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01/18/2022
On the minimax rate of the Gaussian sequence model under bounded convex constraints
We determine the exact minimax rate of a Gaussian sequence model under b...
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12/22/2021
Local permutation tests for conditional independence
In this paper, we investigate local permutation tests for testing condit...
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08/17/2021
Non-Asymptotic Bounds for the ℓ_∞ Estimator in Linear Regression with Uniform Noise
The Chebyshev or ℓ_∞ estimator is an unconventional alternative to the o...
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04/08/2021
A New Perspective on Debiasing Linear Regressions
In this paper, we propose an abstract procedure for debiasing constraine...
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03/12/2021
Minimax Optimal Conditional Density Estimation under Total Variation Smoothness
This paper studies the minimax rate of nonparametric conditional density...
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05/15/2020
Non-Sparse PCA in High Dimensions via Cone Projected Power Iteration
In this paper, we propose a cone projected power iteration algorithm to ...
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03/26/2020
Prior Adaptive Semi-supervised Learning with Application to EHR Phenotyping
Electronic Health Records (EHR) data, a rich source for biomedical resea...
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01/09/2020
Minimax Optimal Conditional Independence Testing
We consider the problem of conditional independence testing of X and Y g...
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09/21/2018
High Temperature Structure Detection in Ferromagnets
This paper studies structure detection problems in high temperature ferr...
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12/18/2017
Misspecified Nonconvex Statistical Optimization for Phase Retrieval
Existing nonconvex statistical optimization theory and methods crucially...
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09/20/2017
Property Testing in High Dimensional Ising models
This paper explores the information-theoretic limitations of graph prope...
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07/28/2017
Adaptive Inferential Method for Monotone Graph Invariants
We consider the problem of undirected graphical model inference. In many...
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01/18/2017
Surrogate Aided Unsupervised Recovery of Sparse Signals in Single Index Models for Binary Outcomes
We consider the recovery of regression coefficients, denoted by β_0, for...
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08/10/2016
Combinatorial Inference for Graphical Models
We propose a new family of combinatorial inference problems for graphica...
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11/25/2015
L1-Regularized Least Squares for Support Recovery of High Dimensional Single Index Models with Gaussian Designs
It is known that for a certain class of single index models (SIMs) Y = f...
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11/07/2015
Signed Support Recovery for Single Index Models in High-Dimensions
In this paper we study the support recovery problem for single index mod...
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10/30/2015
