15 citations · 24 across the 9 of their papers we have counts for
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math.AT2019
A Framework for Differential Calculus on Persistence Barcodes
Jacob Leygonie, Steve Oudot, Ulrike Tillmann
We define notions of differentiability for maps from and to the space of persistence barcodes. Inspired by the theory of diffeological spaces, the proposed framework uses lifts to…
cs.LG2019★ 15 cited
Adversarial Computation of Optimal Transport Maps
Jacob Leygonie, Jennifer She, Amjad Almahairi +2
Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) ar…