On Generalized Cross-Validation for Multivariate Smoothing Spline Functions

DOI10.1137/0908056zbMath0622.65008OpenAlexW2061134149MaRDI QIDQ3759794

Florencio I. Utreras

Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908056

zbMATH Keywords

consistencysmoothing splinesmultivariatethin-plateasymptotic optimality conditiongeneralized cross- validationthin splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (6)

Asymptotic optimality of generalized cross-validation for choosing the regularization parameter ⋮ A two-step method for interpolating interval data based on cubic Hermite polynomial models ⋮ Curve mesh fairing and $GC^2$ surface interpolation ⋮ Smoothing inversion of Fourier series using generalized cross-validation ⋮ Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces ⋮ Performance criteria and discrimination of extreme undersmoothing in nonparametric regression

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