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59 lines
1.5 KiB
HTML
59 lines
1.5 KiB
HTML
<html>
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<head>
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<link rel="icon" type="image/x-icon" href="./favicon.png">
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<link rel="stylesheet" href="https://pyscript.net/latest/pyscript.css" />
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<script defer src="https://pyscript.net/latest/pyscript.js"></script>
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</head>
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<body>
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<py-config>
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packages = [
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"numpy",
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"networkx",
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"matplotlib"
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]
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</py-config>
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<py-script>
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import numpy as np
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import networkx as nx
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</py-script>
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<p>Message passing with linear algebra: a demo.</p>
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<p>Imagine we have a chain graph that looks like this:</p>
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<pre><code>O --> 1 --> 2 --> 3</code></pre>
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<p>In NetworkX this graph would look like the following:</p>
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<pre>
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<py-script>
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G = nx.Graph()
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nodes = list(range(4))
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G.add_edges_from(zip(nodes[0:-1], nodes[1:]))
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print(G.edges())
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</py-script></pre>
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<p>This chain graph has the following adjacency matrix:</p>
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<pre>
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<py-script>
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adj_mat = np.eye(4, k=1)
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print(f"A: {adj_mat}")
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</py-script>
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</pre>
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<p>And imagine that we have a message that lives on the graph:</p>
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<pre>
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<py-script>
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message = np.array([1.0, 0.0, 0.0, 0.0])
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print(f"message: {message}")
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</py-script>
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</pre>
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<p>Try out message passing below by doing any one of the following steps:</p>
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<pre><code>message @ adj_mat</code></pre>
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<pre><code>message @ adj_mat @ adj_mat</code></pre>
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<pre><code>message @ adj_mat @ adj_mat @ adj_mat</code></pre>
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<div>
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<py-repl id="my-repl" auto-generate="true"> </py-repl>
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</div>
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</body>
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</html>
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