Žiga Virk

collaborators

5 papers

math.DS2026

Detecting invariant manifolds of dynamical systems using persistent homology

Stavros Anastassiou, Å½iga Virk

We use methods of Persistent Homology Theory to study invariant manifolds of dynamical systems. We first establish connections between the persistence diagrams of two sets which ar…

cs.LG2026

A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification

Sushovan Majhi, Atish Mitra, Å½iga Virk +1

We introduce PLACE (Persistence-Landmark Analytic Classification Engine), a closed-form pipeline for classifying point clouds and graphs through their persistent-homology signature…

cs.LG2026

A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification

Sushovan Majhi, Atish Mitra, Å½iga Virk +1

We introduce PALACE (Persistence Adaptive-Landmark Analytic Classification Engine), the data-adaptive companion to PLACE, paying a small cross-validation tier on three knobs (budge…

math.MG2025

Lower Bounding the Gromov--Hausdorff distance in Metric Graphs

Henry Adams, Sushovan Majhi, Fedor Manin +2

Let $G$ be a finite, connected metric graph and let $X \subseteq G$ be a subset. If $X$ is sufficiently dense in $G$ , we show that the Gromov--Hausdorff distance matches the Hausdor…

math.MG2025

Contractibility of the Rips complexes of Integer lattices via local domination

Å½iga Virk

We prove that for each positive integer $n$ , the Rips complexes of the $n$ -dimensional integer lattice in the $d_{1}$ metric (i.e., the Manhattan metric, also called the natural word…