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06/21/2022
A Theory of Sub-Barcodes
From the work of Bauer and Lesnick, it is known that there is no functor...
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12/03/2020
Sketching Persistence Diagrams
Given a persistence diagram with n points, we give an algorithm that pro...
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12/03/2020
A Sparse Delaunay Filtration
We show how a filtration of Delaunay complexes can be used to approximat...
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09/05/2018
Randomized Incremental Construction of Net-Trees
Net-trees are a general purpose data structure for metric data that have...
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07/21/2018
Adaptive Metrics for Adaptive Samples
In this paper we consider adaptive sampling's local-feature size, used i...
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07/20/2018
The Generalized Persistent Nerve Theorem
In this paper a parameterized generalization of a good cover filtration ...
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07/04/2017