陈清华教授：无标度网络与幂律分布

发布时间：2026-03-26 19:28

陈清华教授：无标度网络与幂律分布

期刊：集智学园

发表日期：2020-09-01

复杂性研究领域的两次争论：1955年至1961年，人工智能之父西蒙与分形之父曼德布罗特关于幂律分布起源的争论；2018年，克劳塞特和巴拉巴西关于真实世界是否广泛存在无标度网络的争论。课程中将揭示二次争论之间千丝万缕的联系。本次讲座将围绕无标度性展开。将介绍何为无标度网络，无标度网络最牛枢纽节点会多大，怎么构造无标度网络用于研究，幂律分布的尖峰胖尾特征以及奇特的期望与方差，幂律分布与Zipf律、80/20法则的渊源，如何进行靠谱的幂律分布参数估计和拟合优度检验等。课程大纲： 1. 无标度网络 2. 幂律分布 3. Zipf律 4. Pareto分布， 80/20法则 5. 幂律分布的估计和检验 6. 回到无标度网络主讲人：陈清华

北京师范大学系统科学学院教授，Arizona State University及New England Complexity Systems Institute访问学者。主要从事非平衡系统理论、复杂性研究及相关理论在社会经济系统中的应用研究工作。擅于人类行为的分析建模，坚持理论与实践相结合。当前的重点关注领域是基于要素流动揭示复杂系统实体关系。个人主页：https://sss.bnu.edu.cn/~chenqinghua/。陈清华老师代表论文，点击即可访问 Siyu Huang, Wensha Gou, Hongbo Cai, Xiaomeng Li, Qinghua Chen. Effects of Regional Trade Agreement to Local and Global Trade Purity Relationships. Complexity. 2020 May 29;2020. Na Ying, Dong Zhou*, Zhangang Han*, Qinghua Chen, Qian Ye, ZG Xue. Rossby Waves Detection in the CO2 and Temperature Multilayer Climate Network. Geophysical Research Letters. 2020 Jan 28;47(2): e2019GL086507. Benji Li, Weiwei Gu, Yahan Lu, Chensheng Wu, Qinghua Chen*. Exploring Scientists’ Research Behaviors Based on LDA//Intelligent Computing-Proceedings of the Computing Conference. Springer, Cham, 2019: 178-189. Kedan Wang, Xiaomeng Li, Xi Wang, Qinghua Chen*, Jianzhang Bao. Exploring the True Relationship Among Countries from Flow Data of International Trade and Migration//International Conference on Complex Systems. Springer, Cham, 2018: 476-485. Rui Hu, Jinzhong Guo, Qinghua Chen*, Tao Zheng. The Psychological Force Model for Lowest Unique Bid Auction. Comput Econ , 2017, 50:655–667 Xiaomeng Li, Hongzhong Xu, Jiawei Chen, Qinghua Chen*, Jiang Zhang & Zengru Di*. Characterizing the International Migration Barriers with a Probabilistic Multilateral Migration Model. Scientific Reports，2016，6: 32522 Qinghua Chen, Zigang Huang, Yougui Wang, Ying-Cheng Lai. Multiagent model and mean field theory of complex auction dynamics. New Journal of Physics. 2015 Sep 2;17(9):093003. Qinghua chen*, Jinzhong Guo, Yufan Liu. A statistical study on Chinese word and character usage in literatures from Tang Dynasty. Journal of Quantitative Linguistics 2012, 19(3): 232-248. 无标度性质经典论文推荐，点击即可访问 Clauset A, Shalizi C R, Newman M E J. Power-law distributions in empirical data[J]. SIAM review, 2009, 51(4): 661-703. Broido, A.D., Clauset, A. Scale-free networks are rare. Nat Commun 10, 1017 (2019). Boccaletti S, Latora V, Moreno Y, et al. Complex networks: Structure and dynamics[J]. Physics reports, 2006, 424(4-5): 175-308. Mitzenmacher M. A brief history of generative models for power law and lognormal distributions[J]. Internet mathematics, 2004, 1(2): 226-251. Adamic L A. Zipf, power-laws, and pareto-a ranking tutorial[J]. Xerox Palo Alto Research Center, Palo Alto, CA, 2000. Gabaix X. Power laws in economics and finance[J]. Annu. Rev. Econ., 2009, 1(1): 255-294. 拓展阅读，点击即可访问 1. 网络科学专题，百科词条 2. 粗看长尾，细辨幂律：跨世纪的无标度网络研究纷争史 3. Love is All You Need | 无标度网络理论之父Barabási回应史上最严重质疑 4. 无标度网络模型开山之作：随机网络中的标度的涌现 5. 最先发现无标度网络的人竟然是他！？ 6. 解读幂律与无标度网络 | 网络科学入门 7. 与网络科学家一起，“集智”学习《巴拉巴西网络科学》