Let [−1, −1, −1, −1], [1, −1, 1, 1], and [1, −1, −1, 1] be three patterns. Identify two among these, says (1) and s(2), which can be stored in a 4-input auto-associative neural net. Find the weight matrix of the net and set its diagonal elements to 0s. Then carry out the following tasks with the net obtained. (I) Test the net with the two stored vectors s1 and s2 . (ii) Set the third element of s1 and the first element of s2 to 0s, indicating that values for these elements are missing in the input. Test the network with these noisy inputs. (iii) Carry out the task mentioned above with two, instead of one, arbitrarily chosen missing elements. (iv) Insert a mistake in each of the positions mentioned above by flipping the corresponding values (replacing 1 by −1, and vice versa). Test the network with these erroneous inputs.
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