Bates, Ron A., Maruri-Aguilar, Hugo and Wynn, Henry P. (2013) Smooth saturated models. Journal of Statistical Computation and Simulation, online . ISSN 0094-9655 (In Press)
In areas such as kernel smoothing and non-parametric regression, there is emphasis on smooth interpolation. We concentrate on pure interpolation and build smooth polynomial interpolators by first extending the monomial (polynomial) basis and then minimizing a measure of roughness with respect to the extra parameters in the extended basis. Algebraic methods can help in choosing the extended basis. We get arbitrarily close to optimal smoothing for any dimension over an arbitrary region, giving simple models close to splines. We show in examples that smooth interpolators perform much better than straight polynomial fits and for small sample size, better than kriging-type methods, used, for example in computer experiments.
|Additional Information:||© 2013 Taylor and Francis Group, LLC|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Research centres and groups > Decision Support and Risk Group (DSRG)|
|Date Deposited:||30 Aug 2013 13:10|
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