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    <title>Policy on Programmer.ie: Modern AI programming</title>
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    <lastBuildDate>Sat, 08 Aug 2026 14:39:00 +0100</lastBuildDate>
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      <title>Models From First Principles 02: EBT — From One Score to Q, V, Policy and Advantage</title>
      <link>http://programmer.ie/post/models-from-first-principles-02/</link>
      <pubDate>Sat, 08 Aug 2026 14:39:00 +0100</pubDate>
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      <description>&lt;h1 id=&#34;ebt--from-one-score-to-q-v-policy-and-advantage&#34;&gt;EBT — From One Score to Q, V, Policy and Advantage&lt;/h1&gt;&#xA;&lt;p&gt;In the previous post we built MR.Q: a small model that takes a context embedding and a response embedding, combines them, and predicts one scalar.&lt;/p&gt;&#xA;&lt;p&gt;That architecture is useful because it is brutally simple:&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;context embedding&#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;response embedding&#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 z&#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;    predictor&#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;      Q value&#xA;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;p&gt;But one scalar eventually becomes restrictive.&lt;/p&gt;</description>
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