Storage capacity of two-dimensional neural networks

Koyama, Shinsuke

Physical Review E, 2001, 65(1), 016124

Permalink : https://hdl.handle.net/2115/18846

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アクセス権	open access
URI	https://hdl.handle.net/2115/18846
タイトル	Storage capacity of two-dimensional neural networks
著者	著者名 Koyama, Shinsuke
言語	英語
発行日	2001-12
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	65(1)
ページ	016124
抄録	We investigate the maximum number of embedded patterns in the two-dimensional Hopfield model. The grand state energies of two specific network states, namely, the energies of the pure-ferromagnetic state and the state of specific one stored pattern are calculated exactly in terms of the correlation function of the ferromagnetic Ising model. We also investigate the energy landscape around them and the stability of the pure retrieval state. Taking into account the qualitative features of the phase diagrams obtained by Nishimori, Whyte, and Sherrington [Phys. Rev. E 51, 3628 (1995)], we conclude that the network cannot retrieve more than three patterns.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 2001 American Physical Society
PISSN	1063-651X
EISSN	1095-3787
関連情報	PMID 11800753
関連情報	URI http://www.aps.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.65.016124