https://yiwen-cai.github.io/tags/ode/Recent content in ODE on Yiwen CaiHugo -- gohugo.iozh-cncaiyiwen.cs@foxmail.com (Yiwen Cai)caiyiwen.cs@foxmail.com (Yiwen Cai)© 2026 Yiwen CaiThu, 03 Sep 2026 09:28:04 +0800https://yiwen-cai.github.io/notes/diffusion/flow-matching/Wed, 02 Sep 2026 00:00:00 +0000caiyiwen.cs@foxmail.com (Yiwen Cai)https://yiwen-cai.github.io/notes/diffusion/flow-matching/Flow Matching 通过回归可解析的条件向量场，间接学到边缘向量场，实现 simulation-free 训练。涵盖条件概率路径、边缘化技巧、连续性方程与 Gaussian CondOT 的完整推导。https://yiwen-cai.github.io/notes/diffusion/flow-and-diffusion-models/Tue, 01 Sep 2026 00:00:00 +0000caiyiwen.cs@foxmail.com (Yiwen Cai)https://yiwen-cai.github.io/notes/diffusion/flow-and-diffusion-models/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。