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Mean field games formalize dynamic games with a continuum of players and explicit interaction where the players can have heterogeneous states. As they additionally yield approximate equilibria of corresponding $N$-player games, they are of…

最优化与控制 · 数学 2020-01-09 Berenice Anne Neumann

Natural policy gradient (NPG) and its variants are widely-used policy search methods in reinforcement learning. Inspired by prior work, a new NPG variant coined NPG-HM is developed in this paper, which utilizes the Hessian-aided momentum…

机器学习 · 计算机科学 2024-01-23 Jie Feng , Ke Wei , Jinchi Chen

Policy gradient methods are among the most effective methods for large-scale reinforcement learning, and their empirical success has prompted several works that develop the foundation of their global convergence theory. However, prior works…

机器学习 · 计算机科学 2020-12-25 Junzi Zhang , Jongho Kim , Brendan O'Donoghue , Stephen Boyd

Mean-field games (MFGs) are models for large populations of competing rational agents that seek to optimize a suitable functional. In the case of congestion, this functional takes into account the difficulty of moving in high-density areas.…

偏微分方程分析 · 数学 2017-10-05 David Evangelista , Rita Ferreira , Diogo A. Gomes , Levon Nurbekyan , Vardan Voskanyan

Scene Graph Generation (SGG) structures visual scenes as graphs of objects and their relations. While Multimodal Large Language Models (MLLMs) have advanced end-to-end SGG, current methods are hindered by both a lack of task-specific…

计算机视觉与模式识别 · 计算机科学 2026-04-24 Jiaye Feng , Qixiang Yin , Yuankun Liu , Tong Mo , Weiping Li

Many real-world data can be represented as heterogeneous graphs with different types of nodes and connections. Heterogeneous graph neural network model aims to embed nodes or subgraphs into low-dimensional vector space for various…

人工智能 · 计算机科学 2024-12-24 Xinjun Cai , Jiaxing Shang , Fei Hao , Dajiang Liu , Linjiang Zheng

In this paper, we study a large population game with heterogeneous dynamics and cost functions solving a consensus problem. Moreover, the agents have communication constraints which appear as: (1) an Additive-White Gaussian Noise (AWGN)…

系统与控制 · 电气工程与系统科学 2022-08-26 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Tamer Başar

Optimization of parameterized policies for reinforcement learning (RL) is an important and challenging problem in artificial intelligence. Among the most common approaches are algorithms based on gradient ascent of a score function…

This paper presents a deep learning framework that is capable of solving partially observable locomotion tasks based on our novel interpretation of Recurrent Deterministic Policy Gradient (RDPG). We study on bias of sampled error measure…

人工智能 · 计算机科学 2020-02-11 Doo Re Song , Chuanyu Yang , Christopher McGreavy , Zhibin Li

Post-deployment machine learning algorithms often influence the environments they act in, and thus shift the underlying dynamics that the standard reinforcement learning (RL) methods ignore. While designing optimal algorithms in this…

机器学习 · 计算机科学 2026-02-03 Debabrota Basu , Udvas Das , Brahim Driss , Uddalak Mukherjee

We present a systematic and reliable methodology, termed hierarchical mean-field theory (HMFT), to study and predict the behavior of strongly coupled many-particle systems. HMFT is a simple approximation, based upon group theoretical…

强关联电子 · 物理学 2007-05-23 Gerardo Ortiz , Cristian D. Batista

Mean Field Games (MFGs) have the ability to handle large-scale multi-agent systems, but learning Nash equilibria in MFGs remains a challenging task. In this paper, we propose a deep reinforcement learning (DRL) algorithm that achieves…

计算机科学与博弈论 · 计算机科学 2024-03-07 Zida Wu , Mathieu Lauriere , Samuel Jia Cong Chua , Matthieu Geist , Olivier Pietquin , Ankur Mehta

We formulate the MFG limit for $N$ interacting agents with a common noise as a single quasi-linear deterministic infinite-dimensional partial differential second order backward equation. We prove that any its (regular enough) solution…

概率论 · 数学 2022-04-21 Vassili Kolokoltsov , Marianna Troeva

We present the development and analysis of a reinforcement learning (RL) algorithm designed to solve continuous-space mean field game (MFG) and mean field control (MFC) problems in a unified manner. The proposed approach pairs the…

最优化与控制 · 数学 2025-03-07 Andrea Angiuli , Jean-Pierre Fouque , Ruimeng Hu , Alan Raydan

This paper discusses the control of coherent structures in turbulent flows, which has broad applications among complex systems in science and technology. Mean field games have been proved a powerful tool and are proposed here to control the…

最优化与控制 · 数学 2024-01-22 Yuan Gao , Di Qi

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability via dense, all-to-all interactions. In this work, we bridge…

多智能体系统 · 计算机科学 2026-01-30 Tobias Schmidt , Kai Cui

Graph Retrieval-Augmented Generation (GraphRAG) has emerged as a promising paradigm that organizes external knowledge into structured graphs of entities and relations, enabling large language models (LLMs) to perform complex reasoning…

计算与语言 · 计算机科学 2026-04-14 Jinyoung Park , Sanghyeok Lee , Omar Zia Khan , Hyunwoo J. Kim , Joo-Kyung Kim

Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists to approximate large games by a stylized game model with a continuum of players. The approach has been…

计算机科学与博弈论 · 计算机科学 2014-04-08 Hamidou Tembine

Coordinating large populations of interacting agents is a central challenge in multi-agent reinforcement learning (MARL), where the size of the joint state-action space scales exponentially with the number of agents. Mean-field methods…

机器学习 · 计算机科学 2026-02-19 Emile Anand , Richard Hoffmann , Sarah Liaw , Adam Wierman

Mean-field reinforcement learning (MF-RL) scales multi-agent RL to large populations by reducing each agent's dependence on others to a single summary statistic -- the mean action. However, this reduction requires every agent to act at…

多智能体系统 · 计算机科学 2026-02-23 Shan Yang