On the Hopfield model at the critical temperature
成果类型：
Article
署名作者：
Talagrand, M
署名单位：
Sorbonne Universite; University System of Ohio; Ohio State University
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/PL00008804
发表日期：
2001
页码：
237-268
关键词：
摘要：
We study the Hopfield model at temperature 1, when the number M(N) of patterns grows a bit slower than N. We reach a good understanding of the model whenever M(N) less than or equal to N/(log N)(11). For example, we show that if M(N) --> infinity, for two typical configurations sigma (1), sigma (2), (Sigma (i less than or equal toN)sigma (1)(i)sigma (2)(i))(2) is close to NM(N).