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Background: True cognitive longitudinal decline can be obscured by repeated testing, which is called practice effects (PEs). We developed a modeling framework that aligns participants by baseline and estimates visit-specific PEs…

Methodology · Statistics 2025-11-27 Y. Xu , T. Wu , A. Van Dyne , E. Lee , L. Eyler , X. Tu

When examining a contrast between two interventions, longitudinal causal inference studies frequently encounter positivity violations when one or both regimes are impossible to observe for some subjects. Existing weighting methods either…

Methodology · Statistics 2025-08-11 Alec McClean , Iván Díaz

We provide an information-theoretic analysis of the generalization ability of Gibbs-based transfer learning algorithms by focusing on two popular transfer learning approaches, $\alpha$-weighted-ERM and two-stage-ERM. Our key result is an…

Machine Learning · Computer Science 2021-11-03 Yuheng Bu , Gholamali Aminian , Laura Toni , Miguel Rodrigues , Gregory Wornell

We investigate the problem of estimating the average treatment effect (ATE) under a very general setup where the covariates can be high-dimensional, highly correlated, and can have sparse nonlinear effects on the propensity and outcome…

Machine Learning · Statistics 2025-08-26 Jianqing Fan , Soham Jana , Sanjeev Kulkarni , Qishuo Yin

This chapter demystifies P-values, hypothesis tests and significance tests, and introduces the concepts of local evidence and global error rates. The local evidence is embodied in \textit{this} data and concerns the hypotheses of interest…

Other Statistics · Statistics 2019-10-07 Michael J. Lew

Causal inference is a critical research area with multi-disciplinary origins and applications, ranging from statistics, computer science, economics, psychology to public health. In many scientific research, randomized experiments provide a…

Methodology · Statistics 2022-07-26 Jingying Zeng

Machine learning models can automatically learn complex relationships, such as non-linear and interaction effects. Interpretable machine learning methods such as partial dependence plots visualize marginal feature effects but may lead to…

Machine Learning · Statistics 2022-02-16 Julia Herbinger , Bernd Bischl , Giuseppe Casalicchio

Extraneous variables are variables that are irrelevant for a certain task, but heavily affect the distribution of the available data. In this work, we show that the presence of such variables can degrade the performance of deep-learning…

Machine Learning · Computer Science 2020-02-27 Aakash Kaku , Sreyas Mohan , Avinash Parnandi , Heidi Schambra , Carlos Fernandez-Granda

We explore how violations of the often-overlooked standard assumption that the random effects model matrix in a linear mixed model is fixed (and thus independent of the random effects vector) can lead to bias in estimators of estimable…

Statistics Theory · Mathematics 2020-06-23 Andrew T. Karl , Dale L. Zimmerman

Evaluating the performance of an algorithm is crucial. Evaluating the performance of data imputation and data augmentation can be similar since both generated data can be compared with an original distribution. Although, the typical…

Machine Learning · Computer Science 2022-06-22 Jean-Sébastien Dessureault , Daniel Massicotte

Reliability of machine learning evaluation -- the consistency of observed evaluation scores across replicated model training runs -- is affected by several sources of nondeterminism which can be regarded as measurement noise. Current…

Machine Learning · Computer Science 2023-10-10 Michael Hagmann , Philipp Meier , Stefan Riezler

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

Econometrics · Economics 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

In the era of Model-as-a-Service, organizations increasingly rely on third-party AI models for rapid deployment. However, the dynamic nature of emerging AI applications, the continual introduction of new datasets, and the growing number of…

Machine Learning · Computer Science 2026-02-10 Zihan Zhu , Yanqiu Wu , Qiongkai Xu

Global variance-based reliability sensitivity indices arise from a variance decomposition of the indicator function describing the failure event. The first-order indices reflect the main effect of each variable on the variance of the…

Methodology · Statistics 2024-03-20 Iason Papaioannou , Daniel Straub

When machine learning supports decision-making in safety-critical systems, it is important to verify and understand the reasons why a particular output is produced. Although feature importance calculation approaches assist in…

Machine Learning · Statistics 2020-09-14 Divish Rengasamy , Benjamin Rothwell , Grazziela Figueredo

We consider estimation under model misspecification where there is a model mismatch between the underlying system, which generates the data, and the model used during estimation. We propose a model misspecification framework which enables a…

Signal Processing · Electrical Eng. & Systems 2023-02-22 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

The nested error regression model is a useful tool for analyzing clustered (grouped) data, and is especially used in small area estimation. The classical nested error regression model assumes normality of random effects and error terms, and…

Methodology · Statistics 2016-05-16 Shonosuke Sugasawa , Tatsuya Kubokawa

Cross-validation is frequently used for model selection in a variety of applications. However, it is difficult to apply cross-validation to mixed effects models (including nonlinear mixed effects models or NLME models) due to the fact that…

Methodology · Statistics 2013-05-24 Emily Colby , Eric Bair

Direct effect analyses usually require deciding whether a focal variable is a pre-exposure confounder or a post-exposure mediator. In observational studies, that distinction may be unclear because timing is measured coarsely or the variable…

Methodology · Statistics 2026-04-13 AmirEmad Ghassami

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

Methodology · Statistics 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani
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