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cs.LG2021★ 1 cited
Improving Metric Dimensionality Reduction with Distributed Topology
Alexander Wagner, Elchanan Solomon, Paul Bendich
We propose a novel approach to dimensionality reduction combining techniques of metric geometry and distributed persistent homology, in the form of a gradient-descent based method…
cs.LG2019
Embeddings of Persistence Diagrams into Hilbert Spaces
Peter Bubenik, Alexander Wagner
Since persistence diagrams do not admit an inner product structure, a map into a Hilbert space is needed in order to use kernel methods. It is natural to ask if such maps necessari…