Load--Reserve Wasserstein Propagation for Isotropic Diffusion Samplers
Many Wasserstein analyses of diffusion samplers control reverse-time propagation by global stability summaries of the learned drift. These summaries can hide radial geometry: equal-height expansive regions of different width can yield different propagation costs. We give a profile-adapted propagation interface for scalar-isotropic reverse-SDE windows with certified learned-drift profiles. A certified lower radial profile is compiled into an affine-tail transportation cost: reflection coupling reduces stability to a one-dimensional slope budget, and Hardy capacity quantifies the load paid before a contractive tail reserve. The compiler yields an adapted cost, contraction rate, and retained...
| Authors | Zicheng Lyu, Zengfeng Huang |
|---|---|
| Primary category | cs.LG |
| Published | 20 March 2026 |
| Last updated at source | 9 May 2026 |
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