SINGAPORE – Lim Meng Liang, 38, spends most of his time solving the impossible. As a specialist in Diophantine equations – notoriously complex mathematical problems famous for having no solutions – ...

Abstract: Existing diffusion-based methods for inverse problems sample from the posterior using score functions and accept the generated random samples as solutions. In applications that posterior ...

We propose a new method called Decoupled Annealing Posterior Sampling (DAPS) that relies on a novel noise annealing process to solve posterior sampling with diffusion prior. Specifically, we decouple ...

Abstract: Sampling from the posterior distribution in latent diffusion models for inverse problems is computationally challenging. Existing methods often rely on Tweedie's first-order moments that ...