Sequential extraction of minor components

Tianping Chen; Shun Ichi Amari; Noboru Murata

doi:10.1023/A:1011388608203

Sequential extraction of minor components

Tianping Chen^*, Shun Ichi Amari, Noboru Murata

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

Principal component analysis (PCA) and Minor component analysis (MCA) are similar but have different dynamical performances. Unexpectedly, a sequential extraction algorithm for MCA proposed by Luo and Unbehauen [11] does not work for MCA, while it works for PCA. We propose a different sequential-addition algorithm which works for MCA. We also show a conversion mechanism by which any PCA algorithms are converted to dynamically equivalent MCA algorithms and vice versa.

Original language	English
Pages (from-to)	195-201
Number of pages	7
Journal	Neural Processing Letters
Volume	13
Issue number	3
DOIs	https://doi.org/10.1023/A:1011388608203
Publication status	Published - 2001 Jun
Externally published	Yes

Keywords

Minor component
Sequential algorithm

ASJC Scopus subject areas

Software
Neuroscience(all)
Computer Networks and Communications
Artificial Intelligence

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10.1023/A:1011388608203

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title = "Sequential extraction of minor components",

abstract = "Principal component analysis (PCA) and Minor component analysis (MCA) are similar but have different dynamical performances. Unexpectedly, a sequential extraction algorithm for MCA proposed by Luo and Unbehauen [11] does not work for MCA, while it works for PCA. We propose a different sequential-addition algorithm which works for MCA. We also show a conversion mechanism by which any PCA algorithms are converted to dynamically equivalent MCA algorithms and vice versa.",

keywords = "Minor component, Sequential algorithm",

author = "Tianping Chen and Amari, {Shun Ichi} and Noboru Murata",

note = "Funding Information: We are very greatful to the reviewers for their very useful comments, which improve our paper very much. T. Chen is supported by the National Science Foundation of China 69982003, 60074005.",

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T1 - Sequential extraction of minor components

AU - Chen, Tianping

AU - Amari, Shun Ichi

AU - Murata, Noboru

N1 - Funding Information: We are very greatful to the reviewers for their very useful comments, which improve our paper very much. T. Chen is supported by the National Science Foundation of China 69982003, 60074005.

PY - 2001/6

Y1 - 2001/6

N2 - Principal component analysis (PCA) and Minor component analysis (MCA) are similar but have different dynamical performances. Unexpectedly, a sequential extraction algorithm for MCA proposed by Luo and Unbehauen [11] does not work for MCA, while it works for PCA. We propose a different sequential-addition algorithm which works for MCA. We also show a conversion mechanism by which any PCA algorithms are converted to dynamically equivalent MCA algorithms and vice versa.

AB - Principal component analysis (PCA) and Minor component analysis (MCA) are similar but have different dynamical performances. Unexpectedly, a sequential extraction algorithm for MCA proposed by Luo and Unbehauen [11] does not work for MCA, while it works for PCA. We propose a different sequential-addition algorithm which works for MCA. We also show a conversion mechanism by which any PCA algorithms are converted to dynamically equivalent MCA algorithms and vice versa.

KW - Minor component

KW - Sequential algorithm

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IS - 3

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Sequential extraction of minor components

Abstract

Keywords

ASJC Scopus subject areas

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