
Computing the Multicover Bifiltration
Given a finite set A⊂ℝ^d, let Cov_r,k denote the set of all points withi...
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Fast Minimal Presentations of Bigraded Persistence Modules
Multiparameter persistent homology is a recent branch of topological da...
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Efficient Approximation of the Matching Distance for 2parameter persistence
The matching distance is a computationally tractable topological measure...
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TopologyPreserving Terrain Simplification
We give necessary and sufficient criteria for elementary operations in a...
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Metric Spaces with Expensive Distances
In algorithms for finite metric spaces, it is common to assume that the ...
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Exact computation of the matching distance on 2parameter persistence modules
The matching distance is a pseudometric on multiparameter persistence m...
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Improved Topological Approximations by Digitization
Čech complexes are useful simplicial complexes for computing and analyzi...
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Computing the interleaving distance is NPhard
We show that computing the interleaving distance between two multigrade...
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A Kernel for MultiParameter Persistent Homology
Topological data analysis and its main method, persistent homology, prov...
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Improved Approximate Rips Filtrations with Shifted Integer Lattices
Rips complexes are important structures for analyzing topological featur...
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Michael Kerber
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