Jun 25, 2021 · We show that on 1- or 2-parameter persistence modules over prime fields, d_{\mathcal I}^p is the universal (ie, largest) metric satisfying a natural stability ...
Topics · Presentation Distance · p-Wasserstein Distance · Interleaving Distance · Multiparameter Persistence Modules · Barcodes · Prime Field · Topological Data ...
Nov 11, 2021 · In this paper, we develop a theory of ℓp-distances on multiparameter persistence modules which extends and closely parallels the existing theory.
Motivated both by theoretical and practical considerations in topological data analysis, we generalize the $p$-Wasserstein distance on barcodes to ...
Duration: 1:13:54
Posted: May 7, 2021
Posted: May 7, 2021
Missing: 𝓁p- | Show results with:𝓁p-
Explores generalizations of p-Wasserstein distance for multi-parameter persistence modules, introducing d_I^p and d_M^p metrics.
Jun 12, 2024 · For one-parameter persistence modules, the interleaving distance equals the bottleneck distance. This fact is known as the isometry theorem.
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Jun 13, 2023 · 1 Introduction. 1.1 About These Notes. These are course notes for a two-semester graduate topics course on multiparameter persistence.
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In particular the Lp vector space norms on multiparameter landscapes provide stable, computable distance functions for mul- tiparameter persistence modules. 7 ...
For one-parameter persistence modules, the interleaving distance equals the bottleneck distance. This fact is known as the isometry theorem. There is no ...
Missing: 𝓁p- | Show results with:𝓁p-