4 citations · 7 across the 4 of their papers we have counts for
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cs.CG2021
Geometric averages of partitioned datasets
Tom Needham, Thomas Weighill
We introduce a method for jointly registering ensembles of partitioned datasets in a way which is both geometrically coherent and partition-aware. Once such a registration has been…
cs.LG2021
Quantized Gromov-Wasserstein
Samir Chowdhury, David Miller, Tom Needham
The Gromov-Wasserstein (GW) framework adapts ideas from optimal transport to allow for the comparison of probability distributions defined on different metric spaces. Scalable comp…
math.AT2021
Decorated Merge Trees for Persistent Topology
Justin Curry, Haibin Hang, Washington Mio +2
This paper introduces decorated merge trees (DMTs) as a novel invariant for persistent spaces. DMTs combine both and information into a single data structure that disti…