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  • We obtain the prediction on the training data from: Y^=ΦB(15) =ΦΦTU(TTΦΦTU)-1TTY(16) =KU(TTKU)-1TTY. (17) To exclude the bias term, we assume that the responses and the predictors are set to have zero mean in the feature space by applying the following procedure to test kernel Kt and training kernel K [31]: Kt←(Kt-1n1nt1nTK)(In-1n1n1nT)(18) K←(In-1n1n1nT)K(In-1n1n1nT),(19) where 1n represents the n-length vector whose n elements are 1.
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