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This paper considers a game-theoretic framework for distributed machine learning problems over networks where the information acquisition at a node is modeled as a rational choice of a player. In the proposed game, players decide both the…

计算机科学与博弈论 · 计算机科学 2022-10-28 Shutian Liu , Tao Li , Quanyan Zhu

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

最优化与控制 · 数学 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We consider online no-regret learning in unknown games with bandit feedback, where each player can only observe its reward at each time -- determined by all players' current joint action -- rather than its gradient. We focus on the class of…

机器学习 · 计算机科学 2024-04-01 Wenjia Ba , Tianyi Lin , Jiawei Zhang , Zhengyuan Zhou

Selecting the most suitable algorithm for a given problem instance remains a challenging task, particularly in online or dynamic environments where problem characteristics evolve over time. Relying solely on instantaneous performance…

多智能体系统 · 计算机科学 2026-05-26 Jayprakash S. Nair , Jimson Mathew , Shivashankar B. Nair

The key to robot-assisted rehabilitation lies in the design of the human-machine interface, which must accommodate the needs of both patients and machines. Current interface designs primarily focus on machine control algorithms, often…

人工智能 · 计算机科学 2025-03-11 Steven W. Su , Yaqi Li , Kairui Guo , Rob Duffield

Solving Nash equilibrium is the key challenge in normal-form games with large strategy spaces, where open-ended learning frameworks offer an efficient approach. In this work, we propose an innovative unified open-ended learning framework…

计算机科学与博弈论 · 计算机科学 2024-03-25 Yudong Hu , Haoran Li , Congying Han , Tiande Guo , Mingqiang Li , Bonan Li

In this paper, we propose a numerical methodology for finding the closed-loop Nash equilibrium of stochastic delay differential games through deep learning. These games are prevalent in finance and economics where multi-agent interaction…

最优化与控制 · 数学 2023-07-14 Robert Balkin , Hector D. Ceniceros , Ruimeng Hu

In this work, we investigate the problem of simultaneously learning and controlling a system subject to adversarial choices of disturbances and system parameters. We study the problem for a scalar system with $l_\infty$-norm bounded…

最优化与控制 · 数学 2018-12-31 Dimitar Ho , Nikolai Matni , John C. Doyle

We consider the problem of learning Nash equilibrial policies for two-player risk-sensitive collision-avoiding interactions. Solving the Hamilton-Jacobi-Isaacs equations of such general-sum differential games in real time is an open…

机器人学 · 计算机科学 2025-03-21 Lei Zhang , Siddharth Das , Tanner Merry , Wenlong Zhang , Yi Ren

A framework is introduced for actively and adaptively solving a sequence of machine learning problems, which are changing in bounded manner from one time step to the next. An algorithm is developed that actively queries the labels of the…

机器学习 · 计算机科学 2018-05-31 Yuheng Bu , Jiaxun Lu , Venugopal V. Veeravalli

This is an initial manuscript that presents the basic idea of "slightly altruistic Nash equilibrium", "bi-layer game topology", "rolling horizon target selection". This manuscript is just used for peer discussion and joint Ph.D. application…

系统与控制 · 电气工程与系统科学 2022-11-14 Dongting Li

This paper considers the problem of designing optimal algorithms for reinforcement learning in two-player zero-sum games. We focus on self-play algorithms which learn the optimal policy by playing against itself without any direct…

机器学习 · 计算机科学 2020-07-15 Yu Bai , Chi Jin , Tiancheng Yu

We show by counterexample that policy-gradient algorithms have no guarantees of even local convergence to Nash equilibria in continuous action and state space multi-agent settings. To do so, we analyze gradient-play in N-player general-sum…

机器学习 · 计算机科学 2019-12-18 Eric Mazumdar , Lillian J. Ratliff , Michael I. Jordan , S. Shankar Sastry

High sensitivity of neural architecture search (NAS) methods against their input such as step-size (i.e., learning rate) and search space prevents practitioners from applying them out-of-the-box to their own problems, albeit its purpose is…

机器学习 · 计算机科学 2019-05-22 Youhei Akimoto , Shinichi Shirakawa , Nozomu Yoshinari , Kento Uchida , Shota Saito , Kouhei Nishida

Nash equilibrium is a key concept in game theory fundamental for elucidating the equilibrium state of strategic interactions, finding applications in diverse fields such as economics, political science, and biology. However, the Nash…

计算机科学与博弈论 · 计算机科学 2024-04-02 Elie Eshoa , Ali R. Zomorrodi

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

系统与控制 · 电气工程与系统科学 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

Multi-agent policy-gradient methods have been shown to converge locally near stable Nash equilibria. Local convergence, however, does not determine which equilibrium is reached. We study this question through basin-entry probability with…

机器学习 · 计算机科学 2026-05-19 Yevhen Shcherbinin , Arina Redina , Maxim Kalpin , Vlad Kochetov

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

系统与控制 · 电气工程与系统科学 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

Fine-tuning large language models (LLMs) with Low-Rank adaption (LoRA) is widely acknowledged as an effective approach for continual learning for new tasks. However, it often suffers from catastrophic forgetting when dealing with multiple…

计算与语言 · 计算机科学 2024-10-01 Jialin Liu , Jianhua Wu , Jie Liu , Yutai Duan