非均匀的有限信息扩散函数的探索及应用

英文篇名：Exploration of General Limited Information Diffusion Function and Its Applicaton
中文刊名：应用数学与计算数学学报
英文刊名：Communication on Applied Mathematics and Computation
作者：王巧兰 ; 陆余楚 ; 张晶晶 ; 王永民
英文作者：Wang Qiaolan Lu Yuchu Zhang Jingjing Wang Yongmin Department of Mathematics ; Shanghai University ; Shanghai 200444 ; China
中文关键词：小样本 ; GOIDM ; 信息扩散函数 ; 冠心病 ; McCormack方法
英文关键词：small sample ; GOIDM ; information diffusion function ; heart coronary disease ; McCormack method
出版日期：2006-06-30
机构：上海大学理学院数学系,上海大学理学院数学系,上海大学理学院数学系,上海大学理学院数学系上海,200444,上海,200444,上海,200444,上海,200444
年：2006
期：01
出版单位：应用数学与计算数学学报

摘要

小样本的信息处理和分析一直是金融、信息、地震灾害等众多领域中的热点问题．本文运用一维非均匀的有限信息扩散函数(GIDM)方法对小样本问题进行处理,并通过应用于一个实际问题来进行验证．首先根据非均匀信息扩散选取扩散函数,并利用McCormack方法求得其数值解,进而按照优化的准则优化后与大样本进行比较,取得了较理想的结果．
The information process concerned with small samples is a hot spot in many fields all the time.This paper explores the mechanism of General Limited Information Diffusion Method(GIDM)and applies it to a practical problem,the prevalence rates of coronary heart disease.Finally the optimization problem of the parameter in the diffusion function is solved according to the optimization principles and a better result is achieved.

引文

[1]Chongfu Huang.Information Diffusion Techniques and Small-Sample Problem.International Journal of Information Technology & Decision Making,World Scientific Publishing Co.,2002,1(2):229～249.
    [2]Hanji Shang,Yuchu Lu,Xiyun Wu,Ye Shen.The Choice of Information Diffusion Function with Optimum Parameters.Proceedings of Joint 9~(th) IFSA World Congress (?)20~(th) NAFIPS International Conference,2001.
    [3]Hanji Shang,Yuchu Lu,Ping Jin,Li Zhang.Information Diffusion Method in Risk Analysis.Computational Intelligent Systems for Applied Research,Proceedings of the 5~(th) International FLINS Conference,World Scientific Publishing Co Pte.Ltd.,Singapore,2002,189～197.
    [4]John D.Anderson,JR.Computational Fluid Dynamics (The Basics with Applications).