Supervised learning of sparsity-promoting regularizers for denoising

MT McCann, S Ravishankar - arXiv preprint arXiv:2006.05521, 2020 - arxiv.org
We present a method for supervised learning of sparsity-promoting regularizers for image
denoising. Sparsity-promoting regularization is a key ingredient in solving modern image …

Learning Sparsity-Promoting Regularizers using Bilevel Optimization

A Ghosh, M McCann, M Mitchell, S Ravishankar - SIAM Journal on Imaging …, 2024 - SIAM
We present a gradient-based heuristic method for supervised learning of sparsity-promoting
regularizers for denoising signals and images. Sparsity-promoting regularization is a key …

Regularized non-Gaussian image denoising

A Oh, R Willett - arXiv preprint arXiv:1508.02971, 2015 - arxiv.org
In image denoising problems, one widely-adopted approach is to minimize a regularized
data-fit objective function, where the data-fit term is derived from a physical image …

Deep denoising: Rate-optimal recovery of structured signals with a deep prior

R Heckel, W Huang, P Hand, V Voroninski - 2018 - openreview.net
Deep neural networks provide state-of-the-art performance for image denoising, where the
goal is to recover a near noise-free image from a noisy image. The underlying principle is …

Batch-less stochastic gradient descent for compressive learning of deep regularization for image denoising

H Shi, Y Traonmilin, JF Aujol - Journal of Mathematical Imaging and Vision, 2024 - Springer
We consider the problem of denoising with the help of prior information taken from a
database of clean signals or images. Denoising with variational methods is very efficient if a …

Averaged Deep Denoisers for Image Regularization

P Nair, KN Chaudhury - Journal of Mathematical Imaging and Vision, 2024 - Springer
Abstract Plug-and-Play (PnP) and Regularization-by-Denoising (RED) are recent paradigms
for image reconstruction that leverage the power of modern denoisers for image …

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

A Goujon, S Neumayer, M Unser - arXiv preprint arXiv:2308.10542, 2023 - arxiv.org
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 …

[PDF][PDF] Deep learning for image denoising

HM Li - International Journal of Signal Processing, Image …, 2014 - Citeseer
Deep learning is an emerging approach for finding concise, slightly higher level
representations of the inputs, and has been successfully applied to many practical learning …

Image denoising with multi-layer perceptrons, part 1: comparison with existing algorithms and with bounds

HC Burger, CJ Schuler, S Harmeling - arXiv preprint arXiv:1211.1544, 2012 - arxiv.org
Image denoising can be described as the problem of mapping from a noisy image to a noise-
free image. The best currently available denoising methods approximate this mapping with …

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 …