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人工智能驱动的复杂动态系统表征与建模

Representation and Modeling of Complex Dynamical Systems Empowered by Artificial Intelligence

  • 摘要: 复杂动态系统的表征与建模面临着表现形态错综复杂、内部机理千差万别、先验知识零散破碎等多重挑战。然而,人工智能技术的突破性发展为解决这些难题提供了革新性的解决方案。本研究对复杂动态系统智能建模技术的最新进展进行了系统梳理与回顾,重点在于提出并深入阐释统一表征框架,旨在突破不同复杂场景下的动力学建模壁垒。围绕该框架,本文深入探讨了多种智能建模方法,具体包括随机骨架、拓扑解耦策略、数据自适应的神经常微分过程,网络动力学随机骨架算子以及网络符号回归基础模型。在未来的研究中,通过在统一表征框架下融入多模态数据及知识赋能,再结合控制理论与面向科学发现的实用工具,智能模型将能够更深入、更精准地理解、预测和调控复杂动态系统。这将为科学进步提供强有力支撑,同时在流行病防控、网络舆情治理、复杂性探究等重点领域展现出广阔的应用前景。

     

    Abstract: The representation and modeling of complex system dynamics face multiple challenges, including intricate structural forms, highly diverse internal mechanisms, and fragmented prior knowledge. However, the rapid advancement of artificial intelligence technologies has provided transformative solutions to these difficulties. This article presents a systematic review of the latest progress in intelligent modeling techniques for complex system dynamics, with a particular focus on proposing and elaborating a unified representation framework aimed at overcoming modeling barriers across diverse complex scenarios. Centered around this framework, the article explores a range of intelligent modeling approaches, including stochastic skeletons, topological decoupling strategies, data-adaptive neural ordinary differential processes, stochastic skeleton operators for network dynamics, and foundational models based on symbolic regression for networks. Looking ahead, by integrating the unified representation framework with multimodal data and knowledge, and further combining it with control theory and practical tools for scientific discovery, intelligent models will be capable of achieving deeper, more precise understanding, prediction, and regulation of complex systems. This will not only provide robust support for scientific advancement but also demonstrate broad application potential in key areas such as epidemic control, online public opinion governance, and complexity research.

     

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