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

^*この研究の対応する著者

研究成果: Article › 査読

17 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	195-201
ページ数	7
ジャーナル	Neural Processing Letters
巻	13
号	3
DOI	https://doi.org/10.1023/A:1011388608203
出版ステータス	Published - 2001 6月
外部発表	はい

ASJC Scopus subject areas

ソフトウェア
神経科学（全般）
コンピュータネットワークおよび通信
人工知能

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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.",

year = "2001",

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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

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