典型文献
On the Discrete-Time Dynamics of Cross-Coupled Hebbian Algorithm
文献摘要：
Principal/minor component analysis(PCA/MCA),generalized principal/minor component analysis(GPCA/G-MCA),and singular value decomposition(SVD)algorithms are important techniques for feature extraction.In the con-vergence analysis of these algorithms,the deterministic discrete-time(DDT)method can reveal the dynamic behavior of PCA/MCA and GPCA/GMCA algorithms effectively.However,the dynamic behavior of SVD algorithms has not been studied quantitatively because of their special structure.In this paper,for the first time,we utilize the advantages of the DDT method in PCA algorithms analysis to study the dynamics of SVD algorithms.First,taking the cross-coupled Hebbian algorithm as an example,by concatenating the two cross-coupled variables into a single vector,we successfully get a PCA-like DDT system.Second,we analyze the discrete-time dynamic behavior and stability of the PCA-like DDT system in detail based on the DDT method,and obtain the boundedness of the weight vectors and learning rate.Moreover,further discussion shows the universality of the proposed method for analyzing other SVD algorithms.As a result,the proposed method provides a new way to study the dynamical convergence properties of SVD algorithms.
文献关键词：
中图分类号：
作者姓名：
Xiao-Wei Feng;Xiang-Yu Kong;Chuan He;Dong-Hui Xu
作者机构：
Xi'an Research Institute of High Technology,Xi'an 710025,China
文献出处：
引用格式：
[1]Xiao-Wei Feng;Xiang-Yu Kong;Chuan He;Dong-Hui Xu-.On the Discrete-Time Dynamics of Cross-Coupled Hebbian Algorithm)[J].计算机科学技术学报（英文版）,2022(01):252-265
A类：
Hebbian,GMCA
B类：
On,Discrete,Time,Dynamics,Cross,Coupled,Algorithm,Principal,minor,component,analysis,generalized,principal,GPCA,singular,value,decomposition,SVD,algorithms,are,important,techniques,feature,extraction,In,these,deterministic,discrete,DDT,method,can,reveal,behavior,effectively,However,has,not,been,studied,quantitatively,because,their,special,structure,this,paper,first,utilize,advantages,study,dynamics,First,taking,cross,coupled,example,by,concatenating,two,variables,into,single,successfully,get,like,system,Second,analyze,stability,detail,obtain,boundedness,weight,vectors,learning,rate,Moreover,further,discussion,shows,universality,proposed,analyzing,other,result,provides,new,way,dynamical,convergence,properties
AB值：
0.525588
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
