<?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>Iterative Methods on Yuchen Du</title><link>https://dudusoar.github.io/tags/iterative-methods/</link><description>Recent content in Iterative Methods on Yuchen Du</description><generator>Hugo -- 0.164.0</generator><language>en-us</language><lastBuildDate>Fri, 17 Jul 2026 00:00:00 +0000</lastBuildDate><atom:link href="https://dudusoar.github.io/tags/iterative-methods/index.xml" rel="self" type="application/rss+xml"/><item><title>Where Stochastic Approximation Begins: Learning from a Noisy Target</title><link>https://dudusoar.github.io/posts/stochastic-approximation/01-learning-from-a-noisy-target/</link><pubDate>Fri, 17 Jul 2026 00:00:00 +0000</pubDate><guid>https://dudusoar.github.io/posts/stochastic-approximation/01-learning-from-a-noisy-target/</guid><description>Stochastic approximation begins when the true target is hidden and each update can use only a noisy estimate of it.</description></item><item><title>Model Error as Distance to the True Target</title><link>https://dudusoar.github.io/posts/stochastic-approximation/02-model-error-as-distance-to-target/</link><pubDate>Fri, 17 Jul 2026 00:00:00 +0000</pubDate><guid>https://dudusoar.github.io/posts/stochastic-approximation/02-model-error-as-distance-to-target/</guid><description>Why convergence should track distance to the true target rather than the size of the latest update.</description></item><item><title>What the Step Size Really Means</title><link>https://dudusoar.github.io/posts/stochastic-approximation/04-what-the-step-size-means/</link><pubDate>Fri, 17 Jul 2026 00:00:00 +0000</pubDate><guid>https://dudusoar.github.io/posts/stochastic-approximation/04-what-the-step-size-means/</guid><description>The step size is simultaneously a movement ratio, a trust coefficient, and a weight on new information.</description></item><item><title>The Same Step Size Behaves Differently with and without Noise</title><link>https://dudusoar.github.io/posts/stochastic-approximation/07-noiseless-versus-noisy-updates/</link><pubDate>Fri, 17 Jul 2026 00:00:00 +0000</pubDate><guid>https://dudusoar.github.io/posts/stochastic-approximation/07-noiseless-versus-noisy-updates/</guid><description>Alpha equal to one is optimal for an exact target but accepts the full disturbance when the target is noisy.</description></item></channel></rss>