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Neural Processing Letters
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Abstract: We show that, for feedforward nets with a single hidden layer, a single output node, and a ''transfer function'' Tanh s, the net is uniquely determined by its input-output map, up to an obvious finite group of symmetries (permutations of the hidden nodes, and changing the sign of all the weights associated to a particular hidden node), provided that the net is irreducible (i.e., that there does not exist an inner node that makes a zero contribution to the output, and there is no pair of hidden nodes that could be collapsed to a single node without altering the inputoutput map).