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Cooperative Multi-agent Reinforcement Learning (MARL) has attracted significant attention and played the potential for many real-world applications. Previous arts mainly focus on facilitating the coordination ability from different aspects…

Multiagent Systems · Computer Science 2023-05-24 Lei Yuan , Lihe Li , Ziqian Zhang , Fuxiang Zhang , Cong Guan , Yang Yu

We explore value-based multi-agent reinforcement learning (MARL) in the popular paradigm of centralized training with decentralized execution (CTDE). CTDE has an important concept, Individual-Global-Max (IGM) principle, which requires the…

Machine Learning · Computer Science 2021-10-05 Jianhao Wang , Zhizhou Ren , Terry Liu , Yang Yu , Chongjie Zhang

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…

Machine Learning · Computer Science 2021-11-02 Jianhao Wang , Zhizhou Ren , Beining Han , Jianing Ye , Chongjie Zhang

Recent work, spanning from autonomous vehicle coordination to in-space assembly, has shown the importance of learning collaborative behavior for enabling robots to achieve shared goals. A common approach for learning this cooperative…

Multiagent Systems · Computer Science 2025-02-25 Kartik Nagpal , Dayi Dong , Jean-Baptiste Bouvier , Negar Mehr

One of the challenges for multi-agent reinforcement learning (MARL) is designing efficient learning algorithms for a large system in which each agent has only limited or partial information of the entire system. While exciting progress has…

Machine Learning · Computer Science 2022-02-22 Haotian Gu , Xin Guo , Xiaoli Wei , Renyuan Xu

Data valuation has found various applications in machine learning, such as data filtering, efficient learning and incentives for data sharing. The most popular current approach to data valuation is the Shapley value. While popular for its…

Machine Learning · Computer Science 2023-11-10 Lauren Watson , Zeno Kujawa , Rayna Andreeva , Hao-Tsung Yang , Tariq Elahi , Rik Sarkar

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…

Artificial Intelligence · Computer Science 2025-11-04 Filip Naudot , Tobias Sundqvist , Timotheus Kampik

Model interpretability is one of the most intriguing problems in most of the Machine Learning models, particularly for those that are mathematically sophisticated. Computing Shapley Values are arguably the best approach so far to find the…

Machine Learning · Statistics 2022-04-15 Indranil Basu , Subhadip Maji

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

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…

Machine Learning · Computer Science 2020-03-24 Jinfei Liu

Over the last few years, the Shapley value, a solution concept from cooperative game theory, has found numerous applications in machine learning. In this paper, we first discuss fundamental concepts of cooperative game theory and axiomatic…

Machine Learning · Computer Science 2022-05-27 Benedek Rozemberczki , Lauren Watson , Péter Bayer , Hao-Tsung Yang , Olivér Kiss , Sebastian Nilsson , Rik Sarkar

Numerous works propose post-hoc, model-agnostic explanations for learning to rank, focusing on ordering entities by their relevance to a query through feature attribution methods. However, these attributions often weakly correlate or…

Information Retrieval · Computer Science 2025-02-25 Tanya Chowdhury , Yair Zick , James Allan

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

In multi-agent reinforcement learning (MARL), the Centralized Training with Decentralized Execution (CTDE) framework is pivotal but struggles due to a gap: global state guidance in training versus reliance on local observations in…

Artificial Intelligence · Computer Science 2024-08-26 Pu Feng , Junkang Liang , Size Wang , Xin Yu , Xin Ji , Yiting Chen , Kui Zhang , Rongye Shi , Wenjun Wu

State-of-the-art meta reinforcement learning algorithms typically assume the setting of a single agent interacting with its environment in a sequential manner. A negative side-effect of this sequential execution paradigm is that, as the…

Artificial Intelligence · Computer Science 2019-03-08 Emilio Parisotto , Soham Ghosh , Sai Bhargav Yalamanchi , Varsha Chinnaobireddy , Yuhuai Wu , Ruslan Salakhutdinov

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

Recent Multi-Agent Reinforcement Learning (MARL) literature has been largely focused on Centralized Training with Decentralized Execution (CTDE) paradigm. CTDE has been a dominant approach for both cooperative and mixed environments due to…

Machine Learning · Computer Science 2022-05-31 Vladimir Egorov , Aleksei Shpilman

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

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

Reinforcement learning for multi-step reasoning with large language models (LLMs) typically relies on sparse terminal rewards, which creates a poorly conditioned credit-assignment problem: the final feedback is propagated uniformly across…

Machine Learning · Computer Science 2026-05-26 Fei Ding , Yongkang Zhang , Youwei Wang , Zijian Zeng
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