@inproceedings{36cefd9ebd234d7a8f7e1d61b4f614a0,
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",
isbn = "3540600841",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "570--580",
editor = "Zoltan Fulop and Ferenc Gecseg",
booktitle = "Automata, Languages and Programming - 22nd International Colloquium, ICALP 1995, Proceedings",
}