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A norm selection criterion for the generalized delta rule

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1 Author(s)
Burrascano, P. ; INFO-COM Dept., Rome Univ., Italy

The derivation of a supervised training algorithm for a neural network implies the selection of a norm criterion which gives a suitable global measure of the particular distribution of errors. The author addresses this problem and proposes a correspondence between error distribution at the output of a layered feedforward neural network and Lp norms. The generalized delta rule is investigated in order to verify how its structure can be modified in order to perform a minimization in the generic Lp norm. The particular case of the Chebyshev norm is developed and tested

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Neural Networks, IEEE Transactions on  (Volume:2 ,  Issue: 1 )