297 citations · 1.5k across the 199 of their papers we have counts for
8 papers · 1 filter
Preconditioned ADMM with nonlinear operator constraint
Martin Benning, Florian Knoll, Carola-Bibiane Schönlieb +1
We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisa…
Infimal Convolution Regularisation Functionals of BV and Spaces. The Case p
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis +1
In this paper we analyse an infimal convolution type regularisation functional called , based on the total variation () and the $\mathrm{L}^{\in…
Asymptotic speed of propagation for a viscous semilinear parabolic equation
A. Cesaroni, N. Dirr, M. Novaga
We characterize the asymptotic speed of propagation of almost planar solutions to a semilinear viscous parabolic equation, with periodic nonlinearity.
Bilevel parameter learning for higher-order total variation regularisation models
J. C. De los Reyes, C. -B. Schönlieb, T. Valkonen
We consider a bilevel optimisation approach for parameter learning in higher-order total variation image reconstruction models. Apart from the least squares cost functional, natura…
Bilevel approaches for learning of variational imaging models
Luca Calatroni, Cao Chung, Juan Carlos De Los Reyes +2
We review some recent learning approaches in variational imaging, based on bilevel optimisation, and emphasize the importance of their treatment in function space. The paper covers…
The structure of optimal parameters for image restoration problems
Juan Carlos De Los Reyes, Carola-Bibiane Schönlieb, Tuomo Valkonen
We study the qualitative properties of optimal regularisation parameters in variational models for image restoration. The parameters are solutions of bilevel optimisation problems…
A generalized model for optimal transport of images including dissipation and density modulation
Jan Maas, Martin Rumpf, Carola Schönlieb +1
In this paper the optimal transport and the metamorphosis perspectives are combined. For a pair of given input images geodesic paths in the space of images are defined as minimizer…
Infimal convolution regularisation functionals of BV and spaces. Part I: The finite case
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis +1
We study a general class of infimal convolution type regularisation functionals suitable for applications in image processing. These functionals incorporate a combination of the to…