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Distributed consensus in the Wasserstein metric space of probability measures on the real line is introduced in this work. Convergence of each agent's measure to a common measure is proven under a weak network connectivity condition. The…

最优化与控制 · 数学 2021-10-04 Adrian N. Bishop , Arnaud Doucet

The consensus problem -- achieving agreement among a network of agents -- is a central theme in both theory and applications. Recently, this problem has been extended from Euclidean spaces to the space of probability measures, where the…

最优化与控制 · 数学 2025-10-01 Pilgyu Jung , Yoon Mo Jung

We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of consensus, polarization, or fragmentation. Existing models…

Beliefs inform the behavior of forward-thinking agents in complex environments. Recently, sequential Bayesian inference has emerged as a mechanism to study belief formation among agents adapting to dynamical conditions. However, we lack…

适应与自组织系统 · 物理学 2023-11-08 Jordan T Kemp , Max-Olivier Hongler , Olivier Gallay

Learning multi-agent dynamics is a core AI problem with broad applications in robotics and autonomous driving. While most existing works focus on deterministic prediction, producing probabilistic forecasts to quantify uncertainty and assess…

机器学习 · 计算机科学 2023-05-22 Sophia Sun , Robin Walters , Jinxi Li , Rose Yu

This paper studies a class of multiagent stochastic optimization problems where the objective is to minimize the expected value of a function which depends on a random variable. The probability distribution of the random variable is unknown…

最优化与控制 · 数学 2018-12-18 Ashish Cherukuri , Jorge Cortes

In decision support systems, it is essential to get a candidate solution fast, even if it means resorting to an approximation. This constraint introduces a scalability requirement with regard to the kind of heuristics which can be used in…

多智能体系统 · 计算机科学 2014-05-22 D. Krzywicki , Ł. Faber , A. Byrski , M. Kisiel-Dorohinicki

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

概率论 · 数学 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

This paper presents a consensus algorithm for a multi-agent system where each agent has access to its imperfect own state and neighboring state measurements. The measurements are subject to deterministic disturbances and the proposed…

系统与控制 · 计算机科学 2014-09-22 Mohammad Zamani , Iman Shames , Valery Ugrinovskii

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

物理与社会 · 物理学 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza

We present a finite dimensional variational model for multi-agent path-planning in which a group of agents traverses from initial positions to a target distribution in a moving medium. The model is derived using the agent-based formulation…

最优化与控制 · 数学 2026-02-23 Christina Frederick , Haomin Zhou

We introduce a 2-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of…

统计力学 · 物理学 2009-11-10 P. L. Krapivsky , S. Redner

Value-alignment in normative multi-agent systems is used to promote a certain value and to ensure the consistent behaviour of agents in autonomous intelligent systems with human values. However, the current literature is limited to the…

多智能体系统 · 计算机科学 2023-10-13 Maha Riad , Vinicius de Carvalho , Fatemeh Golpayegani

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

物理与社会 · 物理学 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

偏微分方程分析 · 数学 2019-07-12 Marco Morandotti , Francesco Solombrino

Value-alignment in normative multi-agent systems is used to promote a certain value and to ensure the consistent behavior of agents in autonomous intelligent systems with human values. However, the current literature is limited to…

多智能体系统 · 计算机科学 2023-05-15 Maha Riad , Vinicius Renan de Carvalho , Fatemeh Golpayegani

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

多智能体系统 · 计算机科学 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

We consider the problem of distributedly estimating Gaussian processes in multi-agent frameworks. Each agent collects few measurements and aims to collaboratively reconstruct a common estimate based on all data. Agents are assumed with…

多智能体系统 · 计算机科学 2018-05-11 Gianluigi Pillonetto , Luca Schenato , Damiano Varagnolo

We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces…

最优化与控制 · 数学 2024-04-09 Antonio Terpin , Nicolas Lanzetti , Florian Dörfler

It is known that individual opinions on different policy issues often align to a dominant ideological dimension (e.g. "left" vs. "right") and become increasingly polarized. We provide an agent-based model that reproduces these two stylized…

物理与社会 · 物理学 2020-10-28 Simon Schweighofer , David Garcia , Frank Schweitzer
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