时空维度网络信息传播PDE建模与应用  

PDE modeling and applications of spatiotemporal network information propagation

作　　者：吴佳铭 王然[1] 纪鑫彤 闫磊凡[1] 康彤[1] WU Jiaming;WANG Ran;JI Xintong;YAN Leifan;KANG Tong(School of Data Science and Intelligent Media,Communication University of China,Beijing 100024,China)

机构地区：[1]中国传媒大学数据科学与智能媒体学院,北京100024

出　　处：《信息传播研究》2025年第1期31-40,共10页Information and Communication Research

基　　金：国家自然科学基金面上项目(42074108);中央高校基础研究基金项目(CUC24GG06)。

摘　　要：时空维度的网络信息传播动力学研究近年来受到广泛关注,其核心在于揭示信息传播过程中的时空特性及其动力学机制。本文系统综述了相关领域的研究进展,从理论模型的构建、传播距离的量化描述、反问题理论的探索以及数值模拟与实验验证等多个方面展开分析。本文重点介绍了偏微分方程在刻画信息传播时空动态特性中的应用,归纳了不同传播场景下的距离度量方法及其适用性,梳理了数值模拟技术的最新进展,并总结了反问题技术在参数识别与数据补全中的关键作用。通过对现有研究的系统回顾,本文旨在厘清时空传播动力学的理论框架与研究前沿,为进一步探索复杂网络信息传播机制及其应用提供理论与方法支持。The dynamics of spatiotemporal network information propagation have garnered significant attention in recent years,focusing on uncovering the spatiotemporal characteristics and underlying mechanisms of information dissemination.In this paper the research progress in this field was systematically reviewed,analyzing aspects such as theoretical model construction,quantitative descriptions of propagation distance,exploration of inverse problem theories,as well as numerical simulations and experimental validations.Particular emphasis was placed on the application of partial differential equations in characterizing the spatiotemporal dynamics of information propagation.In the study various distance measurement methods across different propagation scenarios and their applicability were summarized,the latest advancements in numerical simulation techniques were highlighted,and the critical role of inverse problem techniques in parameter identification and data completion were discussed.By providing a comprehensive review of existing research,in this paper it is aimed to clarify the theoretical framework and research frontiers of spatiotemporal propagation dynamics,offering theoretical and methodological support for further exploration of complex network information dissemination mechanisms and applications.

关 键 词：传播动力学 偏微分方程 距离度量 反问题 

分 类 号：O193[理学—数学] G206[理学—基础数学]