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Quotient Geometry and Persistence-Stable Metrics for Swarm Configurations

Bailey, Mark M.
arXiv (All) · Papers
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algebraic-topologymachine-learningsocial-and-information-networkssystems-and-control
Can temporal information recover geometry lost by a persistence diagram? For $n\ge3$ points on the unit sphere evolving under known homogeneous complete consensus, we prove generic local recovery modulo rotations and permutations from two ordinary zero-dimensional Vietoris--Rips persistence snapshot
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