4 citations · 7 across the 4 of their papers we have counts for
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math.AT2020
The (homological) persistence of gerrymandering
Moon Duchin, Tom Needham, Thomas Weighill
We apply persistent homology, the dominant tool from the field of topological data analysis, to study electoral redistricting. Our method combines the geographic information from a…
cs.LG2020
Generalized Spectral Clustering via Gromov-Wasserstein Learning
Samir Chowdhury, Tom Needham
We establish a bridge between spectral clustering and Gromov-Wasserstein Learning (GWL), a recent optimal transport-based approach to graph partitioning. This connection both expla…
cs.CG2020★ 4 cited
The Weighted Euler Curve Transform for Shape and Image Analysis
Qitong Jiang, Sebastian Kurtek, Tom Needham
The Euler Curve Transform (ECT) of Turner et al.\ is a complete invariant of an embedded simplicial complex, which is amenable to statistical analysis. We generalize the ECT to pro…