Learned reconstruction methods with convergence guarantees: A survey of concepts and applications

S Mukherjee, A Hauptmann, O Öktem… - IEEE Signal …, 2023 - ieeexplore.ieee.org
In recent years, deep learning has achieved remarkable empirical success for image
reconstruction. This has catalyzed an ongoing quest for the precise characterization of the …

A variational perspective on solving inverse problems with diffusion models

M Mardani, J Song, J Kautz, A Vahdat - arxiv preprint arxiv:2305.04391, 2023 - arxiv.org
Diffusion models have emerged as a key pillar of foundation models in visual domains. One
of their critical applications is to universally solve different downstream inverse tasks via a …

Iterative residual optimization network for limited-angle tomographic reconstruction

J Pan, H Yu, Z Gao, S Wang, H Zhang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Limited-angle tomographic reconstruction is one of the typical ill-posed inverse problems,
leading to edge divergence with degraded image quality. Recently, deep learning has been …

Bayesian imaging using plug & play priors: when langevin meets tweedie

R Laumont, VD Bortoli, A Almansa, J Delon… - SIAM Journal on Imaging …, 2022 - SIAM
Since the seminal work of Venkatakrishnan, Bouman, and Wohlberg [Proceedings of the
Global Conference on Signal and Information Processing, IEEE, 2013, pp. 945--948] in …

Proximal denoiser for convergent plug-and-play optimization with nonconvex regularization

S Hurault, A Leclaire… - … Conference on Machine …, 2022 - proceedings.mlr.press
Abstract Plug-and-Play (PnP) methods solve ill-posed inverse problems through iterative
proximal algorithms by replacing a proximal operator by a denoising operation. When …

Neural conservation laws: A divergence-free perspective

J Richter-Powell, Y Lipman… - Advances in Neural …, 2022 - proceedings.neurips.cc
We investigate the parameterization of deep neural networks that by design satisfy the
continuity equation, a fundamental conservation law. This is enabled by the observation that …

Equivariant plug-and-play image reconstruction

M Terris, T Moreau, N Pustelnik… - Proceedings of the …, 2024 - openaccess.thecvf.com
Plug-and-play algorithms constitute a popular framework for solving inverse imaging
problems that rely on the implicit definition of an image prior via a denoiser. These …

A neural-network-based convex regularizer for inverse problems

A Goujon, S Neumayer, P Bohra… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
The emergence of deep-learning-based methods to solve image-reconstruction problems
has enabled a significant increase in quality. Unfortunately, these new methods often lack …

Learning weakly convex regularizers for convergent image-reconstruction algorithms

A Goujon, S Neumayer, M Unser - SIAM Journal on Imaging Sciences, 2024 - SIAM
We propose to learn non-convex regularizers with a prescribed upper bound on their weak-
convexity modulus. Such regularizers give rise to variational denoisers that minimize a …

Fast diffusion em: a diffusion model for blind inverse problems with application to deconvolution

C Laroche, A Almansa… - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
Using diffusion models to solve inverse problems is a growing field of research. Current
methods assume the degradation to be known and provide impressive results in terms of …