How well does diffusion model generate? - ...
summary
Provides the first end-to-end quantitative bound that couples training and sampling for denoising diffusion models, proving a non-asymptotic bound on gradient-descent training of wide ReLU nets and propagating that score error through discretized backward SDEs to a KL-style generation error. Delivers hyperparameter rules: a bell-shaped total weighting matches EDM practice, and polynomial (EDM) vs exponential schedules trade off when networks are poorly vs well trained. Analysis holds in an overparameterized NTK regime and leaves empirical vs population gaps.
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chapters (6)
- 0:00Introduction to diffusion
- 2:39Training and score matching
- 10:10Sampling and inference analysis
- 26:59Training dynamics and convergence
- 44:15Full error analysis and schedules
- 50:58Summary and future research
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