297 citations · 1.5k across the 199 of their papers we have counts for
4 papers · 2 filters
Variational image regularization with Euler's elastica using a discrete gradient scheme
Torbjørn Ringholm, Jasmina Lazić, Carola-Bibiane Schönlieb
This paper concerns an optimization algorithm for unconstrained non-convex problems where the objective function has sparse connections between the unknowns. The algorithm is based…
Choose your path wisely: gradient descent in a Bregman distance framework
Martin Benning, Marta M. Betcke, Matthias J. Ehrhardt +1
We propose an extension of a special form of gradient descent -- in the literature known as linearised Bregman iteration -- to a larger class of non-convex functions. We replace th…
Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications
Antonin Chambolle, Matthias J. Ehrhardt, Peter Richtárik +1
We propose a stochastic extension of the primal-dual hybrid gradient algorithm studied by Chambolle and Pock in 2011 to solve saddle point problems that are separable in the dual v…
Learning Filter Functions in Regularisers by Minimising Quotients
Martin Benning, Guy Gilboa, Joana Sarah Grah +1
Learning approaches have recently become very popular in the field of inverse problems. A large variety of methods has been established in recent years, ranging from bi-level learn…