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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

We present a novel approach for explaining Gaussian processes (GPs) that can utilize the full analytical covariance structure present in GPs. Our method is based on the popular solution concept of Shapley values extended to stochastic…

Machine Learning · Statistics 2023-05-25 Siu Lun Chau , Krikamol Muandet , Dino Sejdinovic

This paper introduces GeoShapley, a game theory approach to measuring spatial effects in machine learning models. GeoShapley extends the Nobel Prize-winning Shapley value framework in game theory by conceptualizing location as a player in a…

Machine Learning · Computer Science 2025-02-21 Ziqi Li

Given an unexpected change in the output metric of a large-scale system, it is important to answer why the change occurred: which inputs caused the change in metric? A key component of such an attribution question is estimating the…

Machine Learning · Computer Science 2022-08-18 Amit Sharma , Hua Li , Jian Jiao

This paper discusses an application of Shapley values in the causal inference field, specifically on how to select the top confounder variables for coarsened exact matching method in a scalable way. We use a dataset from an observational…

Machine Learning · Statistics 2022-06-08 Jilei Yang , Wentao Su

Value factorisation is a useful technique for multi-agent reinforcement learning (MARL) in global reward game, however its underlying mechanism is not yet fully understood. This paper studies a theoretical framework for value factorisation…

Machine Learning · Computer Science 2023-01-10 Jianhong Wang , Yuan Zhang , Yunjie Gu , Tae-Kyun Kim

Predictive black-box models can exhibit high accuracy but their opaque nature hinders their uptake in safety-critical deployment environments. Explanation methods (XAI) can provide confidence for decision-making through increased…

Machine Learning · Statistics 2023-06-27 Lucile Ter-Minassian , Oscar Clivio , Karla Diaz-Ordaz , Robin J. Evans , Chris Holmes

This paper presents an approach for estimating Shapley effects for use as global sensitivity metrics to quantify the relative importance of uncertain model parameters. Polynomial Chaos expansion, a well established approach for developing…

Applications · Statistics 2023-01-12 Adrian Stein , Tarunraj Singh

Feature attribution for kernel methods is often heuristic and not individualised for each prediction. To address this, we turn to the concept of Shapley values~(SV), a coalition game theoretical framework that has previously been applied to…

Machine Learning · Statistics 2022-05-27 Siu Lun Chau , Robert Hu , Javier Gonzalez , Dino Sejdinovic

Model averaging techniques in the actuarial literature aim to forecast future longevity appropriately by combining forecasts derived from various models. This approach often yields more accurate predictions than those generated by a single…

Applications · Statistics 2025-10-28 Giovanna Bimonte , Maria Russolillo , Han Lin Shang , Yang Yang

With the adoption of machine learning into routine clinical practice comes the need for Explainable AI methods tailored to medical applications. Shapley values have sparked wide interest for locally explaining models. Here, we demonstrate…

Machine Learning · Computer Science 2024-02-02 Lucile Ter-Minassian , Sahra Ghalebikesabi , Karla Diaz-Ordaz , Chris Holmes

Lloyd Shapley's cooperative value allocation theory stands as a central concept in game theory, extensively utilized across various domains to distribute resources, evaluate individual contributions, and ensure fairness. The Shapley value…

Probability · Mathematics 2024-08-23 Tongseok Lim

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

For $f$ a weighted voting scheme used by $n$ voters to choose between two candidates, the $n$ \emph{Shapley-Shubik Indices} (or {\em Shapley values}) of $f$ provide a measure of how much control each voter can exert over the overall outcome…

Computer Science and Game Theory · Computer Science 2012-12-21 Anindya De , Ilias Diakonikolas , Rocco A. Servedio

Hyperparameter optimization (HPO) is a crucial step in achieving strong predictive performance. Yet, the impact of individual hyperparameters on model generalization is highly context-dependent, prohibiting a one-size-fits-all solution and…

Machine Learning · Computer Science 2025-11-11 Marcel Wever , Maximilian Muschalik , Fabian Fumagalli , Marius Lindauer

Existing methods of explainable AI and interpretable ML cannot explain change in the values of an output variable for a statistical unit in terms of the change in the input values and the change in the "mechanism" (the function transforming…

Machine Learning · Computer Science 2022-06-28 Kailash Budhathoki , George Michailidis , Dominik Janzing

The Shapley value is the prevalent solution for fair division problems in which a payout is to be divided among multiple agents. By adopting a game-theoretic view, the idea of fair division and the Shapley value can also be used in machine…

Computer Science and Game Theory · Computer Science 2026-05-13 Guilherme Dean Pelegrina , Patrick Kolpaczki , Eyke Hüllermeier

This paper concerns the analysis of the Shapley value in matching games. Matching games constitute a fundamental class of cooperative games which help understand and model auctions and assignments. In a matching game, the value of a…

Computer Science and Game Theory · Computer Science 2013-07-02 Haris Aziz , Bart de Keijzer

Quantifying the inconsistency of a database is motivated by various goals including reliability estimation for new datasets and progress indication in data cleaning. Another goal is to attribute to individual tuples a level of…

Databases · Computer Science 2023-06-22 Ester Livshits , Benny Kimelfeld

Reliability-oriented sensitivity analysis methods have been developed for understanding the influence of model inputs relative to events which characterize the failure of a system (e.g., a threshold exceedance of the model output). In this…

Statistics Theory · Mathematics 2025-07-04 Marouane Il Idrissi , Vincent Chabridon , Bertrand Iooss
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