题目：Robust Fragmentation Modeling of Hegselmann-Krause-Type Dynamics
In opinion dynamics, how to model the enduring fragmentation phenomenon (disagreement, cleavage, and polarization) of social opinions has long possessed a central position. It is widely known that the confidence-based opinion dynamics provide an acceptant mechanism to produce fragmentation phenomenon. In this study, taking the famous confidence-based Hegselmann-Krause (HK) model, we examine the robustness of the fragmentation coming from HK dynamics and its variations with stubborn and prejudiced agents against random noise. The theoretical results in this paper explicitly reveal that the well-appearing fragmentation of HK dynamics and its homogeneous variations finally vanishes in the presence of arbitrarily tiny noise, while only the HK model with heterogenous prejudices displays a solid cleavage in noisy environment.
Wei Su received his B.S. degree from Beijing Jiaotong University (BJTU), China, in 2008, and his M.S. and PH.D. degrees form University of Chinese Academy of Sciences, China, in 2011 and 2015 respectively.
From 2015 to 2017, he was a postdoc with Beijing Jiaotong University. He is currently a lecture with School of Automation and Electrical Engineering, University of Science and Technology Beijing. His current research interests include complex networks, robustness of complex systems, and machine learning.