302 citations · 1.2k across the 59 of their papers we have counts for
3 papers · 2 filters
Nonparametric Shape-restricted Regression
Adityanand Guntuboyina, Bodhisattva Sen
We consider the problem of nonparametric regression under shape constraints. The main examples include isotonic regression (with respect to any partial order), unimodal/convex regr…
Semiparametric Efficiency in Convexity Constrained Single Index Model
Arun K. Kuchibhotla, Rohit K. Patra, Bodhisattva Sen
We consider estimation and inference in a single index regression model with an unknown convex link function. We introduce a convex and Lipschitz constrained least squares estimato…
Adaptive Risk Bounds in Univariate Total Variation Denoising and Trend Filtering
Adityanand Guntuboyina, Donovan Lieu, Sabyasachi Chatterjee +1
We study trend filtering, a relatively recent method for univariate nonparametric regression. For a given positive integer , the -th order trend filtering estimator is define…