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Feature importance measures are widely studied and are essential for understanding model behavior, guiding feature selection, and enhancing interpretability. However, many machine learning fitted models involve complex interactions between…

Machine Learning · Statistics 2025-05-26 Camille Little , Lili Zheng , Genevera Allen

Because of the widespread use of black box prediction methods such as random forests and neural nets, there is renewed interest in developing methods for quantifying variable importance as part of the broader goal of interpretable…

Methodology · Statistics 2021-11-23 Isabella Verdinelli , Larry Wasserman

Leveraging recent advances in the analysis of synergy and redundancy in systems of random variables, an adaptive version of the widely used metric Leave One Covariate Out (LOCO) has been recently proposed to quantify cooperative effects in…

Machine Learning · Computer Science 2025-08-05 M. Ontivero-Ortega , A. Fania , A. Lacalamita , R. Bellotti , A. Monaco , S. Stramaglia

Feature selection and importance estimation in a model-agnostic setting is an ongoing challenge of significant interest. Wrapper methods are commonly used because they are typically model-agnostic, even though they are computationally…

Machine Learning · Statistics 2025-08-21 Chenghui Zheng , Garvesh Raskutti

Feature importance inference is critical for the interpretability and reliability of machine learning models. There has been increasing interest in developing model-agnostic approaches to interpret any predictive model, often in the form of…

Machine Learning · Statistics 2026-03-24 Luqin Gan , Lili Zheng , Genevera I. Allen

We propose LOCO, an algorithm for large-scale ridge regression which distributes the features across workers on a cluster. Important dependencies between variables are preserved using structured random projections which are cheap to compute…

Machine Learning · Statistics 2015-06-09 Christina Heinze , Brian McWilliams , Nicolai Meinshausen , Gabriel Krummenacher

Leave-one-problem-out (LOPO) performance prediction requires machine learning (ML) models to extrapolate algorithms' performance from a set of training problems to a previously unseen problem. LOPO is a very challenging task even for…

Machine Learning · Computer Science 2023-06-01 Ana Nikolikj , Michal Pluháček , Carola Doerr , Peter Korošec , Tome Eftimov

In many machine learning problems, understanding variable importance is a central concern. Two common approaches are Permute-and-Predict (PaP), which randomly permutes a feature in a validation set, and Leave-One-Covariate-Out (LOCO), which…

Statistics Theory · Mathematics 2025-10-02 Kelvyn K. Bladen , D. Richard Cutler , Alan Wisler

Not all real-world data are labeled, and when labels are not available, it is often costly to obtain them. Moreover, as many algorithms suffer from the curse of dimensionality, reducing the features in the data to a smaller set is often of…

Machine Learning · Computer Science 2022-05-19 Chiara Balestra , Florian Huber , Andreas Mayr , Emmanuel Müller

In explainable machine learning, global feature importance methods try to determine how much each individual feature contributes to predicting the target variable, resulting in one importance score for each feature. But often, predicting…

Machine Learning · Computer Science 2024-11-01 Gunnar König , Eric Günther , Ulrike von Luxburg

Choosing which properties of the data to use as input to multivariate decision algorithms -- a.k.a. feature selection -- is an important step in solving any problem with machine learning. While there is a clear trend towards training…

High Energy Physics - Phenomenology · Physics 2022-12-02 Ranit Das , Gregor Kasieczka , David Shih

We propose a new measure of variable importance in high-dimensional regression based on the change in the LASSO solution path when one covariate is left out. The proposed procedure provides a novel way to calculate variable importance and…

Methodology · Statistics 2020-05-11 Xiangyang Cao , Karl Gregory , Dewei Wang

Feature importance (FI) measures are widely used to assess the contributions of predictors to an outcome, but they may target different notions of relevance. When predictors are correlated, traditional statistical FI methods are often…

Machine Learning · Statistics 2026-03-17 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

In supervised machine learning, feature selection plays a very important role by potentially enhancing explainability and performance as measured by computing time and accuracy-related metrics. In this paper, we investigate a method for…

Machine Learning · Computer Science 2024-02-02 Raisa Islam , Subhasish Mazumdar , Rakibul Islam

Variable importance plays a pivotal role in interpretable machine learning as it helps measure the impact of factors on the output of the prediction model. Model agnostic methods based on the generation of "null" features via permutation…

We consider a global representation of a regression or classification function by decomposing it into the sum of main and interaction components of arbitrary order. We propose a new identification constraint that allows for the extraction…

Machine Learning · Computer Science 2023-02-24 Munir Hiabu , Joseph T. Meyer , Marvin N. Wright

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

Recent works have revealed an essential paradigm in designing loss functions that differentiate individual losses vs. aggregate losses. The individual loss measures the quality of the model on a sample, while the aggregate loss combines…

Machine Learning · Computer Science 2023-07-17 Shu Hu , Xin Wang , Siwei Lyu

In mammalian and vertebrate genomes, the promoter regions of the gene and their distal enhancers may be located millions of base-pairs from each other, while a promoter may not interact with the closest enhancer. Since base-pair proximity…

Machine Learning · Computer Science 2025-04-02 Muhammad Tahir , Shehroz S. Khan , James Davie , Soichiro Yamanaka , Ahmed Ashraf

Assessing the importance of individual features in Machine Learning is critical to understand the model's decision-making process. While numerous methods exist, the lack of a definitive ground truth for comparison highlights the need for…

Machine Learning · Computer Science 2025-12-05 Eddie Conti , Álvaro Parafita , Axel Brando
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