Presentation 2012-07-30
Analysis of Auto-Associative Memory Model in XY Spin System : Case of storing with correlated finite number memory patterns
Tomoyuki KIMOTO, Tatsuya UEZU, Masato OKADA,
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Abstract(in English) In this study, we analyze the structure of attractors in associative memory model of XY-spin system. We also study the change of the structure of attractors when the correlation between the memory patterns is changed. Since we focus to the structure of attractors, the number of memory patterns is limited to finite number(p = 3). As the result, it has been understood that each memory pattern is acquired as not a point attractor but a continuous (line) attractor for which the free energy on the route from a certain memory pattern to another memory pattern is a shape of valley. It is thought that such the continuous attractor is important findings to determine the brain mechanisms because a lot of firing patterns like the continuous attractor are found in the brain.
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Keyword(in English) XY-spin / Hopfield-model / continuous(line) attractor / retrieval dynamic / statistical mechanics
Paper # NC2012-19
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Committee NC
Conference Date 2012/7/23(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analysis of Auto-Associative Memory Model in XY Spin System : Case of storing with correlated finite number memory patterns
Sub Title (in English)
Keyword(1) XY-spin
Keyword(2) Hopfield-model
Keyword(3) continuous(line) attractor
Keyword(4) retrieval dynamic
Keyword(5) statistical mechanics
1st Author's Name Tomoyuki KIMOTO
1st Author's Affiliation Oita National College of Technology()
2nd Author's Name Tatsuya UEZU
2nd Author's Affiliation Graduate School of Sciences and Humanities, Nara Women's University
3rd Author's Name Masato OKADA
3rd Author's Affiliation Graduate School of Frontier Sciences, University of Tokyo:RIKEN Brain Science Institute
Date 2012-07-30
Paper # NC2012-19
Volume (vol) vol.112
Number (no) 168
Page pp.pp.-
#Pages 6
Date of Issue