How Many Directions Must a Truncated Diffusion Sampler Retain? Matching Bounds Under Power-Law Spectra
math.ST, cs.LG, stat.ML, stat.TH
Submitted: 2026-10-07
Updated: 2026-10-07
Terminology
Sources
- Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions
- Nearly $d$-Linear Convergence Bounds for Diffusion Models via Stochastic Localization
- Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions
- Convergence of denoising diffusion models under the manifold hypothesis
- The total variation distance between high-dimensional Gaussians with the same mean
- Low-dimensional adaptation of diffusion models: Convergence in total variation
- Linear Convergence of Diffusion Models Under the Manifold Hypothesis
- Score-Based Generative Modeling through Stochastic Differential Equations
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