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Mutual information and topology 2: Symmetric network
- Source :
- Scopus-Elsevier, Biblos-e Archivo. Repositorio Institucional de la UAM, instname, Advances in Neural Networks – ISNN 2004 ISBN: 9783540228417, ISNN (1)
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Abstract
- Proceedings of International Symposium on Neural Networks, Dalian, China, August 2004, Part I<br />The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-28647-9_4<br />Following Gardner, we calculate the information capacity and other phase transition related parameters for a symmetric Hebb network with small word topology in mean-field approximation. It was found that the topology dependence can be described by very small number of parameters, namely the probability of existence of loops with given length. In the case of small world topology, closed algebraic set of equations with only three parameters was found that is easily to be solved.<br />Supported by the Spanish MCyT BFI-2003-07276 and TIC 2002-572-C02.
- Subjects :
- Discrete mathematics
Algebraic set
Informática
Phase transition
Algorithm Analysis and Problem Complexity
Small number
Discrete Mathematics in Computer Science
Topology (electrical circuits)
Mutual information
Topology
Computer Communication Networks
Artificial Intelligence
Symmetric network
Word (computer architecture)
Computation by Abstract Devices
Programming Techniques
Mathematics
Subjects
Details
- ISBN :
- 978-3-540-22841-7
- ISBNs :
- 9783540228417
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier, Biblos-e Archivo. Repositorio Institucional de la UAM, instname, Advances in Neural Networks – ISNN 2004 ISBN: 9783540228417, ISNN (1)
- Accession number :
- edsair.doi.dedup.....e9b550b7b6825615ed96fbd8e34aaade