1 citations · 2 across the 6 of their papers we have counts for
6 papers
Kan Approximations of the Persistent Homology Transform
Shreya Arya, Justin Curry
The persistent homology transform (PHT) of a subset is a map from the unit sphere to the space of persist…
Decomposing the Persistent Homology Transform of Star-Shaped Objects
Shreya Arya, Barbara Giunti, Abigail Hickok +3
In this paper, we study the geometric decomposition of the degree- Persistent Homology Transform (PHT) as viewed as a persistence diagram bundle. We focus on star-shaped objects…
The Gromov-Wasserstein distance between spheres
Shreya Arya, Arnab Auddy, Ranthony Edmonds +3
In this paper we consider a two-parameter family {dGWp,q}p,q of Gromov- Wasserstein distances between metric measure spaces. By exploiting a suitable interaction between specific v…
A Sheaf-Theoretic Construction of Shape Space
Shreya Arya, Justin Curry, Sayan Mukherjee
We present a sheaf-theoretic construction of shape space -- the space of all shapes. We do this by describing a homotopy sheaf on the poset category of constructible sets, where ea…
Dimensionality Reduction for -Distance Applied to Persistent Homology
Shreya Arya, Jean-Daniel Boissonnat, Kunal Dutta +1
Given a set P of n points and a constant k, we are interested in computing the persistent homology of the Cech filtration of P for the k-distance, and investigate the effectiveness…
Variable Chaplygin Gas: Constraints from Supernovae, BAO, Look Back Time, and GRBs
Bhuvan Aggarwal, Geetanjali Sethi, Shruti Thakur
We examine the variable Chaplygin gas (VCG) model with the aim of establishing tight constraints by using type-Ia supernovae, lookback time measurements, Baryon Acoustic Oscillatio…