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This paper proposes a novel approach to explain the predictions made by data-driven methods. Since such predictions rely heavily on the data used for training, explanations that convey information about how the training data affects the…

机器学习 · 统计学 2022-12-09 Andreas Brandsæter , Ingrid K. Glad

A common approach for defining a reward function for Multi-objective Reinforcement Learning (MORL) problems is the weighted sum of the multiple objectives. The weights are then treated as design parameters dependent on the expertise (and…

机器学习 · 计算机科学 2020-03-04 Arpan Kusari , Jonathan P. How

Shapley value is a widely used tool in explainable artificial intelligence (XAI), as it provides a principled way to attribute contributions of input features to model outputs. However, estimation of Shapley value requires capturing…

机器学习 · 计算机科学 2025-11-05 Cheng Lu , Jiusun Zeng , Yu Xia , Jinhui Cai , Shihua Luo

In spite of increased attention on explainable machine learning models, explaining multi-output predictions has not yet been extensively addressed. Methods that use Shapley values to attribute feature contributions to the decision making…

机器学习 · 计算机科学 2023-03-31 Célia Wafa Ayad , Thomas Bonnier , Benjamin Bosch , Jesse Read

With origins in game theory, probabilistic values like Shapley values, Banzhaf values, and semi-values have emerged as a central tool in explainable AI. They are used for feature attribution, data attribution, data valuation, and more.…

机器学习 · 计算机科学 2026-01-14 R. Teal Witter , Yurong Liu , Christopher Musco

M\"obius inversion and Shapley values are two mathematical tools for characterizing and decomposing higher-order structure in complex systems. The former defines higher-order interactions as discrete derivatives over a partial order; the…

计算机科学与博弈论 · 计算机科学 2026-04-23 Patrick Forré , Abel Jansma

Cohort Shapley value is a model-free method of variable importance grounded in game theory that does not use any unobserved and potentially impossible feature combinations. We use it to evaluate algorithmic fairness, using the well known…

机器学习 · 计算机科学 2021-05-20 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

Markov games model interactions among multiple players in a stochastic, dynamic environment. Each player in a Markov game maximizes its expected total discounted reward, which depends upon the policies of the other players. We formulate a…

计算机科学与博弈论 · 计算机科学 2023-09-11 Shenghui Chen , Yue Yu , David Fridovich-Keil , Ufuk Topcu

Guiding the policy of multi-agent reinforcement learning to align with human common sense is a difficult problem, largely due to the complexity of modeling common sense as a reward, especially in complex and long-horizon multi-agent tasks.…

人工智能 · 计算机科学 2025-02-20 Hao Ma , Shijie Wang , Zhiqiang Pu , Siyao Zhao , Xiaolin Ai

This paper introduces single-partition adaptive Q-learning (SPAQL), an algorithm for model-free episodic reinforcement learning (RL), which adaptively partitions the state-action space of a Markov decision process (MDP), while…

机器学习 · 计算机科学 2020-07-15 João Pedro Araújo , Mário Figueiredo , Miguel Ayala Botto

We introduce a new Shapley value approach for global sensitivity analysis and machine learning explainability. The method is based on the first-order partial derivatives of the underlying function. The computational complexity of the method…

机器学习 · 计算机科学 2023-03-28 Hui Duan , Giray Ökten

Shapley values originated in cooperative game theory but are extensively used today as a model-agnostic explanation framework to explain predictions made by complex machine learning models in the industry and academia. There are several…

机器学习 · 统计学 2024-04-15 Lars Henry Berge Olsen , Ingrid Kristine Glad , Martin Jullum , Kjersti Aas

We show that any cooperative game can be represented by an assignment of costly facilities to players, in which it is intuitively obvious how to allocate the total cost in an equitable manner. This equitable solution turns out to be the…

理论经济学 · 经济学 2024-01-19 Pradeep Dubey

We consider two player quadratic games in a cooperative framework known as social value orientation, motivated by the need to account for complex interactions between humans and autonomous agents in dynamical systems. Social value…

最优化与控制 · 数学 2024-11-14 Dan Calderone , Meeko Oishi

We argue that using the Shapley value of cooperative game theory as the scheme for risk allocation among non-orthogonal risk factors is a natural way of interpreting the contribution made by each of such factors to overall portfolio risk.…

计算金融 · 定量金融 2021-03-10 Patrick S. Hagan , Andrew Lesniewski , Georgios E. Skoufis , Diana E. Woodward

Recently, deep multiagent reinforcement learning (MARL) has become a highly active research area as many real-world problems can be inherently viewed as multiagent systems. A particularly interesting and widely applicable class of problems…

多智能体系统 · 计算机科学 2020-02-11 Yaodong Yang , Jianye Hao , Guangyong Chen , Hongyao Tang , Yingfeng Chen , Yujing Hu , Changjie Fan , Zhongyu Wei

In fully cooperative multi-agent reinforcement learning (MARL) settings, environments are highly stochastic due to the partial observability of each agent and the continuously changing policies of other agents. To address the above issues,…

多智能体系统 · 计算机科学 2023-06-06 Wei-Fang Sun , Cheng-Kuang Lee , Simon See , Chun-Yi Lee

Learning in stochastic games is arguably the most standard and fundamental setting in multi-agent reinforcement learning (MARL). In this paper, we consider decentralized MARL in stochastic games in the non-asymptotic regime. In particular,…

计算机科学与博弈论 · 计算机科学 2021-12-17 Zuguang Gao , Qianqian Ma , Tamer Başar , John R. Birge

While multi-agent reinforcement learning (MARL) has produced numerous algorithms that converge to Nash or related equilibria, such equilibria are often non-unique and can exhibit widely varying efficiency. This raises a fundamental…

计算机科学与博弈论 · 计算机科学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Model-based reinforcement learning (MBRL) has recently gained immense interest due to its potential for sample efficiency and ability to incorporate off-policy data. However, designing stable and efficient MBRL algorithms using rich…

机器学习 · 计算机科学 2021-03-12 Aravind Rajeswaran , Igor Mordatch , Vikash Kumar