A LOWER BOUND FOR THE MEMORY CAPACITY IN THE POTTS-HOPFIELD MODEL

被引:9
作者
FERRARI, PA
MARTINEZ, S
PICCO, P
机构
[1] UNIV CHILE,DEPT INGN MATEMAT,SANTIAGO 3,CHILE
[2] CNRS,CTR PHYS THEOR,LAB PROPRE 7061,F-13288 MARSEILLE 9,FRANCE
关键词
NEURAL NETWORK; HOPFIELD MODEL; POTTS MODEL;
D O I
10.1007/BF01054440
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider Potts-Hopfield networks of size N. We prove the result: reversed capital E-alpha(c) > 0 such that for all 0 < alpha < alpha(c) we can find delta, epsilon > 0 in such a way that, when N --> infinity, we can store alpha-N patterns, all of them being sorrounded by epsilon-energy barriers at distance delta.
引用
收藏
页码:1643 / 1652
页数:10
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