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Optimal signal estimation using cross-validation


Author(s) : Robert D. Nowak, 
Publisher : N/A
Publication Date : 1997
ISSN : N/A
Abstract : Abstract---This letter develops an optimal, nonlinear estimator of a deterministic signal in noise. The methods of penalized least squares and cross validation balance the bias-variance tradeoff and lead to a closed form expression for the estimator. The estimator is simultaneously optimal in a "small-sample, " predictive sum of squares sense and asymptotically optimal in the mean square sense.,