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    <title>Persistence on Programmer.ie: Modern AI programming</title>
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      <title>Cellular Automata From First Principles 41: Train for Persistence</title>
      <link>http://programmer.ie/post/cellular-automata-from-first-principles-41/</link>
      <pubDate>Mon, 10 Aug 2026 20:37:00 +0100</pubDate>
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      <description>&lt;h1 id=&#34;cellular-automata-from-first-principles-41-train-for-persistence&#34;&gt;Cellular Automata From First Principles 41: Train for Persistence&lt;/h1&gt;&#xA;&lt;p&gt;Growing a target once is not enough.&lt;/p&gt;&#xA;&lt;p&gt;A useful self-organizing system should continue to satisfy its objective after it arrives.&lt;/p&gt;&#xA;&lt;p&gt;That means the target should behave more like an &lt;strong&gt;attractor&lt;/strong&gt; than a timestamped frame.&lt;/p&gt;&#xA;&lt;h2 id=&#34;the-failure-mode&#34;&gt;The failure mode&lt;/h2&gt;&#xA;&lt;p&gt;Suppose training always evaluates at step 64.&lt;/p&gt;&#xA;&lt;p&gt;The model can learn:&lt;/p&gt;&#xA;&lt;div class=&#34;highlight&#34;&gt;&lt;pre tabindex=&#34;0&#34; style=&#34;color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;&#34;&gt;&lt;code class=&#34;language-text&#34; data-lang=&#34;text&#34;&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt;seed&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt; ↓&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt;grow&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt; ↓&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt;target at step 64&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt; ↓&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt;overshoot&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt; ↓&#xA;&lt;/span&gt;&lt;/span&gt;&lt;span style=&#34;display:flex;&#34;&gt;&lt;span&gt;disintegrate&#xA;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;p&gt;The loss never sees the failure after step 64.&lt;/p&gt;</description>
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