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A Mathematical Introduction to Diffusion Models
arXiv:2607. 01693v1 Announce Type: new Abstract: These notes give a proof-oriented introduction to diffusion models from the viewpoint of sampling, tracing a single arc from classical sampling dynamics to modern diffusion samplers, their error analysis, and inference-time control.
Japanese Stable Diffusion
Information Spreading in Diffusion Models from Effective Field Theory
The paper investigates score‑matching diffusion models that use a convolutional architecture, arguing that their locality bias allows effective field theory from physics to describe denoising dynamics. The authors first apply this framework to a toy example with an analytical solution, then to MNIST, demonstrating that in both settings the mutual information between two points increases as predicted by a simple effective field theory of Brownian motion.
VQ-Diffusion
Simplifying, stabilizing, and scaling continuous-time consistency models
We’ve simplified, stabilized, and scaled continuous-time consistency models, achieving comparable sample quality to leading diffusion models, while using only two sampling steps.
Simulation-free and finite-time diffusion model
arXiv:2608. 03117v1 Announce Type: new Abstract: The performance of generative diffusion models is determined by the choice of the reference diffusion process connecting the empirical and prior distributions.
Accelerating Stable Diffusion Inference on Intel CPUs
Infinite-dimensional generative diffusions via Doob's h-transform
arXiv:2602.06621v2 Announce Type: replace-cross Abstract: This paper introduces a rigorous framework for defining generative diffusion models in infinite dimensions via Doob's h-transform. Rather tha...