A sharp convergence theory for the probability flow odes of diffusion models

G Li, Y Wei, Y Chi, Y Chen - arXiv preprint arXiv:2408.02320, 2024 - arxiv.org
Diffusion models, which convert noise into new data instances by learning to reverse a
diffusion process, have become a cornerstone in contemporary generative modeling. In this …

Improved convergence rate for diffusion probabilistic models

G Li, Y Jiao - arXiv preprint arXiv:2410.13738, 2024 - arxiv.org
Score-based diffusion models have achieved remarkable empirical performance in the field
of machine learning and artificial intelligence for their ability to generate high-quality new …

Convergence of score-based discrete diffusion models: A discrete-time analysis

Z Zhang, Z Chen, Q Gu - arXiv preprint arXiv:2410.02321, 2024 - arxiv.org
Diffusion models have achieved great success in generating high-dimensional samples
across various applications. While the theoretical guarantees for continuous-state diffusion …

Provable acceleration for diffusion models under minimal assumptions

G Li, C Cai - arXiv preprint arXiv:2410.23285, 2024 - arxiv.org
While score-based diffusion models have achieved exceptional sampling quality, their
sampling speeds are often limited by the high computational burden of score function …

How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Framework

Y Ren, H Chen, GM Rotskoff, L Ying - arXiv preprint arXiv:2410.03601, 2024 - arxiv.org
Discrete diffusion models have gained increasing attention for their ability to model complex
distributions with tractable sampling and inference. However, the error analysis for discrete …