77 citations · 625 across the 37 of their papers we have counts for
4 papers · 1 filter
Optimal control of the principal coefficient in a scalar wave equation
Christian Clason, Karl Kunisch, Philip Trautmann
We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence o…
Entropic regularization of continuous optimal transport problems
Christian Clason, Dirk A. Lorenz, Hinrich Mahler +1
We analyze continuous optimal transport problems in the so-called Kantorovich form, where we seek a transport plan between two marginals that are probability measures on compact su…
Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem
Christian Clason, Vu Huu Nhu
In this paper, we consider a modified Levenberg--Marquardt method for solving an ill-posed inverse problem where the forward mapping is not Gâteaux differentiable. By relaxing the…
Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization
Christian Clason, Stanislav Mazurenko, Tuomo Valkonen
We demonstrate that difficult non-convex non-smooth optimization problems, such as Nash equilibrium problems and anisotropic as well as isotropic Potts segmentation model, can be w…