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11/23/2021
MARS via LASSO
MARS is a popular method for nonparametric regression introduced by Frie...
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09/08/2021
Multivariate, Heteroscedastic Empirical Bayes via Nonparametric Maximum Likelihood
Multivariate, heteroscedastic errors complicate statistical inference in...
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08/22/2021
A Nonparametric Maximum Likelihood Approach to Mixture of Regression
Mixture of regression models are useful for regression analysis in heter...
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12/01/2020
Minimax bounds for estimating multivariate Gaussian location mixtures
We prove minimax bounds for estimating Gaussian location mixtures on ℝ^d...
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07/30/2020
Covariance estimation with nonnegative partial correlations
We study the problem of high-dimensional covariance estimation under the...
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06/07/2020
On Suboptimality of Least Squares with Application to Estimation of Convex Bodies
We develop a technique for establishing lower bounds on the sample compl...
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06/03/2020
Convex Regression in Multidimensions: Suboptimality of Least Squares Estimators
The least squares estimator (LSE) is shown to be suboptimal in squared e...
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06/21/2019
Max-Affine Regression: Provable, Tractable, and Near-Optimal Statistical Estimation
Max-affine regression refers to a model where the unknown regression fun...
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03/04/2019
Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation
We consider the problem of nonparametric regression when the covariate i...
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12/30/2018
Adaptation in multivariate log-concave density estimation
We study the adaptation properties of the multivariate log-concave maxim...
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12/11/2018
Distribution-free properties of isotonic regression
It is well known that the isotonic least squares estimator is characteri...
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10/18/2018
Two-component Mixture Model in the Presence of Covariates
In this paper we study a generalization of the two-groups model in the p...
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12/06/2017
On the nonparametric maximum likelihood estimator for Gaussian location mixture densities with application to Gaussian denoising
We study the Nonparametric Maximum Likelihood Estimator (NPMLE) for esti...
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09/17/2017
Nonparametric Shape-restricted Regression
We consider the problem of nonparametric regression under shape constrai...
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10/19/2015
Stochastically Transitive Models for Pairwise Comparisons: Statistical and Computational Issues
There are various parametric models for analyzing pairwise comparison da...
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02/02/2013
Sharp Inequalities for f-divergences
f-divergences are a general class of divergences between probability mea...
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03/31/2012