arXiv:2508.12314cs.MAcs.AI2025-08被引 1

用物理模型模拟异构AI智能体协同,揭示协作背后的同步规律。

Synchronization Dynamics of Heterogeneous, Collaborative Multi-Agent AI Systems

  • 将AI智能体建模为耦合振子,结合相位与振幅动态描述协作行为。
  • 耦合强度增强可克服能力差异,实现稳定同步,适用于真实协作场景。
  • 连接人类思维链推理与群体智能,适合研究多智能体系统设计者。

本文提出一种跨学科框架,将同步理论与多智能体人工智能系统相结合,通过改进的Kuramoto模型描述异构AI智能体在复杂任务执行中的集体动态。将智能体视为具有相位和振幅动力学的耦合振荡器,捕捉其专业化、影响力及通信特性。引入序参数量化协调程度,揭示耦合强度、智能体多样性与网络拓扑对涌现集体行为的影响。进一步建立思维链提示(Chain-of-Thought prompting)与同步现象之间的形式对应关系,统一人类式迭代求解与群体智能。在全连接与确定性无标度网络上进行大量仿真,表明增强耦合可促进鲁棒同步,即使在异构能力下仍有效。该物理启发方法为设计、分析与优化可扩展、自适应且可解释的多智能体系统提供了严格的数学基础。本工作为原则性协调代理型AI开辟路径,并为未来融合学习动态与自适应网络架构奠定基础,以提升系统鲁棒性与效率。

原文摘要 · Abstract (English)

We present a novel interdisciplinary framework that bridges synchronization theory and multi-agent AI systems by adapting the Kuramoto model to describe the collective dynamics of heterogeneous AI agents engaged in complex task execution. By representing AI agents as coupled oscillators with both phase and amplitude dynamics, our model captures essential aspects of agent specialization, influence, and communication within networked systems. We introduce an order parameter to quantify the degree of coordination and synchronization, providing insights into how coupling strength, agent diversity, and network topology impact emergent collective behavior. Furthermore, we formalize a detailed correspondence between Chain-of-Thought prompting in AI reasoning and synchronization phenomena, unifying human-like iterative problem solving with emergent group intelligence. Through extensive simulations on all-to-all and deterministic scale-free networks, we demonstrate that increased coupling promotes robust synchronization despite heterogeneous agent capabilities, reflecting realistic collaborative AI scenarios. Our physics-informed approach establishes a rigorous mathematical foundation for designing, analyzing, and optimizing scalable, adaptive, and interpretable multi-agent AI systems. This work opens pathways for principled orchestration of agentic AI and lays the groundwork for future incorporation of learning dynamics and adaptive network architectures to further enhance system resilience and efficiency.

多智能体同步理论协同智能动力学建模

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