99 citations · 157 across the 39 of their papers we have counts for
4 papers · 1 filter
Confidence Bands for Multiparameter Persistence Landscapes
Inés García-Redondo, Anthea Monod, Qiquan Wang
Multiparameter persistent homology is a generalization of classical persistent homology, a central and widely-used methodology from topological data analysis, which takes into acco…
Wavelet-Based Density Estimation for Persistent Homology
Konstantin Häberle, Barbara Bravi, Anthea Monod
Persistent homology is a central methodology in topological data analysis that has been successfully implemented in many fields and is becoming increasingly popular and relevant. T…
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…
Estimating thresholding levels for random fields via Euler characteristics
Robert J. Adler, Kevin Bartz, Sam C. Kou +1
We introduce Lipschitz-Killing curvature (LKC) regression, a new method to produce thresholds for signal detection in random fields that does not require knowledge of the s…