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03/01/2022
A Lattice-Theoretic Perspective on the Persistence Map
We provide a naturally isomorphic description of the persistence map fro...
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11/10/2021
The Impact of Changes in Resolution on the Persistent Homology of Images
Digital images enable quantitative analysis of material properties at mi...
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10/12/2021
Localized Persistent Homologies for more Effective Deep Learning
Persistent Homologies have been successfully used to increase the perfor...
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10/22/2020
From trees to barcodes and back again: theoretical and statistical perspectives
Methods of topological data analysis have been successfully applied in a...
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05/10/2020
Duality in Persistent Homology of Images
We derive the relationship between the persistent homology barcodes of t...
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10/18/2019