This paper investigates the convergence properties and applications of the three-operator
splitting method, also known as the Davis–Yin splitting (DYS) method, integrated with …

The Plug-and-Play framework has demonstrated that a denoiser can implicitly serve as the
image prior for model-based methods for solving various inverse problems such as image …

Imaging tasks are typically tackled using a structured optimization framework. This paper
delves into a class of algorithms for difference-of-convex (DC) structured optimization …

Many large-scale regularized inverse problems in imaging such as image restoration and
reconstruction can be modeled as a generic objective function involves sum of nonsmooth …

These notes focus on the minimization of convex functionals using first-order optimization
methods, which are fundamental in many areas of applied mathematics and engineering …

This article introduces a novel approach to learning monotone neural networks through a
newly defined penalization loss. The proposed method is particularly effective in solving …

We consider the problem of learning a graph modeling the statistical relations of the $ d $
variables of a dataset with $ n $ samples $ X\in\mathbb {R}^{n\times d} $. Standard …

Plug-and-play methods constitute a class of iterative algorithms for imaging inverse
problems where regularization is performed by an off-the-shelf Gaussian denoiser. These …

Imaging inverse problems are fundamental in various fields like diagnostic medicine and
manufacturing engineering. Current methods for reconstruction can be divided into …