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Statistical methods in optimal curve fitting
Authors:Howard L. Weinert
Affiliation:Department of Electrical Engineering , The Johns Hopkins University , Baltimore, Maryland
Abstract:Many optimal curve fitting and approximation problems have the same structure as certain estimation problems involving random processes. This structural correspondence has many useful consequences for curve fitting problems, including recursive algorithms and computable error bounds. The basic facts of this correspondence are reviewed and some new results on error bounds and optimal sampling are presented.
Keywords:splines  reproducing kernels  interpolation  smoothing  least-squares estimation
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