Advances in Diffusion-Based Models and Inverse Problem Solvers

The field of diffusion-based models and inverse problem solvers is experiencing significant growth, with a focus on improving the accuracy and efficiency of these methods. Recent developments have highlighted the importance of understanding the posterior distribution in blind deconvolution and the role of diffusion-based priors in capturing realistic image distributions. Additionally, researchers are exploring new approaches to inject measurement information into diffusion-based inverse problem solvers, leading to faster and more noise-robust solutions. Convergence guarantees for diffusion-based generative models are also being established, providing a foundation for further advancements. Noteworthy papers in this area include: Injecting Measurement Information Yields a Fast and Noise-Robust Diffusion-Based Inverse Problem Solver, which proposes a new approach to estimate the conditional posterior mean, resulting in a fast and memory-efficient inverse solver. Convergence of Deterministic and Stochastic Diffusion-Model Samplers, which provides new convergence guarantees in Wasserstein distance for diffusion-based generative models, covering both stochastic and deterministic sampling methods.

Sources

How Diffusion Prior Landscapes Shape the Posterior in Blind Deconvolution

Injecting Measurement Information Yields a Fast and Noise-Robust Diffusion-Based Inverse Problem Solver

Convergence of Deterministic and Stochastic Diffusion-Model Samplers: A Simple Analysis in Wasserstein Distance

Temporal Exploration of Random Spanning Tree Models

Exactly simulating stochastic chemical reaction networks in sub-constant time per reaction

Polynomial-time sampling despite disorder chaos

An Investigation into the Distribution of Ratios of Particle Solver-based Likelihoods

Built with on top of