10 citations · 13 across the 5 of their papers we have counts for
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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…
math.AT2021
From Geometry to Topology: Inverse Theorems for Distributed Persistence
Elchanan Solomon, Alexander Wagner, Paul Bendich
What is the "right" topological invariant of a large point cloud X? Prior research has focused on estimating the full persistence diagram of X, a quantity that is very expensive to…