Growth of correlation in the Hopfield model |
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Authors: | P Sen |
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Institution: | (1) Saha Institute of Nuclear Physics, 1/AF Bidhannagar, 700064 Calcutta, India |
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Abstract: | Introducing a finite correlation
0 between any two learned patterns (others remaining uncorrelated), we observe in a numerical simulation that the Hopfield model stores these two patterns with correlation
f such that
f![ges](/content/mj7314637m750652/xxlarge10878.gif) 0 for any loading capacity . The patterns are memorized perfectly (with
f=
0) up to -0.05 for finite correlations
0 not exceeding a value
c( ), where
c( ) decreases continuously to zero at -0.05. |
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Keywords: | Correlated patterns Hopfield model noise dynamics |
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