4 papers
Proximity operator characterization for abstract convex functions
Ewa Bednarczuk, The Hung Tran
We consider proximity operator as a selector of the subgradient in the context of abstract convexity and characterize its properties in term of minimization problems. We also inves…
Searching point patterns in point clouds describing local topography
Ewa Bednarczuk, RafaÅ BieÅkowski, Robert KÅopotek +4
We address the problem of comparing and aligning spatial point configurations in arising from structured geometric patterns. Each pattern is decomposed into arms alo…
Primal-Dual algorithms for Abstract convex functions with respect to quadratic functions
Ewa Bednarczuk, The Hung Tran
We consider the saddle point problem where the objective functions are abstract convex with respect to the class of quadratic functions. We propose primal-dual algorithms using the…
Primal-dual algorithm for weakly convex functions under sharpness conditions
Ewa Bednarczuk, The Hung Tran, Monika Syga
We investigate the convergence of the primal-dual algorithm for composite optimization problems when the objective functions are weakly convex. We introduce a modified duality gap…