15 citations · 53 across the 7 of their papers we have counts for
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math.AT2019★ 15 cited
Path homologies of deep feedforward networks
Samir Chowdhury, Thomas Gebhart, Steve Huntsman +1
We provide a characterization of two types of directed homology for fully-connected, feedforward neural network architectures. These exact characterizations of the directed homolog…
math.MG2019
Gromov-Wasserstein Averaging in a Riemannian Framework
Samir Chowdhury, Tom Needham
We introduce a theoretical framework for performing statistical tasks---including, but not limited to, averaging and principal component analysis---on the space of (possibly asymme…
math.MG2019★ 1 cited
Geodesics in persistence diagram space
Samir Chowdhury
It is known that for a variety of choices of metrics, including the standard bottleneck distance, the space of persistence diagrams admits geodesics. Typically these existence resu…