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‎dev/examples/Grid7x3/index.html‎

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plot!(size = (815, 611)) # hide</code></pre><h2 id="TSD-distance"><a class="docs-heading-anchor" href="#TSD-distance">TSD distance</a><a id="TSD-distance-1"></a><a class="docs-heading-anchor-permalink" href="#TSD-distance" title="Permalink"></a></h2><p>We organize the eigenvectors by the TSD distance with the parameter <span>$T = 0.1$</span>.</p><pre><code class="language- hljs">D = natural_eigdist(𝚽, 𝛌, Q; T = 0.1, distance = :TSD) # T = 0.1
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E = transform(fit(MDS, D, maxoutdim=2, distances=true))
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grid7x3_mds_heatmaps(E, 𝚽)
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plot!(size = (815, 611)) # hide</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../P64/">« 1D Path</a><a class="docs-footer-nextpage" href="../Sunflower/">Sunflower Graph »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Friday 16 December 2022 22:15">Friday 16 December 2022</span>. Using Julia version 1.8.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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plot!(size = (815, 611)) # hide</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../P64/">« 1D Path</a><a class="docs-footer-nextpage" href="../Sunflower/">Sunflower Graph »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Sunday 12 February 2023 03:52">Sunday 12 February 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

‎dev/examples/P64/index.html‎

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‎dev/examples/Sunflower/index.html‎

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<!DOCTYPE html>
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Sunflower Graph · MultiscaleGraphSignalTransforms.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="MultiscaleGraphSignalTransforms.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">MultiscaleGraphSignalTransforms.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><input class="collapse-toggle" id="menuitem-2" type="checkbox" checked/><label class="tocitem" for="menuitem-2"><span class="docs-label">Examples</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../P64/">1D Path</a></li><li><a class="tocitem" href="../Grid7x3/">2D Lattice</a></li><li class="is-active"><a class="tocitem" href>Sunflower Graph</a></li></ul></li><li><input class="collapse-toggle" id="menuitem-3" type="checkbox"/><label class="tocitem" for="menuitem-3"><span class="docs-label">Functions</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../../functions/Partition/">Recursive Graph Partitioning</a></li><li><a class="tocitem" href="../../functions/HGLET/">Hierarchical Graph Laplacian Eigen Transform</a></li><li><a class="tocitem" href="../../functions/GHWT/">Generalized Haar-Walsh Transform</a></li><li><a class="tocitem" href="../../functions/eGHWT/">extended Generalized Haar-Walsh Transform</a></li><li><a class="tocitem" href="../../functions/NGWD/">Natural Graph Wavelet Dictionaries</a></li><li><a class="tocitem" href="../../functions/Utils/">Utils</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Examples</a></li><li class="is-active"><a href>Sunflower Graph</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Sunflower Graph</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/UCD4IDS/MultiscaleGraphSignalTransforms.jl/blob/master/docs/src/examples/Sunflower.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Visualization-of-the-Sunflower-Graph"><a class="docs-heading-anchor" href="#Visualization-of-the-Sunflower-Graph">Visualization of the Sunflower Graph</a><a id="Visualization-of-the-Sunflower-Graph-1"></a><a class="docs-heading-anchor-permalink" href="#Visualization-of-the-Sunflower-Graph" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="MultiscaleGraphSignalTransforms.SunFlowerGraph" href="#MultiscaleGraphSignalTransforms.SunFlowerGraph"><code>MultiscaleGraphSignalTransforms.SunFlowerGraph</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SunFlowerGraph(; N = 400)</code></pre><p>SUNFLOWERGRAPH construct a simple weighted sunflower graph with N vertices. Edge weights are the reciprocal of Euclidean distances.</p><p><strong>Input Arguments</strong></p><ul><li><code>N::Int64</code>: default is 400, the number of vertices. Requires N &gt; 26.</li></ul><p><strong>Output Argument</strong></p><ul><li><code>G::SimpleWeightedGraph{Int64,Float64}</code>: a simple weighted graph of the sunflower.</li><li><code>L::Matrix{Float64}</code>: the weighted unnormalized graph Laplacian matrix.</li><li><code>X::Matrix{Float64}</code>: a matrix whose i-th row represent the 2D coordinates of the i-th node.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/UCD4IDS/MultiscaleGraphSignalTransforms.jl/blob/c270b3b338426c242d3cf6345bc1008ea2abc120/src/SunFlowerGraph.jl#L2-L15">source</a></section></article><p>Let us see how to visualize the sunflower graph by <code>gplot()</code> and <code>scatter_gplot()</code>.</p><pre><code class="language- hljs">using MultiscaleGraphSignalTransforms, LightGraphs, Plots
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Sunflower Graph · MultiscaleGraphSignalTransforms.jl</title><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img src="../../assets/logo.png" alt="MultiscaleGraphSignalTransforms.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">MultiscaleGraphSignalTransforms.jl</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">Home</a></li><li><input class="collapse-toggle" id="menuitem-2" type="checkbox" checked/><label class="tocitem" for="menuitem-2"><span class="docs-label">Examples</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../P64/">1D Path</a></li><li><a class="tocitem" href="../Grid7x3/">2D Lattice</a></li><li class="is-active"><a class="tocitem" href>Sunflower Graph</a></li></ul></li><li><input class="collapse-toggle" id="menuitem-3" type="checkbox"/><label class="tocitem" for="menuitem-3"><span class="docs-label">Functions</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../../functions/Partition/">Recursive Graph Partitioning</a></li><li><a class="tocitem" href="../../functions/HGLET/">Hierarchical Graph Laplacian Eigen Transform</a></li><li><a class="tocitem" href="../../functions/GHWT/">Generalized Haar-Walsh Transform</a></li><li><a class="tocitem" href="../../functions/eGHWT/">extended Generalized Haar-Walsh Transform</a></li><li><a class="tocitem" href="../../functions/NGWD/">Natural Graph Wavelet Dictionaries</a></li><li><a class="tocitem" href="../../functions/Utils/">Utils</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Examples</a></li><li class="is-active"><a href>Sunflower Graph</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Sunflower Graph</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/UCD4IDS/MultiscaleGraphSignalTransforms.jl/blob/master/docs/src/examples/Sunflower.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Visualization-of-the-Sunflower-Graph"><a class="docs-heading-anchor" href="#Visualization-of-the-Sunflower-Graph">Visualization of the Sunflower Graph</a><a id="Visualization-of-the-Sunflower-Graph-1"></a><a class="docs-heading-anchor-permalink" href="#Visualization-of-the-Sunflower-Graph" title="Permalink"></a></h1><article class="docstring"><header><a class="docstring-binding" id="MultiscaleGraphSignalTransforms.SunFlowerGraph" href="#MultiscaleGraphSignalTransforms.SunFlowerGraph"><code>MultiscaleGraphSignalTransforms.SunFlowerGraph</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">SunFlowerGraph(; N = 400)</code></pre><p>SUNFLOWERGRAPH construct a simple weighted sunflower graph with N vertices. Edge weights are the reciprocal of Euclidean distances.</p><p><strong>Input Arguments</strong></p><ul><li><code>N::Int64</code>: default is 400, the number of vertices. Requires N &gt; 26.</li></ul><p><strong>Output Argument</strong></p><ul><li><code>G::SimpleWeightedGraph{Int64,Float64}</code>: a simple weighted graph of the sunflower.</li><li><code>L::Matrix{Float64}</code>: the weighted unnormalized graph Laplacian matrix.</li><li><code>X::Matrix{Float64}</code>: a matrix whose i-th row represent the 2D coordinates of the i-th node.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/UCD4IDS/MultiscaleGraphSignalTransforms.jl/blob/6bf3b9676b767f4ac512ccdadb14f4e029c5090e/src/SunFlowerGraph.jl#L2-L15">source</a></section></article><p>Let us see how to visualize the sunflower graph by <code>gplot()</code> and <code>scatter_gplot()</code>.</p><pre><code class="language- hljs">using MultiscaleGraphSignalTransforms, LightGraphs, Plots
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G, L, X = SunFlowerGraph(); N = nv(G)
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scatter_gplot!(X; marker = f, ms = LinRange(1, 9, N))
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plot!(frame = :none, size = (815, 500)) # hide</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../Grid7x3/">« 2D Lattice</a><a class="docs-footer-nextpage" href="../../functions/Partition/">Recursive Graph Partitioning »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.23 on <span class="colophon-date" title="Friday 16 December 2022 22:15">Friday 16 December 2022</span>. Using Julia version 1.8.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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plot!(frame = :none, size = (815, 500)) # hide</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../Grid7x3/">« 2D Lattice</a><a class="docs-footer-nextpage" href="../../functions/Partition/">Recursive Graph Partitioning »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Sunday 12 February 2023 03:52">Sunday 12 February 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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