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data geometry 1denoising diffusion 1diffusion sampling 1information-theoretic bounds 1step-size scheduling 1stochastic differential equations 1

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math.ST2026

Denoising growth complexity: Data geometry and certified schedules for diffusion sampling

Martin J. Wainwright

The paper introduces the denoising growth complexity (DGC) as a geometric measure to analyze diffusion‑based sampling, and uses it to derive certified KL‑error bounds for Euler‑typ…

math.ST2026

Fast Score-Based Sampling via Log-Concave Reductions

M. J. Wainwright

Sampling based on score diffusions has led to striking empirical results, and has attracted considerable attention from various research communities. It depends on availability of…