Retrieval Properties of Hopfield and Correlated Attractors in an Associative Memory Model
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- Uezu Tatsuya
- Graduate School of Humanities and Sciences, Nara Women’s University
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- Hirano Aya
- Graduate School of Humanities and Sciences, Nara Women’s University
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- Okada Masato
- Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute “Intelligent Cooperation and Control”, PRESTO, JST, c/o RIKEN BSI
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Abstract
We examine a previouly introduced attractor neural network model that explains the persistent activities of neurons in the anterior ventral temporal cortex of the brain. In this model, the coexistence of several attractors including correlated attractors was reported in the cases of finite and infinite loading. In this paper, by means of a statistical mechanical method, we study the statics and dynamics of the model in both finite and extensive loading, mainly focusing on the retrieval properties of the Hopfield and correlated attractors. In the extensive loading case, we derive the evolution equations by the dynamical replica theory. We found several characteristic temporal behaviours, both in the finite and extensive loading cases. The theoretical results were confirmed by numerical simulations.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 73 (4), 867-874, 2004
THE PHYSICAL SOCIETY OF JAPAN
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Keywords
Details 詳細情報について
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- CRID
- 1390001204188112896
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- NII Article ID
- 110001974360
- 130004538732
- 210000105330
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- NII Book ID
- AA00704814
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- BIBCODE
- 2004JPSJ...73..867U
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 6917404
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed