加权M?ller算法的广义加权规则  

Generalized Weighted Rules on Modified M?ller Algorithm

作　　者：杜柏阳 孔祥玉 冯晓伟 高迎彬 曹泽豪 DU Bo-Yang;KONG Xiang-Yu;FENG Xiao-Wei;GAO Ying-Bin;CAO Ze-Hao(The Xi0an Researching Institute of High Technology,Xi0an 710025;China University of Petroleum(Beijing),Beijing 100100)

机构地区：[1]西安高科技研究所,西安710025 [2]中国石油大学(北京),北京100100

出　　处：《自动化学报》2020年第1期193-199,共7页Acta Automatica Sinica

基　　金：国家自然科学基金(61374120,61673387)资助~~

摘　　要：提出一套针对加权Moller算法的广义加权规则用于探讨改进并行提取次成分分析的理论和方法问题.该规则仅在加权Moller算法上引入一个加权规则参数,通过调节参数后算法性能上的变化,实现加权Moller算法稳定性在动力学层面上的分析,探讨加权参数变化对算法稳定性的影响.基于常微分方程方法对所提出规则下的加权Moller算法进行稳定性证明,并分析其中关键函数的性质.最后,MATLAB仿真验证了所提出规则的性能和算法性质.A generalized weighted rule for weighted Moller algorithm is introduced to explore the modied minor component analysis by parallel extraction in theory and application.The proposed rule helps to analyze the stability in the dynamic of the algorithm in aspects of different properties,through altering the generalized weighted parameter,which is the only alterable parameter adopted in the weighted Moller algorithm.The stability analysis of the weighted Moller algorithm modied by the proposed generalized weighted rule is evaluated based on ordinary differential equation.And the analysis of the key functions is given.Finally,the properties of the modied algorithms and the ability of the proposed rule are veried by simulations in MATLAB.

关 键 词：多个次成分 广义加权规则 并行提取 Moller 算法 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]