1 citations · 1 across the 4 of their papers we have counts for
7 papers
Continuity of Magnitude at Finite Subsets of
Sara Kališnik, Davorin Lešnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster in 2011. It is nowhere continuous on the Gromov--Hausdorff space of finite metric spaces, however, posit…
Continuity of Magnitude at Skew Finite Subsets of
Sara Kalisnik, Davorin Lesnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Although magnitude is nowhere continuous on the Gromov-Hausdorff space of finite metric spaces, continu…
Tractable Metric Spaces and Magnitude Continuity
Sara Kališnik, Davorin Lešnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Since its inception, it has inspired active research into its connections with integral geometry, geome…
Finding the Homology of Manifolds using Ellipsoids
Sara Kalisnik, Davorin Lesnik
A standard problem in applied topology is how to discover topological invariants of data from a noisy point cloud that approximates it. We consider the case where a sample is drawn…
Symmetric Polynomials in Upper-bound Semirings
Sara Kališnik, Davorin Lešnik
The fundamental theorem of symmetric polynomials over rings is a classical result which states that every unital commutative ring is fully elementary, i.e. we can express symmetric…
The Higher-Dimensional Skeletonization Problem
Sara Kalisnik Verovsek, Vitaliy Kurlin, Davorin Lesnik
Real data is often given as a point cloud, i.e. a finite set of points with pairwise distances between them. An important problem is to detect the topological shape of data --- for…