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タイトル: Continuous Attractor that Appears in Autoassociative Memory Model Extended to XY Spin System
著者: Kimoto, Tomoyuki link image; Uezu, Tatsuya link image; Okada, Masato link image
著者(別表記) : 木本, 智幸; 上江洌, 達也; 岡田, 真人
著者読み: きもと, ともゆき; うえず, たつや; おかだ, まさと
キーワード: continuous (line) attractor; external input; Hopfield model; point attractor; statistical mechanics; XY spin
発行日: 2013年12月15日
出版者: 一般社団法人日本物理学会(The Physical Society of Japan)
引用: T.KIMOTO, T. UEZU and M. OKADA :Journal of the Physical Society of Japan; Dec 2013, Vol. 82, Issue 12, pp.1-8
抄録: We analyzed the attractor structure in an autoassociative memory model extended to an XY spin system. We examined the attractor structures for two kinds of memory patterns: one composed of two states, 0 and \pi; and the other composed of an infinite number of states [0,2\pi). To focus on analyzing the attractor structure, we used a finite number of memory patterns. As a result of our study, we found that memory patterns composed of two states are acquired not as point attractors but as a continuous (line) attractor, and that the retrieval state of the model can change without the free energy changing from one memory pattern to another. The memory patterns are acquired as point attractors in an autoassociative memory model of an Ising spin system. Therefore, the attractor structure is changed markedly by extending the autoassociative memory model to an XY spin system. Furthermore, we found that the attractor structure changes depending on the number of states in the memory pattern, and that the memory patterns composed of an infinite number of states are not acquired as a continuous attractor.
記述: 本論文の著作権は一般社団法人日本物理学会(The Physical Society of Japan)が保有しています。
???metadata.dc.relation.doi???: 10.7566/JPSJ.82.124002
URI: http://hdl.handle.net/10935/3569
ISSN: 0031-9015
出現コレクション:雑誌

このアイテムの引用には次の識別子を使用してください: http://hdl.handle.net/10935/3569

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