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计算机工程 ›› 2006, Vol. 32 ›› Issue (15): 16-18,2. doi: 10.3969/j.issn.1000-3428.2006.15.006

• 博士论文 • 上一篇    下一篇

基于最短路径和自然梯度的过完备ICA算法

李拥军1,2;江宇闻3;朱思铭3

  

  1. 1. 广州广播电视大学理工部,广州 510260;2. 华南理工大学计算机科学与工程学院,广州 510640; 3. 中山大学数学与计算科学学院,广州510275

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-08-05 发布日期:2006-08-05

A New Overcomplete ICA Algorithm Based on Shortest Path and Nature Gradient

LI Yongjun1,2; JIANG Yuwen3,;ZHU Siming3   

  1. 1. Department of Technology, Radio &Television Guangzhou University, Guangzhou 510260; 2. School of Computer Science and Engineering, South China University of Technology, Guangzhou 510640; 3. School of Mathematics and Computer Science, Sun Yat-sen University, Guangzhou 510275

  • Received:1900-01-01 Revised:1900-01-01 Online:2006-08-05 Published:2006-08-05

摘要:

独立成分分析(ICA)是一种在给出的随机向量中找出统计独立的数据的统计方法,而过完备独立成分分析则是ICA问题中的一类特殊的情形,它要的源信号的数目比观测信号的数目要多。该文提出了一种基于最短路径算法和自然梯度的解决过完备独立成分分析的新算法Turbo-overcomplete。该算法采用了最短路径方法来推断源信号和采用自然梯度的方法来学习基向量,并采用Turbo-overcomplete算法来进行语音信号分离的实验,并把实验结果与现在的一些过完备独立成份分析算法进行了比较。

关键词: 过完备独立成份分析, 最短路径, 自然梯度

Abstract:

Independent component analysis(ICA) is a statistical methods for finding statistically independent data within given random vector, ovecomplete ICA is a special case of ICA, which gives more source vectors than observe vectors. This paper introduces a new overcomplete ICA algorithm, named Turbo-overcomplete algorithm, based on shortest path algorithm and nature gradient. Turbo-overcomplete algorithm uses shortest path method to infer source vector and nature gradient to learn the basis vector. It uses Turbo-overcomplete algorithm to separate speech signals and compares the experimental results with current ovecomplete algorithms.

Key words: Overcomplete ICA, Shortest path, Nature gradient

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