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When studying the causal effect of $x$ on $y$, researchers may conduct regression and report a confidence interval for the slope coefficient $\beta_{x}$. This common confidence interval provides an assessment of uncertainty from sampling…

Methodology · Statistics 2019-08-26 Brian Knaeble , Braxton Osting , Mark Abramson

In this work, we construct a risk estimator for hard thresholding which can be used as a basis to solve the difficult task of automatically selecting the threshold. As hard thresholding is not even continuous, Stein's lemma cannot be used…

Statistics Theory · Mathematics 2013-01-25 Charles-Alban Deledalle , Gabriel Peyré , Jalal Fadili

In this paper we study covariance estimation with missing data. We consider missing data mechanisms that can be independent of the data, or have a time varying dependency. Additionally, observed variables may have arbitrary (non uniform)…

Statistics Theory · Mathematics 2021-06-17 Eduardo Pavez , Antonio Ortega

Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present a general framework of runtime…

Machine Learning · Computer Science 2025-07-08 Thomas A. Henzinger , Mahyar Karimi , Konstantin Kueffner , Kaushik Mallik

Nearly all statistical analyses that inform policy-making are based on imperfect data. As examples, the data may suffer from measurement errors, missing values, sample selection bias, or record linkage errors. Analysts have to decide how to…

Methodology · Statistics 2025-10-24 Adway S. Wadekar , Jerome P. Reiter

In various situations one is given only the predictions of multiple classifiers over a large unlabeled test data. This scenario raises the following questions: Without any labeled data and without any a-priori knowledge about the…

Machine Learning · Statistics 2014-10-31 Ariel Jaffe , Boaz Nadler , Yuval Kluger

Recent years have experienced increasing utilization of complex machine learning models across multiple sources of data to inform more generalizable decision-making. However, distribution shifts across data sources and privacy concerns…

Methodology · Statistics 2024-05-16 Yi Liu , Alexander W. Levis , Sharon-Lise Normand , Larry Han

Consider a high-dimensional linear regression problem, where the number of covariates is larger than the number of observations and the interest is in estimating the conditional variance of the response variable given the covariates. A…

Statistics Theory · Mathematics 2019-03-29 David Azriel

Nowadays, many decisions are made using predictive models built on historical data.Predictive models may systematically discriminate groups of people even if the computing process is fair and well-intentioned. Discrimination-aware data…

Computers and Society · Computer Science 2015-11-23 Indre Zliobaite

In regression analysis, associations between continuous predictors and the outcome are often assumed to be linear. However, modeling the associations as non-linear can improve model fit. Many flexible modeling techniques, like (fractional)…

Whereas confidence intervals are used to assess uncertainty due to unmeasured individuals, confounding intervals can be used to assess uncertainty due to unmeasured attributes. Previously, we have introduced a methodology for computing…

Methodology · Statistics 2025-08-13 Brian Knaeble , R Mitchell Hughes

Selective inference (post-selection inference) is a methodology that has attracted much attention in recent years in the fields of statistics and machine learning. Naive inference based on data that are also used for model selection tends…

Methodology · Statistics 2021-11-25 Yoshiyuki Ninomiya , Yuta Umezu , Ichiro Takeuchi

Missing values are unavoidable in many applications of machine learning and present challenges both during training and at test time. When variables are missing in recurring patterns, fitting separate pattern submodels have been proposed as…

Machine Learning · Computer Science 2023-11-27 Lena Stempfle , Ashkan Panahi , Fredrik D. Johansson

We present a method of constructing statistical intervals that obtain a natural middle ground between Bayesian and frequentist statistical intervals, previously unexplored in literature: To a p% Bayesian credible interval we should assign a…

Methodology · Statistics 2026-05-11 Tim Ritmeester

Many measurements at collider experiments study physics candidates that are a subset of a collision event. The presence of multiple such candidates in a given event can cause raw biases which are large compared to typical statistical…

High Energy Physics - Experiment · Physics 2019-08-22 Patrick Koppenburg

Prediction-powered inference is a framework for performing valid statistical inference when an experimental dataset is supplemented with predictions from a machine-learning system. The framework yields simple algorithms for computing…

Machine Learning · Statistics 2023-11-10 Anastasios N. Angelopoulos , Stephen Bates , Clara Fannjiang , Michael I. Jordan , Tijana Zrnic

Bayesian statistics emphasizes the importance of prior distributions, yet finding an appropriate one is practically challenging. When multiple sample results are taken regarding the frequency of the same event, these samples may be…

Methodology · Statistics 2024-11-27 Yu-Fu Shen

In the field of railway automation, one of the key challenges has been the development of effective computer vision systems due to the limited availability of high-quality, sequential data. Traditional datasets are restricted in scope,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Josh Hunter , John McDermid , Simon Burton , Poppy Fynes , Mia Dempster

Independence analysis is an indispensable step before regression analysis to find out essential factors that influence the objects. With many applications in machine Learning, medical Learning and a variety of disciplines, statistical…

Methodology · Statistics 2022-07-08 Wenliang Pan , Yujue Li , Jianwu Liu , Pei Dang , Weixiong Mai

We show that the mean-model parameter is always orthogonal to the error distribution in generalized linear models. Thus, the maximum likelihood estimator of the mean-model parameter will be asymptotically efficient regardless of whether the…

Methodology · Statistics 2020-10-08 Alan Huang , Paul J. Rathouz