A HIGH-PRECISION STUDY OF THE HOPFIELD MODEL IN THE PHASE OF BROKEN REPLICA SYMMETRY

被引：34

作者：

KOHRING, GA

机构：

[1] HLRZ, c/o KFA Jülich, Jülich

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 59卷 / 3-4期

关键词：

Hopfield model; multispin coding; neural networks; replica method; spin glasses;

D O I：

10.1007/BF01025863

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a multi-spin coding algorithm, the Hopfield model is studied for network sizes up to N=33,968. Thermodynamically stable states are found in a region where the replica-symmetric solution predicts none should exist, but where a one-step replica symmetry-breaking calculation predicts some should exist. Furthermore, the order parameter in this region is found to take on two distinct values, one of which is not predicted by any theory. © 1990 Plenum Publishing Corporation.

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页码：1077 / 1086

页数：10

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