The patterns Xo, X1 and X2 are used to train a binary Hopfield neural network. The patterns are given as X, =[-1 1 1 X, = [1 -1 p1 1, 1 q 1 1]', . 1 -1] X, =[-1 1 -1r The connection matrix is found to be -3 +1 +1 -1 +1] -3 -1 -1 +1 -1 +1 W = -1 -1 +1 +3 +1 -1 -1 -3 +1 -1 +1 +1 -3 +1 +1 -1 +3 +1 +1 Determine p, q and r and E(X,), E(X,), E(X2). Perform two synchronous iterations of the network for the pattern S(0) =[1 -1 1 -1 1 1] and obtain E(s(0)), E(s(1)), E(s(2)). Comment on the results.

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The patterns Xo, X1 and X2 are used to train a binary Hopfield neural network. The patterns are
given as
p 1 1]',
X, = [1 -1 1 q 1 1]', .
1 -1]
X, =[-1 1 1
X, =[-1 1 -1 r
The connection matrix is found to be
-3 +1
+1
-1
+1
-3
-1
-1
+1 -1
+1
W =
-1
-1
+1
+3
+1 -1
-1
-3 +1
-1
+1 +1
-3
+1
+1 -1 +3 +1
+1
Determine p, q and r and E(X,), E(X¡), E(X2). Perform two synchronous iterations of the network
for the pattern S(0) =[1 -1 1 -1 1 1] and obtain E(s(0)), E(s(1)), E(s(2)). Comment on the
results.
Transcribed Image Text:The patterns Xo, X1 and X2 are used to train a binary Hopfield neural network. The patterns are given as p 1 1]', X, = [1 -1 1 q 1 1]', . 1 -1] X, =[-1 1 1 X, =[-1 1 -1 r The connection matrix is found to be -3 +1 +1 -1 +1 -3 -1 -1 +1 -1 +1 W = -1 -1 +1 +3 +1 -1 -1 -3 +1 -1 +1 +1 -3 +1 +1 -1 +3 +1 +1 Determine p, q and r and E(X,), E(X¡), E(X2). Perform two synchronous iterations of the network for the pattern S(0) =[1 -1 1 -1 1 1] and obtain E(s(0)), E(s(1)), E(s(2)). Comment on the results.
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