4 papers
Model Consistency of the Iterative Regularization of Dual Ascent for Low-Complexity Regularization
Jie Gao, Cesare Molinari, Silvia Villa +1
Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include varia…
Partial Smoothness, Subdifferentials and Set-valued Operators
Ziqi Qin, Jingwei Liang
Over the past decades, the concept "partial smoothness" has been playing as a powerful tool in several fields involving nonsmooth analysis, such as nonsmooth optimization, inverse…
A Composed Alternating Relaxed Projection Algorithm for Feasibility Problem
Yuting Shen, Jingwei Liang
Feasibility problem aims to find a common point of two or more closed (convex) sets whose intersection is nonempty. In the literature, projection based algorithms are widely adopte…
A Guide to Stochastic Optimisation for Large-Scale Inverse Problems
Matthias J. Ehrhardt, Zeljko Kereta, Jingwei Liang +1
Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dra…