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01/11/2023
Fast persistent homology computation for functions on ℝ
0-dimensional persistent homology is known, from a computational point o...
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03/14/2022
Swap, Shift and Trim to Edge Collapse a Filtration
Boissonnat and Pritam introduced an algorithm to reduce a filtration of ...
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02/03/2022
RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
The use of topological descriptors in modern machine learning applicatio...
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05/07/2021
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs
Although neural networks are capable of reaching astonishing performance...
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03/31/2021
Lower bound on the Voronoi diagram of lines in ℝ^d
This note gives a lower bound of Ω(n^⌈ 2d/3⌉) on the maximal complexity ...
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10/16/2020
Optimizing persistent homology based functions
Solving optimization tasks based on functions and losses with a topologi...
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12/20/2018
On Order Types of Random Point Sets
Let P be a set of n random points chosen uniformly in the unit square. I...
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11/12/2018