Scalable Bayesian uncertainty quantification with data-driven priors for radio interferometric imaging

TI Liaudat, M Mars, MA Price, M Pereyra… - RAS Techniques …, 2024 - academic.oup.com
Next-generation radio interferometers like the Square Kilometer Array have the potential to
unlock scientific discoveries thanks to their unprecedented angular resolution and …

Provably convergent plug-and-play quasi-Newton methods

HY Tan, S Mukherjee, J Tang, CB Schönlieb - SIAM Journal on Imaging …, 2024 - SIAM
Plug-and-Play (PnP) methods are a class of efficient iterative methods that aim to combine
data fidelity terms and deep denoisers using classical optimization algorithms, such as ISTA …

Asynchronous multi-model dynamic federated learning over wireless networks: Theory, modeling, and optimization

ZL Chang, S Hosseinalipour, M Chiang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Federated learning (FL) has emerged as a key technique for distributed machine learning
(ML). Most literature on FL has focused on ML model training for (i) a single task/model, with …

What's in a Prior? Learned Proximal Networks for Inverse Problems

Z Fang, S Buchanan, J Sulam - arXiv preprint arXiv:2310.14344, 2023 - arxiv.org
Proximal operators are ubiquitous in inverse problems, commonly appearing as part of
algorithmic strategies to regularize problems that are otherwise ill-posed. Modern deep …

Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation

Z Shumaylov, J Budd, S Mukherjee… - arXiv preprint arXiv …, 2024 - arxiv.org
Variational regularisation is the primary method for solving inverse problems, and recently
there has been considerable work leveraging deeply learned regularisation for enhanced …

Error Estimates for Data-driven Weakly Convex Frame-based Image Regularization

A Ebner, M Schwab, M Haltmeier - arXiv preprint arXiv:2406.17461, 2024 - arxiv.org
Inverse problems are fundamental in fields like medical imaging, geophysics, and
computerized tomography, aiming to recover unknown quantities from observed data …

[PDF][PDF] Boosting weakly convex ridge regularizers with spatial adaptivity

SJ Neumayer, M Pourya, A Goujon… - Fourth Workshop on …, 2023 - infoscience.epfl.ch
We propose to enhance 1-weakly convex ridge regularizers for image reconstruction by
incorporating spatial adaptivity. To this end, we resort to a neural network that generates a …

Efficient image restoration via non-convex total variation regularization and ADMM optimization

N Kumar, M Sonkar, G Bhatnagar - Applied Mathematical Modelling, 2024 - Elsevier
This article presents a novel approach to image restoration utilizing a unique non-convex l
1/2-TV regularization model. This model integrates the l 1/2-quasi norm as a regularization …

On the Strong Convexity of PnP Regularization using Linear Denoisers

A Sinha, KN Chaudhury - IEEE Signal Processing Letters, 2024 - ieeexplore.ieee.org
In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical
proximal algorithms for image reconstruction. It is known that a broad class of linear …

The Star Geometry of Critic-Based Regularizer Learning

O Leong, E O'Reilly, YS Soh - arXiv preprint arXiv:2408.16852, 2024 - arxiv.org
Variational regularization is a classical technique to solve statistical inference tasks and
inverse problems, with modern data-driven approaches parameterizing regularizers via …