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Cooperative game theory has become a cornerstone of post-hoc interpretability in machine learning, largely through the use of Shapley values. Yet, despite their widespread adoption, Shapley-based methods often rest on axiomatic…

机器学习 · 统计学 2025-06-18 Marouane Il Idrissi , Agathe Fernandes Machado , Arthur Charpentier

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…

机器学习 · 统计学 2023-05-25 Siu Lun Chau , Krikamol Muandet , Dino Sejdinovic

The Shapley value is a common tool in game theory to evaluate the importance of a player in a cooperative setting. In a geometric context, it provides a way to measure the contribution of a geometric object in a set towards some function on…

计算几何 · 计算机科学 2020-02-14 Shuhao Tan

The presence of artificial intelligence (AI) in our society is increasing, which brings with it the need to understand the behavior of AI mechanisms, including machine learning predictive algorithms fed with tabular data, text or images,…

机器学习 · 统计学 2025-06-06 Pedro Delicado , Cristian Pachón-García

Shapley value is a concept in cooperative game theory for measuring the contribution of each participant, which was named in honor of Lloyd Shapley. Shapley value has been recently applied in data marketplaces for compensation allocation…

机器学习 · 计算机科学 2020-03-24 Jinfei Liu

The Shapley value is one of the most widely used measures of feature importance partly as it measures a feature's average effect on a model's prediction. We introduce joint Shapley values, which directly extend Shapley's axioms and…

机器学习 · 统计学 2022-02-11 Chris Harris , Richard Pymar , Colin Rowat

Distributional data Shapley value (DShapley) has recently been proposed as a principled framework to quantify the contribution of individual datum in machine learning. DShapley develops the foundational game theory concept of Shapley values…

机器学习 · 统计学 2021-02-19 Yongchan Kwon , Manuel A. Rivas , James Zou

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

机器学习 · 计算机科学 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman

This study introduces the \emph{edge-based Shapley value}, a novel allocation rule within cooperative game theory, specifically tailored for networked systems, where value is generated through interactions represented by edges. Traditional…

计算机科学与博弈论 · 计算机科学 2025-07-17 Taiki Yamada , Taisuke Matsubae , Tomoya Akamatsu

The purpose of this study is to propose a model that predicts the social and psychological factors that affect the individuals collaborative learning outcome in group projects. The model is established on the basis of two theories, namely,…

计算机与社会 · 计算机科学 2016-10-18 Sara Taraman , Yasmin Hassan , Doaa Shawky , Ashraf H. Badawi

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. Spatial facility location models have successfully predicted the outcome of…

计算机科学与博弈论 · 计算机科学 2017-10-10 Omer Ben-Porat , Moshe Tennenholtz

The Shapley value concept from cooperative game theory has become a popular technique for interpreting ML models, but efficiently estimating these values remains challenging, particularly in the model-agnostic setting. Here, we revisit the…

机器学习 · 计算机科学 2021-04-26 Ian Covert , Su-In Lee

In the classical context, the cooperative game theory concept of the Shapley value has been adapted for post hoc explanations of machine learning models. However, this approach does not easily translate to eXplainable Quantum ML (XQML).…

新兴技术 · 计算机科学 2024-11-05 Iain Burge , Michel Barbeau , Joaquin Garcia-Alfaro

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…

计算机科学与博弈论 · 计算机科学 2013-07-02 Haris Aziz , Bart de Keijzer

Various peer-to-peer energy markets have emerged in recent years in an attempt to manage distributed energy resources in a more efficient way. One of the main challenges these models face is how to create and allocate incentives to…

计算机科学与博弈论 · 计算机科学 2019-03-27 Liyang Han , Thomas Morstyn , Malcolm McCulloch

We investigate the application of the Shapley value to quantifying the contribution of a tuple to a query answer. The Shapley value is a widely known numerical measure in cooperative game theory and in many applications of game theory for…

数据库 · 计算机科学 2023-06-22 Ester Livshits , Leopoldo Bertossi , Benny Kimelfeld , Moshe Sebag

This book summarizes ongoing research introducing probability space isomorphic mappings into the strategy spaces of game theory. This approach is motivated by discrepancies between probability theory and game theory when applied to the same…

计算机科学与博弈论 · 计算机科学 2013-04-23 Michael J Gagen

The Shapley value---probably the most important normative payoff division scheme in coalitional games---has recently been advocated as a useful measure of centrality in networks. However, although this approach has a variety of real-world…

计算机科学与博弈论 · 计算机科学 2014-02-05 Tomasz Pawel Michalak , Karthik V Aadithya , Piotr L. Szczepanski , Balaraman Ravindran , Nicholas R. Jennings

Besides accuracy, recent studies on machine learning models have been addressing the question on how the obtained results can be interpreted. Indeed, while complex machine learning models are able to provide very good results in terms of…

机器学习 · 计算机科学 2022-11-07 Guilherme Dean Pelegrina , Leonardo Tomazeli Duarte , Michel Grabisch

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…

统计方法学 · 统计学 2025-05-27 Akira Horiguchi , Matthew T. Pratola