||||
|
\filldraw[fill=black, draw=black] (-1.8cm, 0.3cm) circle (2pt);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
@@ -28,7 +28,7 @@
|
|||||||
|
|
||||||
\draw[thin, <-] (2.6cm, -2.12cm) arc (0:30:0.4cm) node[anchor=south] {$\pi \alpha_{(1)}$};
|
\draw[thin, <-] (2.6cm, -2.12cm) arc (0:30:0.4cm) node[anchor=south] {$\pi \alpha_{(1)}$};
|
||||||
\draw[thin, <-] (-2.1cm, -1.5cm) arc (250:360:0.4cm) node[anchor=south west] {$\pi \alpha_{(2)}$};
|
\draw[thin, <-] (-2.1cm, -1.5cm) arc (250:360:0.4cm) node[anchor=south west] {$\pi \alpha_{(2)}$};
|
||||||
\draw[thin, <-] (1.1cm, 2.4cm) arc (0:100:0.4cm) node[anchor=south] {$\pi \alpha_{(3)}$};
|
\draw[thin, ->] (1.1cm, 2.4cm) arc (0:100:0.4cm) node[anchor=south] {$\pi \alpha_{(3)}$};
|
||||||
|
|
||||||
\end{tikzpicture}
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
|||||||
96
tikz/ccnn.pgf
Normal file
96
tikz/ccnn.pgf
Normal file
@@ -0,0 +1,96 @@
|
|||||||
|
%\newlength{\layer}
|
||||||
|
\newlength{\layerheight}
|
||||||
|
\newlength{\perspective}
|
||||||
|
\newlength{\filters}
|
||||||
|
%\newlength{\unit}
|
||||||
|
|
||||||
|
\setlength{\layer}{3cm}
|
||||||
|
\setlength{\layerheight}{3cm}
|
||||||
|
\setlength{\perspective}{1cm}
|
||||||
|
\setlength{\filters}{0.01cm}
|
||||||
|
\setlength{\unit}{0.225cm}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% first layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, 0cm) -- (\layer + 180 * \filters, 0cm) -- (\layer + 180 * \filters + \perspective, \perspective) -- (\layer + \perspective, \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer + \perspective, \perspective) -- (\layer + 180 * \filters + \perspective, \perspective) -- (\layer + 180 * \filters + \perspective, \perspective + \layerheight) -- (\layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, 0cm) -- (\layer + \perspective, \perspective) -- (\layer + \perspective, \perspective + \layerheight) -- (\layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, 0cm) -- (\layer + 180 * \filters, 0cm) -- (\layer + 180 * \filters, \layerheight) -- (\layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer + 180 * \filters, 0cm) -- (\layer + 180 * \filters + \perspective, \perspective) -- (\layer + 180 * \filters + \perspective, \perspective + \layerheight) -- (\layer + 180 * \filters, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \layerheight) -- (\layer + 180 * \filters, \layerheight) -- (\layer + 180 * \filters + \perspective, \perspective + \layerheight) -- (\layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=north west, scale=0.65] at (\layer, 0cm) {$180 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% second layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, 0cm) -- (2 * \layer + 100 * \filters, 0cm) -- (2 * \layer + 100 * \filters + \perspective, \perspective) -- (2 * \layer + \perspective, \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer + \perspective, \perspective) -- (2 * \layer + 100 * \filters + \perspective, \perspective) -- (2 * \layer + 100 * \filters + \perspective, \perspective + \layerheight) -- (2 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, 0cm) -- (2 * \layer + \perspective, \perspective) -- (2 * \layer + \perspective, \perspective + \layerheight) -- (2 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, 0cm) -- (2 * \layer + 100 * \filters, 0cm) -- (2 * \layer + 100 * \filters, \layerheight) -- (2 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters, 0cm) -- (2 * \layer + 100 * \filters + \perspective, \perspective) -- (2 * \layer + 100 * \filters + \perspective, \perspective + \layerheight) -- (2 * \layer + 100 * \filters, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, \layerheight) -- (2 * \layer + 100 * \filters, \layerheight) -- (2 * \layer + 100 * \filters + \perspective, \perspective + \layerheight) -- (2 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=north west, scale=0.65] at (2 * \layer, 0cm) {$100 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% third layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, 0cm) -- (3 * \layer + 40 * \filters, 0cm) -- (3 * \layer + 40 * \filters + \perspective, \perspective) -- (3 * \layer + \perspective, \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + \perspective, \perspective) -- (3 * \layer + 40 * \filters + \perspective, \perspective) -- (3 * \layer + 40 * \filters + \perspective, \perspective + \layerheight) -- (3 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, 0cm) -- (3 * \layer + \perspective, \perspective) -- (3 * \layer + \perspective, \perspective + \layerheight) -- (3 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, 0cm) -- (3 * \layer + 40 * \filters, 0cm) -- (3 * \layer + 40 * \filters, \layerheight) -- (3 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters, 0cm) -- (3 * \layer + 40 * \filters + \perspective, \perspective) -- (3 * \layer + 40 * \filters + \perspective, \perspective + \layerheight) -- (3 * \layer + 40 * \filters, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \layerheight) -- (3 * \layer + 40 * \filters, \layerheight) -- (3 * \layer + 40 * \filters + \perspective, \perspective + \layerheight) -- (3 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=north west, scale=0.65] at (3 * \layer, 0cm) {$40 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% fourth layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, 0cm) -- (4 * \layer + 20 * \filters, 0cm) -- (4 * \layer + 20 * \filters + \perspective, \perspective) -- (4 * \layer + \perspective, \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer + \perspective, \perspective) -- (4 * \layer + 20 * \filters + \perspective, \perspective) -- (4 * \layer + 20 * \filters + \perspective, \perspective + \layerheight) -- (4 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, 0cm) -- (4 * \layer + \perspective, \perspective) -- (4 * \layer + \perspective, \perspective + \layerheight) -- (4 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, 0cm) -- (4 * \layer + 20 * \filters, 0cm) -- (4 * \layer + 20 * \filters, \layerheight) -- (4 * \layer, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer + 20 * \filters, 0cm) -- (4 * \layer + 20 * \filters + \perspective, \perspective) -- (4 * \layer + 20 * \filters + \perspective, \perspective + \layerheight) -- (4 * \layer + 20 * \filters, \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, \layerheight) -- (4 * \layer + 20 * \filters, \layerheight) -- (4 * \layer + 20 * \filters + \perspective, \perspective + \layerheight) -- (4 * \layer + \perspective, \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=north west, scale=0.65] at (4 * \layer, 0cm) {$20 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% flatten layer
|
||||||
|
\foreach \x in {2,...,7} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (4 * \layer + 3cm, 0.5cm * \x) circle (\unit);
|
||||||
|
\draw (4 * \layer + 3cm + \unit, 0.5cm * \x) -- (5 * \layer + 2cm - \unit, 2.5cm);
|
||||||
|
};
|
||||||
|
\node[anchor=north, scale=0.5, below=15pt, align=center] at (4 * \layer + 3cm, 1cm) {flatten};
|
||||||
|
|
||||||
|
% output layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (5 * \layer + 2cm, 2.5cm - \unit) -- (5 * \layer + 2cm, 2.5cm) circle (\unit) -- (5 * \layer + 2cm, 2.5cm + \unit);
|
||||||
|
\draw (5 * \layer + 2cm + 0.05cm, 2.5cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {output layer [1 unit]} -- (5 * \layer + 2cm + 0.10cm, 2.5cm) -- (5 * \layer + 2cm + 0.15cm, 2.5cm + 0.05cm);
|
||||||
|
|
||||||
|
% draw first convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (\layer + 180 * \filters, \layerheight) -- (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- (\layer + 180 * \filters, \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (2 * \layer, 0.8 * \layerheight) -- (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (\layer + 180 * \filters, \layerheight - 0.3 * \layerheight) -- (2 * \layer, 0.8 * \layerheight) -- (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (\layer + 180 * \filters, \layerheight) -- (2 * \layer, 0.8 * \layerheight) -- (\layer + 180 * \filters, \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (\layer + 180 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (2 * \layer, 0.8 * \layerheight) -- (\layer + 180 * \filters, \layerheight) -- cycle;
|
||||||
|
|
||||||
|
% draw second convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters, 0.4 * \layerheight) -- (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective) -- (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- (2 * \layer + 100 * \filters, 0.4 * \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective) -- (3 * \layer, 0.2 * \layerheight) -- (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters, 0.4 * \layerheight - 0.3 * \layerheight) -- (3 * \layer, 0.2 * \layerheight) -- (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters, 0.4 * \layerheight) -- (3 * \layer, 0.2 * \layerheight) -- (2 * \layer + 100 * \filters, 0.4 * \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (2 * \layer + 100 * \filters + 0.4 * \perspective, 0.4 * \layerheight + 0.4 * \perspective) -- (3 * \layer, 0.2 * \layerheight) -- (2 * \layer + 100 * \filters, 0.4 * \layerheight) -- cycle;
|
||||||
|
|
||||||
|
% draw third convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters, 0.6 * \layerheight) -- (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective) -- (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- (3 * \layer + 40 * \filters, 0.6 * \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective) -- (4 * \layer, 0.3 * \layerheight) -- (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters, 0.6 * \layerheight - 0.3 * \layerheight) -- (4 * \layer, 0.3 * \layerheight) -- (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters, 0.6 * \layerheight) -- (4 * \layer, 0.3 * \layerheight) -- (3 * \layer + 40 * \filters, 0.6 * \layerheight - 0.3 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.5] (3 * \layer + 40 * \filters + 0.4 * \perspective, 0.6 * \layerheight + 0.4 * \perspective) -- (4 * \layer, 0.3 * \layerheight) -- (3 * \layer + 40 * \filters, 0.6 * \layerheight) -- cycle;
|
||||||
|
|
||||||
|
% draw the "flatenisation"
|
||||||
|
\draw[dashed] (4 * \layer + 20 * \filters, \layerheight) -- (4 * \layer + 3 cm, 3.5cm + \unit) -- (4 * \layer + 20 * \filters + \perspective, \layerheight + \perspective) -- cycle;
|
||||||
|
\draw[dashed] (4 * \layer + 20 * \filters, 0cm) -- (4 * \layer + 3 cm, 1cm - \unit) -- (4 * \layer + 20 * \filters + \perspective, \perspective) -- cycle;
|
||||||
|
|
||||||
|
% hidden layer labels
|
||||||
|
\node[anchor=base, align=center, text width=3.9cm, scale=0.75] (c) at (11cm, 5.5cm) {convolutional layers ($5 \times 5$ kernel, ReLU activation)};
|
||||||
|
\draw[->] (c) -- (\layer + 180 * \filters + \perspective, \layerheight + \perspective + \unit);
|
||||||
|
\draw[->] (c) -- (2 * \layer + 100 * \filters + \perspective, \layerheight + \perspective + \unit);
|
||||||
|
\draw[->] (c) -- (3 * \layer + 40 * \filters + \perspective, \layerheight + \perspective + \unit);
|
||||||
|
\draw[->] (c) -- (4 * \layer + 0.5 * \perspective, \layerheight + \perspective + \unit);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=texft=texft=texft=texft=texx
|
||||||
@@ -1,22 +1,19 @@
|
|||||||
\usetikzlibrary{decorations.markings}
|
\begin{tikzpicture}
|
||||||
\usetikzlibrary{arrows}
|
|
||||||
|
|
||||||
\begin{tikzpicture}
|
|
||||||
|
|
||||||
% draw axis
|
% draw axis
|
||||||
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\Re z$};
|
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\Re z$};
|
||||||
\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] {$\Im z$};
|
\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] {$\Im z$};
|
||||||
|
|
||||||
% draw closed loops
|
% draw closed loops
|
||||||
\draw[dotted, decorate, decoration={markings, mark=at position 0.0 with {\arrow{latex}}}] (0cm, 0cm) circle [radius=1.0cm];
|
\draw[dotted, -latex] (1cm, 0cm) arc (0:360:1cm);
|
||||||
\draw[dotted, decorate, decoration={markings, mark=at position 0.0 with {\arrow{latex}}}] (0cm, 0cm) circle [radius=2.5cm];
|
\draw[dotted, -latex] (2.5cm, 0cm) arc (0:360:2.5cm);
|
||||||
|
|
||||||
% draw arrows
|
% draw arrows
|
||||||
\draw[-latex] (0,0) -- (1.75cm, 1.75cm) node[anchor=south west] (z1) {$\abs{z_{(1)}} = e^{\tau_{E\, (1)}}$};
|
\draw[-latex] (0,0) -- (1.75cm, 1.75cm) node[anchor=south] (z1) {$\abs{z_{(1)}} = e^{\tau_{E\, (1)}}$};
|
||||||
\draw[-latex] (0,0) -- (0.45cm, -0.9cm) node[anchor=north west] (z0) {$\abs{z_{(0)}} = e^{\tau_{E\, (0)}}$};
|
\draw[-latex] (0,0) -- (0.45cm, -0.9cm) node[anchor=north] (z0) {$\abs{z_{(0)}} = e^{\tau_{E\, (0)}}$};
|
||||||
|
|
||||||
% draw isolated point
|
% draw isolated point
|
||||||
\draw[fill] (-1.5cm, 1.1cm) circle [radius=2pt] node[anchor=south west] (w) {$w$};
|
\draw[fill] (-1.5cm, 1.1cm) circle (2pt) node[anchor=south west] (w) {$w$};
|
||||||
|
|
||||||
% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
|
% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
|
||||||
\node (c0) at (-0.7cm, -1.2cm) {$\ccC_{(0)}$};
|
\node (c0) at (-0.7cm, -1.2cm) {$\ccC_{(0)}$};
|
||||||
|
|||||||
21
tikz/complex_plane_defects.pgf
Normal file
21
tikz/complex_plane_defects.pgf
Normal file
@@ -0,0 +1,21 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw axis
|
||||||
|
\draw[thick, ->] (-3cm, 0cm) node[anchor=north] {$0$} -- (2.5cm, 0cm) node[anchor=south] {$x$};
|
||||||
|
\draw[thick, ->] (-2.75cm, -1cm) -- (-2.75cm, 3cm) node[anchor=east] {$y$};
|
||||||
|
|
||||||
|
% draw branching cuts
|
||||||
|
\filldraw[fill=black!30, draw=black, dashed] (-2cm, 2pt) rectangle (2.25cm, -2pt);
|
||||||
|
\filldraw[fill=black!10, draw=black, dashed] (0.25cm, 1pt) rectangle (2.25cm, -1pt);
|
||||||
|
|
||||||
|
% draw branching points
|
||||||
|
\filldraw[fill=white, draw=black] (-2cm, 0cm) circle (2pt) node[anchor=north] {$x_{(t+1)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (0.25cm, 0cm) circle (2pt) node[anchor=north] {$x_{(t)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (2.25cm, 0cm) circle (2pt) node[anchor=north] {$x_{(t-1)}$};
|
||||||
|
|
||||||
|
% draw closed loop
|
||||||
|
\draw[dotted, ->] (1cm, 2pt) arc (0:350:0.75cm);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
29
tikz/defects.pgf
Normal file
29
tikz/defects.pgf
Normal file
@@ -0,0 +1,29 @@
|
|||||||
|
\usetikzlibrary{decorations.pathmorphing}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw axis
|
||||||
|
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\tau$};
|
||||||
|
\draw[thick, ->] (-0.75cm, -1cm) -- (-0.75cm, 3cm) node[anchor=east] {$\sigma$};
|
||||||
|
|
||||||
|
% draw defects
|
||||||
|
\filldraw[fill=white, draw=black] (-2cm, 0cm) circle (2pt) node[anchor=north] {$\htau_{(t+1)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (0.25cm, 0cm) circle (2pt) node[anchor=north] {$\htau_{(t)}$};
|
||||||
|
\filldraw[fill=white, draw=black] (2.25cm, 0cm) circle (2pt) node[anchor=north] {$\htau_{(t-1)}$};
|
||||||
|
|
||||||
|
% draw the endlines
|
||||||
|
\draw[dotted] (-2cm, 2pt) -- (-2cm, 2cm);
|
||||||
|
\draw[dotted] (0.25cm, 2pt) -- (0.25cm, 2cm);
|
||||||
|
\draw[dotted] (2.25cm, 2pt) -- (2.25cm, 2cm);
|
||||||
|
|
||||||
|
% draw the second D-brane
|
||||||
|
\draw[dashed] (-3cm, 2cm) -- (3cm, 2cm);
|
||||||
|
\node[anchor=south west] at (-0.75cm, 2cm) {$\pi$};
|
||||||
|
|
||||||
|
% draw the string
|
||||||
|
\draw[decorate, decoration={snake, segment length=0.75cm}] (1cm, 0cm) -- (1cm, 2cm);
|
||||||
|
\draw[->] (1.1cm, 1cm) -- (1.6cm, 1cm);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
160
tikz/fc.pgf
Normal file
160
tikz/fc.pgf
Normal file
@@ -0,0 +1,160 @@
|
|||||||
|
\newlength{\unit}
|
||||||
|
\newlength{\layer}
|
||||||
|
|
||||||
|
\setlength{\unit}{0.225cm}
|
||||||
|
\setlength{\layer}{1cm}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw the first layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (\layer, -0.75cm - \unit) -- (\layer, -0.75cm) circle (\unit) -- (\layer, -0.75cm + \unit);
|
||||||
|
\draw (\layer + 0.05cm, -0.75cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [876 units]} -- (\layer + 0.10cm, -0.75cm) -- (\layer + 0.15cm, -0.75cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (\layer, -0.75cm + 1.25 * \unit) {$\vdots$};
|
||||||
|
|
||||||
|
\foreach \x in {0,...,5} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (\layer, 0.5cm * \x - \unit) -- (\layer, 0.5cm * \x) circle (\unit) -- (\layer, 0.5cm * \x + \unit);
|
||||||
|
\draw (\layer + 0.05cm, 0.5cm * \x) -- (\layer + 0.10cm, 0.5cm * \x) -- (\layer + 0.15cm, 0.5cm * \x + 0.05cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (\layer, 3.25cm - \unit) -- (\layer, 3.25cm) circle (\unit) -- (\layer, 3.25cm + \unit);
|
||||||
|
\draw (\layer + 0.05cm, 3.25cm) -- (\layer + 0.10cm, 3.25cm) -- (\layer + 0.15cm, 3.25cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (\layer, 3.25cm - 2\unit) {$\vdots$};
|
||||||
|
|
||||||
|
% draw the second layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (2 * \layer, -\unit) -- (2 * \layer, 0cm) circle (\unit) -- (2 * \layer, \unit);
|
||||||
|
\draw (2 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [461 units]} -- (2 * \layer + 0.10cm, 0cm) -- (2 * \layer + 0.15cm, 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (2 * \layer, 1.25 * \unit) {$\vdots$};
|
||||||
|
|
||||||
|
\foreach \x in {1.5,...,3.5} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 0.5cm * \x - \unit) -- (2 * \layer, 0.5cm * \x) circle (\unit) -- (2 * \layer, 0.5cm * \x + \unit);
|
||||||
|
\draw (2 * \layer + 0.05cm, 0.5cm * \x) -- (2 * \layer + 0.10cm, 0.5cm * \x) -- (2 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (2 * \layer, 2.5cm - \unit) -- (2 * \layer, 2.5cm) circle (\unit) -- (2 * \layer, 2.5cm + \unit);
|
||||||
|
\draw (2 * \layer + 0.05cm, 2.5cm) -- (2 * \layer + 0.10cm, 2.5cm) -- (2 * \layer + 0.15cm, 2.5cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (2 * \layer, 2.5cm - 2\unit) {$\vdots$};
|
||||||
|
|
||||||
|
% draw the third layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (3 * \layer, -\unit) -- (3 * \layer, 0cm) circle (\unit) -- (3 * \layer, \unit);
|
||||||
|
\draw (3 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [437 units]} -- (3 * \layer + 0.10cm, 0cm) -- (3 * \layer + 0.15cm, 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (3 * \layer, 1.25 * \unit) {$\vdots$};
|
||||||
|
|
||||||
|
\foreach \x in {1.5,...,3.5} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 0.5cm * \x - \unit) -- (3 * \layer, 0.5cm * \x) circle (\unit) -- (3 * \layer, 0.5cm * \x + \unit);
|
||||||
|
\draw (3 * \layer + 0.05cm, 0.5cm * \x) -- (3 * \layer + 0.10cm, 0.5cm * \x) -- (3 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (3 * \layer, 2.5cm - \unit) -- (3 * \layer, 2.5cm) circle (\unit) -- (3 * \layer, 2.5cm + \unit);
|
||||||
|
\draw (3 * \layer + 0.05cm, 2.5cm) -- (3 * \layer + 0.10cm, 2.5cm) -- (3 * \layer + 0.15cm, 2.5cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (3 * \layer, 2.5cm - 2\unit) {$\vdots$};
|
||||||
|
|
||||||
|
% draw the fourth layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (4 * \layer, -0.75cm - \unit) -- (4 * \layer, -0.75cm) circle (\unit) -- (4 * \layer, -0.75cm + \unit);
|
||||||
|
\draw (4 * \layer + 0.05cm, -0.75cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [929 units]} -- (4 * \layer + 0.10cm, -0.75cm) -- (4 * \layer + 0.15cm, -0.75cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (4 * \layer, -0.75cm + 1.25 * \unit) {$\vdots$};
|
||||||
|
|
||||||
|
\foreach \x in {0,...,5} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 0.5cm * \x - \unit) -- (4 * \layer, 0.5cm * \x) circle (\unit) -- (4 * \layer, 0.5cm * \x + \unit);
|
||||||
|
\draw (4 * \layer + 0.05cm, 0.5cm * \x) -- (4 * \layer + 0.10cm, 0.5cm * \x) -- (4 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (4 * \layer, 3.25cm - \unit) -- (4 * \layer, 3.25cm) circle (\unit) -- (4 * \layer, 3.25cm + \unit);
|
||||||
|
\draw (4 * \layer + 0.05cm, 3.25cm) -- (4 * \layer + 0.10cm, 3.25cm) -- (4 * \layer + 0.15cm, 3.25cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (4 * \layer, 3.25cm - 2\unit) {$\vdots$};
|
||||||
|
|
||||||
|
% draw the fifth layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (5 * \layer, -\unit) -- (5 * \layer, 0cm) circle (\unit) -- (5 * \layer, \unit);
|
||||||
|
\draw (5 * \layer + 0.05cm, 0cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {FC layer [404 units]} -- (5 * \layer + 0.10cm, 0cm) -- (5 * \layer + 0.15cm, 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (5 * \layer, 1.25 * \unit) {$\vdots$};
|
||||||
|
|
||||||
|
\foreach \x in {1.5,...,3.5} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 0.5cm * \x - \unit) -- (5 * \layer, 0.5cm * \x) circle (\unit) -- (5 * \layer, 0.5cm * \x + \unit);
|
||||||
|
\draw (5 * \layer + 0.05cm, 0.5cm * \x) -- (5 * \layer + 0.10cm, 0.5cm * \x) -- (5 * \layer + 0.15cm, 0.5cm * \x + 0.05cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (5 * \layer, 2.5cm - \unit) -- (5 * \layer, 2.5cm) circle (\unit) -- (5 * \layer, 2.5cm + \unit);
|
||||||
|
\draw (5 * \layer + 0.05cm, 2.5cm) -- (5 * \layer + 0.10cm, 2.5cm) -- (5 * \layer + 0.15cm, 2.5cm + 0.05cm);
|
||||||
|
\node[anchor=base, scale=0.35] at (5 * \layer, 2.5cm - 2\unit) {$\vdots$};
|
||||||
|
|
||||||
|
% draw the output layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (6 * \layer, 1.25cm - \unit) -- (6 * \layer, 1.25cm) circle (\unit) -- (6 * \layer, 1.25cm + \unit);
|
||||||
|
\draw (6 * \layer + 0.05cm, 1.25cm) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {output layer [1 unit]} -- (6 * \layer + 0.10cm, 1.25cm) -- (6 * \layer + 0.15cm, 1.25cm + 0.05cm);
|
||||||
|
|
||||||
|
% draw weights 1 --> 2 and 4 --> 5
|
||||||
|
\foreach \x in {\layer, 4 * \layer} {
|
||||||
|
\foreach \y in {-0.75cm, 3.25cm} {
|
||||||
|
\foreach \z in {0cm, 2.5cm} {
|
||||||
|
\draw (\x + \unit, \y) -- (\x + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {0,...,5} {
|
||||||
|
\foreach \z in {1.5,...,3.5} {
|
||||||
|
\draw (\x + \unit, 0.5cm * \y) -- (\x + \layer - \unit, 0.5cm * \z);
|
||||||
|
};
|
||||||
|
\foreach \z in {0cm, 2.5cm} {
|
||||||
|
\draw (\x + \unit, 0.5 * \y) -- (\x + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {1.5,...,3.5} {
|
||||||
|
\draw (\x + \unit, 3.25cm) -- (\x + \layer - \unit, 0.5cm * \y);
|
||||||
|
\draw (\x + \unit, -0.75cm) -- (\x + \layer - \unit, 0.5cm * \y);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
|
||||||
|
% draw weights 2 --> 3
|
||||||
|
\foreach \y in {0cm, 2.5cm} {
|
||||||
|
\foreach \z in {0cm, 2.5cm} {
|
||||||
|
\draw (2 * \layer + \unit, \y) -- (2 * \layer + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {1.5,...,3.5} {
|
||||||
|
\foreach \z in {1.5,...,3.5} {
|
||||||
|
\draw (2 * \layer + \unit, 0.5cm * \y) -- (2 * \layer + \layer - \unit, 0.5cm * \z);
|
||||||
|
};
|
||||||
|
\foreach \z in {0cm, 2.5cm} {
|
||||||
|
\draw (2 * \layer + \unit, 0.5cm * \y) -- (2 * \layer + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {1.5,...,3.5} {
|
||||||
|
\draw (2 * \layer + \unit, 2.5cm) -- (2 * \layer + \layer - \unit, 0.5cm * \y);
|
||||||
|
\draw (2 * \layer + \unit, 0cm) -- (2 * \layer + \layer - \unit, 0.5cm * \y);
|
||||||
|
};
|
||||||
|
|
||||||
|
% draw weights 3 --> 4
|
||||||
|
\foreach \y in {0cm, 2.5cm} {
|
||||||
|
\foreach \z in {-0.75cm, 3.25cm} {
|
||||||
|
\draw (3 * \layer + \unit, \y) -- (3 * \layer + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {1.5,...,3.5} {
|
||||||
|
\foreach \z in {0,...,5} {
|
||||||
|
\draw (3 * \layer + \unit, 0.5cm * \y) -- (3 * \layer + \layer - \unit, 0.5cm * \z);
|
||||||
|
};
|
||||||
|
\foreach \z in {0cm, 2.5cm} {
|
||||||
|
\draw (3 * \layer + \unit, 0.5cm * \y) -- (3 * \layer + \layer - \unit, \z);
|
||||||
|
};
|
||||||
|
};
|
||||||
|
\foreach \y in {0,...,5} {
|
||||||
|
\draw (3 * \layer + \unit, 2.5cm) -- (3 * \layer + \layer - \unit, 0.5cm * \y);
|
||||||
|
\draw (3 * \layer + \unit, 0cm) -- (3 * \layer + \layer - \unit, 0.5cm * \y);
|
||||||
|
};
|
||||||
|
|
||||||
|
% draw weights 5 --> output
|
||||||
|
\foreach \y in {0cm, 2.5cm} {
|
||||||
|
\draw (5 * \layer + \unit, \y) -- (5 * \layer + \layer - \unit, 1.25cm);
|
||||||
|
};
|
||||||
|
\foreach \y in {1.5,...,3.5} {
|
||||||
|
\draw (5 * \layer + \unit, 0.5cm * \y) -- (5 * \layer + \layer - \unit, 1.25cm);
|
||||||
|
};
|
||||||
|
|
||||||
|
% draw hidden layers legend
|
||||||
|
\node[anchor=base, align=center, text width=3.5cm, scale=0.5] (h) at (4cm, 4.5cm) {hidden layers (ReLU activation)};
|
||||||
|
\draw[->] (h) -- (\layer + \unit, 3.6cm);
|
||||||
|
\draw[->] (h) -- (2 * \layer + \unit, 2.85cm);
|
||||||
|
\draw[->] (h) -- (3 * \layer + 0.5 * \unit, 2.85cm);
|
||||||
|
\draw[->] (h) -- (4 * \layer, 3.6cm);
|
||||||
|
\draw[->] (h) -- (5 * \layer - 0.5 * \unit, 2.85cm);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
193
tikz/icnn.pgf
Normal file
193
tikz/icnn.pgf
Normal file
@@ -0,0 +1,193 @@
|
|||||||
|
%\newlength{\layer}
|
||||||
|
%\newlength{\layerheight}
|
||||||
|
%\newlength{\perspective}
|
||||||
|
%\newlength{\filters}
|
||||||
|
%\newlength{\unit}
|
||||||
|
\newlength{\upperlevel}
|
||||||
|
\newlength{\bottomlevel}
|
||||||
|
\newlength{\concatheight}
|
||||||
|
|
||||||
|
\setlength{\layer}{3cm}
|
||||||
|
\setlength{\layerheight}{3cm}
|
||||||
|
\setlength{\perspective}{1cm}
|
||||||
|
\setlength{\filters}{0.01cm}
|
||||||
|
\setlength{\unit}{0.225cm}
|
||||||
|
\setlength{\upperlevel}{2.25cm}
|
||||||
|
\setlength{\bottomlevel}{-2.25cm}
|
||||||
|
\setlength{\concatheight}{0cm}
|
||||||
|
|
||||||
|
\usetikzlibrary{decorations.pathreplacing}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% input layer
|
||||||
|
\filldraw[fill=cyan!20, draw=black, fill opacity=0.5] (1cm, 0cm) -- (1cm + \perspective, \perspective) -- (1cm + \perspective, \perspective + \layerheight) -- (1cm, \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (1cm, \layerheight) {$1 @ 12 \times 15$};
|
||||||
|
\node[anchor=north west, scale=0.65] at (1cm, 0cm) {input layer};
|
||||||
|
|
||||||
|
% first layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \upperlevel) -- (\layer + 32 * \filters, \upperlevel) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (\layer + \perspective, \upperlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer + \perspective, \upperlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (\layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \upperlevel) -- (\layer + \perspective, \upperlevel + \perspective) -- (\layer + \perspective, \upperlevel + \perspective + \layerheight) -- (\layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \upperlevel) -- (\layer + 32 * \filters, \upperlevel) -- (\layer + 32 * \filters, \upperlevel + \layerheight) -- (\layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer + 32 * \filters, \upperlevel) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (\layer + 32 * \filters, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \upperlevel + \layerheight) -- (\layer + 32 * \filters, \upperlevel + \layerheight) -- (\layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (\layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (\layer, \upperlevel + \layerheight) {$32 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \bottomlevel) -- (\layer + 32 * \filters, \bottomlevel) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (\layer + \perspective, \bottomlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer + \perspective, \bottomlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (\layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \bottomlevel) -- (\layer + \perspective, \bottomlevel + \perspective) -- (\layer + \perspective, \bottomlevel + \perspective + \layerheight) -- (\layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \bottomlevel) -- (\layer + 32 * \filters, \bottomlevel) -- (\layer + 32 * \filters, \bottomlevel + \layerheight) -- (\layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer + 32 * \filters, \bottomlevel) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (\layer + 32 * \filters, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (\layer, \bottomlevel + \layerheight) -- (\layer + 32 * \filters, \bottomlevel + \layerheight) -- (\layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (\layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (\layer, \bottomlevel + \layerheight) {$32 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% first concatenation
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, \concatheight) -- (2 * \layer + 64 * \filters, \concatheight) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (2 * \layer + \perspective, \concatheight + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer + \perspective, \concatheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (2 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, \concatheight) -- (2 * \layer + \perspective, \concatheight + \perspective) -- (2 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- (2 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, \concatheight) -- (2 * \layer + 64 * \filters, \concatheight) -- (2 * \layer + 64 * \filters, \concatheight + \layerheight) -- (2 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer + 64 * \filters, \concatheight) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (2 * \layer + 64 * \filters, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (2 * \layer, \concatheight + \layerheight) -- (2 * \layer + 64 * \filters, \concatheight + \layerheight) -- (2 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (2 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (2 * \layer, \concatheight + \layerheight) {$64 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\draw (\layer + 32 * \filters + 1.2 * \perspective, \upperlevel + 0.5 * \layerheight) -- (\layer + 32 * \filters + 1.7 * \perspective, \upperlevel + 0.5 * \layerheight) -- (\layer + 32 * \filters + 1.7 * \perspective, \bottomlevel + 0.5 * \layerheight) -- (\layer + 32 * \filters + 1.2 * \perspective, \bottomlevel + 0.5 * \layerheight);
|
||||||
|
\filldraw[fill=red!20, draw=black] (\layer + 32 * \filters + 1.7 * \perspective, \concatheight + 0.5 * \layerheight) node[anchor=center, scale=0.8] {$C$} circle (\unit);
|
||||||
|
\draw[-latex] (\layer + 32 * \filters + 1.7 * \perspective + \unit, \concatheight + 0.5 * \layerheight) -- (\layer + 32 * \filters + 1.7 * \perspective + 3 * \unit, \concatheight + 0.5 * \layerheight);
|
||||||
|
|
||||||
|
% second layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \upperlevel) -- (3 * \layer + 64 * \filters, \upperlevel) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective) -- (3 * \layer + \perspective, \upperlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + \perspective, \upperlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (3 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \upperlevel) -- (3 * \layer + \perspective, \upperlevel + \perspective) -- (3 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- (3 * \layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \upperlevel) -- (3 * \layer + 64 * \filters, \upperlevel) -- (3 * \layer + 64 * \filters, \upperlevel + \layerheight) -- (3 * \layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + 64 * \filters, \upperlevel) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (3 * \layer + 64 * \filters, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \upperlevel + \layerheight) -- (3 * \layer + 64 * \filters, \upperlevel + \layerheight) -- (3 * \layer + 64 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (3 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (3 * \layer, \upperlevel + \layerheight) {$64 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \bottomlevel) -- (3 * \layer + 64 * \filters, \bottomlevel) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective) -- (3 * \layer + \perspective, \bottomlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + \perspective, \bottomlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (3 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \bottomlevel) -- (3 * \layer + \perspective, \bottomlevel + \perspective) -- (3 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- (3 * \layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \bottomlevel) -- (3 * \layer + 64 * \filters, \bottomlevel) -- (3 * \layer + 64 * \filters, \bottomlevel + \layerheight) -- (3 * \layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer + 64 * \filters, \bottomlevel) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (3 * \layer + 64 * \filters, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (3 * \layer, \bottomlevel + \layerheight) -- (3 * \layer + 64 * \filters, \bottomlevel + \layerheight) -- (3 * \layer + 64 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (3 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (3 * \layer, \bottomlevel + \layerheight) {$64 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% second concatenation
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, \concatheight) -- (4 * \layer + 128 * \filters, \concatheight) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective) -- (4 * \layer + \perspective, \concatheight + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer + \perspective, \concatheight + \perspective) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (4 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, \concatheight) -- (4 * \layer + \perspective, \concatheight + \perspective) -- (4 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- (4 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, \concatheight) -- (4 * \layer + 128 * \filters, \concatheight) -- (4 * \layer + 128 * \filters, \concatheight + \layerheight) -- (4 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer + 128 * \filters, \concatheight) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (4 * \layer + 128 * \filters, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (4 * \layer, \concatheight + \layerheight) -- (4 * \layer + 128 * \filters, \concatheight + \layerheight) -- (4 * \layer + 128 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (4 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (4 * \layer, \concatheight + \layerheight) {$128 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\draw (3 * \layer + 64 * \filters + 1.1 * \perspective, \upperlevel + 0.5 * \layerheight) -- (3 * \layer + 64 * \filters + 1.6 * \perspective, \upperlevel + 0.5 * \layerheight) -- (3 * \layer + 64 * \filters + 1.6 * \perspective, \bottomlevel + 0.5 * \layerheight) -- (3 * \layer + 64 * \filters + 1.1 * \perspective, \bottomlevel + 0.5 * \layerheight);
|
||||||
|
\filldraw[fill=red!20, draw=black] (3 * \layer + 64 * \filters + 1.6 * \perspective, \concatheight + 0.5 * \layerheight) node[anchor=center, scale=0.8] {$C$} circle (\unit);
|
||||||
|
\draw[-latex] (3 * \layer + 64 * \filters + 1.6 * \perspective + \unit, \concatheight + 0.5 * \layerheight) -- (3 * \layer + 64 * \filters + 1.6 * \perspective + 3 * \unit, \concatheight + 0.5 * \layerheight);
|
||||||
|
|
||||||
|
% third layer
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \upperlevel) -- (5 * \layer + 32 * \filters, \upperlevel) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (5 * \layer + \perspective, \upperlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer + \perspective, \upperlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (5 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \upperlevel) -- (5 * \layer + \perspective, \upperlevel + \perspective) -- (5 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- (5 * \layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \upperlevel) -- (5 * \layer + 32 * \filters, \upperlevel) -- (5 * \layer + 32 * \filters, \upperlevel + \layerheight) -- (5 * \layer, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer + 32 * \filters, \upperlevel) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (5 * \layer + 32 * \filters, \upperlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \upperlevel + \layerheight) -- (5 * \layer + 32 * \filters, \upperlevel + \layerheight) -- (5 * \layer + 32 * \filters + \perspective, \upperlevel + \perspective + \layerheight) -- (5 * \layer + \perspective, \upperlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (5 * \layer, \upperlevel + \layerheight) {$32 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \bottomlevel) -- (5 * \layer + 32 * \filters, \bottomlevel) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (5 * \layer + \perspective, \bottomlevel + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer + \perspective, \bottomlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (5 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \bottomlevel) -- (5 * \layer + \perspective, \bottomlevel + \perspective) -- (5 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- (5 * \layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \bottomlevel) -- (5 * \layer + 32 * \filters, \bottomlevel) -- (5 * \layer + 32 * \filters, \bottomlevel + \layerheight) -- (5 * \layer, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer + 32 * \filters, \bottomlevel) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (5 * \layer + 32 * \filters, \bottomlevel + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (5 * \layer, \bottomlevel + \layerheight) -- (5 * \layer + 32 * \filters, \bottomlevel + \layerheight) -- (5 * \layer + 32 * \filters + \perspective, \bottomlevel + \perspective + \layerheight) -- (5 * \layer + \perspective, \bottomlevel + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (5 * \layer, \bottomlevel + \layerheight) {$32 @ 12 \times 15$};
|
||||||
|
|
||||||
|
% third concatenation
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer, \concatheight) -- (6 * \layer + 64 * \filters, \concatheight) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (6 * \layer + \perspective, \concatheight + \perspective) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer + \perspective, \concatheight + \perspective) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (6 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\filldraw[dashed, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer, \concatheight) -- (6 * \layer + \perspective, \concatheight + \perspective) -- (6 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- (6 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer, \concatheight) -- (6 * \layer + 64 * \filters, \concatheight) -- (6 * \layer + 64 * \filters, \concatheight + \layerheight) -- (6 * \layer, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer + 64 * \filters, \concatheight) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (6 * \layer + 64 * \filters, \concatheight + \layerheight) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black, fill opacity=0.5] (6 * \layer, \concatheight + \layerheight) -- (6 * \layer + 64 * \filters, \concatheight + \layerheight) -- (6 * \layer + 64 * \filters + \perspective, \concatheight + \perspective + \layerheight) -- (6 * \layer + \perspective, \concatheight + \perspective + \layerheight) -- cycle;
|
||||||
|
\node[anchor=south west, scale=0.65, rotate=45] at (6 * \layer, \concatheight + \layerheight) {$64 @ 12 \times 15$};
|
||||||
|
|
||||||
|
\draw (5 * \layer + 32 * \filters + 1.2 * \perspective, \upperlevel + 0.5 * \layerheight) -- (5 * \layer + 32 * \filters + 1.7 * \perspective, \upperlevel + 0.5 * \layerheight) -- (5 * \layer + 32 * \filters + 1.7 * \perspective, \bottomlevel + 0.5 * \layerheight) -- (5 * \layer + 32 * \filters + 1.2 * \perspective, \bottomlevel + 0.5 * \layerheight);
|
||||||
|
\filldraw[fill=red!20, draw=black] (5 * \layer + 32 * \filters + 1.7 * \perspective, \concatheight + 0.5 * \layerheight) node[anchor=center, scale=0.8] {$C$} circle (\unit);
|
||||||
|
\draw[-latex] (5 * \layer + 32 * \filters + 1.7 * \perspective + \unit, \concatheight + 0.5 * \layerheight) -- (5 * \layer + 32 * \filters + 1.7 * \perspective + 3 * \unit, \concatheight + 0.5 * \layerheight);
|
||||||
|
|
||||||
|
% flatten layer
|
||||||
|
\foreach \x in {0,...,4} {
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (6 * \layer + 3cm, \concatheight + \unit + 0.75 * \x cm) circle (\unit);
|
||||||
|
\draw (6 * \layer + 3cm + \unit, \concatheight + \unit + 0.75 * \x cm) -- (7 * \layer + 2cm - \unit, \concatheight + \unit + 0.5 * \layerheight);
|
||||||
|
};
|
||||||
|
\node[anchor=north, scale=0.5, below=15pt, align=center] at (6 * \layer + 3cm, \concatheight + \unit) {flatten};
|
||||||
|
|
||||||
|
% draw the "flatenisation"
|
||||||
|
\draw[dashed] (6 * \layer + 64 * \filters, \layerheight) -- (6 * \layer + 3 cm, 3cm + 2 * \unit) -- (6 * \layer + 64 * \filters + \perspective, \layerheight + \perspective) -- cycle;
|
||||||
|
\draw[dashed] (6 * \layer + 64 * \filters, 0cm) -- (6 * \layer + 3 cm, 0cm) -- (6 * \layer + 64 * \filters + \perspective, \perspective) -- cycle;
|
||||||
|
|
||||||
|
% output layer
|
||||||
|
\filldraw[fill=cyan!10, draw=black] (7 * \layer + 2cm, \concatheight + \unit + 0.5 * \layerheight - \unit) -- (7 * \layer + 2cm, \concatheight + \unit + 0.5 * \layerheight) circle (\unit) -- (7 * \layer + 2cm, \concatheight + \unit + 0.5 * \layerheight + \unit);
|
||||||
|
\draw (7 * \layer + 2cm + 0.05cm, \concatheight + \unit + 0.5 * \layerheight) node[anchor=north, below=10pt, text width=2cm, scale=0.35, align=center] {output layer [1 unit]} -- (7 * \layer + 2cm + 0.10cm, \concatheight + \unit + 0.5 * \layerheight) -- (7 * \layer + 2cm + 0.15cm, \concatheight + \unit + 0.5 * \layerheight + 0.05cm);
|
||||||
|
|
||||||
|
% draw the first convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0.9 * \layerheight) -- (1cm + \perspective, 0.9 * \layerheight + \perspective) -- (1cm + \perspective, \layerheight + \perspective) -- (1cm, \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0.9 * \layerheight) -- (\layer, \upperlevel + 0.9 * \layerheight) -- (1cm + \perspective, 0.9 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, \layerheight) -- (\layer, \upperlevel + 0.9 * \layerheight) -- (1cm + \perspective, \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm + \perspective, 0.9 * \layerheight + \perspective) -- (\layer, \upperlevel + 0.9 * \layerheight) -- (1cm + \perspective, \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0.9 * \layerheight) -- (\layer, \upperlevel + 0.9 * \layerheight) -- (1cm, \layerheight) -- cycle;
|
||||||
|
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0cm) -- (1cm + 0.2 * \perspective, 0.2 * \perspective) -- (1cm + 0.2 * \perspective, \layerheight + 0.2 * \perspective) -- (1cm, \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0cm) -- (\layer, \bottomlevel + 0.9 * \layerheight) -- (1cm + 0.2 * \perspective, 0.2 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm + 0.2 * \perspective, 0.2 * \perspective) -- (\layer, \bottomlevel + 0.9 * \layerheight) -- (1cm + 0.2 * \perspective, \layerheight + 0.2 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm + 0.2 * \perspective, \layerheight + 0.2 * \perspective) -- (\layer, \bottomlevel + 0.9 * \layerheight) -- (1cm, \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (1cm, 0cm) -- (\layer, \bottomlevel + 0.9 * \layerheight) -- (1cm, \layerheight) -- cycle;
|
||||||
|
|
||||||
|
% draw the second convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
|
||||||
|
% draw the second convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters, 0.4 * \layerheight) -- (3 * \layer, \upperlevel + 0.6 * \layerheight) -- (2 * \layer + 64 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (2 * \layer + 64 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (3 * \layer, \bottomlevel + 0.9 * \layerheight) -- (2 * \layer + 64 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
|
||||||
|
% draw the third convolution
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters, 0.4 * \layerheight) -- (4 * \layer + 128 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (4 * \layer + 128 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- (4 * \layer + 128 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters, 0.4 * \layerheight) -- (5 * \layer, \upperlevel + 0.6 * \layerheight) -- (4 * \layer + 128 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters, 0.5 * \layerheight) -- (5 * \layer, \upperlevel + 0.6 * \layerheight) -- (4 * \layer + 128 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + \perspective, 0.4 * \layerheight + \perspective) -- (5 * \layer, \upperlevel + 0.6 * \layerheight) -- (4 * \layer + 128 * \filters + \perspective, 0.5 * \layerheight + \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters, 0.4 * \layerheight) -- (5 * \layer, \upperlevel + 0.6 * \layerheight) -- (4 * \layer + 128 * \filters, 0.5 * \layerheight) -- cycle;
|
||||||
|
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (4 * \layer + 128 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (4 * \layer + 128 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (4 * \layer + 128 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (5 * \layer, \bottomlevel + 0.9 * \layerheight) -- (4 * \layer + 128 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + 0.4 * \perspective, 0.4 * \perspective) -- (5 * \layer, \bottomlevel + 0.9 * \layerheight) -- (4 * \layer + 128 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + 0.4 * \perspective, \layerheight + 0.4 * \perspective) -- (5 * \layer, \bottomlevel + 0.9 * \layerheight) -- (4 * \layer + 128 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
\filldraw[fill=red!50, draw=black, fill opacity=0.2] (4 * \layer + 128 * \filters + 0.3 * \perspective, 0.3 * \perspective) -- (5 * \layer, \bottomlevel + 0.9 * \layerheight) -- (4 * \layer + 128 * \filters + 0.3 * \perspective, \layerheight + 0.3 * \perspective) -- cycle;
|
||||||
|
|
||||||
|
% hidden layer labels
|
||||||
|
\draw[decorate, decoration={brace}] (\layer, \upperlevel + 1.25 * \layerheight + \perspective) -- (2 * \layer + 64 * \filters + \perspective, \upperlevel + 1.25 * \layerheight + \perspective) node[midway, anchor=south, above=2cm, align=center] {concatenation module 1} node[midway, anchor=south, above=0.8cm, align=center, text width=4cm] {hor: $1 \times 15$ kernel ver: $12 \times 1$ kernel} node[midway, anchor=south] {(ReLU activation)};
|
||||||
|
\draw[decorate, decoration={brace}] (3 * \layer, \upperlevel + 1.25 * \layerheight + \perspective) -- (4 * \layer + 128 * \filters + \perspective, \upperlevel + 1.25 * \layerheight + \perspective) node[midway, anchor=south, above=2cm, align=center] {concatenation module 2} node[midway, anchor=south, above=0.8cm, align=center, text width=4cm] {hor: $1 \times 15$ kernel ver: $12 \times 1$ kernel} node[midway, anchor=south] {(ReLU activation)};
|
||||||
|
\draw[decorate, decoration={brace}] (5 * \layer, \upperlevel + 1.25 * \layerheight + \perspective) -- (6 * \layer + 64 * \filters + \perspective, \upperlevel + 1.25 * \layerheight + \perspective) node[midway, anchor=south, above=2cm, align=center] {concatenation module 3} node[midway, anchor=south, above=0.8cm, align=center, text width=4cm] {hor: $1 \times 15$ kernel ver: $12 \times 1$ kernel} node[midway, anchor=south] {(ReLU activation)};
|
||||||
|
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=texft=texft=texft=texft=tex
|
||||||
29
tikz/inconsistent_theories.pgf
Normal file
29
tikz/inconsistent_theories.pgf
Normal file
@@ -0,0 +1,29 @@
|
|||||||
|
\usetikzlibrary{patterns}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% fill the overlap area
|
||||||
|
\draw[black!0, pattern=north east lines, pattern color=black!15] (0cm, 0cm) rectangle (2cm, 2cm);
|
||||||
|
\node[anchor=base, text width=2cm, align=center] at (1cm, 1.4cm) {\textsc{Overlap Region}};
|
||||||
|
\node[anchor=base, text width=3cm, align=center, scale=0.5] at (1cm, 0.5cm) {\textsc{inconsistent theories}};
|
||||||
|
|
||||||
|
% draw the horizontal axis
|
||||||
|
\draw[thick, ->] (-3cm, 0cm) -- (4cm, 0cm) node[anchor=south west] {$n$};
|
||||||
|
|
||||||
|
% draw points
|
||||||
|
\node[anchor=north] at (-3cm, 0cm) {$\cdots$};
|
||||||
|
\filldraw[fill=white, draw=black] (-2cm,0cm) circle (2pt) node[anchor=north] {$-1$};
|
||||||
|
\filldraw[fill=white, draw=black] (-1cm,0cm) circle (2pt) node[anchor=north] {$0$};
|
||||||
|
\filldraw[fill=white, draw=black] (0cm,0cm) circle (2pt) node[anchor=north] {$1$};
|
||||||
|
\node[anchor=north] at (1cm, 0cm) {$\cdots$};
|
||||||
|
\filldraw[fill=white, draw=black] (2cm,0cm) circle (2pt) node[anchor=north] {$\rL$};
|
||||||
|
\filldraw[fill=white, draw=black] (3cm,0cm) circle (2pt) node[anchor=north] {$\rL+1$};
|
||||||
|
\node[anchor=north] at (4cm, 0cm) {$\cdots$};
|
||||||
|
|
||||||
|
% draw limits
|
||||||
|
\draw[->] (0cm, 2pt) -- (0cm, 2cm) -- (4cm, 2cm) node[midway, anchor=south west] {in-annihilators} node[anchor=north east] {$b_{n}$};
|
||||||
|
\draw[->] (2cm, 2pt) -- (2cm, 1.8cm) -- (-3cm, 1.8cm) node[midway, anchor=south east] {out-annihilators} node[anchor=north west] {$b^*_{\rL + 1 - n}$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
@@ -1,17 +1,14 @@
|
|||||||
\usetikzlibrary{decorations.markings}
|
\begin{tikzpicture}
|
||||||
\usetikzlibrary{arrows}
|
|
||||||
|
|
||||||
\begin{tikzpicture}
|
|
||||||
|
|
||||||
% draw axis
|
% draw axis
|
||||||
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] (ascissa) {$\Re z$};
|
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] (ascissa) {$\Re z$};
|
||||||
\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] (ordinata) {$\Im z$};
|
\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] (ordinata) {$\Im z$};
|
||||||
|
|
||||||
% draw isolated point
|
% draw isolated point
|
||||||
\draw[fill] (-1.5cm, 1.1cm) circle [radius=2pt] node[anchor=south west] (w) {$w$};
|
\draw[fill] (-1.5cm, 1.1cm) circle (2pt) node[anchor=south west] (w) {$w$};
|
||||||
|
|
||||||
% draw closed loops
|
% draw closed loops
|
||||||
\draw[dotted, decorate, decoration={markings, mark=at position 0.0 with {\arrow{latex}}}] (-1.5cm, 1.1cm) circle [radius=0.6cm];
|
\draw[dotted, -latex] (-0.9cm, 1.1cm) arc (0:360:0.6cm);
|
||||||
|
|
||||||
% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
|
% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
|
||||||
\node (c0) at (-2.1cm, 0.3cm) {$\ccC_{(w)}$};
|
\node (c0) at (-2.1cm, 0.3cm) {$\ccC_{(w)}$};
|
||||||
|
|||||||
43
tikz/stacking.pgf
Normal file
43
tikz/stacking.pgf
Normal file
@@ -0,0 +1,43 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw first level
|
||||||
|
\filldraw[thick, fill=cyan!20, draw=black] (0cm, 0cm) -- (7cm, 0cm) node[midway, anchor=south, align=center, text width=3cm, above=5pt] {training set} -- (7cm, 1cm) -- (0cm, 1cm) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black] (7.1cm, 0cm) -- (10cm, 0cm) node[midway, anchor=south, align=center, text width=2cm, above=8pt] {test set} -- (10cm, 1cm) -- (7.1cm, 1cm) -- cycle;
|
||||||
|
|
||||||
|
\draw[-latex] (3.5cm, 0cm) -- (1.75cm, -0.8cm);
|
||||||
|
\draw[-latex] (3.5cm, 0cm) -- (5.25cm, -0.8cm);
|
||||||
|
|
||||||
|
% draw second level
|
||||||
|
\filldraw[thick, fill=cyan!20, draw=black] (0cm, -2cm) -- (3.45cm, -2cm) node[midway, anchor=south, align=center, text width=3cm, above=5pt] {training set 1} -- (3.45cm, -1cm) -- (0cm, -1cm) -- cycle;
|
||||||
|
\filldraw[thick, fill=cyan!20, draw=black] (3.55cm, -2cm) -- (7cm, -2cm) node[midway, anchor=south, align=center, text width=3cm, above=5pt] {training set 2} -- (7cm, -1cm) -- (3.55cm, -1cm) -- cycle;
|
||||||
|
\filldraw[thick, fill=orange!20, draw=black] (7.1cm, -2cm) -- (10cm, -2cm) node[midway, anchor=south, align=center, text width=2cm, above=8pt] {test set} -- (10cm, -1cm) -- (7.1cm, -1cm) -- cycle;
|
||||||
|
|
||||||
|
\draw[-latex] (1.75cm, -2cm) -- (1.75cm, -2.65cm) node[anchor=south west] {training};
|
||||||
|
|
||||||
|
% 1st level trainers
|
||||||
|
\filldraw[thick, fill=green!20, draw=black] (1.725cm, -3.5cm) ellipse [x radius=1.5cm,y radius=0.75cm] node[anchor=center, align=center, text width=3cm] {1st level learners};
|
||||||
|
|
||||||
|
\draw[-latex] (5.25cm, -2cm) -- (5.25cm, -4.85cm) node[anchor=south west] {predictions};
|
||||||
|
\draw[-latex] (8.5cm, -2cm) -- (8.5cm, -4.85cm) node[anchor=south west] {predictions};
|
||||||
|
|
||||||
|
\filldraw (3.25cm, -3.5cm) -- (8.5cm, -3.5cm) circle (2pt);
|
||||||
|
\draw (1.75cm, -4.25cm) -- (1.75cm, -4.45cm) -- (5.25cm, -4.45cm);
|
||||||
|
\filldraw (5.25cm, -4.45cm) circle (2pt);
|
||||||
|
|
||||||
|
% 1st level labels
|
||||||
|
\filldraw[thick, fill=red!20, draw=black] (3.55cm, -6cm) -- (7cm, -6cm) node[midway, anchor=south, align=center, scale=0.8] {\begin{tabular}{c} test set 2 \\ (1st level labels) \\ \end{tabular}} -- (7cm, -5cm) -- (3.55cm, -5cm) -- cycle;
|
||||||
|
\filldraw[thick, fill=blue!20, draw=black] (7.1cm, -6cm) -- (10cm, -6cm) node[midway, anchor=south, align=center, scale=0.8] {\begin{tabular}{c} test set 1 \\ (1st level labels) \\ \end{tabular}} -- (10cm, -5cm) -- (7.1cm, -5cm) -- cycle;
|
||||||
|
|
||||||
|
\draw[-latex] (5.25cm, -6cm) -- (5.25cm, -6.65cm);
|
||||||
|
\draw[-latex] (8.5cm, -6cm) -- (8.5cm, -8.85cm) node[anchor=south west] {predictions};
|
||||||
|
\filldraw (6.75cm, -7.5cm) -- (8.5cm, -7.5cm) circle (2pt);
|
||||||
|
|
||||||
|
% 2nd level trainers
|
||||||
|
\filldraw[thick, fill=black!20, draw=black] (5.25cm, -7.5cm) ellipse [x radius=1.5cm,y radius=0.75cm] node[anchor=center, align=center, text width=3cm] {meta learner};
|
||||||
|
|
||||||
|
% final predictions
|
||||||
|
\filldraw[thick, fill=yellow!20, draw=black] (7.1cm, -10cm) -- (10cm, -10cm) node[midway, anchor=south, align=center, scale=0.8] {\begin{tabular}{c} test set 1 \\ (1st level labels) \\ \end{tabular}} -- (10cm, -9cm) -- (7.1cm, -9cm) -- cycle;
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
21
tikz/threebranes_plane.pgf
Normal file
21
tikz/threebranes_plane.pgf
Normal file
@@ -0,0 +1,21 @@
|
|||||||
|
\usetikzlibrary{decorations.pathreplacing}
|
||||||
|
\usetikzlibrary{decorations.pathmorphing}
|
||||||
|
|
||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw axis
|
||||||
|
\draw[thick, ->] (-0.5cm, 0cm) -- (5cm, 0cm) node[anchor=south] {$\Re \omega$};
|
||||||
|
\draw[thick, ->] (0cm, -1cm) -- (0cm, 3cm) node[anchor=east] {$\Im \omega$};
|
||||||
|
|
||||||
|
% draw branching cuts
|
||||||
|
\filldraw[fill=black!30, draw=black, dashed] (0cm, 2pt) rectangle (4.8cm, -2pt);
|
||||||
|
\filldraw[fill=black!10, draw=black, dashed] (1cm, 1pt) rectangle (4.8cm, -1pt);
|
||||||
|
|
||||||
|
% draw branching points
|
||||||
|
\filldraw[fill=white, draw=black] (4.8cm, 0cm) circle (2pt) node[anchor=north] (x1) {$\infty$};
|
||||||
|
\filldraw[fill=white, draw=black] (1cm, 0cm) circle (2pt) node[anchor=north] (x2) {$1$};
|
||||||
|
\filldraw[fill=white, draw=black] (0cm, 0cm) circle (2pt) node[anchor=north east] (x3) {$0$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
15
tikz/usual_abelian_angles_a.pgf
Normal file
15
tikz/usual_abelian_angles_a.pgf
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (-0.5cm, -0.5cm) -- (4cm, 2cm) node[anchor=west] {$D_{(t)}$};
|
||||||
|
\draw[thick] (0cm, -1cm) -- (1.7cm, 4cm) node[anchor=west] {$D_{(t+1)}$};
|
||||||
|
|
||||||
|
% draw baseline and angles
|
||||||
|
\draw[dotted] (-1cm, -0.05cm) -- (5cm, -0.05cm);
|
||||||
|
\draw[->] (1.5cm, -0.05cm) node[anchor=north] {$\alpha_{(t)}$} arc (0:22:1.6cm);
|
||||||
|
\draw[->] (2.5cm, -0.05cm) node[anchor=north] {$\alpha_{(t+1)}$} arc (0:62:2.6cm);
|
||||||
|
\draw[->] (3.5cm, 1.7cm) arc (22:76:2.9cm) node[anchor=east] {$\varepsilon_{(t)}$};
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
15
tikz/usual_abelian_angles_b.pgf
Normal file
15
tikz/usual_abelian_angles_b.pgf
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
\begin{tikzpicture}
|
||||||
|
|
||||||
|
% draw D-branes
|
||||||
|
\draw[thick] (0cm, -1cm) -- (1.7cm, 4cm) node[anchor=west] {$D_{(t)}$};
|
||||||
|
\draw[thick] (-0.5cm, -0.5cm) -- (4cm, 2cm) node[anchor=west] {$D_{(t+1)}$};
|
||||||
|
|
||||||
|
% draw baseline and angles
|
||||||
|
\draw[dotted] (-1cm, -0.05cm) -- (5cm, -0.05cm);
|
||||||
|
\draw[->] (2.5cm, -0.05cm) node[anchor=north] {$\alpha_{(t)}$} arc (0:62:2.6cm);
|
||||||
|
\draw[->] (1.5cm, -0.05cm) node[anchor=north] {$\alpha_{(t+1)}$} arc (0:22:1.6cm);
|
||||||
|
\draw[->] (0.55cm, 0.6cm) node[anchor=south east] {$\varepsilon_{(t)}$} arc (76:210:0.6cm);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
% vim: ft=tex
|
||||||
Reference in New Issue
Block a user