Optimal-Transport on Xu'Bloghttps://xuquant.com/tags/optimal-transport/Recent content in Optimal-Transport on Xu'BlogXu'Bloghttps://xuquant.com/og-default.pnghttps://xuquant.com/og-default.pngHugo -- 0.152.2zhWed, 06 May 2026 09:00:00 +0800最优传输与 Wasserstein 距离：从 Monge 到 Kantorovichhttps://xuquant.com/posts/mathematics/probability/optimal-transport-wasserstein/Wed, 06 May 2026 09:00:00 +0800https://xuquant.com/posts/mathematics/probability/optimal-transport-wasserstein/从 Monge 搬运问题到 Kantorovich 松弛，推导 Wasserstein 距离的定义与对偶形式，解释为何 W 距离比 KL 散度更适合衡量分布差异。Flow Matching 与一致性模型：生成范式的新统一https://xuquant.com/posts/mathematics/diffusion/flow-matching-consistency/Sat, 25 Apr 2026 09:00:00 +0800https://xuquant.com/posts/mathematics/diffusion/flow-matching-consistency/从扩散模型的随机路径到 Flow Matching 的确定性最优传输路径，再到一致性模型的单步蒸馏，建立生成模型 ODE 视角的统一框架。