3 papers
cs.LG2026
Mercer Large-Scale Kernel Machines from Ridge Function Perspective
Karol Dziedziul, Sergey Kryzhevich, PaweÅ WieczyÅski
To present Mercer large-scale kernel machines from a ridge function perspective, we recall the results by Lin and Pinkus from {\it Fundamentality of ridge functions}. We consider t…
math.DS2026
Shift maps and statistical invariants for some dynamical systems
Sergey Kryzhevich, Yiwei Zhang
Given a dynamical system, we study the so-called space of shift functions thus introducing another vision on bifurcations and chaos. As an application of the obtained results, we g…
math.DS2024
Bifurcations and invariant sets for a family of replicator maps from evolutionary games
Sergey Kryzhevich, Yiwei Zhang, Magdalena Chmara
We study the dynamics of a family of replicator maps, depending on two parameters. Such studies are motivated by the analysis of the dynamics of evolutionary games under selections…