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The interpretation of feature importance in machine learning models is challenging when features are dependent. Permutation feature importance (PFI) ignores such dependencies, which can cause misleading interpretations due to extrapolation.…

Machine Learning · Statistics 2023-11-09 Christoph Molnar , Gunnar König , Bernd Bischl , Giuseppe Casalicchio

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

Feature importance methods using unrestricted permutations are flawed due to extrapolation errors; such errors appear in all non-trivial variable importance approaches. We propose three new approaches: conditional model reliance and…

Machine Learning · Statistics 2026-04-14 Emanuele Borgonovo , Francesco Cappelli , Xuefei Lu , Elmar Plischke , Cynthia Rudin

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

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…

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

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

Variable importance assessment has become a crucial step in machine-learning applications when using complex learners, such as deep neural networks, on large-scale data. Removal-based importance assessment is currently the reference…

Machine Learning · Computer Science 2023-10-27 Ahmad Chamma , Denis A. Engemann , Bertrand Thirion

While achieving high prediction accuracy is a fundamental goal in machine learning, an equally important task is finding a small number of features with high explanatory power. One popular selection technique is permutation importance,…

Machine Learning · Statistics 2024-10-02 Min Lu , Hemant Ishwaran

A common approach for feature selection is to examine the variable importance scores for a machine learning model, as a way to understand which features are the most relevant for making predictions. Given the significance of feature…

Machine Learning · Computer Science 2021-05-13 Jack Dunn , Luca Mingardi , Ying Daisy Zhuo

In order to trust the predictions of a machine learning algorithm, it is necessary to understand the factors that contribute to those predictions. In the case of probabilistic and uncertainty-aware models, it is necessary to understand not…

Machine Learning · Statistics 2024-08-19 Danny Wood , Theodore Papamarkou , Matt Benatan , Richard Allmendinger

Along with accurate prediction, understanding the contribution of each feature to the making of the prediction, i.e., the importance of the feature, is a desirable and arguably necessary component of a machine learning model. For a complex…

Machine Learning · Computer Science 2025-07-11 Aaron Foote , Danny Krizanc

Understanding how changes in explanatory features affect the unconditional distribution of the outcome is important in many applications. However, existing black-box predictive models are not readily suited for analyzing such questions. In…

Machine Learning · Statistics 2024-12-10 Jing Zhou , Chunlin Li

Importance sampling is widely used in machine learning and statistics, but its power is limited by the restriction of using simple proposals for which the importance weights can be tractably calculated. We address this problem by studying…

Machine Learning · Statistics 2016-10-18 Qiang Liu , Jason D. Lee

Given a model $f$ that predicts a target $y$ from a vector of input features $\pmb{x} = x_1, x_2, \ldots, x_M$, we seek to measure the importance of each feature with respect to the model's ability to make a good prediction. To this end, we…

Machine Learning · Computer Science 2019-10-03 Luke Merrick

One of the most common pitfalls often found in high dimensional biological data sets are correlations between the features. This may lead to statistical and machine learning methodologies overvaluing or undervaluing these correlated…

Machine Learning · Computer Science 2021-11-18 Troy Maaslandand , João Pereira , Diogo Bastos , Marcus de Goffau , Max Nieuwdorp , Aeilko H. Zwinderman , Evgeni Levin

Interpretability is an important area of research for safe deployment of machine learning systems. One particular type of interpretability method attributes model decisions to input features. Despite active development, quantitative…

Machine Learning · Computer Science 2019-11-06 Mengjiao Yang , Been Kim

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

Methodology · Statistics 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

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

As machine learning methods see greater adoption and implementation in high stakes applications such as medical image diagnosis, the need for model interpretability and explanation has become more critical. Classical approaches that assess…

Machine Learning · Computer Science 2020-02-12 Sumedha Singla , Brian Pollack , Junxiang Chen , Kayhan Batmanghelich
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