28 citations · 76 across the 5 of their papers we have counts for
11 papers
Convex relaxation of discrete vector-valued optimization problems
Christian Clason, Carla Tameling, Benedikt Wirth
We consider a class of infinite-dimensional optimization problems in which a distributed vector-valued variable should pointwise almost everywhere take values from a given finite s…
Regularization of Inverse Problems
Christian Clason
These lecture notes for a graduate class present the regularization theory for linear and nonlinear ill-posed operator equations in Hilbert spaces. Covered are the general framewor…
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…
Optimal control problems with control complementarity constraints
Christian Clason, Yu Deng, Patrick Mehlitz +1
A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever…
Acceleration and global convergence of a first-order primal--dual method for nonconvex problems
Christian Clason, Stanislav Mazurenko, Tuomo Valkonen
The primal--dual hybrid gradient method (PDHGM, also known as the Chambolle--Pock method) has proved very successful for convex optimization problems involving linear operators ari…