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As Artificial Intelligence (AI) is having more influence on our everyday lives, it becomes important that AI-based decisions are transparent and explainable. As a consequence, the field of eXplainable AI (or XAI) has become popular in…

Artificial Intelligence · Computer Science 2024-04-18 Nils Ole Breuer , Andreas Sauter , Majid Mohammadi , Erman Acar

Explainability and fairness have mainly been considered separately, with recent exceptions trying the explain the sources of unfairness. This paper shows that the Shapley value can be used to both define and explain unfairness, under…

Machine Learning · Computer Science 2026-03-31 Fadoua Amri-Jouidel , Emmanuel Kemel , Stéphane Mussard

Social intelligence, the ability to navigate complex interpersonal interactions, presents a fundamental challenge for language agents. Training such agents via reinforcement learning requires solving the credit assignment problem:…

Artificial Intelligence · Computer Science 2026-04-22 Xiachong Feng , Yi Jiang , Xiaocheng Feng , Deyi Yin , Libo Qin , Yangfan Ye , Lei Huang , Weitao Ma , Yuxuan Gu , Chonghan Qin , Bing Qin , Lingpeng Kong

Open multi-agent systems are increasingly important in modeling real-world applications, such as smart grids, swarm robotics, etc. In this paper, we aim to investigate a recently proposed problem for open multi-agent systems, referred to as…

Multiagent Systems · Computer Science 2025-06-16 Jianhong Wang , Yang Li , Samuel Kaski , Jonathan Lawry

Collaborative machine learning (ML) is an appealing paradigm to build high-quality ML models by training on the aggregated data from many parties. However, these parties are only willing to share their data when given enough incentives,…

Machine Learning · Computer Science 2020-10-27 Rachael Hwee Ling Sim , Yehong Zhang , Mun Choon Chan , Bryan Kian Hsiang Low

We argue that relative importance and its equitable attribution in terms of Shapley-Owen effects is an appropriate one, and, if we accept a small number of reasonable imperatives for equitable attribution, the only way to measure fairness.…

Artificial Intelligence · Computer Science 2024-10-01 Harald Ruess

Explainable artificial intelligence (XAI) holds immense significance in enhancing the deep neural network's transparency and credibility, particularly in some risky and high-cost scenarios, like synthetic aperture radar (SAR). Shapley is a…

Artificial Intelligence · Computer Science 2024-01-09 Xuran Hu , Mingzhe Zhu , Yuanjing Liu , Zhenpeng Feng , LJubisa Stankovic

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

Feature attribution methods have become essential for explaining machine learning models. Many popular approaches, such as SHAP and Banzhaf values, are grounded in power indices from cooperative game theory, which measure the contribution…

Machine Learning · Computer Science 2025-01-07 P. Barceló , R. Cominetti , M. Morgado

In this growing age of data and technology, large black-box models are becoming the norm due to their ability to handle vast amounts of data and learn incredibly complex data patterns. The deficiency of these methods, however, is their…

Machine Learning · Computer Science 2026-04-09 Justin Lin , Julia Fukuyama

Association rules are an important technique for gaining insights over large relational datasets consisting of tuples of elements (i.e. attribute-value pairs). However, it is difficult to explain the relative importance of data elements…

Databases · Computer Science 2024-12-31 Hadar Ben-Efraim , Susan B. Davidson , Amit Somech

"How much is my data worth?" is an increasingly common question posed by organizations and individuals alike. An answer to this question could allow, for instance, fairly distributing profits among multiple data contributors and determining…

Machine Learning · Computer Science 2023-03-07 Ruoxi Jia , David Dao , Boxin Wang , Frances Ann Hubis , Nick Hynes , Nezihe Merve Gurel , Bo Li , Ce Zhang , Dawn Song , Costas Spanos

Machine Learning (ML) is becoming increasingly popular in fluid dynamics. Powerful ML algorithms such as neural networks or ensemble methods are notoriously difficult to interpret. Here, we introduce the novel Shapley Additive Explanations…

Fluid Dynamics · Physics 2022-05-20 Martin Lellep , Jonathan Prexl , Bruno Eckhardt , Moritz Linkmann

What is the value of an individual model in an ensemble of binary classifiers? We answer this question by introducing a class of transferable utility cooperative games called \textit{ensemble games}. In machine learning ensembles,…

Machine Learning · Computer Science 2021-06-14 Benedek Rozemberczki , Rik Sarkar

We study the attribution problem, that is, the problem of attributing a change in the value of a characteristic function to its independent variables. We make three contributions. First, we propose a formalization of the problem based on a…

Computer Science and Game Theory · Computer Science 2016-07-13 Yi Sun , Mukund Sundararajan

Feature attributions are a common paradigm for model explanations due to their simplicity in assigning a single numeric score for each input feature to a model. In the actionable recourse setting, wherein the goal of the explanations is to…

Machine Learning · Computer Science 2022-05-17 Emanuele Albini , Jason Long , Danial Dervovic , Daniele Magazzeni

Multivariate time-series models achieve strong predictive performance in healthcare, industry, energy, and finance, but how they combine cross-variable interactions with temporal dynamics remains unclear. SHapley Additive exPlanations…

Machine Learning · Computer Science 2026-01-13 Jinwoong Kim , Sangjin Park

Every weighted tree corresponds naturally to a cooperative game that we call a "tree game"; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the…

Quantitative Methods · Quantitative Biology 2009-09-02 Claus-Jochen Haake , Akemi Kashiwada , Francis Edward Su

We study the efficient computation of Shapley values for \emph{product games} -- cooperative games in which the coalition value factorizes as a product of per-player terms. Such games arise in machine learning explainability whenever the…

Machine Learning · Computer Science 2026-05-19 Majid Mohammadi , Grigory Reznikov , Pavel Sinitcyn , Krikamol Muandet , Siu Lun Chau

Shapley effects are a particularly interpretable approach to assessing how a function depends on its various inputs. The existing literature contains various estimators for this class of sensitivity indices in the context of nonparametric…

Methodology · Statistics 2025-05-27 Akira Horiguchi , Matthew T. Pratola