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A shortcoming of black-box supervised learning models is their lack of interpretability or transparency. To facilitate interpretation, post-hoc global variable importance measures (VIMs) are widely used to assign to each predictor or input…

Methodology · Statistics 2025-12-25 Jingyu Zhu , Daniel W. Apley

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

Variable importance is central to scientific studies, including the social sciences and causal inference, healthcare, and other domains. However, current notions of variable importance are often tied to a specific predictive model. This is…

Machine Learning · Statistics 2020-02-11 Jiayun Dong , Cynthia Rudin

This essay looks at decision-making with interval-valued probability measures. Existing decision methods have either supplemented expected utility methods with additional criteria of optimality, or have attempted to supplement the…

Artificial Intelligence · Computer Science 2013-04-15 Ronald P. Loui

Selecting from or ranking a set of candidates variables in terms of their capacity for predicting an outcome of interest is an important task in many scientific fields. A variety of methods for variable selection and ranking have been…

Methodology · Statistics 2023-08-23 Zhou Tang , Ted Westling

Variable importance is defined as a measure of each regressor's contribution to model fit. Using R^2 as the fit criterion in linear models leads to the Shapley value (LMG) and proportionate value (PMVD) as variable importance measures.…

Methodology · Statistics 2022-12-08 Charles D. Coleman

Explaining AI systems is fundamental both to the development of high performing models and to the trust placed in them by their users. The Shapley framework for explainability has strength in its general applicability combined with its…

Machine Learning · Statistics 2021-12-21 Christopher Frye , Colin Rowat , Ilya Feige

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…

Many methods are available for assessing the importance of omitted variables in linear regression. These methods typically make different, non-falsifiable assumptions. Hence the data alone cannot tell us which method is most appropriate.…

Econometrics · Economics 2026-02-05 Paul Diegert , Matthew A. Masten , Alexandre Poirier

The most popular methods for measuring importance of the variables in a black box prediction algorithm make use of synthetic inputs that combine predictor variables from multiple subjects. These inputs can be unlikely, physically…

Machine Learning · Computer Science 2023-04-14 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

This paper develops computable metrics to assign priorities for information collection on network systems made up by binary components. Components are worth inspecting because their condition state is uncertain and the system functioning…

Optimization and Control · Mathematics 2021-06-10 Chaochao Lin , Junho Song , Matteo Pozzi

Although conceptually related, variable selection and relative importance (RI) analysis have been treated quite differently in the literature. While RI is typically used for post-hoc model explanation, this paper explores its potential for…

Machine Learning · Statistics 2026-04-24 Tien-En Chang , Argon Chen

This paper makes the case for using Shapley value to quantify the importance of random input variables to a function. Alternatives based on the ANOVA decomposition can run into conceptual and computational problems when the input variables…

Statistics Theory · Mathematics 2017-03-22 Art B. Owen , Clémentine Prieur

The rapid advancement and widespread adoption of machine learning-driven technologies have underscored the practical and ethical need for creating interpretable artificial intelligence systems. Feature importance, a method that assigns…

Machine Learning · Computer Science 2023-12-07 Nimrod Harel , Uri Obolski , Ran Gilad-Bachrach

We introduce a variable importance measure to quantify the impact of individual input variables to a black box function. Our measure is based on the Shapley value from cooperative game theory. Many measures of variable importance operate by…

Machine Learning · Computer Science 2020-10-05 Masayoshi Mase , Art B. Owen , Benjamin Seiler

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

Statistics Theory · Mathematics 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

Interpreting black-box machine learning models is challenging due to their strong dependence on data and inherently non-parametric nature. This paper reintroduces the concept of importance through "Marginal Variable Importance Metric"…

Machine Learning · Statistics 2025-01-30 Mohammad Kaviul Anam Khan , Olli Saarela , Rafal Kustra

Value-of-information analyses provide a straightforward means for selecting the best next observation to make, and for determining whether it is better to gather additional information or to act immediately. Determining the next best test…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Eric J. Horvitz , Blackford Middleton

In this paper we define a population parameter, ``Generalized Variable Importance Metric (GVIM)'', to measure importance of predictors for black box machine learning methods, where the importance is not represented by model-based parameter.…

Computation · Statistics 2023-12-27 Mohammad Kaviul Anam Khan , Olli Saarela , Rafal Kustra

In the era of "big data", it is becoming more of a challenge to not only build state-of-the-art predictive models, but also gain an understanding of what's really going on in the data. For example, it is often of interest to know which, if…

Machine Learning · Statistics 2018-05-15 Brandon M. Greenwell , Bradley C. Boehmke , Andrew J. McCarthy
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