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Merge pull request #140 from JuliaGNI/reduced_system
Updated `ReducedSystem` and renamed to `HRedSys` (including tutorial)
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| # Symplectic Autoencoder | ||
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| A visualization of an instance of [SymplecticAutoencoder](@ref) is shown below: | ||
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| ```@example | ||
| import Images, Plots # hide | ||
| if Main.output_type == :html # hide | ||
| HTML("""<object type="image/svg+xml" class="display-light-only" data=$(joinpath(Main.buildpath, "../tikz/symplectic_autoencoder_architecture.png"))></object>""") # hide | ||
| else # hide | ||
| Plots.plot(Images.load("../tikz/symplectic_autoencoder_architecture.png"), axis=([], false)) # hide | ||
| end # hide | ||
| ``` | ||
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| ```@example | ||
| if Main.output_type == :html # hide | ||
| HTML("""<object type="image/svg+xml" class="display-dark-only" data=$(joinpath(Main.buildpath, "../tikz/symplectic_autoencoder_architecture_dark.png"))></object>""") # hide | ||
| end # hide | ||
| ``` | ||
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| The *intermediate dimension* ``M`` is calculated via `n : (N - n) ÷ (n_blocks - 1) : N`. Further we have the following choices: | ||
| - `n_encoder_layers::Integer = 4` | ||
| - `n_encoder_blocks::Integer = 2` | ||
| - `n_decoder_layers::Integer = 2` | ||
| - `n_decoder_blocks::Integer = 3` | ||
| - `encoder_init_q::Bool = true` | ||
| - `decoder_init_q::Bool = true` | ||
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| Note that all of these are keyword arguments that can be supplied to [SymplecticAutoencoder](@ref). |
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| \documentclass[crop, tikz]{standalone} | ||
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| \usepackage{tikz} | ||
| \usepackage{amsmath} | ||
| \usepackage{amssymb} | ||
| \usepackage[mode=buildnew]{standalone} | ||
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| \usepackage{xcolor} | ||
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| \usetikzlibrary{positioning} | ||
| \usetikzlibrary{calc} | ||
| \usetikzlibrary{fit} | ||
| %\usepackage{nicematrix} | ||
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| \tikzset{set/.style={draw,circle,inner sep=0pt,align=center}} | ||
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| \definecolor{morange}{RGB}{255,127,14} | ||
| \definecolor{mblue}{RGB}{31,119,180} | ||
| \definecolor{mred}{RGB}{214,39,40} | ||
| \definecolor{mpurple}{RGB}{148,103,189} | ||
| \definecolor{mgreen}{RGB}{44,160,44} | ||
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| \begin{document} | ||
| \begin{tikzpicture}[module/.style={draw, very thick, rounded corners, minimum width=15ex}, | ||
| gradient/.style={module, fill=mgreen!50}, | ||
| psd/.style={module, fill=mblue!50}, | ||
| arrow/.style={-stealth, thick, rounded corners}, | ||
| ] | ||
| \node (input) {Input}; | ||
| \node[above of=input, gradient, align=center, yshift=.6cm] (gq1) {\texttt{GradientQ(2N, 10N, tanh)}}; | ||
| \node[above of=gq1, gradient, align=center] (gq2) {\texttt{GradientP(2N, 10N, tanh)}}; | ||
| \node[above of=gq2, gradient, align=center] (gq3) {\texttt{GradientQ(2N, 10N, tanh)}}; | ||
| \node[above of=gq3, gradient, align=center] (gq4) {\texttt{GradientP(2N, 10N, tanh)}}; | ||
| \node[above of=gq4, psd, align=center] (psd1) {\texttt{PSDLayer(2N, 2n)}}; | ||
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| \node[right of=input, xshift=6cm] (output) {Output}; | ||
| \node[above of=output, psd] (psd3) {\texttt{PSDLayer(2M, 2N)}}; | ||
| \node[above of=psd3, gradient] (gq8) {\texttt{GradientP(2M, 2M, tanh)}}; | ||
| \node[above of=gq8, gradient] (gq7) {\texttt{GradientQ(2M, 2M, tanh)}}; | ||
| \node[above of=gq7, psd] (psd2) {\texttt{PSDLayer(2n, 2M)}}; | ||
| \node[above of=psd2, gradient] (gq6) {\texttt{GradientP(2n, 10n, tanh)}}; | ||
| \node[above of=gq6, gradient] (gq5) {\texttt{GradientQ(2n, 10n, tanh)}}; | ||
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| \draw[arrow] (gq1) -- (gq2); | ||
| \draw[arrow] (gq2) -- (gq3); | ||
| \draw[arrow] (gq3) -- (gq4); | ||
| \draw[arrow] (gq4) -- (psd1); | ||
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| \coordinate[above of=gq5] (gq5_above); | ||
| \coordinate[left of=gq5_above, xshift=-6cm] (psd_above); | ||
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| \draw[arrow] (gq5) -- (gq6); | ||
| \draw[arrow] (gq6) -- (psd2); | ||
| \draw[arrow] (psd2) -- (gq7); | ||
| \draw[arrow] (gq7) -- (gq8); | ||
| \draw[arrow] (gq8) -- (psd3); | ||
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| \node[fit=(gq1)(gq2)(gq3)(gq4)(psd1),draw, ultra thick, rounded corners, label=left:$\Psi^e$] (encoder) {}; | ||
| \node[fit=(gq5)(gq5)(gq7)(psd2)(gq7)(gq8)(psd3),draw, ultra thick, rounded corners, label=left:$\Psi^d$] (decoder) {}; | ||
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| \draw[arrow] (encoder.north)-|(psd_above)-|(gq5_above)--(decoder.north); | ||
| \draw[arrow] (input) -- (encoder); | ||
| \draw[arrow] (decoder) -- (output); | ||
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| \end{tikzpicture} | ||
| \end{document} |
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docs/src/tikz/symplectic_autoencoder_architecture_dark.tex
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,69 @@ | ||
| \documentclass[crop, tikz]{standalone} | ||
|
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| \usepackage{tikz} | ||
| \usepackage{amsmath} | ||
| \usepackage{amssymb} | ||
| \usepackage[mode=buildnew]{standalone} | ||
|
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||
| \usepackage{xcolor} | ||
|
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||
|
|
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| \usetikzlibrary{positioning} | ||
| \usetikzlibrary{calc} | ||
| \usetikzlibrary{fit} | ||
| %\usepackage{nicematrix} | ||
|
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| \tikzset{set/.style={draw,circle,inner sep=0pt,align=center}} | ||
|
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| \definecolor{morange}{RGB}{255,127,14} | ||
| \definecolor{mblue}{RGB}{31,119,180} | ||
| \definecolor{mred}{RGB}{214,39,40} | ||
| \definecolor{mpurple}{RGB}{148,103,189} | ||
| \definecolor{mgreen}{RGB}{44,160,44} | ||
|
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||
|
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| \begin{document} | ||
| \begin{tikzpicture}[module/.style={draw, very thick, rounded corners, minimum width=15ex}, | ||
| gradient/.style={module, fill=mgreen!50}, | ||
| psd/.style={module, fill=mblue!50}, | ||
| arrow/.style={-stealth, thick, rounded corners}, | ||
| ] | ||
| \node (input) {\color{white} Input}; | ||
| \node[above of=input, gradient, align=center, yshift=.6cm] (gq1) {\texttt{GradientQ(2N, 10N, tanh)}}; | ||
| \node[above of=gq1, gradient, align=center] (gq2) {\texttt{GradientP(2N, 10N, tanh)}}; | ||
| \node[above of=gq2, gradient, align=center] (gq3) {\texttt{GradientQ(2N, 10N, tanh)}}; | ||
| \node[above of=gq3, gradient, align=center] (gq4) {\texttt{GradientP(2N, 10N, tanh)}}; | ||
| \node[above of=gq4, psd, align=center] (psd1) {\texttt{PSDLayer(2N, 2n)}}; | ||
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| \node[right of=input, xshift=6cm] (output) {\color{white} Output}; | ||
| \node[above of=output, psd] (psd3) {\texttt{PSDLayer(2M, 2N)}}; | ||
| \node[above of=psd3, gradient] (gq8) {\texttt{GradientP(2M, 2M, tanh)}}; | ||
| \node[above of=gq8, gradient] (gq7) {\texttt{GradientQ(2M, 2M, tanh)}}; | ||
| \node[above of=gq7, psd] (psd2) {\texttt{PSDLayer(2n, 2M)}}; | ||
| \node[above of=psd2, gradient] (gq6) {\texttt{GradientP(2n, 10n, tanh)}}; | ||
| \node[above of=gq6, gradient] (gq5) {\texttt{GradientQ(2n, 10n, tanh)}}; | ||
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| \draw[arrow, color=white] (gq1) -- (gq2); | ||
| \draw[arrow, color=white] (gq2) -- (gq3); | ||
| \draw[arrow, color=white] (gq3) -- (gq4); | ||
| \draw[arrow, color=white] (gq4) -- (psd1); | ||
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| \coordinate[above of=gq5] (gq5_above); | ||
| \coordinate[left of=gq5_above, xshift=-6cm] (psd_above); | ||
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| \draw[arrow, color=white] (gq5) -- (gq6); | ||
| \draw[arrow, color=white] (gq6) -- (psd2); | ||
| \draw[arrow, color=white] (psd2) -- (gq7); | ||
| \draw[arrow, color=white] (gq7) -- (gq8); | ||
| \draw[arrow, color=white] (gq8) -- (psd3); | ||
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| \node[fit=(gq1)(gq2)(gq3)(gq4)(psd1),draw, ultra thick, rounded corners, color=white, label=left:\color{white}$\Psi^e$] (encoder) {}; | ||
| \node[fit=(gq5)(gq5)(gq7)(psd2)(gq7)(gq8)(psd3),draw, ultra thick, rounded corners, color=white, label=left:\color{white}$\Psi^d$] (decoder) {}; | ||
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| \draw[arrow, color=white] (encoder.north)-|(psd_above)-|(gq5_above)--(decoder.north); | ||
| \draw[arrow, color=white] (input) -- (encoder); | ||
| \draw[arrow, color=white] (decoder) -- (output); | ||
|
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|
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| \end{tikzpicture} | ||
| \end{document} |
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