Výsledky vyhledávání - "STEPHENSON, ELIZABETH A."

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Switch Points of Bi-Persistence Matching Distance

Autor: Brooks, Robyn, Hacker, Celia, Landi, Claudia, Mahler, Barbara I., Stephenson, Elizabeth R.

In multi-parameter persistence, the matching distance is defined as the supremum of weighted bottleneck distances on the barcodes given by the restriction of persistence modules to lines with a positive slope. In the case of finitely presented bi-per

Externí odkaz: http://arxiv.org/abs/2312.02955

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Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values

Autor: Bapat, Asilata, Brooks, Robyn, Hacker, Celia, Landi, Claudia, Mahler, Barbara I., Stephenson, Elizabeth R.

The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact computation of this distance would allow multi-parameter persistent h

Externí odkaz: http://arxiv.org/abs/2210.12868

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Tight bounds for the learning of homotopy \`a la Niyogi, Smale, and Weinberger for subsets of Euclidean spaces and of Riemannian manifolds

Autor: Attali, Dominique, Kouřimská, Hana Dal Poz, Fillmore, Christopher, Ghosh, Ishika, Lieutier, André, Stephenson, Elizabeth, Wintraecken, Mathijs

In this article we extend and strengthen the seminal work by Niyogi, Smale, and Weinberger on the learning of the homotopy type from a sample of an underlying space. In their work, Niyogi, Smale, and Weinberger studied samples of $C^2$ manifolds with

Externí odkaz: http://arxiv.org/abs/2206.10485

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