Pattern repulsion revisited

Fabian J. Theis; Ch Bauer; C. Puntonet; Elmar W. Lang

doi:10.1007/3-540-45723-2_94

Pattern repulsion revisited

Fabian J. Theis, Ch Bauer, C. Puntonet, Elmar W. Lang

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

3 Scopus citations

Abstract

Marques and Almeida [9] recently proposed a nonlinear data seperation technique based on the maximum entropy principle of Bell and Sejnowsky. The idea behind is a pattern repulsion model alluding to repulsion of physical particles in a restricted system which leads to a uniform distribution, hence a maximum entropy, under certain conditions to the energy function. In this paper, we wan t to revisite their model and give a rigorous mathematical framework in which this algorithm indeed converges to a demixing function.

Original language	English
Title of host publication	Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings
Publisher	Springer Verlag
Pages	778-785
Number of pages	8
Edition	PART 2
ISBN (Print)	9783540422372
DOIs	https://doi.org/10.1007/3-540-45723-2_94
State	Published - 2001
Externally published	Yes
Event	6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 - Granada, Spain Duration: 13 Jun 2001 → 15 Jun 2001

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 2
Volume	2085 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001
Country/Territory	Spain
City	Granada
Period	13/06/01 → 15/06/01

Access to Document

10.1007/3-540-45723-2_94

Cite this

Theis, F. J., Bauer, C., Puntonet, C., & Lang, E. W. (2001). Pattern repulsion revisited. In Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings (PART 2 ed., pp. 778-785). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2085 LNCS, No. PART 2). Springer Verlag. https://doi.org/10.1007/3-540-45723-2_94

Theis, Fabian J. ; Bauer, Ch ; Puntonet, C. et al. / Pattern repulsion revisited. Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings. PART 2. ed. Springer Verlag, 2001. pp. 778-785 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2).

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title = "Pattern repulsion revisited",

abstract = "Marques and Almeida [9] recently proposed a nonlinear data seperation technique based on the maximum entropy principle of Bell and Sejnowsky. The idea behind is a pattern repulsion model alluding to repulsion of physical particles in a restricted system which leads to a uniform distribution, hence a maximum entropy, under certain conditions to the energy function. In this paper, we wan t to revisite their model and give a rigorous mathematical framework in which this algorithm indeed converges to a demixing function.",

author = "Theis, {Fabian J.} and Ch Bauer and C. Puntonet and Lang, {Elmar W.}",

year = "2001",

doi = "10.1007/3-540-45723-2_94",

language = "English",

isbn = "9783540422372",

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

publisher = "Springer Verlag",

number = "PART 2",

pages = "778--785",

booktitle = "Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings",

edition = "PART 2",

note = "6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 ; Conference date: 13-06-2001 Through 15-06-2001",

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Theis, FJ, Bauer, C, Puntonet, C & Lang, EW 2001, Pattern repulsion revisited. in Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings. PART 2 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 2, vol. 2085 LNCS, Springer Verlag, pp. 778-785, 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Granada, Spain, 13/06/01. https://doi.org/10.1007/3-540-45723-2_94

Pattern repulsion revisited. / Theis, Fabian J.; Bauer, Ch; Puntonet, C. et al.
Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings. PART 2. ed. Springer Verlag, 2001. p. 778-785 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2085 LNCS, No. PART 2).

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

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AB - Marques and Almeida [9] recently proposed a nonlinear data seperation technique based on the maximum entropy principle of Bell and Sejnowsky. The idea behind is a pattern repulsion model alluding to repulsion of physical particles in a restricted system which leads to a uniform distribution, hence a maximum entropy, under certain conditions to the energy function. In this paper, we wan t to revisite their model and give a rigorous mathematical framework in which this algorithm indeed converges to a demixing function.

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

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Theis FJ, Bauer C, Puntonet C, Lang EW. Pattern repulsion revisited. In Bio-Inspired Applications of Connectionism - 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, Proceedings. PART 2 ed. Springer Verlag. 2001. p. 778-785. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2). doi: 10.1007/3-540-45723-2_94

Pattern repulsion revisited

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