45 citations · 163 across the 16 of their papers we have counts for
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math.ST2017★ 17 cited
Tropical Sufficient Statistics for Persistent Homology
Anthea Monod, Sara Kališnik, Juan Ángel Patiño-Galindo +1
We show that an embedding in Euclidean space based on tropical geometry generates stable sufficient statistics for barcodes. In topological data analysis, barcodes are multiscale s…
math.AT2017★ 19 cited
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…