2 citations · 3 across the 7 of their papers we have counts for
9 papers
On the application of the Wasserstein metric to 2D curves classification
Agnieszka Kaliszewska, Monika Syga
In this work we analyse a number of variants of the Wasserstein distance which allow to focus the classification on the prescribed parts (fragments) of classified 2D curves. These…
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…
Characterisation of zero duality gap for optimization problems in spaces without linear structure
Ewa Bednarczuk, Monika Syga
We prove sufficient and necessary conditions ensuring zero duality gap for Lagrangian duality in some classes of nonconvex optimization problems. To this aim, we use the -convex…
A comprehensive study of clustering a class of 2D shapes
Agnieszka Kaliszewska, Monika Syga
The paper concerns clustering with respect to the shape and size of 2D contours that are boundaries of cross-sections of 3D objects of revolution. We propose a number of similarity…
On duality for nonconvex minimization problems within the framework of abstract convexity
Ewa M. Bednarczuk, Monika Syga
By applying the perturbation function approach, we propose the Lagrangian and the conjugate duals for minimization problems of the sum of two, generally nonconvex, functions. The m…
Lagrangian duality for nonconvex optimization problems with abstract convex functions
Ewa M. Bednarczuk, Monika Syga
We investigate Lagrangian duality for nonconvex optimization problems. To this aim we use the -convexity theory and minimax theorem for -convex functions. We provide conditio…
On global properties of lower semicontinuous quadratically minorized functions
Monika Syga
We use the framework of a type of abstract convexity (-convexity) to investigate properties of lower semicontinuous quadratically minorized functions in Hilbert spaces. A…
Minimax theorems for convex functions
Monika Syga
In this paper provide sufficient and necessary conditions for the minimax equality for extended-valued -convex functions. As an application we establish sufficient and necessary…
On minimax theorems for lower semicontinuous functions in Hilbert spaces
Ewa M. Bednarczuk, Monika Syga
We prove minimax theorems for lower semicontinuous functions defined on a Hilbert space. The main tool is the theory of -convex functions and sufficient and necessary conditions…