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In a linear autoassociative network, if input is noisy than output will be noisy?

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In a linear autoassociative network, if input is noisy than output will be noisy? (a) yes (b) no This question was addressed to me at a job interview. My question comes from Analysis of Pattern Storage topic in chapter Feedforward Neural Networks of Neural Networks Please answer the above question.

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The correct option is (a) yes To explain I would say: Linear autoassociative network gives out, what is given to it as input.

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