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06/14/2021
Improving Metric Dimensionality Reduction with Distributed Topology
We propose a novel approach to dimensionality reduction combining techni...
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01/28/2021
From Geometry to Topology: Inverse Theorems for Distributed Persistence
What is the "right" topological invariant of a large point cloud X? Prio...
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09/17/2020
A Fast and Robust Method for Global Topological Functional Optimization
Topological statistics, in the form of persistence diagrams, are a class...
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10/30/2019
Nonembeddability of Persistence Diagrams with p>2 Wasserstein Metric
Persistence diagrams do not admit an inner product structure compatible ...
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05/11/2019