作者机构：
[杨炳儒; 杨珺; 唐志刚] School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China;[唐志刚] School of Math and Physics, Nanhua University, Hengyang 421001, China
通讯机构：
[Tang, Z.] S;School of Information Engineering, University of Science and Technology Beijing, 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。
期刊：
Journal of Applied Mathematics and Computing,2010年34(1-2):195-206 ISSN：1598-5865
通讯作者：
Jing, L.(lijingnew@126.com)
作者机构：
[Jing, Li] Department of Mathematics, Changsha University of Science and Technology, Changsha, P.R. China;[Youjun, Xu] School of Mathematics and Physics, University of South China, Hengyang, P.R. China
通讯机构：
[Li Jing] D;Department of Mathematics, Changsha University of Science and Technology, Changsha, P.R. China
关键词：
Existence of quasisolutions;Inverse coefficient problem;Monotonicity;Nonlinear ion transport
摘要：
The problem related to controlled potential experiments in electrochemistry is studied. Ion transport is regarded as the superposition of diffusion and migration. Modelling of the experiment leads to a problem for a nonlinear parabolic equation with additional condition. Driven by the needs of theoretical analysis, from the point of view a inverse coefficient problem, we analyze the monotonicity of input-output mappings in inverse coefficient and source problems for this parabolic equation. Additionally, we extend the nonlinear parabolic equation to a more general case. Under some proper conditions, we investigate the existence of quasisolution of the generalized nonlinear parabolic equation.
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：
[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
期刊：
Journal of Applied Mathematics and Computing,2009年29(1-2):197-206 ISSN：1598-5865
通讯作者：
Xu, Y.(xuyoujun7618@yahoo.com.cn)
作者机构：
[Youjun Xu; Jing Li; Zhenhai Liu] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China;[Youjun Xu] School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China
通讯机构：
[Youjun Xu] S;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, People’s Republic of China<&wdkj&>School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China
关键词：
Controllability;Parabolic equation;Nonlinear gradient term
摘要：
In this paper, we prove the controllability of a quasi-linear heat equation involving gradient terms with Fourier boundary conditions in a bounded domain ofℝ
N
. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments.
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
期刊：
Applied Mathematics and Computation,2009年215(5):1806-1812 ISSN：0096-3003
通讯作者：
Liao, Xinyuan
作者机构：
[Liao, Xinyuan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Tang, Xianhua] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China.;[Zhou, Shengfan] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Liao, Xinyuan] U;Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain Ω. In this case, we prove the existence of controls insensitizing the L2-norm of the observation of the solution in an open subset of the domain. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments.
摘要：
In this work, we study a discrete-time multi-species ecological competition-predation system with several delays. By a new method of difference inequality, it is shown that the system is permanent under some appropriate conditions. Moreover, we give an example to illustrate the feasibility of our result. (c) 2007 Elsevier Ltd. All rights reserved.
摘要：
A nonautonomous N-species discrete Lotka-Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the species coexistence in the long run. Moreover, we give some examples to illustrate the feasibility of our result which can be well suited for computational purposes. (C) 2006 Elsevier B.V. All rights reserved.
