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This work develops central limit theorems for cross-validation and consistent estimators of its asymptotic variance under weak stability conditions on the learning algorithm. Together, these results provide practical, asymptotically-exact…

Machine Learning · Statistics 2020-11-03 Pierre Bayle , Alexandre Bayle , Lucas Janson , Lester Mackey

In many applications, we have access to the complete dataset but are only interested in the prediction of a particular region of predictor variables. A standard approach is to find the globally best modeling method from a set of candidate…

Machine Learning · Statistics 2022-02-21 Jiawei Zhang , Jie Ding , Yuhong Yang

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

Methodology · Statistics 2008-02-08 M. J. Bayarri , M. E. Castellanos

When providing probabilistic forecasts for uncertain future events, it is common to strive for calibrated forecasts, that is, the predictive distribution should be compatible with the observed outcomes. Several notions of calibration are…

Methodology · Statistics 2015-05-21 Christof Strähl , Johanna F. Ziegel

Model averaging is a useful and robust method for dealing with model uncertainty in statistical analysis. Often, it is useful to consider data subset selection at the same time, in which model selection criteria are used to compare models…

Methodology · Statistics 2023-10-26 Ethan T. Neil , Jacob W. Sitison

Cross-study replicability is a powerful model evaluation criterion that emphasizes generalizability of predictions. When training cross-study replicable prediction models, it is critical to decide between merging and treating the studies…

Machine Learning · Statistics 2022-07-14 Cathy Shyr , Pragya Sur , Giovanni Parmigiani , Prasad Patil

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

Machine Learning · Computer Science 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

Many modern data analyses benefit from explicitly modeling dependence structure in data -- such as measurements across time or space, ordered words in a sentence, or genes in a genome. A gold standard evaluation technique is structured…

Machine Learning · Statistics 2020-12-02 Soumya Ghosh , William T. Stephenson , Tin D. Nguyen , Sameer K. Deshpande , Tamara Broderick

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

Methodology · Statistics 2024-08-08 Yann McLatchie , Aki Vehtari

Mixed-effect models are widely used for the analysis of correlated data such as longitudinal data and repeated measures. In this article, we study an approach to the nonparametric estimation of mixed-effect models. We consider models with…

Statistics Theory · Mathematics 2007-06-13 Chong Gu , Ping Ma

Standard selection criteria for forecasting models focus on information that is calculated for each series independently, disregarding the general tendencies and performances of the candidate models. In this paper, we propose a new way to…

Methodology · Statistics 2021-04-21 Fotios Petropoulos , Evangelos Spiliotis , Anastasios Panagiotelis

Statistical inference after model selection requires an inference framework that takes the selection into account in order to be valid. Following recent work on selective inference, we derive analytical expressions for inference after…

Methodology · Statistics 2017-09-26 David Rügamer , Sonja Greven

Model checking procedures are considered based on the use of the Dirichlet process and relative belief. This combination is seen to lead to some unique advantages for this problem. In particular, it avoids double use of the data and…

Methodology · Statistics 2016-06-28 Luai Al-Labadi , Michael Evans

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

Applications · Statistics 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

Accurately detecting multiple change-points is critical for various applications, but determining the optimal number of change-points remains a challenge. Existing approaches based on information criteria attempt to balance goodness-of-fit…

Methodology · Statistics 2023-12-19 Hui Chen , Yinxu Jia , Guanghui Wang , Changliang Zou

Data visualizations typically show retrospective views of an existing dataset with little or no focus on repeatability. However, consumers of these tools often use insights gleaned from retrospective visualizations as the basis for…

Human-Computer Interaction · Computer Science 2019-11-13 David Gotz , Brandon A. Price , Annie T. Chen

When building statistical models for Bayesian data analysis tasks, required and optional iterative adjustments and different modelling choices can give rise to numerous candidate models. In particular, checks and evaluations throughout the…

Methodology · Statistics 2024-04-03 Anna Elisabeth Riha , Nikolas Siccha , Antti Oulasvirta , Aki Vehtari

Target trial emulation has improved comparative effectiveness research by making the causal question, assumptions, and analysis plan explicit. However, target trial protocols are usually developed iteratively. After examining the data,…

Methodology · Statistics 2026-04-30 Mats Julius Stensrud

This study examines generalized cross-validation for the tuning parameter selection for ridge regression in high-dimensional misspecified linear models. The set of candidates for the tuning parameter includes not only positive values but…

Statistics Theory · Mathematics 2026-01-21 Akira Shinkyu

It is well known that model selection via cross validation can be biased for time series models. However, many researchers have argued that this bias does not apply when using cross-validation with vector autoregressions (VAR) or with time…

Methodology · Statistics 2025-12-08 Amaze Lusompa