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Merge pull request #74 from ericmjl/example/message-passing

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Providing an example for message passing + interactive REPL
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Fabio Pliger
2022-05-01 11:14:41 -05:00
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<html>
<head>
<link rel="stylesheet" href="https://pyscript.net/alpha/pyscript.css" />
<script defer src="https://pyscript.net/alpha/pyscript.js"></script>
</head>
<body>
<py-env>
- numpy
- networkx
- matplotlib
</py-env>
<py-script>
import numpy as np
import networkx as nx
</py-script>
<p>Message passing with linear algebra: a demo.</p>
<p>Imagine we have a chain graph that looks like this:</p>
<pre><code>O --> 1 --> 2 --> 3</code></pre>
<p>In NetworkX this graph would look like the following:</p>
<pre>
<py-script>
G = nx.Graph()
nodes = list(range(4))
G.add_edges_from(zip(nodes[0:-1], nodes[1:]))
print(G.edges())
</py-script></pre>
<p>This chain graph has the following adjacency matrix:</p>
<pre>
<py-script>
adj_mat = np.eye(4, k=1)
print(f"A: {adj_mat}")
</py-script>
</pre>
<p>And imagine that we have a message that lives on the graph:</p>
<pre>
<py-script>
message = np.array([1.0, 0.0, 0.0, 0.0])
print(f"message: {message}")
</py-script>
</pre>
<p>Try out message passing below by doing any one of the following steps:</p>
<pre><code>message @ adj_mat</code></pre>
<pre><code>message @ adj_mat @ adj_mat</code></pre>
<pre><code>message @ adj_mat @ adj_mat @ adj_mat</code></pre>
<div>
<py-repl id="my-repl" auto-generate="true"> </py-repl>
</div>
</body>
</html>