141 citations · 297 across the 30 of their papers we have counts for
6 papers · 2 filters
On the nonparametric maximum likelihood estimator for Gaussian location mixture densities with application to Gaussian denoising
Sujayam Saha, Adityanand Guntuboyina
We study the Nonparametric Maximum Likelihood Estimator (NPMLE) for estimating Gaussian location mixture densities in -dimensions from independent observations. Unlike usual lik…
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…
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…
The geometry of hypothesis testing over convex cones: Generalized likelihood tests and minimax radii
Yuting Wei, Martin J. Wainwright, Adityanand Guntuboyina
We consider a compound testing problem within the Gaussian sequence model in which the null and alternative are specified by a pair of closed, convex cones. Such cone testing probl…
A note on the approximate admissibility of regularized estimators in the Gaussian sequence model
Xi Chen, Adityanand Guntuboyina, Yuchen Zhang
We study the problem of estimating an unknown vector from an observation drawn according to the normal distribution with mean and identity covariance matrix under the k…
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…