Independent Component Analysis Based on Information Bottleneck

Independent Component Analysis Based on Information Bottleneck

The paper is mainly used to provide the equivalence of two algorithms of independent component analysis (ICA) based on the information bottleneck (IB). In the viewpoint of information theory, we attempt to explain the two classical algorithms of ICA by information bottleneck. Furthermore, via the nu...

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Main Authors: Qiao Ke, Jiangshe Zhang, H. M. Srivastava, Wei Wei, Guang-Sheng Chen
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/386201
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spelling doaj-fab793f5eac44e3c8a3636d7d337c9d52020-11-24T23:14:27ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/386201386201Independent Component Analysis Based on Information BottleneckQiao Ke0Jiangshe Zhang1H. M. Srivastava2Wei Wei3Guang-Sheng Chen4School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaSchool of Computer Science and Engineering, Xi’an University of Technology, Shaanxi Key Laboratory for Network Computing and Security Technology, Xi’an 710048, ChinaDepartment of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, Guangxi 547000, ChinaThe paper is mainly used to provide the equivalence of two algorithms of independent component analysis (ICA) based on the information bottleneck (IB). In the viewpoint of information theory, we attempt to explain the two classical algorithms of ICA by information bottleneck. Furthermore, via the numerical experiments with the synthetic data, sonic data, and image, ICA is proved to be an edificatory way to solve BSS successfully relying on the information theory. Finally, two realistic numerical experiments are conducted via FastICA in order to illustrate the efficiency and practicality of the algorithm as well as the drawbacks in the process of the recovery images the mixing images.http://dx.doi.org/10.1155/2015/386201
collection DOAJ
language English
format Article
sources DOAJ
author Qiao Ke
Jiangshe Zhang
H. M. Srivastava
Wei Wei
Guang-Sheng Chen
spellingShingle Qiao Ke
Jiangshe Zhang
H. M. Srivastava
Wei Wei
Guang-Sheng Chen
Independent Component Analysis Based on Information Bottleneck
Abstract and Applied Analysis
author_facet Qiao Ke
Jiangshe Zhang
H. M. Srivastava
Wei Wei
Guang-Sheng Chen
author_sort Qiao Ke
title Independent Component Analysis Based on Information Bottleneck
title_short Independent Component Analysis Based on Information Bottleneck
title_full Independent Component Analysis Based on Information Bottleneck
title_fullStr Independent Component Analysis Based on Information Bottleneck
title_full_unstemmed Independent Component Analysis Based on Information Bottleneck
title_sort independent component analysis based on information bottleneck
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description The paper is mainly used to provide the equivalence of two algorithms of independent component analysis (ICA) based on the information bottleneck (IB). In the viewpoint of information theory, we attempt to explain the two classical algorithms of ICA by information bottleneck. Furthermore, via the numerical experiments with the synthetic data, sonic data, and image, ICA is proved to be an edificatory way to solve BSS successfully relying on the information theory. Finally, two realistic numerical experiments are conducted via FastICA in order to illustrate the efficiency and practicality of the algorithm as well as the drawbacks in the process of the recovery images the mixing images.
url http://dx.doi.org/10.1155/2015/386201
work_keys_str_mv AT qiaoke independentcomponentanalysisbasedoninformationbottleneck
AT jiangshezhang independentcomponentanalysisbasedoninformationbottleneck
AT hmsrivastava independentcomponentanalysisbasedoninformationbottleneck
AT weiwei independentcomponentanalysisbasedoninformationbottleneck
AT guangshengchen independentcomponentanalysisbasedoninformationbottleneck
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