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Learned reconstruction methods with convergence guarantees: A survey of concepts and applications
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 …
reconstruction. This has catalyzed an ongoing quest for the precise characterization of the …
A variational perspective on solving inverse problems with diffusion models
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 …
of their critical applications is to universally solve different downstream inverse tasks via a …
Iterative residual optimization network for limited-angle tomographic reconstruction
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 …
leading to edge divergence with degraded image quality. Recently, deep learning has been …
Bayesian imaging using plug & play priors: when langevin meets tweedie
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 …
Global Conference on Signal and Information Processing, IEEE, 2013, pp. 945--948] in …
Proximal denoiser for convergent plug-and-play optimization with nonconvex regularization
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 …
proximal algorithms by replacing a proximal operator by a denoising operation. When …
Neural conservation laws: A divergence-free perspective
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 …
continuity equation, a fundamental conservation law. This is enabled by the observation that …
Equivariant plug-and-play image reconstruction
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 …
problems that rely on the implicit definition of an image prior via a denoiser. These …
A neural-network-based convex regularizer for inverse problems
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 …
has enabled a significant increase in quality. Unfortunately, these new methods often lack …
Learning weakly convex regularizers for convergent image-reconstruction algorithms
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 …
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
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 …
methods assume the degradation to be known and provide impressive results in terms of …