Post nonlinear independent subspace analysis

Zoltán Szabó, Barnabás Póczos, Gábor Szirtes, A. Lőrincz

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

5 Citations (Scopus)

Abstract

In this paper a generalization of Post Nonlinear Independent Component Analysis (PNL-ICA) to Post Nonlinear Independent Subspace Analysis (PNL-ISA) is presented. In this framework sources to be identified can be multidimensional as well. For this generalization we prove a separability theorem: the ambiguities of this problem are essentially the same as for the linear Independent Subspace Analysis (ISA). By applying this result we derive an algorithm using the mirror structure of the mixing system. Numerical simulations are presented to illustrate the efficiency of the algorithm.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages677-686
Number of pages10
Volume4668 LNCS
EditionPART 1
Publication statusPublished - 2007
Event17th International Conference on Artificial Neural Networks, ICANN 2007 - Porto, Portugal
Duration: Sep 9 2007Sep 13 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume4668 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other17th International Conference on Artificial Neural Networks, ICANN 2007
CountryPortugal
CityPorto
Period9/9/079/13/07

Fingerprint

Subspace
Independent component analysis
Independent Component Analysis
Separability
Nonlinear Analysis
Mirror
Mirrors
Numerical Simulation
Computer simulation
Theorem
Generalization
Ambiguity
Framework

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Szabó, Z., Póczos, B., Szirtes, G., & Lőrincz, A. (2007). Post nonlinear independent subspace analysis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 1 ed., Vol. 4668 LNCS, pp. 677-686). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4668 LNCS, No. PART 1).

Post nonlinear independent subspace analysis. / Szabó, Zoltán; Póczos, Barnabás; Szirtes, Gábor; Lőrincz, A.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4668 LNCS PART 1. ed. 2007. p. 677-686 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4668 LNCS, No. PART 1).

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

Szabó, Z, Póczos, B, Szirtes, G & Lőrincz, A 2007, Post nonlinear independent subspace analysis. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 edn, vol. 4668 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 4668 LNCS, pp. 677-686, 17th International Conference on Artificial Neural Networks, ICANN 2007, Porto, Portugal, 9/9/07.
Szabó Z, Póczos B, Szirtes G, Lőrincz A. Post nonlinear independent subspace analysis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 ed. Vol. 4668 LNCS. 2007. p. 677-686. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
Szabó, Zoltán ; Póczos, Barnabás ; Szirtes, Gábor ; Lőrincz, A. / Post nonlinear independent subspace analysis. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4668 LNCS PART 1. ed. 2007. pp. 677-686 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
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