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Asymptotic properties of distributed social sampling algorithm

文献类型：期刊论文

作者Liu, Qian1,3; He, Xingkang2; Fang, Haitao1,3
刊名SCIENCE CHINA-INFORMATION SCIENCES
出版日期2020
卷号63期号:1页码:15
关键词social networks opinion formation social sampling stochastic approximation random networks asymptotic normality
ISSN号1674-733X
DOI10.1007/s11432-019-9890-5
英文摘要Social sampling is a novel randomized message passing protocol inspired by social communication for opinion formation in social networks. In a typical social sampling algorithm, each agent holds a sample from the empirical distribution of social opinions at initial time, and it collaborates with other agents in a distributed manner to estimate the initial empirical distribution by randomly sampling a message from current distribution estimate. In this paper, we focus on analyzing the theoretical properties of the distributed social sampling algorithm over random networks. First, we provide a framework based on stochastic approximation to study the asymptotic properties of the algorithm. Then, under mild conditions, we prove that the estimates of all agents converge to a common random distribution, which is composed of the initial empirical distribution and the accumulation of quantized error. Besides, by tuning algorithm parameters, we prove the strong consistency, namely, the distribution estimates of agents almost surely converge to the initial empirical distribution. Furthermore, the asymptotic normality of estimation error generated by distributed social sample algorithm is addressed. Finally, we provide a numerical simulation to validate the theoretical results of this paper.
资助项目National Key Research and Development Program of China[2016YFB0901900] ; National Natural Science Foundation of China[61573345]
WOS研究方向Computer Science ; Engineering
语种英语
WOS记录号WOS:000517247500001
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50876]  
专题中国科学院数学与系统科学研究院
通讯作者He, Xingkang
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, ACCESS Linnaeus Ctr, SE-10044 Stockholm, Sweden
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Qian,He, Xingkang,Fang, Haitao. Asymptotic properties of distributed social sampling algorithm[J]. SCIENCE CHINA-INFORMATION SCIENCES,2020,63(1):15.
APA Liu, Qian,He, Xingkang,&Fang, Haitao.(2020).Asymptotic properties of distributed social sampling algorithm.SCIENCE CHINA-INFORMATION SCIENCES,63(1),15.
MLA Liu, Qian,et al."Asymptotic properties of distributed social sampling algorithm".SCIENCE CHINA-INFORMATION SCIENCES 63.1(2020):15.

入库方式： OAI收割

来源：数学与系统科学研究院

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