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Selecting a minimal feature set that is maximally informative about a target variable is a central task in machine learning and statistics. Information theory provides a powerful framework for formulating feature selection algorithms --…

Information Theory · Computer Science 2023-05-05 Patricia Wollstadt , Sebastian Schmitt , Michael Wibral

When training a predictive model over medical data, the goal is sometimes to gain insights about a certain disease. In such cases, it is common to use feature importance as a tool to highlight significant factors contributing to that…

Machine Learning · Computer Science 2020-10-16 Amnon Catav , Boyang Fu , Jason Ernst , Sriram Sankararaman , Ran Gilad-Bachrach

Variable selection in sparse regression models is an important task as applications ranging from biomedical research to econometrics have shown. Especially for higher dimensional regression problems, for which the link function between…

Machine Learning · Statistics 2019-12-10 Burim Ramosaj , Markus Pauly

In recent years, a large amount of model-agnostic methods to improve the transparency, trustability and interpretability of machine learning models have been developed. We introduce local feature importance as a local version of a recent…

Machine Learning · Statistics 2020-07-15 Giuseppe Casalicchio , Christoph Molnar , Bernd Bischl

Scientists frequently prioritize learning from data rather than training the best possible model; however, research in machine learning often prioritizes the latter. Marginal contribution feature importance (MCI) was developed to break this…

Machine Learning · Statistics 2024-11-12 Joseph Janssen , Vincent Guan , Elina Robeva

Accurate conditional prediction in the regression setting plays an important role in many real-world problems. Typically, a point prediction often falls short since no attempt is made to quantify the prediction accuracy. Classically, under…

Methodology · Statistics 2025-09-04 Kejin Wu , Dimitris N. Politis

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…

Machine Learning · Statistics 2019-10-15 Enguerrand Horel , Kay Giesecke

In many applications, it is of interest to assess the relative contribution of features (or subsets of features) toward the goal of predicting a response -- in other words, to gauge the variable importance of features. Most recent work on…

Methodology · Statistics 2025-10-23 Brian D. Williamson , Peter B. Gilbert , Noah R. Simon , Marco Carone

Testing for conditional independence is a core aspect of constraint-based causal discovery. Although commonly used tests are perfect in theory, they often fail to reject independence in practice, especially when conditioning on multiple…

Machine Learning · Statistics 2019-03-13 Alexander Marx , Jilles Vreeken

Conditional independence testing is a key problem required by many machine learning and statistics tools. In particular, it is one way of evaluating the usefulness of some features on a supervised prediction problem. We propose a novel…

Machine Learning · Statistics 2019-08-02 Marco Henrique de Almeida Inácio , Rafael Izbicki , Rafael Bassi Stern

Conditional selective inference (SI) has been actively studied as a new statistical inference framework for data-driven hypotheses. The basic idea of conditional SI is to make inferences conditional on the selection event characterized by a…

Machine Learning · Statistics 2021-04-23 Kazuya Sugiyama , Vo Nguyen Le Duy , Ichiro Takeuchi

Understanding the contribution of individual features in predictive models remains a central goal in interpretable machine learning, and while many model-agnostic methods exist to estimate feature importance, they often fall short in…

Machine Learning · Computer Science 2025-07-08 Ivan Lazic , Chiara Barà , Marta Iovino , Sebastiano Stramaglia , Niksa Jakovljevic , Luca Faes

We propose the Sobolev Independence Criterion (SIC), an interpretable dependency measure between a high dimensional random variable X and a response variable Y . SIC decomposes to the sum of feature importance scores and hence can be used…

Machine Learning · Computer Science 2019-11-01 Youssef Mroueh , Tom Sercu , Mattia Rigotti , Inkit Padhi , Cicero Dos Santos

Conditional independence testing (CIT) is a common task in machine learning, e.g., for variable selection, and a main component of constraint-based causal discovery. While most current CIT approaches assume that all variables are numerical…

Machine Learning · Computer Science 2023-11-07 Oana-Iuliana Popescu , Andreas Gerhardus , Jakob Runge

Inference on the conditional mean function (CMF) is central to tasks from adaptive experimentation to optimal treatment assignment and algorithmic fairness auditing. In this work, we provide a novel asymptotic anytime-valid test for a CMF…

Methodology · Statistics 2026-02-10 Brian M Cho , Raaz Dwivedi , Nathan Kallus

The identification of relevant features, i.e., the driving variables that determine a process or the properties of a system, is an essential part of the analysis of data sets with a large number of variables. A mathematical rigorous…

Machine Learning · Statistics 2022-08-02 Benjamin Regler , Matthias Scheffler , Luca M. Ghiringhelli

With the increasing flexibilization of processes, determining robust scheduling decisions has become an important goal. Traditionally, the flexibility index has been used to identify safe operating schedules by approximating the admissible…

Machine Learning · Computer Science 2026-03-04 Moritz Wedemeyer , Eike Cramer , Alexander Mitsos , Manuel Dahmen

A common problem in machine learning is determining if a variable significantly contributes to a model's prediction performance. This problem is aggravated for datasets, such as gene expression datasets, that suffer the worst case of…

Methodology · Statistics 2023-10-13 Yue Wu , Ted Spaide , Kenji Nakamichi , Russell Van Gelder , Aaron Lee

Reliable estimation of feature contributions in machine learning models is essential for trust, transparency and regulatory compliance, especially when models are proprietary or otherwise operate as black boxes. While permutation-based…

Machine Learning · Statistics 2025-12-24 Albert Dorador

Explainable artificial intelligence promises to yield insights into relevant features, thereby enabling humans to examine and scrutinize machine learning models or even facilitating scientific discovery. Considering the widespread technique…

Machine Learning · Computer Science 2026-03-30 Jörg Martin , Stefan Haufe