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Valuation problems, such as feature interpretation, data valuation and model valuation for ensembles, become increasingly more important in many machine learning applications. Such problems are commonly solved by well-known game-theoretic…

Machine Learning · Computer Science 2022-05-13 Yatao Bian , Yu Rong , Tingyang Xu , Jiaxiang Wu , Andreas Krause , Junzhou Huang

Shapley values are widely recognized as a principled method for attributing importance to input features in machine learning. However, the exact computation of Shapley values scales exponentially with the number of features, severely…

Machine Learning · Computer Science 2025-08-21 Majid Mohammadi , Krikamol Muandet , Ilaria Tiddi , Annette Ten Teije , Siu Lun Chau

Additive feature explanations using Shapley values have become popular for providing transparency into the relative importance of each feature to an individual prediction of a machine learning model. While Shapley values provide a unique…

Machine Learning · Computer Science 2021-12-21 Thomas W. Campbell , Heinrich Roder , Robert W. Georgantas , Joanna Roder

The increasing complexity of AI systems has made understanding their behavior critical. Numerous interpretability methods have been developed to attribute model behavior to three key aspects: input features, training data, and internal…

Machine Learning · Computer Science 2025-05-30 Shichang Zhang , Tessa Han , Usha Bhalla , Himabindu Lakkaraju

In this paper we apply the previously introduced approximation method based on the ANOVA (analysis of variance) decomposition and Grouped Transformations to synthetic and real data. The advantage of this method is the interpretability of…

Machine Learning · Statistics 2022-01-31 Daniel Potts , Michael Schmischke

Researchers have proposed a wide variety of model explanation approaches, but it remains unclear how most methods are related or when one method is preferable to another. We examine the literature and find that many methods are based on a…

Machine Learning · Computer Science 2022-08-24 Ian Covert , Scott Lundberg , Su-In Lee

Prototype-based explanations offer an intuitive, example-based approach to support the interpretability of machine learning black box classifiers but often lack feature-level granularity. We introduce a framework that integrates feature…

Machine Learning · Computer Science 2026-05-22 Jacek Karolczak , Jerzy Stefanowski

ANOVA decomposition of function with random input variables provides ANOVA functionals (AFs), which contain information about the contributions of the input variables on the output variable(s). By embedding AFs into an appropriate…

Statistics Theory · Mathematics 2023-11-29 Matieyendou Lamboni

Shapley values are today extensively used as a model-agnostic explanation framework to explain complex predictive machine learning models. Shapley values have desirable theoretical properties and a sound mathematical foundation in the field…

Machine Learning · Statistics 2022-08-16 Lars Henry Berge Olsen , Ingrid Kristine Glad , Martin Jullum , Kjersti Aas

For feature selection and related problems, we introduce the notion of classification game, a cooperative game, with features as players and hinge loss based characteristic function and relate a feature's contribution to Shapley value based…

Machine Learning · Statistics 2021-04-27 Sandhya Tripathi , N. Hemachandra , Prashant Trivedi

Analysis of variance (ANOVA) is an extremely important method in exploratory and confirmatory data analysis. Unfortunately, in complex problems (e.g., split-plot designs), it is not always easy to set up an appropriate ANOVA. We propose a…

Statistics Theory · Mathematics 2007-06-13 Andrew Gelman

We establish sensitivity analysis on the sphere. We present formulas that allow us to decompose a function $f\colon \mathbb S^d\rightarrow \mathbb R$ into a sum of terms $f_{\boldsymbol u,\boldsymbol \xi}$. The index $\boldsymbol u$ is a…

Numerical Analysis · Mathematics 2026-05-15 Laura Weidensager

Feature attribution methods help make machine learning-based inference explainable by determining how much one or several features have contributed to a model's output. A particularly popular attribution method is based on the Shapley value…

Artificial Intelligence · Computer Science 2025-11-04 Filip Naudot , Tobias Sundqvist , Timotheus Kampik

Machine learning algorithms are increasingly used for consequential decision making regarding individuals based on their relevant features. Features that are relevant for accurate decisions may however lead to either explicit or implicit…

Machine Learning · Computer Science 2021-06-09 Sajad Khodadadian , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

eXplainable Artificial Intelligence (XAI) is a sub-field of Artificial Intelligence (AI) that is at the forefront of AI research. In XAI, feature attribution methods produce explanations in the form of feature importance. People often use…

Artificial Intelligence · Computer Science 2022-02-09 Jamie Duell , Monika Seisenberger , Gert Aarts , Shangming Zhou , Xiuyi Fan

One-class recognition is traditionally approached either as a representation learning problem or a feature modeling problem. In this work, we argue that both of these approaches have their own limitations; and a more effective solution can…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Pramuditha Perera , Vishal Patel

With increasing interest in explaining machine learning (ML) models, the first part of this two-part study synthesizes recent research on methods for explaining global and local aspects of ML models. This study distinguishes explainability…

Machine Learning · Statistics 2022-11-17 Montgomery Flora , Corey Potvin , Amy McGovern , Shawn Handler

In explainable machine learning, local post-hoc explanation algorithms and inherently interpretable models are often seen as competing approaches. This work offers a partial reconciliation between the two by establishing a correspondence…

Machine Learning · Computer Science 2023-02-24 Sebastian Bordt , Ulrike von Luxburg

Functional ANOVA provides a nonparametric modeling framework for multivariate covariates, enabling flexible estimation and interpretation of effect functions such as main effects and interaction effects. However, effect-wise inference in…

Methodology · Statistics 2026-02-04 Youngjin Cho , Meimei Liu

The analysis of variance (ANOVA) decomposition offers a systematic method to understand the interaction effects that contribute to a specific decision output. In this paper we introduce Neural-ANOVA, an approach to decompose neural networks…

Machine Learning · Statistics 2025-08-01 Steffen Limmer , Steffen Udluft , Clemens Otte