Results 11 to 20 of about 5,783,771 (297)
Efficient algorithms for robust generalized cross-validation spline smoothing [PDF]
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lukas, M.A. +2 more
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Fast generalized cross validation using Krylov subspace methods
Numerical Algorithms, 2008 The key step of the generalized cross-validation (GCV) method, used in a smoothing spline fitting of noisy data, is the computation of the optimal parameter \(\lambda \) by minimization of the GCV function \[ \text{GCV}(\lambda )= n\, {z^T (Q+\lambda I)^{-2} z \over [ \text{tr}\, ((Q+\lambda I)^{-1})]^2}, \] for the influence matrix \(Q\) and the ...
Roger B. Sidje +2 more
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Journal of Computational and Graphical Statistics, 2004 This article presents a modified Newton method for minimizing multidimensional bandwidth selection for estimation in generalized additive models. The method is based on the generalized cross-validation criterion applied to backfitting estimates. The approach in particular is applicable to higher dimensional problems and provides a computationally ...
Kauermann, Göran, Opsomer, JD
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Generalized cross validation for ℓp-ℓq minimization [PDF]
Numerical Algorithms, 2021 AbstractDiscrete ill-posed inverse problems arise in various areas of science and engineering. The presence of noise in the data often makes it difficult to compute an accurate approximate solution. To reduce the sensitivity of the computed solution to the noise, one replaces the original problem by a nearby well-posed minimization problem, whose ...
Buccini A., Reichel L.
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Applied Sciences, 2021 The inversion of potential field data has widely utilized the generalized cross-validation (GCV) and the unbiased predictive risk estimator (UPRE) methods to determine the regularization parameter.
Yuan Fang +3 more
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Applied Sciences, 2020 Smoothing is one of the fundamental procedures in functional data analysis (FDA). The smoothing parameter λ influences data smoothness and fitting, which is governed by selecting automatic methods, namely, cross-validation (CV) and generalized ...
Muhammad Athif Mat Zin +3 more
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Procrustes Cross-Validation — a Bridge Between Cross-Validation and Independent Validation Set [PDF]
, 2020 In this paper we propose a new approach for validation of chemometric models. It is based on k-fold cross-validation algorithm, but, in contrast to conventional cross-validation, our approach makes possible to create a new dataset, which carries sampling
Sergei, Zhilin +3 more
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IEEE Access, 2021 Electrical impedance tomography (EIT) is a noninvasive functional diagnostic technique that has been successfully applied to human lung and brain. EIT reconstruction is an ill-conditioned problem: the regularization parameters establish a trade-off ...
Weirui Zhang +8 more
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Goodness of Fit Test of an Autocorrelated Time Series Cubic Smoothing Spline Model
Journal of Nigerian Society of Physical Sciences, 2021 We investigated the finite properties as well as the goodness of fit test for the cubic smoothing spline selection methods like the Generalized Maximum Likelihood (GML), Generalized Cross-Validation (GCV) and Mallow CP criterion (MCP) estimators for time-
Samuel Olorunfemi Adams +2 more
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Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
CoRR, 2023 47 pages, 11 figures; this version fixes minor typos.
Jin-Hong Du +2 more
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