Do Bayesian imaging methods report trustworthy probabilities?

no code implementations • 13 May 2024 • David Y. W. Thong, Charlesquin Kemajou Mbakam, Marcelo Pereyra

We then leverage the proposed Monte Carlo method and run a large experiment requiring 1, 000 GPU-hours to probe the accuracy of five canonical Bayesian imaging methods that are representative of some of the main Bayesian imaging strategies from the past decades (a score-based denoising diffusion technique, a plug-and-play Langevin algorithm utilising a Lipschitz-regularised DnCNN denoiser, a Bayesian method with a dictionary-based prior trained subject to a log-concavity constraint, an empirical Bayesian method with a total-variation prior, and a hierarchical Bayesian Gibbs sampler based on a Gaussian Markov random field model).

Denoising Uncertainty Quantification