A characterization of the existence of energies for neural networks

Michel Cosnard; Eric Goles

doi:10.1007/3-540-60084-1_106

A characterization of the existence of energies for neural networks

Michel Cosnard, Eric Goles

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

Abstract

In this paper we give under an appropriate theoretical framework a characterization about neural networks which admit an energy. We prove that a neural network admits an energy if and only if the weight matrix verifies two conditions: The diagonal elements are non-negative and the associated incidence graph does not admit non-quasi-symmetric circuits.

Original language	English
Title of host publication	Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings
Editors	Zoltan Fulop, Ferenc Gecseg
Publisher	Springer Verlag
Pages	570-580
Number of pages	11
ISBN (Print)	3540600841, 9783540600848
DOIs	https://doi.org/10.1007/3-540-60084-1_106
State	Published - 1995
Externally published	Yes
Event	22nd International Colloquium on Automata, Languages and Programming, ICALP 1995 - Szeged, Hungary Duration: 10 Jul 1995 → 14 Jul 1995

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	944
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	22nd International Colloquium on Automata, Languages and Programming, ICALP 1995
Country/Territory	Hungary
City	Szeged
Period	10/07/95 → 14/07/95

Access to Document

10.1007/3-540-60084-1_106

Cite this

Cosnard, M., & Goles, E. (1995). A characterization of the existence of energies for neural networks. In Z. Fulop, & F. Gecseg (Eds.), Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings (pp. 570-580). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 944). Springer Verlag. https://doi.org/10.1007/3-540-60084-1_106

Cosnard, Michel ; Goles, Eric. / A characterization of the existence of energies for neural networks. Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings. editor / Zoltan Fulop ; Ferenc Gecseg. Springer Verlag, 1995. pp. 570-580 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "A characterization of the existence of energies for neural networks",

abstract = "In this paper we give under an appropriate theoretical framework a characterization about neural networks which admit an energy. We prove that a neural network admits an energy if and only if the weight matrix verifies two conditions: The diagonal elements are non-negative and the associated incidence graph does not admit non-quasi-symmetric circuits.",

author = "Michel Cosnard and Eric Goles",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1995.; 22nd International Colloquium on Automata, Languages and Programming, ICALP 1995 ; Conference date: 10-07-1995 Through 14-07-1995",

year = "1995",

doi = "10.1007/3-540-60084-1_106",

language = "English",

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

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Cosnard, M & Goles, E 1995, A characterization of the existence of energies for neural networks. in Z Fulop & F Gecseg (eds), Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 944, Springer Verlag, pp. 570-580, 22nd International Colloquium on Automata, Languages and Programming, ICALP 1995, Szeged, Hungary, 10/07/95. https://doi.org/10.1007/3-540-60084-1_106

A characterization of the existence of energies for neural networks. / Cosnard, Michel; Goles, Eric.
Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings. ed. / Zoltan Fulop; Ferenc Gecseg. Springer Verlag, 1995. p. 570-580 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 944).

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

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BT - Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings

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Cosnard M, Goles E. A characterization of the existence of energies for neural networks. In Fulop Z, Gecseg F, editors, Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings. Springer Verlag. 1995. p. 570-580. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-60084-1_106

A characterization of the existence of energies for neural networks

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