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In paired randomized experiments individuals in a given matched pair may differ on prognostically important covariates despite the best efforts of practitioners. We examine the use of regression adjustment as a way to correct for persistent…

Methodology · Statistics 2017-11-27 Colin B. Fogarty

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of distributions, given one \emph{single} sample from each distribution. We study mean estimation and linear…

Machine Learning · Computer Science 2020-07-08 Hui Yuan , Yingyu Liang

Empirical studies suggest that machine learning models trained with empirical risk minimization (ERM) often rely on attributes that may be spuriously correlated with the class labels. Such models typically lead to poor performance during…

Machine Learning · Computer Science 2023-03-02 Sheng Liu , Xu Zhang , Nitesh Sekhar , Yue Wu , Prateek Singhal , Carlos Fernandez-Granda

We introduce a new empirical Bayes approach for large-scale multiple linear regression. Our approach combines two key ideas: (i) the use of flexible "adaptive shrinkage" priors, which approximate the nonparametric family of scale mixture of…

Methodology · Statistics 2024-06-13 Youngseok Kim , Wei Wang , Peter Carbonetto , Matthew Stephens

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

Econometrics · Economics 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

Machine Learning · Statistics 2018-04-04 Abubakar Abid , James Zou

We study a regression problem where for some part of the data we observe both the label variable ($Y$) and the predictors (${\bf X}$), while for other part of the data only the predictors are given. Such a problem arises, for example, when…

Statistics Theory · Mathematics 2021-04-14 David Azriel , Lawrence D. Brown , Michael Sklar , Richard Berk , Andreas Buja , Linda Zhao

The RNA-sequencing (RNA-seq) is becoming increasingly popular for quantifying gene expression levels. Since the RNA-seq measurements are relative in nature, between-sample normalization of counts is an essential step in differential…

Methodology · Statistics 2016-10-14 Kefei Liu , Jieping Ye , Yang Yang , Li Shen , Hui Jiang

This paper studies a class of exponential family models whose canonical parameters are specified as linear functionals of an unknown infinite-dimensional slope function. The optimal minimax rates of convergence for slope function estimation…

Statistics Theory · Mathematics 2011-12-25 Winston Wei Dou , David Pollard , Harrison H. Zhou

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

Malware lineage studies the evolutionary relationships among malware and has important applications for malware analysis. A persistent limitation of prior malware lineage approaches is to consider every input sample a separate malware…

Cryptography and Security · Computer Science 2017-10-17 Irfan Ul Haq , Sergio Chica , Juan Caballero , Somesh Jha

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

Methodology · Statistics 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

We present a linear regression method for predictions on a small data set making use of a second possibly biased data set that may be much larger. Our method fits linear regressions to the two data sets while penalizing the difference…

Methodology · Statistics 2014-12-19 Aiyou Chen , Art B. Owen , Minghui Shi

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

Machine Learning · Computer Science 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

Methodology · Statistics 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

Machine Learning · Computer Science 2013-01-30 Katy S. Azoury , Manfred K. Warmuth

A randomized trial and an analysis of observational data designed to emulate the trial sample observations separately, but have the same eligibility criteria, collect information on some shared baseline covariates, and compare the effects…

Methodology · Statistics 2022-03-29 Issa J. Dahabreh , Jon A. Steingrimsson , James M. Robins , Miguel A. Hernán

Rank-order relational data, in which each actor ranks the others according to some criterion, often arise from sociometric measurements of judgment (e.g., self-reported interpersonal interaction) or preference (e.g., relative liking). We…

Methodology · Statistics 2018-04-11 Pavel N. Krivitsky , Carter T. Butts

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

Methodology · Statistics 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

Methodology · Statistics 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta