105 citations · 761 across the 48 of their papers we have counts for
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math.OC2016★ 16 cited
Block-proximal methods with spatially adapted acceleration
Tuomo Valkonen
We study and develop (stochastic) primal--dual block-coordinate descent methods for convex problems based on the method due to Chambolle and Pock. Our methods have known convergenc…
math.OC2016★ 60 cited
Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization
Christian Clason, Tuomo Valkonen
We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces. Local convergence is s…
math.NA2016★ 3 cited
Explorations on anisotropic regularisation of dynamic inverse problems by bilevel optimisation
Martin Benning, Carola-Bibiane Schönlieb, Tuomo Valkonen +1
We explore anisotropic regularisation methods in the spirit of [Holler & Kunisch, 14]. Based on ground truth data, we propose a bilevel optimisation strategy to compute the optimal…