Presentation 2003/7/21
Storage Capacity of Multidirectional Associative Memory
Masaki KOBAYASHI, Motonobu HATTORI, Haruaki YAMAZAKI,
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Abstract(in English) Several associative memory models, such as Hopfield Associative Memory (HAM) by Hopfield, Bidirectional Associative Memory (BAM) by Kosko and Multidirectional Associative Memory (MAM) by Hagiwara, have been proposed. We have proposed the Multidirectional Associative Memory with a hidden layer. There have been many researches for the storage capacity of HAM. We denote the number of neurons as N. For correlation learning, 0.15N was derived by Hopfield, 0.14N by Amit and and 0.16N by Amari. Moreover, it is known that the storage capacity by the pseudo-inverse matrix is N and that by error-correcting is 2N. Therefore the storage capacity of HAM is proportional to N. It is known that the storage capacity of BAM depends on the number of neurons of the layer which has less neurons than the other. Let M be the number of neurons in a MAM except the layer which has most neurons. Then we can expect that the storage capacity of the MAM is proportinal to M owing to the similarity between correlation learning of the HAM and that of the MAM. We investigate this conjecture by computer simulation for correlation learning, error-correcting learning, pseudo-relaxation learning and Multidirectional Associarive Memory with a hidden layer.
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Keyword(in English) Associative Memory / Storage Capacity / MAM
Paper # NC2003-33
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Committee NC
Conference Date 2003/7/21(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) Storage Capacity of Multidirectional Associative Memory
Sub Title (in English)
Keyword(1) Associative Memory
Keyword(2) Storage Capacity
Keyword(3) MAM
1st Author's Name Masaki KOBAYASHI
1st Author's Affiliation Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi()
2nd Author's Name Motonobu HATTORI
2nd Author's Affiliation Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi
3rd Author's Name Haruaki YAMAZAKI
3rd Author's Affiliation Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi
Date 2003/7/21
Paper # NC2003-33
Volume (vol) vol.103
Number (no) 227
Page pp.pp.-
#Pages 6
Date of Issue