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Decoding, ie prediction from brain images or signals, calls for empirical evaluation of its predictive power. Such evaluation is achieved via cross-validation, a method also used to tune decoders' hyper-parameters. This paper is a review on…

The adaptive lasso refers to a class of methods that use weighted versions of the $L_1$-norm penalty, with weights derived from an initial estimate of the parameter vector to be estimated. Irrespective of the method chosen to compute this…

Methodology · Statistics 2021-07-16 Ballout Nadim , Etievant Lola , Viallon Vivian

It is crucial to assess the predictive performance of a model to establish its practicality and relevance in real-world scenarios, particularly for high-dimensional data analysis. Among data splitting or resampling methods, cross-validation…

Methodology · Statistics 2025-11-26 Iris Ivy Gauran , Hernando Ombao , Zhaoxia Yu

High-dimensional prediction with multiple data types needs to account for potentially strong differences in predictive signal. Ridge regression is a simple model for high-dimensional data that has challenged the predictive performance of…

Methodology · Statistics 2021-04-02 Mark A. van de Wiel , Mirrelijn M. van Nee , Armin Rauschenberger

Model regularization requires extensive manual tuning to balance complexity against overfitting. Cross-regularization resolves this tradeoff by directly adapting regularization parameters through validation gradients during training. The…

Machine Learning · Computer Science 2025-06-25 Carlos Stein Brito

We present an efficient method to estimate cross-validation bandwidth parameters for kernel density estimation in very large datasets where ordinary cross-validation is rendered highly inefficient, both statistically and computationally.…

Methodology · Statistics 2016-09-02 Anirban Bhattacharya , Jeffrey D. Hart

The popularity of penalized regression in high-dimensional data analysis has led to a demand for new inferential tools for these models. False discovery rate control is widely used in high-dimensional hypothesis testing, but has only…

Methodology · Statistics 2019-01-24 Ryan Miller , Patrick Breheny

In observational studies with survival or time-to-event outcomes, a propensity score weighted marginal Cox proportional hazard model with the treatment variable as the only predictor is commonly used to estimate the causal marginal hazard…

Methodology · Statistics 2026-02-02 Zixian Zhao , Chengxin Yang , Fan Li

We develop tools to do valid post-selective inference for a family of model selection procedures, including choosing a model via cross-validated Lasso. The tools apply universally when the following random vectors are jointly asymptotically…

Methodology · Statistics 2018-02-13 Jelena Markovic , Lucy Xia , Jonathan Taylor

This paper describes a method for performing inference on models chosen by cross-validation. When the test error being minimized in cross-validation is a residual sum of squares it can be written as a quadratic form. This allows us to apply…

Methodology · Statistics 2015-12-01 Joshua R. Loftus

With the growing application of spatial predictive modeling in ecology, the question of how to appropriately evaluate the resulting maps has gained increasing attention. While there is consensus that map accuracy is ideally estimated using…

Methodology · Statistics 2026-05-14 Jan Linnenbrink , Jakub Nowosad , Hanna Meyer

We study estimator selection and hyper-parameter tuning in off-policy evaluation. Although cross-validation is the most popular method for model selection in supervised learning, off-policy evaluation relies mostly on theory, which provides…

Machine Learning · Computer Science 2024-12-23 Matej Cief , Branislav Kveton , Michal Kompan

In this paper, we propose a model averaging approach for addressing model uncertainty in the context of partial linear functional additive models. These models are designed to describe the relation between a response and mixed-types of…

Methodology · Statistics 2023-06-12 Shishi Liu , Jingxiao Zhang

There is increasing interest in the use of diagnostic rules based on microarray data. These rules are formed by considering the expression levels of thousands of genes in tissue samples taken on patients of known classification with respect…

Statistics Theory · Mathematics 2008-12-18 G. J. McLachlan , J. Chevelu , J. Zhu

Much theoretical and applied work has been devoted to high-dimensional regression with clean data. However, we often face corrupted data in many applications where missing data and measurement errors cannot be ignored. Loh and Wainwright…

Statistics Theory · Mathematics 2016-01-05 Abhirup Datta , Hui Zou

Lung cancer remains one of the leading causes of cancer-related mortality, yet most survival models rely only on baseline factors and overlook posttreatment variables that reflect disease progression. To address this gap, we applied Cox…

Applications · Statistics 2025-10-03 Varun Vishwanathan Nair , Victor Miranda Soberanis

Cross-validation (CV) is a popular approach for assessing and selecting predictive models. However, when the number of folds is large, CV suffers from a need to repeatedly refit a learning procedure on a large number of training datasets.…

Machine Learning · Statistics 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey

The covariance matrix plays a fundamental role in many modern exploratory and inferential statistical procedures, including dimensionality reduction, hypothesis testing, and regression. In low-dimensional regimes, where the number of…

Methodology · Statistics 2024-11-12 Philippe Boileau , Nima S. Hejazi , Mark J. van der Laan , Sandrine Dudoit

Cross-validation (CV) is a technique for evaluating the ability of statistical models/learning systems based on a given data set. Despite its wide applicability, the rather heavy computational cost can prevent its use as the system size…

Machine Learning · Statistics 2016-10-26 Yoshiyuki Kabashima , Tomoyuki Obuchi , Makoto Uemura

In a regression model, prediction is typically performed after model selection. The large variability in the model selection makes the prediction unstable. Thus, it is essential to reduce the variability in model selection and improve…

Computation · Statistics 2024-04-11 Wataru Yoshida , Kei Hirose
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