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 …

Improving diffusion models for inverse problems using manifold constraints

H Chung, B Sim, D Ryu, JC Ye - Advances in Neural …, 2022 - proceedings.neurips.cc
Recently, diffusion models have been used to solve various inverse problems in an
unsupervised manner with appropriate modifications to the sampling process. However, the …

Denoising diffusion restoration models

B Kawar, M Elad, S Ermon… - Advances in Neural …, 2022 - proceedings.neurips.cc
Many interesting tasks in image restoration can be cast as linear inverse problems. A recent
family of approaches for solving these problems uses stochastic algorithms that sample from …

Denoising diffusion models for plug-and-play image restoration

Y Zhu, K Zhang, J Liang, J Cao… - Proceedings of the …, 2023 - openaccess.thecvf.com
Abstract Plug-and-play Image Restoration (IR) has been widely recognized as a flexible and
interpretable method for solving various inverse problems by utilizing any off-the-shelf …

Pseudoinverse-guided diffusion models for inverse problems

J Song, A Vahdat, M Mardani, J Kautz - International Conference on …, 2023 - openreview.net
Diffusion models have become competitive candidates for solving various inverse problems.
Models trained for specific inverse problems work well but are limited to their particular use …

Diffusion schrödinger bridge with applications to score-based generative modeling

V De Bortoli, J Thornton, J Heng… - Advances in Neural …, 2021 - proceedings.neurips.cc
Progressively applying Gaussian noise transforms complex data distributions to
approximately Gaussian. Reversing this dynamic defines a generative model. When the …

Score-based diffusion models as principled priors for inverse imaging

BT Feng, J Smith, M Rubinstein… - Proceedings of the …, 2023 - openaccess.thecvf.com
Priors are essential for reconstructing images from noisy and/or incomplete measurements.
The choice of the prior determines both the quality and uncertainty of recovered images. We …

Soft diffusion: Score matching for general corruptions

G Daras, M Delbracio, H Talebi, AG Dimakis… - arxiv preprint arxiv …, 2022 - arxiv.org
We define a broader family of corruption processes that generalizes previously known
diffusion models. To reverse these general diffusions, we propose a new objective called …

Stochastic solutions for linear inverse problems using the prior implicit in a denoiser

Z Kadkhodaie, E Simoncelli - Advances in Neural …, 2021 - proceedings.neurips.cc
Deep neural networks have provided state-of-the-art solutions for problems such as image
denoising, which implicitly rely on a prior probability model of natural images. Two recent …

Neural‐network‐based regularization methods for inverse problems in imaging

A Habring, M Holler - GAMM‐Mitteilungen, 2024 - Wiley Online Library
This review provides an introduction to—and overview of—the current state of the art in
neural‐network based regularization methods for inverse problems in imaging. It aims to …