作者机构：
[廖基定] School of Mathematics and Physics, South China University, Hengyang 421001, China;[杨刚] Department of Information, Hunan University of Commerce, Changsha 410205, China;[吴锦标; 刘再明] School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China
通讯机构：
School of Mathematics and Physics, South China University, China
作者机构：
[廖基定; 刘再明] School of Mathematical Science and Computing Technology, Central South Univ, Changsha, Hunan 410075, China;[廖基定] School of Mathematics and Science, Univ of South China, Hengyang, Hunan 421001, China
通讯机构：
School of Mathematical Science and Computing Technology, Central South Univ, China
作者机构：
[唐志刚; 杨炳儒; 杨珺] School of Information Engineering, Univ. of Science and Technology Beijing, Beijing 100083, China;[唐志刚] School of Mathematics and Physics, Univ. of South China, Hengyang 421001, China
通讯机构：
School of Information Engineering, Univ. of Science and Technology Beijing, China
关键词：
数据挖掘;离群点;高维数据集;马尔可夫链;加权无向图
摘要：
提出了一种基于马尔可夫链的离群点检测（outlier detection algorithms based on Markov chain,MRKFOD）算法。该算法把基本数据集看作一个加权无向图,数据集中的每个数据表示一个节点,用每条加权边表示节点之间的相似度;形成一个邻接矩阵,把邻接矩阵当作马尔可夫链中的概率转移矩阵;寻求概率转移矩阵的主要特征向量;把每个节点的主要特征向量值作为每个数据的离群度。实验结果表明,该算法与其他高维离群点挖掘算法相比,在效率及有效处理的维数方面均有显著提高。
摘要：
In this paper, by making use of the calculous technique and some results of the impulsive differential inequality, oscillatory properties of the solutions of certain nonlinear impulsive delay hyperbolic partial differential equations with nonlinear diffusion coefficient are investigated. Sufficient conditions for oscillations of such equations are obtained.
作者机构：
[徐根; 肖建清; 蒋复量] School of Resources and Safety Engineering, Central South University, Changsha 410083, China;[丁德馨; 蒋复量] School of Nuclear Resources and Safety Engineering, University of South China, Hengyang 421001, China;[肖建清] School of Mathematical and Physical Sciences, University of South China, Hengyang 421001, China
通讯机构：
School of Resources and Safety Engineering, Central South University, China
作者机构：
[陈文光] College of Electrical Engineering, University of South China, Hengyang 421001, China;[李云程] Hengyang Vacuum Electro-mechanical Equipment Ltd Co, Hengyang 421001, China;[饶益花] School of Mathematics and Physics, University of South China, Hengyang 421001, China
通讯机构：
College of Electrical Engineering, University of South China, China
作者：
Yin, Fu Qi;Zhou, Sheng Fan;Ouyang, Zi Gen;Xiao, Cui Hui*
期刊：
数学学报：英文版,2009年25(2):321-342 ISSN：1439-8516
通讯作者：
Xiao, Cui Hui
作者机构：
[Yin, Fu Qi; Xiao, Cui Hui] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Zhou, Sheng Fan] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.;[Ouyang, Zi Gen] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao, Cui Hui] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
