4 citations · 4 across the 1 of their papers we have counts for
3 papers
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…
math.ST2018
From Gauss to Kolmogorov: Localized Measures of Complexity for Ellipses
Yuting Wei, Billy Fang, Martin J. Wainwright
The Gaussian width is a fundamental quantity in probability, statistics and geometry, known to underlie the intrinsic difficulty of estimation and hypothesis testing. In this work,…
math.ST2017★ 4 cited
On the risk of convex-constrained least squares estimators under misspecification
Billy Fang, Adityanand Guntuboyina
We consider the problem of estimating the mean of a noisy vector. When the mean lies in a convex constraint set, the least squares projection of the random vector onto the set is a…