Séminaire des doctorants Orléans
Elhadji Cisse Faye: Bayesian inversion with deep learning-driven priors.
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Europe/Paris
Salle de séminaire (IDP-Orléans)
Salle de séminaire
IDP-Orléans
Description
This thesis addresses the restoration of degraded images, a key challenge in medical imaging, astrophysics, and microscopy. The goal is to recover an image from noisy observations while quantifying uncertainty. We adopt a Bayesian approach that combines explicit probabilistic modeling with deep neural networks trained for denoising. We design novel sampling algorithms, including a Gibbs-type scheme that integrates Langevin dynamics adapted to the geometry of the problem. Our methods achieve high-quality reconstructions and provide rigorous uncertainty estimates, enabling more interpretable and reliable image analysis.