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It is common practice in statistical data analysis to perform data-driven variable selection and derive statistical inference from the resulting model. Such inference enjoys none of the guarantees that classical statistical theory provides…

Statistics Theory · Mathematics 2013-06-06 Richard Berk , Lawrence Brown , Andreas Buja , Kai Zhang , Linda Zhao

Recent advances in generative models facilitate the creation of synthetic data to be made available for research in privacy-sensitive contexts. However, the analysis of synthetic data raises a unique set of methodological challenges. In…

A common approach to synthetic data is to sample from a fitted model. We show that under general assumptions, this approach results in a sample with inefficient estimators and whose joint distribution is inconsistent with the true…

Statistics Theory · Mathematics 2026-02-18 Jordan Awan , Zhanrui Cai

Traditional statistical inference considers relatively small data sets and the corresponding theoretical analysis focuses on the asymptotic behavior of a statistical estimator when the number of samples approaches infinity. However, many…

Methodology · Statistics 2013-01-03 Jon Wellner , Tong Zhang

Informatics and technological advancements have triggered generation of huge volume of data with varied complexity in its management and analysis. Big Data analytics is the practice of revealing hidden aspects of such data and making…

Databases · Computer Science 2018-03-30 Bikram Karmakar , Indranil Mukhopadhyay

Interval analysis, when applied to the so called problem of experimental data fitting, appears to be still in its infancy. Sometimes, partly because of the unrivaled reliability of interval methods, we do not obtain any results at all.…

Data Analysis, Statistics and Probability · Physics 2009-03-03 Marek W. Gutowski

As artificial intelligence and machine learning tools become more accessible, and scientists face new obstacles to data collection (e.g. rising costs, declining survey response rates), researchers increasingly use predictions from…

Methodology · Statistics 2024-02-06 Kentaro Hoffman , Stephen Salerno , Awan Afiaz , Jeffrey T. Leek , Tyler H. McCormick

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

Quantifying the uncertainty of predictions is a core problem in modern statistics. Methods for predictive inference have been developed under a variety of assumptions, often -- for instance, in standard conformal prediction -- relying on…

Methodology · Statistics 2024-09-13 Edgar Dobriban , Mengxin Yu

We give a new proof of the "transfer theorem" underlying adaptive data analysis: that any mechanism for answering adaptively chosen statistical queries that is differentially private and sample-accurate is also accurate out-of-sample. Our…

Machine Learning · Computer Science 2024-06-05 Christopher Jung , Katrina Ligett , Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi , Moshe Shenfeld

Current statistical inference problems in areas like astronomy, genomics, and marketing routinely involve the simultaneous testing of thousands -- even millions -- of null hypotheses. For high-dimensional multivariate distributions, these…

Methodology · Statistics 2017-04-25 Weixin Cai , Nima S. Hejazi , Alan E. Hubbard

Statistical inference in high dimensional settings has recently attracted enormous attention within the literature. However, most published work focuses on the parametric linear regression problem. This paper considers an important…

Methodology · Statistics 2019-11-14 Qi Gao , Randy C. S. Lai , Thomas C. M. Lee , Yao Li

The problem of handling adaptivity in data analysis, intentional or not, permeates a variety of fields, including test-set overfitting in ML challenges and the accumulation of invalid scientific discoveries. We propose a mechanism for…

Machine Learning · Computer Science 2019-04-03 Blake Woodworth , Vitaly Feldman , Saharon Rosset , Nathan Srebro

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

Machine Learning · Computer Science 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

Inspired by the concept of active learning, we propose active inference$\unicode{x2013}$a methodology for statistical inference with machine-learning-assisted data collection. Assuming a budget on the number of labels that can be collected,…

Machine Learning · Statistics 2026-04-09 Tijana Zrnic , Emmanuel J. Candès

Conformal inference is a fundamental and versatile tool that provides distribution-free guarantees for many machine learning tasks. We consider the transductive setting, where decisions are made on a test sample of $m$ new points, giving…

Methodology · Statistics 2024-03-20 Ulysse Gazin , Gilles Blanchard , Etienne Roquain

Statistical pragmatism embraces all efficient methods in statistical inference. Augmentation of the collected data is used herein to obtain representative population information from a large class of non-representative population's units.…

Statistics Theory · Mathematics 2015-12-04 Yannis G. Yatracos

Contextual bandit algorithms have transformed modern experimentation by enabling real-time adaptation for personalized treatment and efficient use of data. Yet these advantages create challenges for statistical inference due to adaptivity.…

Statistics Theory · Mathematics 2025-09-23 Yongyi Guo , Ziping Xu

When data are collected adaptively, such as in bandit algorithms, classical statistical approaches such as ordinary least squares and $M$-estimation will often fail to achieve asymptotic normality. Although recent lines of work have…

Methodology · Statistics 2026-02-10 James Leiner , Robin Dunn , Aaditya Ramdas

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung