A unified view of two-dimensional principal component analyses

Kohei Inoue, Kenji Hara, Kiichi Urahama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Recently, two-dimensional principal component analysis (2D-PCA) and its variants have been proposed by several researchers. In this paper, we summarize their 2DPCA variants, show some equivalence among them, and present a unified view in which the non-iterative 2DPCA variants are interpreted as the non-iterative approximate algorithms for the iterative 2DPCA variants, i.e., the non-iterative 2DPCA variants are derived as the first iterations of the iterative algorithm started from different initial settings. Then we classify the non-iterative 2DPCA variants on the basis of their algorithmic patterns and propose a new non-iterative 2DPCA algorithm based on the classification. The effectiveness of the proposed algorithm is experimentally demonstrated on three publicly accessible face image databases.

Original languageEnglish
Title of host publicationStructural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings
Pages566-574
Number of pages9
DOIs
Publication statusPublished - Nov 5 2012
EventJoint IAPR International Workshops on Structural and Syntactic PatternRecognition, SSPR 2012 and Statistical Techniques in Pattern Recognition,SPR 2012 - Hiroshima, Japan
Duration: Nov 7 2012Nov 9 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7626 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

OtherJoint IAPR International Workshops on Structural and Syntactic PatternRecognition, SSPR 2012 and Statistical Techniques in Pattern Recognition,SPR 2012
CountryJapan
CityHiroshima
Period11/7/1211/9/12

Fingerprint

Principal Components
Approximate Algorithm
Dimensional Analysis
Image Database
Principal Component Analysis
Iterative Algorithm
Classify
Equivalence
Face
Iteration
Principal component analysis

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Inoue, K., Hara, K., & Urahama, K. (2012). A unified view of two-dimensional principal component analyses. In Structural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings (pp. 566-574). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7626 LNCS). https://doi.org/10.1007/978-3-642-34166-3_62

A unified view of two-dimensional principal component analyses. / Inoue, Kohei; Hara, Kenji; Urahama, Kiichi.

Structural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings. 2012. p. 566-574 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7626 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Inoue, K, Hara, K & Urahama, K 2012, A unified view of two-dimensional principal component analyses. in Structural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7626 LNCS, pp. 566-574, Joint IAPR International Workshops on Structural and Syntactic PatternRecognition, SSPR 2012 and Statistical Techniques in Pattern Recognition,SPR 2012, Hiroshima, Japan, 11/7/12. https://doi.org/10.1007/978-3-642-34166-3_62
Inoue K, Hara K, Urahama K. A unified view of two-dimensional principal component analyses. In Structural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings. 2012. p. 566-574. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-34166-3_62
Inoue, Kohei ; Hara, Kenji ; Urahama, Kiichi. / A unified view of two-dimensional principal component analyses. Structural, Syntactic, and Statistical Pattern Recognition - Joint IAPR International Workshop, SSPR and SPR 2012, Proceedings. 2012. pp. 566-574 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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