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01/09/2023
Strong Collapse of Random Simplicial Complexes
The strong collapse of a simplicial complex, proposed by Barmak and Mini...
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01/09/2023
Sparse Geometric Set Systems and the Beck-Fiala Conjecture
We investigate the combinatorial discrepancy of geometric set systems ha...
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01/09/2023
Dimensionality Reduction for Persistent Homology with Gaussian Kernels
Computing persistent homology using Gaussian kernels is useful in the do...
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11/19/2021
Uniform Brackets, Containers, and Combinatorial Macbeath Regions
We study the connections between three seemingly different combinatorial...
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10/12/2021
Dimensionality Reduction for k-Distance Applied to Persistent Homology
Given a set P of n points and a constant k, we are interested in computi...
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09/13/2021
On Shallow Packings and Tusnády's Problem
Tusnády's problem asks to bound the discrepancy of points and axis-paral...
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05/20/2020