基于GGD模型独立成分分析算法的局部稳定性分析

J4 ›› 2012, Vol. 50 ›› Issue (4): 793-797.

基于GGD模型独立成分分析算法的局部稳定性分析

汪太月^1,2, 李宏伟¹

1. 中国地质大学数理学院, 武汉 430074； 2. 湖北理工学院数理学院, 湖北黄石 435003

出版日期:2012-07-01 发布日期:2012-09-07
通讯作者: 李宏伟 E-mail:hwli@cug.edu.cn.

Local Stability Analysis-of Independent Component Analysis

WANG Taiyue ^1,2, LI Hongwei¹

1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;
2. College of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, Hubei Province, China

Online:2012-07-01 Published:2012-09-07
Contact: LI Hongwei E-mail:hwli@cug.edu.cn.

摘要/Abstract

摘要：

基于广义Gauss概率密度模型对超Gauss和亚Gauss源混合信号进行盲分离, 在Stiefel流形的自然梯度法框架下, 分析了独立成分分析算法的局部稳定性, 并采用几种典型非线性函数验证了所得结论的正确性和适用性.

关键词: 广义Gauss分布, 独立成分分析, 自然梯度, 局部稳定性

Abstract:

Generalized Gauss density model was employed for the blind separation of the mixtures of sub- and super-Gauss sources, and the local stability analysis was performed for independent component analysis algorithm in the framework of the natural gradient in Stiefel manifold. We presented some new results about its local stability analysis and verified their correctness and applicability.

Key words: generalized Gauss distribution, independent component analysis, natural gradient, local stability

中图分类号:

汪太月, 李宏伟. 基于GGD模型独立成分分析算法的局部稳定性分析[J]. J4, 2012, 50(4): 793-797.

WANG Taiyue, LI Hongwei. Local Stability Analysis-of Independent Component Analysis[J]. J4, 2012, 50(4): 793-797.