Keio Univ. Yagami-campus, Building 14, Room 631 A/B
3-14-1 Kouhoku-ku, Hiyoshi, Yokohama 223-8522, JAPAN
Speaker: Kei Hagihara
Title: Distributions of persistent homology barcodes associated with
random samples from metric spaces
Abstract: In this talk, we give an overview of the paper by
Blumberg-Gal-Mandell-Pancia, entitled
"Robust statistics, hypothesis testing, and confidence intervals
for persistent homology on metric measure spaces"(Found.Comp.Math.14(2014)),
where they introduce the probability distribution
of persistent homology barcodes associated with finite random samples
taken from a fixed metric measure space, study its properties,
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