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Consider general Gaussian basis function of the form: 1 = 2 = /1 (2) xp { - 1 (2 - 1 ) 8 -

Consider general Gaussian basis function of the form: 1 = 2 = /1 (2) "xp { - 1 (2 - 1 ) 8 - (2- exp{-1/(x-)TE-(x - -1)} with j(x): (32) Show that the mapping represented by such a network is equivalent to a that of a function: where 1 $(x) = -2/2/ /2T 1 (x' - Pr.j) {*}{*-*. X exp 6 exp x' y' = = x+y 2 X- y 2 2 Hy.j = = Haj + Hyj 2 Haj Hyj 2 (y' - 'y,j) 6

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