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Reinforcement learning agents can achieve super-human performance in complex decision-making tasks, but their behaviour is often difficult to understand and explain. This lack of explanation limits deployment, especially in safety-critical…

机器学习 · 计算机科学 2025-08-01 Daniel Beechey , Thomas M. S. Smith , Özgür Şimşek

Measuring contributions is a classical problem in cooperative game theory where the Shapley value is the most well-known solution concept. In this paper, we establish the convergence property of the Shapley value in parametric Bayesian…

机器学习 · 计算机科学 2022-06-15 Lucas Agussurja , Xinyi Xu , Bryan Kian Hsiang Low

In user-agent interaction scenarios such as recommendation, brainstorming, and code suggestion, Large Language Models (LLMs) often generate sets of candidate recommendations where the objective is to maximize the collective utility of the…

人工智能 · 计算机科学 2026-04-01 Rui Ai , Yu Pan , David Simchi-Levi , Chonghuan Wang

Collaborative machine learning enables multiple data owners to jointly train models for improved predictive performance. However, ensuring incentive compatibility and fair contribution-based rewards remains a critical challenge. Prior work…

计算机科学与博弈论 · 计算机科学 2025-10-16 Björn Filter , Ralf Möller , Özgür Lütfü Özçep

"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…

机器学习 · 计算机科学 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

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…

人工智能 · 计算机科学 2025-11-04 Filip Naudot , Tobias Sundqvist , Timotheus Kampik

Following the original interpretation of the Shapley value (Shapley, 1953a) as a priori evaluation of the prospects of a player in a multi-person interaction situation, we propose a group value, which we call the Shapley group value, as a…

最优化与控制 · 数学 2014-12-18 Ramón Flores , Elisenda Molina , Juan Tejada

Value factorization is a popular and promising approach to scaling up multi-agent reinforcement learning in cooperative settings, which balances the learning scalability and the representational capacity of value functions. However, the…

机器学习 · 计算机科学 2021-11-02 Jianhao Wang , Zhizhou Ren , Beining Han , Jianing Ye , Chongjie Zhang

The Shapley value (SV) and Least core (LC) are classic methods in cooperative game theory for cost/profit sharing problems. Both methods have recently been proposed as a principled solution for data valuation tasks, i.e., quantifying the…

机器学习 · 计算机科学 2022-04-08 Tianhao Wang , Yu Yang , Ruoxi Jia

We investigate the distribution of the well-studied Shapley--Shubik values in weighted voting games where the agents are stochastically determined. The Shapley--Shubik value measures the voting power of an agent, in typical collective…

计算机科学与博弈论 · 计算机科学 2016-01-26 Yuval Filmus , Joel Oren , Kannan Soundararajan

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

Variable selection or importance measurement of input variables to a machine learning model has become the focus of much research. It is no longer enough to have a good model, one also must explain its decisions. This is why there are so…

机器学习 · 计算机科学 2023-08-01 Vincent Lemaire , Fabrice Clérot , Marc Boullé

Explainable artificial intelligence (XAI) is essential for trustworthy machine learning (ML), particularly in high-stakes domains such as healthcare and finance. Shapley value (SV) methods provide a principled framework for feature…

机器学习 · 统计学 2025-10-03 Wangxuan Fan , Siqi Li , Doudou Zhou , Yohei Okada , Chuan Hong , Molei Liu , Nan Liu

The Shapley value (SV) is a prevalent approach of allocating credit to machine learning (ML) entities to understand black box ML models. Enriching such interpretations with higher-order interactions is inevitable for complex systems, where…

机器学习 · 计算机科学 2025-01-17 Fabian Fumagalli , Maximilian Muschalik , Patrick Kolpaczki , Eyke Hüllermeier , Barbara Hammer

Centralized Training with Decentralized Execution (CTDE) has been a popular paradigm in cooperative Multi-Agent Reinforcement Learning (MARL) settings and is widely used in many real applications. One of the major challenges in the training…

人工智能 · 计算机科学 2022-01-25 Jiahui Li , Kun Kuang , Baoxiang Wang , Furui Liu , Long Chen , Fei Wu , Jun Xiao

Game-theoretic formulations of feature importance have become popular as a way to "explain" machine learning models. These methods define a cooperative game between the features of a model and distribute influence among these input elements…

人工智能 · 计算机科学 2020-07-01 I. Elizabeth Kumar , Suresh Venkatasubramanian , Carlos Scheidegger , Sorelle Friedler

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:…

We study the computation of approximate pure Nash equilibria in Shapley value (SV) weighted congestion games, introduced in [19]. This class of games considers weighted congestion games in which Shapley values are used as an alternative (to…

计算机科学与博弈论 · 计算机科学 2017-11-28 Matthias Feldotto , Martin Gairing , Grammateia Kotsialou , Alexander Skopalik

The problem of explaining the behavior of deep neural networks has recently gained a lot of attention. While several attribution methods have been proposed, most come without strong theoretical foundations, which raises questions about…

机器学习 · 计算机科学 2019-06-24 Marco Ancona , Cengiz Öztireli , Markus Gross

Reinforcement learning has been successful both empirically and theoretically in single-agent settings, but extending these results to multi-agent reinforcement learning in general-sum Markov games remains challenging. This paper studies…

机器学习 · 计算机科学 2026-04-07 Narim Jeong , Donghwan Lee