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Fig. 9. Expected Distribution of MACA (n =30) withmultiple attractors ( m = 1,2,3,4)
A
x
Class 2
y
Class 1
a '
d
c
b
b'
c'
d '
0
n/2
0
0
HD
HD
Fig. 10. Distribution of patterns in class 1 and class 2
EO ( r, m )= N MACA ( r, m ) /N UB ( r, m )
(4)
where N UB ( r, m ) shows the expected number of patterns with weight r in an
( n − m ) dimensional vector subspace. N MACA ( r, m ) = the expected number of
patterns with weight r in the zero basin of an MACA with 2 m attractors. The
entire equation is specific for a particular n . It has been shown [3] that the bias
of the zero basin for low weight ( r ) states ( r<<n ) creeps up due to the three
neighborhood constraints of the CA [3].
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