35 citations · 64 across the 3 of their papers we have counts for
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math.ST2021★ 28 cited
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
Nabarun Deb, Promit Ghosal, Bodhisattva Sen
Optimal transport maps between two probability distributions and on have found extensive applications in both machine learning and statistics. In practice, t…
math.ST2020
Measuring Association on Topological Spaces Using Kernels and Geometric Graphs
Nabarun Deb, Promit Ghosal, Bodhisattva Sen
In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of association between two random variables and taking values in general top…
math.ST2019★ 35 cited
Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation
Nabarun Deb, Bodhisattva Sen
In this paper, we propose a general framework for distribution-free nonparametric testing in multi-dimensions, based on a notion of multivariate ranks defined using the theory of m…