Mixed state on a sparsely encoded associative memory model

Simple item page
dc.creatorKimoto, Tomoyuki
dc.creatorOkada, Masato
dc.date1999-11-12
dc.date1999-11-13
dc.date.accessioned2026-07-07T03:15:06Z
dc.date.available2026-07-07T03:15:06Z
dc.descriptionIn the present paper, we analyze symmetric mixed states corresponding to the so-called concept formation on a sparsely encoded associative memory model with 0-1 neurons. Three types of mixed states, OR, AND and a majority decision mixed state are described as typical examples. Each element of the OR mixed state is composed of corresponding memory pattern elements by means of the OR-operation. The other two types are similarly defined. By analyzing their stabilities through the SCSNA and the computer simulation, we found that the storage capacity of the OR mixed state diverges in the sparse limit, but that the other states do not diverge. In addition, we found that the optimal threshold values, which maximize the storage capacity, for the memory pattern and the OR mixed state coincide with each other in the spare limit. Thus, we conclude that the OR mixed state is a reasonable representative of the mixed state in the spare limit. Finally, the paper examines the relationship between our results and recently reported physiological findings regarding face-responsive neurons in the inferior temporal cortex.
dc.description12 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9911187
dc.identifierhttp://arxiv.org/abs/cond-mat/9911187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29916
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectQuantitative Biology
dc.titleMixed state on a sparsely encoded associative memory model
dc.typetext

Files

Collections

arXiv