5 citations · 7 across the 2 of their papers we have counts for
3 papers
Bregman Itoh--Abe methods for sparse optimisation
Martin Benning, Erlend S. Riis, Carola-Bibiane Schönlieb
In this paper we propose optimisation methods for variational regularisation problems based on discretising the inverse scale space flow with discrete gradient methods. Inverse sca…
A geometric integration approach to nonsmooth, nonconvex optimisation
Erlend S. Riis, Matthias J. Ehrhardt, G. R. W. Quispel +1
The optimisation of nonsmooth, nonconvex functions without access to gradients is a particularly challenging problem that is frequently encountered, for example in model parameter…
A geometric integration approach to smooth optimisation: Foundations of the discrete gradient method
Matthias J. Ehrhardt, Erlend S. Riis, Torbjørn Ringholm +1
Discrete gradient methods are geometric integration techniques that can preserve the dissipative structure of gradient flows. Due to the monotonic decay of the function values, the…