99 citations · 157 across the 39 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.ST2017★ 15 cited
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…