<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Lab on Sanketh's Blog</title><link>https://sankethbk.github.io/blog/tags/lab/</link><description>Recent content in Lab on Sanketh's Blog</description><generator>Hugo -- 0.167.0</generator><language>en-us</language><lastBuildDate>Mon, 21 Sep 2026 00:00:00 +0530</lastBuildDate><atom:link href="https://sankethbk.github.io/blog/tags/lab/index.xml" rel="self" type="application/rss+xml"/><item><title>Lab: Word2Vec's Static Embedding Problem</title><link>https://sankethbk.github.io/blog/posts/ml/2026-09-20-lab-word2vec-static-limitations/</link><pubDate>Mon, 21 Sep 2026 00:00:00 +0530</pubDate><guid>https://sankethbk.github.io/blog/posts/ml/2026-09-20-lab-word2vec-static-limitations/</guid><description>&lt;h1 id="lab-word2vecs-static-embedding-problem"&gt;Lab: Word2Vec&amp;rsquo;s Static Embedding Problem&lt;/h1&gt;
&lt;p&gt;Word2Vec and GloVe produce &lt;strong&gt;one vector per word&lt;/strong&gt;. That is their strength — compact, reusable — and their fundamental weakness: a word with multiple meanings is forced into a single point in space.&lt;/p&gt;
&lt;p&gt;This notebook uses tiny synthetic vectors to show the problem before we move to contextual models.&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;-webkit-text-size-adjust:none;"&gt;&lt;code class="language-python" data-lang="python"&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;&lt;span style="color:#f92672"&gt;import&lt;/span&gt; numpy &lt;span style="color:#66d9ef"&gt;as&lt;/span&gt; np
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;&lt;span style="color:#66d9ef"&gt;def&lt;/span&gt; &lt;span style="color:#a6e22e"&gt;cosine&lt;/span&gt;(a, b):
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#66d9ef"&gt;return&lt;/span&gt; float(np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;dot(a, b) &lt;span style="color:#f92672"&gt;/&lt;/span&gt; (np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;linalg&lt;span style="color:#f92672"&gt;.&lt;/span&gt;norm(a) &lt;span style="color:#f92672"&gt;*&lt;/span&gt; np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;linalg&lt;span style="color:#f92672"&gt;.&lt;/span&gt;norm(b)))
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;&lt;span style="color:#75715e"&gt;# Hand-designed 4-dim vectors. &amp;#39;bank&amp;#39; is forced to sit between two meanings.&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;embeddings &lt;span style="color:#f92672"&gt;=&lt;/span&gt; {
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;river&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;1.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;stream&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.9&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.1&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;money&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;1.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;cash&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.1&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.9&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;bank&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.5&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.5&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;]), &lt;span style="color:#75715e"&gt;# one static compromise&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;cat&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;1.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.1&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt; &lt;span style="color:#e6db74"&gt;&amp;#34;dog&amp;#34;&lt;/span&gt;: np&lt;span style="color:#f92672"&gt;.&lt;/span&gt;array([&lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.0&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.9&lt;/span&gt;, &lt;span style="color:#ae81ff"&gt;0.2&lt;/span&gt;]),
&lt;/span&gt;&lt;/span&gt;&lt;span style="display:flex;"&gt;&lt;span&gt;}
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;h2 id="1-polysemy-one-vector-cannot-be-in-two-places-at-once"&gt;1. Polysemy: one vector cannot be in two places at once&lt;/h2&gt;
&lt;p&gt;In a real corpus, &lt;code&gt;bank&lt;/code&gt; appears near &lt;code&gt;river&lt;/code&gt; &lt;em&gt;and&lt;/em&gt; near &lt;code&gt;money&lt;/code&gt;. Word2Vec averages the pressure and lands somewhere in between.&lt;/p&gt;</description></item></channel></rss>