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math.MG2023
Stability and Approximations for Decorated Reeb Spaces
Justin Curry, Washington Mio, Tom Needham +2
Given a map from a topological space to a metric space , a decorated Reeb space consists of the Reeb space, together with an attribution function whose values re…
math.MG2023
On Metrics for Analysis of Functional Data on Geometric Domains
Soheil Anbouhi, Washington Mio, Osman Berat Okutan
This paper employs techniques from metric geometry and optimal transport theory to address questions related to the analysis of functional data on metric or metric-measure spaces,…