302 citations · 663 across the 19 of their papers we have counts for
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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…
math.ST2019
Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation
Billy Fang, Adityanand Guntuboyina, Bodhisattva Sen
We consider the problem of nonparametric regression when the covariate is -dimensional, where . In this paper we introduce and study two nonparametric least squares es…