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We develop a simple and computationally efficient significance test for the features of a machine learning model. Our forward-selection approach applies to any model specification, learning task and variable type. The test is…

机器学习 · 统计学 2019-10-15 Enguerrand Horel , Kay Giesecke

Ensuring robust model performance in diverse real-world scenarios requires addressing generalizability across domains with covariate shifts. However, no formal procedure exists for statistically evaluating generalizability in machine…

机器学习 · 计算机科学 2025-06-13 Daniel de Vassimon Manela , Linying Yang , Robin J. Evans

Statistical evaluation aims to estimate the generalization performance of a model using held-out i.i.d.\ test data sampled from the ground-truth distribution. In supervised learning settings such as classification, performance metrics such…

机器学习 · 计算机科学 2026-04-08 Shashaank Aiyer , Yishay Mansour , Shay Moran , Han Shao

In the big data era, the need to reevaluate traditional statistical methods is paramount due to the challenges posed by vast datasets. While larger samples theoretically enhance accuracy and hypothesis testing power without increasing false…

统计方法学 · 统计学 2026-01-09 Xuekui Zhang , Li Xing , Jing Zhang , Soojeong Kim

The problem of detecting changes in covariance for a single pair of features has been studied in some detail, but may be limited in importance or general applicability. In contrast, testing equality of covariance matrices of a {\it set} of…

统计方法学 · 统计学 2017-12-12 Yi-Hui Zhou

Hypothesis testing of random forest (RF) variable importance measures (VIMP) remains the subject of ongoing research. Among recent developments, heuristic approaches to parametric testing have been proposed whose distributional assumptions…

统计方法学 · 统计学 2023-07-20 Alexander Hapfelmeier , Roman Hornung , Bernhard Haller

Generalizations to the permutation test are introduced to allow for situations in which the null model is not exchangeable. It is shown that the generalized permutation tests are exact, and a partial converse: that any test function that is…

统计方法学 · 统计学 2018-09-03 Jeffrey Roach , William Valdar

This work introduces a novel, simple, and flexible method to quantify irreversibility in generic high-dimensional time series based on the well-known mapping to a binary classification problem. Our approach utilizes gradient boosting for…

统计力学 · 物理学 2025-01-09 Michele Vodret , Cristiano Pacini , Christian Bongiorno

We present a general nonparametric approach for testing whether a statistical parameter defined through conditional distributions is constant across the conditioning variables. Such hypotheses arise naturally in problems such as assessing…

统计方法学 · 统计学 2026-04-23 Albert Osom , Ali Shojaie , Aaron Hudson

Hypothesis testing in the linear regression model is a fundamental statistical problem. We consider linear regression in the high-dimensional regime where the number of parameters exceeds the number of samples ($p> n$). In order to make…

统计理论 · 数学 2019-09-24 Adel Javanmard , Jason D. Lee

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

统计方法学 · 统计学 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani

In order to ensure the reliability of the explanations of machine learning models, it is crucial to establish their advantages and limits and in which case each of these methods outperform. However, the current understanding of when and how…

机器学习 · 计算机科学 2025-02-12 Célia Wafa Ayad , Thomas Bonnier , Benjamin Bosch , Sonali Parbhoo , Jesse Read

The quantification and inference of predictive importance for exposure covariates have recently gained significant attention in the context of interpretable machine learning. Contemporary scientific investigations often involve data…

统计方法学 · 统计学 2024-12-31 Zitao Wang , Nian Si , Zijian Guo , Molei Liu

Interpretability is becoming an active research topic as machine learning (ML) models are more widely used to make critical decisions. Tabular data is one of the most commonly used modes of data in diverse applications such as healthcare…

机器学习 · 统计学 2021-12-01 Amirata Ghorbani , Dina Berenbaum , Maor Ivgi , Yuval Dafna , James Zou

We revisit the classical problem of comparing regression functions, a fundamental question in statistical inference with broad relevance to modern applications such as data integration, transfer learning, and causal inference. Existing…

统计方法学 · 统计学 2025-10-29 Jian Yan , Zhuoxi Li , Yang Ning , Yong Chen

Multiple hypothesis testing is a significant problem in nearly all neuroimaging studies. In order to correct for this phenomena, we require a reliable estimate of the Family-Wise Error Rate (FWER). The well known Bonferroni correction…

统计计算 · 统计学 2015-02-17 Chris Hinrichs , Vamsi K Ithapu , Qinyuan Sun , Sterling C Johnson , Vikas Singh

Causal machine learning holds promise for estimating individual treatment effects from complex data. For successful real-world applications of machine learning methods, it is of paramount importance to obtain reliable insights into which…

机器学习 · 计算机科学 2026-05-22 Joseph Paillard , Angel Reyero Lobo , Vitaliy Kolodyazhniy , Bertrand Thirion , Denis A. Engemann

We investigate the data distribution valuation problem, which aims to quantify the values of data distributions from their samples. This is a recently proposed problem that is related to but different from classical data valuation and can…

机器学习 · 计算机科学 2026-04-08 Cuong N. Nguyen , Cuong V. Nguyen

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

统计方法学 · 统计学 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

Discriminative analysis in neuroimaging by means of deep/machine learning techniques is usually tested with validation techniques, whereas the associated statistical significance remains largely under-developed due to their computational…