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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

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…

Recent advances in machine learning have greatly expanded the repertoire of predictive methods for medical imaging. However, the interpretability of complex models remains a challenge, which limits their utility in medical applications.…

Machine Learning · Statistics 2025-08-13 Joseph Paillard , Antoine Collas , Denis A. Engemann , Bertrand Thirion

Despite the popularity of feature importance (FI) measures in interpretable machine learning, the statistical adequacy of these methods is rarely discussed. From a statistical perspective, a major distinction is between analyzing a…

Machine Learning · Statistics 2023-05-03 Kristin Blesch , David S. Watson , Marvin N. Wright

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…

Machine Learning · Computer Science 2026-05-22 Joseph Paillard , Angel Reyero Lobo , Vitaliy Kolodyazhniy , Bertrand Thirion , Denis A. Engemann

Conditional Feature Importance (CFI) is a classical variable importance measure that accounts for the relationship between the studied feature and the others. However, CFI has not yet been studied from a theoretical perspective because the…

Statistics Theory · Mathematics 2026-02-03 Angel Reyero-Lobo , Pierre Neuvial , Bertrand Thirion

Variable selection in high-dimensional scenarios is of great interested in statistics. One application involves identifying differentially expressed genes in genomic analysis. Existing methods for addressing this problem have some limits or…

Methodology · Statistics 2018-06-19 Liuhua Peng , Long Qu , Dan Nettleton

We propose the conditional predictive impact (CPI), a consistent and unbiased estimator of the association between one or several features and a given outcome, conditional on a reduced feature set. Building on the knockoff framework of…

Methodology · Statistics 2021-05-14 David S. Watson , Marvin N. Wright

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

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

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

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

Humans often juggle multiple, sometimes conflicting objectives and shift their priorities as circumstances change, rather than following a fixed objective function. In contrast, most computational decision-making and multi-objective RL…

Artificial Intelligence · Computer Science 2026-03-25 Xianwei Cao , Dou Quan , Zhenliang Zhang , Shuang Wang

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

Variable importance (VI) tools describe how much covariates contribute to a prediction model's accuracy. However, important variables for one well-performing model (for example, a linear model $f(\mathbf{x})=\mathbf{x}^{T}\beta$ with a…

Methodology · Statistics 2019-12-24 Aaron Fisher , Cynthia Rudin , Francesca Dominici

Over the past few years, the use of machine learning models has emerged as a generic and powerful means for prediction purposes. At the same time, there is a growing demand for interpretability of prediction models. To determine which…

Machine Learning · Computer Science 2023-01-13 Joris Pries , Guus Berkelmans , Sandjai Bhulai , Rob van der Mei

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

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

We present a new data analysis perspective to determine variable importance regardless of the underlying learning task. Traditionally, variable selection is considered an important step in supervised learning for both classification and…

Machine Learning · Computer Science 2023-04-11 Ayhan Demiriz

Convolutional Neural Networks (CNNs) achieve high performance in image classification tasks but are challenging to deploy on resource-limited hardware due to their large model sizes. To address this issue, we leverage Mutual Information, a…

Machine Learning · Computer Science 2024-11-28 Tien Vu-Van , Dat Du Thanh , Nguyen Ho , Mai Vu
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