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Shapley values, which were originally designed to assign attributions to individual players in coalition games, have become a commonly used approach in explainable machine learning to provide attributions to input features for black-box…

Machine Learning · Computer Science 2023-03-24 Che-Ping Tsai , Chih-Kuan Yeh , Pradeep Ravikumar

Data valuation has garnered increasing attention in recent years, given the critical role of high-quality data in various applications. Among diverse data valuation approaches, Shapley value-based methods are predominant due to their strong…

Machine Learning · Computer Science 2025-11-27 Xiaoling Zhou , Ou Wu , Michael K. Ng , Hao Jiang

In allocation problems, a given set of goods are assigned to agents in such a way that the social welfare is maximised, that is, the largest possible global worth is achieved. When goods are indivisible, it is possible to use money…

Computer Science and Game Theory · Computer Science 2017-09-14 Francesco Lupia , Angelo Mendicelli , Andrea Ribichini , Francesco Scarcello , Marco Schaerf

In this paper we investigate the problem of quantifying the contribution of each variable to the satisfying assignments of a Boolean function based on the Shapley value. Our main result is a polynomial-time equivalence between computing…

Databases · Computer Science 2023-06-27 Ahmet Kara , Dan Olteanu , Dan Suciu

In this work, we examine Asymmetric Shapley Values (ASV), a variant of the popular SHAP additive local explanation method. ASV proposes a way to improve model explanations incorporating known causal relations between variables, and is also…

Machine Learning · Computer Science 2023-10-17 Domokos M. Kelen , Mihály Petreczky , Péter Kersch , András A. Benczúr

Quantifying the value of data within a machine learning workflow can play a pivotal role in making more strategic decisions in machine learning initiatives. The existing Shapley value based frameworks for data valuation in machine learning…

Machine Learning · Computer Science 2024-07-10 Ayush K Tarun , Vikram S Chundawat , Murari Mandal , Hong Ming Tan , Bowei Chen , Mohan Kankanhalli

The Shapley value is a ubiquitous framework for attribution in machine learning, encompassing feature importance, data valuation, and causal inference. However, its exact computation is generally intractable, necessitating efficient…

Machine Learning · Computer Science 2026-02-03 Fabian Fumagalli , Landon Butler , Justin Singh Kang , Kannan Ramchandran , R. Teal Witter

The Shapley value (SV) has emerged as a promising method for data valuation. However, computing or estimating the SV is often computationally expensive. To overcome this challenge, Jia et al. (2019) propose an advanced SV estimation…

Machine Learning · Statistics 2023-02-23 Jiachen T. Wang , Ruoxi Jia

Changes in input distribution can induce shifts in the average predictions of machine learning models. Such prediction shifts may impact downstream business outcomes (e.g. a bank's loan approval rate), so understanding their causes can be…

Machine Learning · Computer Science 2026-04-14 Tom Bewley , Salim I. Amoukou , Emanuele Albini , Saumitra Mishra , Manuela Veloso

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…

Computer Science and Game Theory · Computer Science 2014-02-05 Tomasz Pawel Michalak , Karthik V Aadithya , Piotr L. Szczepanski , Balaraman Ravindran , Nicholas R. Jennings

Ensuring fairness in machine learning models is critical, particularly in high-stakes domains where biased decisions can lead to serious societal consequences. Existing preprocessing approaches generally lack transparent mechanisms for…

Machine Learning · Computer Science 2026-02-24 Lin Zhu , Yijun Bian , Lei You

Many existing approaches for estimating feature importance are problematic because they ignore or hide dependencies among features. A causal graph, which encodes the relationships among input variables, can aid in assigning feature…

Machine Learning · Computer Science 2021-03-01 Jiaxuan Wang , Jenna Wiens , Scott Lundberg

The Shapley value is one of the most important solution concepts in cooperative game theory. In coalitional games without externalities, it allows to compute a unique payoff division that meets certain desirable fairness axioms. However, in…

Computer Science and Game Theory · Computer Science 2015-03-19 Oskar Skibski

In this paper, we argue that the prevailing approach to training and evaluating machine learning models often fails to consider their real-world application within organizational or societal contexts, where they are intended to create…

Machine Learning · Computer Science 2025-04-24 Burcu Sayin , Jie Yang , Xinyue Chen , Andrea Passerini , Fabio Casati

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

Shapley data valuation provides a principled, axiomatic framework for assigning importance to individual datapoints, and has gained traction in dataset curation, pruning, and pricing. However, it is a combinatorial measure that requires…

Machine Learning · Computer Science 2025-11-05 Rodrigo Mendoza-Smith

The Shapley value provides a principled foundation for data valuation, but exact computation is #P-hard due to the exponential coalition space. Existing accelerations remain global and ignore a structural property of modern predictors: for…

Machine Learning · Computer Science 2026-03-05 Xuan Yang , Hsi-Wen Chen , Ming-Syan Chen , Jian Pei

Reinforcement learning involves agents interacting with an environment to complete tasks. When rewards provided by the environment are sparse, agents may not receive immediate feedback on the quality of actions that they take, thereby…

Multiagent Systems · Computer Science 2022-02-22 Baicen Xiao , Bhaskar Ramasubramanian , Radha Poovendran

With the adoption of machine learning-based solutions in routine clinical practice, the need for reliable interpretability tools has become pressing. Shapley values provide local explanations. The method gained popularity in recent years.…

Methodology · Statistics 2023-06-27 Lucile Ter-Minassian , Sahra Ghalebikesabi , Karla Diaz-Ordaz , Chris Holmes

Reward models (RMs) have become essential for aligning large language models (LLMs), serving as scalable proxies for human evaluation in both training and inference. However, existing RMs struggle on knowledge-intensive and long-form tasks,…

Computation and Language · Computer Science 2025-10-30 Ziyou Hu , Zhengliang Shi , Minghang Zhu , Haitao Li , Teng Sun , Pengjie Ren , Suzan Verberne , Zhaochun Ren