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    <title>Recurrent Neural Networks on Programmer.ie: Modern AI programming</title>
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      <title>Models From First Principles 04: HRM — Hierarchical Reasoning With Fast and Slow Recurrent State</title>
      <link>http://programmer.ie/post/models-from-first-principles-04/</link>
      <pubDate>Sat, 08 Aug 2026 14:48:00 +0100</pubDate>
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      <description>&lt;h1 id=&#34;hrm--hierarchical-reasoning-with-fast-and-slow-recurrent-state&#34;&gt;HRM — Hierarchical Reasoning With Fast and Slow Recurrent State&lt;/h1&gt;&#xA;&lt;p&gt;The previous models in this series were mostly &lt;strong&gt;one-pass models&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;p&gt;MR.Q took two embeddings and produced one score.&lt;/p&gt;&#xA;&lt;p&gt;EBT kept the same basic structure but added several heads.&lt;/p&gt;&#xA;&lt;p&gt;SICQL made those heads explicit components.&lt;/p&gt;&#xA;&lt;p&gt;The architecture grew, but the shape of the computation was still familiar:&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;input&#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;encoder&#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;representation&#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;heads&#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;outputs&#xA;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;p&gt;HRM changes the question.&lt;/p&gt;</description>
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