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12/07/2021
Tighter Bounds for Reconstruction from ε-samples
We show that reconstructing a curve in ℝ^d for d≥ 2 from a 0.66-sample i...
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12/01/2021
Quasi-universality of Reeb graph distances
We establish bi-Lipschitz bounds certifying quasi-universality (universa...
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11/19/2021
Asymptotic Improvements on the Exact Matching Distance for 2-parameter Persistence
In the field of topological data analysis, persistence modules are used ...
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06/25/2021
ℓ^p-Distances on Multiparameter Persistence Modules
Motivated both by theoretical and practical considerations in topologica...
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11/22/2018
Computing the interleaving distance is NP-hard
We show that computing the interleaving distance between two multi-grade...
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12/12/2017