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Storage capacity of two-dimensional neural networks

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タイトル: Storage capacity of two-dimensional neural networks
著者: Koyama, Shinsuke 著作を一覧する
発行日: 2001年12月
出版者: American Physical Society
誌名: Physical Review E
巻: 65
号: 1
開始ページ: 016124
出版社 DOI: 10.1103/PhysRevE.65.016124
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.
Rights: Copyright © 2001 American Physical Society
関連URI: http://www.aps.org/
資料タイプ: article
URI: http://hdl.handle.net/2115/18846
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 小山 慎介

 

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