An improved geometric overcomplete blind source separation algorithm

Fabian J. Theis; Carlos G. Puntonet; Elmar W. Lang

doi:10.1007/3-540-44869-1_34

An improved geometric overcomplete blind source separation algorithm

Fabian J. Theis
, Carlos G. Puntonet
, Elmar W. Lang

University of Regensburg

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this paper, we generalize the efficient geometric ICA algorithm FastGeo to overcomplete settings with more sources than sensors. The solution to this underdetermined problem will be presented in a two step approach. With geometric ICA we get an efficient method for the step - matrix-recovery - while the second step - source-recovery - uses a maximum-likelihood approach.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Jose Mira, Jose R. Alvarez
Publisher	Springer Verlag
Pages	265-272
Number of pages	8
ISBN (Print)	354040211X, 9783540402114
DOIs	https://doi.org/10.1007/3-540-44869-1_34
State	Published - 2003
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2687
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/3-540-44869-1_34

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Theis, F. J., Puntonet, C. G., & Lang, E. W. (2003). An improved geometric overcomplete blind source separation algorithm. In J. Mira, & J. R. Alvarez (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 265-272). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2687). Springer Verlag. https://doi.org/10.1007/3-540-44869-1_34

Theis, Fabian J. ; Puntonet, Carlos G. ; Lang, Elmar W. / An improved geometric overcomplete blind source separation algorithm. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Jose Mira ; Jose R. Alvarez. Springer Verlag, 2003. pp. 265-272 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "An improved geometric overcomplete blind source separation algorithm",

abstract = "In this paper, we generalize the efficient geometric ICA algorithm FastGeo to overcomplete settings with more sources than sensors. The solution to this underdetermined problem will be presented in a two step approach. With geometric ICA we get an efficient method for the step - matrix-recovery - while the second step - source-recovery - uses a maximum-likelihood approach.",

author = "Theis, \{Fabian J.\} and Puntonet, \{Carlos G.\} and Lang, \{Elmar W.\}",

year = "2003",

doi = "10.1007/3-540-44869-1\_34",

language = "English",

isbn = "354040211X",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "265--272",

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booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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Theis, FJ, Puntonet, CG & Lang, EW 2003, An improved geometric overcomplete blind source separation algorithm. in J Mira & JR Alvarez (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2687, Springer Verlag, pp. 265-272. https://doi.org/10.1007/3-540-44869-1_34

An improved geometric overcomplete blind source separation algorithm. / Theis, Fabian J.; Puntonet, Carlos G.; Lang, Elmar W.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Jose Mira; Jose R. Alvarez. Springer Verlag, 2003. p. 265-272 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2687).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - An improved geometric overcomplete blind source separation algorithm

AU - Theis, Fabian J.

AU - Puntonet, Carlos G.

AU - Lang, Elmar W.

PY - 2003

Y1 - 2003

N2 - In this paper, we generalize the efficient geometric ICA algorithm FastGeo to overcomplete settings with more sources than sensors. The solution to this underdetermined problem will be presented in a two step approach. With geometric ICA we get an efficient method for the step - matrix-recovery - while the second step - source-recovery - uses a maximum-likelihood approach.

AB - In this paper, we generalize the efficient geometric ICA algorithm FastGeo to overcomplete settings with more sources than sensors. The solution to this underdetermined problem will be presented in a two step approach. With geometric ICA we get an efficient method for the step - matrix-recovery - while the second step - source-recovery - uses a maximum-likelihood approach.

UR - https://www.scopus.com/pages/publications/35248838266

U2 - 10.1007/3-540-44869-1_34

DO - 10.1007/3-540-44869-1_34

M3 - Chapter

AN - SCOPUS:35248838266

SN - 354040211X

SN - 9783540402114

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 265

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BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

A2 - Mira, Jose

A2 - Alvarez, Jose R.

PB - Springer Verlag

ER -

Theis FJ, Puntonet CG, Lang EW. An improved geometric overcomplete blind source separation algorithm. In Mira J, Alvarez JR, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2003. p. 265-272. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-44869-1_34

An improved geometric overcomplete blind source separation algorithm

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