28 citations · 76 across the 7 of their papers we have counts for
11 papers · 1 filter
Variational Analysis in Spectral Decomposition Systems
Hòa T. Bùi, Minh N. Bùi, Christian Clason
This work is concerned with variational analysis of so-called spectral functions and spectral sets of matrices that only depend on eigenvalues of the matrix. Based on our previous…
Convex Analysis in Spectral Decomposition Systems
Hòa T. Bùi, Minh N. Bùi, Christian Clason
This work is concerned with the convex analysis of functions defined on (not necessarily finite-dimensional) Hilbert spaces whose values depend solely on a certain ``spectrum'' of…
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…
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…
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…