3 citations · 10 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
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,…
Topologically Attributed Graphs for Shape Discrimination
Justin Curry, Washington Mio, Tom Needham +2
In this paper we introduce a novel family of attributed graphs for the purpose of shape discrimination. Our graphs typically arise from variations on the Mapper graph construction,…
Convergence of Leray Cosheaves for Decorated Mapper Graphs
Justin Curry, Washington Mio, Tom Needham +2
We introduce decorated mapper graphs as a generalization of mapper graphs capable of capturing more topological information of a data set. A decorated mapper graph can be viewed as…