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math.ST2026
A Two-Sample Test on Weighted Persistence Intensity Functions in Topological Data Analysis
Yeongung Han, Ilmun Kim, Jisu Kim
Persistence intensity functions provide interpretable and informative first-order summaries of random persistence diagram distributions. We study two-sample testing for equality of…
math.ST2023
On the estimation of persistence intensity functions and linear representations of persistence diagrams
Weichen Wu, Jisu Kim, Alessandro Rinaldo
The prevailing statistical approach to analyzing persistence diagrams is concerned with filtering out topological noise. In this paper, we adopt a different viewpoint and aim at es…