2 papers
math.GT2022
Expectation of topological invariants
Taejin Paik, Otto van Koert
In this paper, we study the expectation values of topological invariants of the Vietoris-Rips complex and Čech complex for a finite set of sample points on a Riemannian manifold. W…
cs.CV2022
Atlas flow : compatible local structures on the manifold
Taejin Paik, Jaemin Park, Jung Ho Park
In this paper, we focus on the intersections of a manifold's local structures to analyze the global structure of a manifold. We obtain local regions on data manifolds such as the l…