11 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
MARS via LASSO
Dohyeong Ki, Billy Fang, Adityanand Guntuboyina
Multivariate adaptive regression splines (MARS) is a popular method for nonparametric regression introduced by Friedman in 1991. MARS fits simple nonlinear and non-additive functio…
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…
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,…
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…