<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
  <channel>
    <title>Reasoning Models on Programmer.ie: Modern AI programming</title>
    <link>http://programmer.ie/tags/reasoning-models/</link>
    <description>Recent content in Reasoning Models on Programmer.ie: Modern AI programming</description>
    <generator>Hugo</generator>
    <language>en-us</language>
    <lastBuildDate>Sat, 08 Aug 2026 15:11:00 +0100</lastBuildDate>
    <atom:link href="http://programmer.ie/tags/reasoning-models/index.xml" rel="self" type="application/rss+xml" />
    <item>
      <title>Models From First Principles 08: Which Model Should You Use? MR.Q, EBT, SICQL, HRM, Tiny and PACS Compared</title>
      <link>http://programmer.ie/post/models-from-first-principles-08/</link>
      <pubDate>Sat, 08 Aug 2026 15:11:00 +0100</pubDate>
      <guid>http://programmer.ie/post/models-from-first-principles-08/</guid>
      <description>&lt;h1 id=&#34;which-model-should-you-use-mrq-ebt-sicql-hrm-tiny-and-pacs-compared&#34;&gt;Which Model Should You Use? MR.Q, EBT, SICQL, HRM, Tiny and PACS Compared&lt;/h1&gt;&#xA;&lt;p&gt;This is the final post in &lt;strong&gt;Models From First Principles&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;p&gt;The earlier posts asked a sequence of architectural questions:&lt;/p&gt;&#xA;&lt;ul&gt;&#xA;&lt;li&gt;how do we score a context-response pair?&lt;/li&gt;&#xA;&lt;li&gt;when is one scalar no longer enough?&lt;/li&gt;&#xA;&lt;li&gt;when should Q, V and policy become explicit components?&lt;/li&gt;&#xA;&lt;li&gt;when is one forward pass insufficient?&lt;/li&gt;&#xA;&lt;li&gt;when does recurrence help?&lt;/li&gt;&#xA;&lt;li&gt;when does hierarchy help?&lt;/li&gt;&#xA;&lt;li&gt;when is a smaller recursive model a better trade-off?&lt;/li&gt;&#xA;&lt;li&gt;when should attention or a sparse autoencoder be added?&lt;/li&gt;&#xA;&lt;li&gt;when should we change the optimizer rather than the model?&lt;/li&gt;&#xA;&lt;/ul&gt;&#xA;&lt;p&gt;This post asks the question that matters when building a real system:&lt;/p&gt;</description>
    </item>
    <item>
      <title>Models From First Principles 05: Tiny — Recursive Reasoning With a Small Neural Network</title>
      <link>http://programmer.ie/post/models-from-first-principles-05/</link>
      <pubDate>Sat, 08 Aug 2026 14:55:00 +0100</pubDate>
      <guid>http://programmer.ie/post/models-from-first-principles-05/</guid>
      <description>&lt;h1 id=&#34;tiny--recursive-reasoning-with-a-small-neural-network&#34;&gt;Tiny — Recursive Reasoning With a Small Neural Network&lt;/h1&gt;&#xA;&lt;p&gt;The previous post introduced a much more ambitious architecture.&lt;/p&gt;&#xA;&lt;p&gt;Instead of taking one representation and predicting from it once, the &lt;strong&gt;Hierarchical Reasoning Model&lt;/strong&gt; repeatedly updated two latent states:&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;low-level state&#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;high-level state&#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;repeat&#xA;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;p&gt;That gave us something genuinely new:&lt;/p&gt;&#xA;&lt;p&gt;&lt;strong&gt;computation could continue without adding a new set of parameters for every step.&lt;/strong&gt;&lt;/p&gt;</description>
    </item>
    <item>
      <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>
      <guid>http://programmer.ie/post/models-from-first-principles-04/</guid>
      <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>
    </item>
    <item>
      <title>Models From First Principles 00: The Model Inside the Model</title>
      <link>http://programmer.ie/post/models-from-first-principles-00/</link>
      <pubDate>Sat, 08 Aug 2026 14:27:00 +0100</pubDate>
      <guid>http://programmer.ie/post/models-from-first-principles-00/</guid>
      <description>&lt;h1 id=&#34;the-model-inside-the-model&#34;&gt;The Model Inside the Model&lt;/h1&gt;&#xA;&lt;p&gt;This is the first post in &lt;strong&gt;Models From First Principles&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;p&gt;The previous &lt;strong&gt;PyTorch: Zero to Hero&lt;/strong&gt; series worked from the bottom up.&lt;/p&gt;&#xA;&lt;p&gt;We started with tensors.&lt;/p&gt;&#xA;&lt;p&gt;Then gradients.&lt;/p&gt;&#xA;&lt;p&gt;Then &lt;code&gt;nn.Module&lt;/code&gt;.&lt;/p&gt;&#xA;&lt;p&gt;Then data pipelines, convolution, attention, debugging, performance and finally a small GPT-style language model built from scratch.&lt;/p&gt;&#xA;&lt;p&gt;That series answered:&lt;/p&gt;&#xA;&lt;blockquote&gt;&#xA;&lt;p&gt;What are the pieces?&lt;/p&gt;&lt;/blockquote&gt;&#xA;&lt;p&gt;This series asks a different question:&lt;/p&gt;&#xA;&lt;blockquote&gt;&#xA;&lt;p&gt;What happens when we start composing those pieces into increasingly sophisticated models?&lt;/p&gt;</description>
    </item>
  </channel>
</rss>
