Basis Expansions and Regularization. Based on Chapter 5 of Hastie, Tibshirani and Friedman (Prepared by David Madigan). Basis Expansions for Linear Models. Here the h m ’s might be:. h m ( X )= X m , m =1,…, p recovers the original model h m ( X )= X j 2 or h m ( X )= X j X k

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