<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>SDE on Yiwen Cai</title><link>https://yiwen-cai.github.io/tags/sde/</link><description>Recent content in SDE on Yiwen Cai</description><generator>Hugo -- gohugo.io</generator><language>zh-cn</language><managingEditor>caiyiwen.cs@foxmail.com (Yiwen Cai)</managingEditor><webMaster>caiyiwen.cs@foxmail.com (Yiwen Cai)</webMaster><copyright>© 2026 Yiwen Cai</copyright><lastBuildDate>Fri, 11 Sep 2026 17:20:09 +0800</lastBuildDate><atom:link href="https://yiwen-cai.github.io/tags/sde/index.xml" rel="self" type="application/rss+xml"/><item><title>MIT 6.S184: Flow Matching and Diffusion Models — 第 4 章：Score 函数与 Score Matching</title><link>https://yiwen-cai.github.io/notes/diffusion/score-based-diffusion/</link><pubDate>Fri, 11 Sep 2026 00:00:00 +0000</pubDate><author>caiyiwen.cs@foxmail.com (Yiwen Cai)</author><guid>https://yiwen-cai.github.io/notes/diffusion/score-based-diffusion/</guid><description>从条件 score 的后验平均出发，推导高斯路径下 score、去噪器与速度场的转换，用 Fokker–Planck 方程解释如何给 ODE 加噪而保持边缘分布，并将 score matching 化为噪声回归。</description></item><item><title>MIT 6.S184: Flow Matching and Diffusion Models — 第 2 章：流模型与扩散模型</title><link>https://yiwen-cai.github.io/notes/diffusion/flow-and-diffusion-models/</link><pubDate>Tue, 01 Sep 2026 00:00:00 +0000</pubDate><author>caiyiwen.cs@foxmail.com (Yiwen Cai)</author><guid>https://yiwen-cai.github.io/notes/diffusion/flow-and-diffusion-models/</guid><description>深入解析连续时间生成模型的基础范式：从向量场定义、ODE 与 Flow 映射，到布朗运动、SDE 随机动力学及数值模拟（Euler 与 Euler-Maruyama 方法），建立确定性流与随机扩散的统一视角。</description></item></channel></rss>