3 papers
stat.ME2026
Bridging data-driven priors via the score function for posterior sampling -- Comparative review and experimental study
Elhadji Cisse Faye, Mame Diarra Fall, Sylvain Delchini +1
This paper reviews how a diverse set of popular data-driven priors commonly used in Bayesian inverse problems can be unified through their respective score functions. By framing th…
stat.CO2025
Bregman geometry-aware split Gibbs sampling for Bayesian Poisson inverse problems
Elhadji Cisse Faye, Mame Diarra Fall, Nicolas Dobigeon +1
This paper proposes a novel Bayesian framework for solving Poisson inverse problems by devising a Monte Carlo sampling algorithm which accounts for the underlying non-Euclidean geo…
stat.ML2024
Regularization by denoising: Bayesian model and Langevin-within-split Gibbs sampling
Elhadji C. Faye, Mame Diarra Fall, Nicolas Dobigeon
This paper introduces a Bayesian framework for image inversion by deriving a probabilistic counterpart to the regularization-by-denoising (RED) paradigm. It additionally implements…