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Path representations in multiparameter persistent homology (2507.23762v1)
Published 31 Jul 2025 in math.AT
Abstract: Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance investigates the distance along a straight line in the multiparameter space that gives the biggest difference. We propose to generalize the straight line to a monotone path filtration and offer software implementations.
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