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Generalized cross validation for wavelet thresholding
Signal Processing, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maarten Jansen +2 more
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Improving ESVM with Generalized Cross-Validation
2015 International Joint Conference on Neural Networks (IJCNN), 2015ELM works for the “generalized” singlehidden layer feedforward networks (SLFNs) but the hidden layer (or called feature mapping) in ELM needs not be tuned. Extreme Support Vector Machine (ESVM), combining Support Vector Machine (SVM) and Extreme Learning Machine (ELM) kernels, can lead to a better prediction capability.
Tianshu Feng +2 more
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Generalized Cross Validation in variable selection with and without shrinkage [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maarten Jansen
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Generalized Cross Validation for Multiwavelet Shrinkage
IEEE Signal Processing Letters, 2004Traditional multiwavelet shrinkage denoising techniques require a priori knowledge of noise variance that may not be obtained in some practical situations. By using generalized cross validation (GCV), we propose in this paper a new level-dependent risk estimator for multiwavelet shrinkage that does not require such a priori information.
Tai-Chiu Hsung, Daniel Pak-Kong Lun
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On Generalized Cross Validation for Tensor Smoothing Splines
SIAM Journal on Scientific and Statistical Computing, 1990The natural tensor-product smoothing spline is one of the methods of choice for fitting noisy data given on a grid. A generalized cross-validation procedure for automatic selection of the smoothing parameter in the method is introduced. It is shown that as in the well-known univariate and thin plate spline cases, the method selects the parameter in an ...
Larry L. Schumaker, Florencio I. Utreras
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Blur identification by the method of generalized cross-validation
IEEE Transactions on Image Processing, 1992The point spread function (PSF) of a blurred image is often unknown a priori; the blur must first be identified from the degraded image data before restoring the image. Generalized cross-validation (GCV) is introduced to address the blur identification problem.
Stanley J. Reeves, Russell M. Mersereau
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Cross-Validating Non-Gaussian Data: Generalized Approximate Cross-Validation Revisited
Journal of Computational and Graphical Statistics, 2001This article presents an alternative derivation of the generalized approximate crossvalidation (GACV) score of Xiang and Wahba (1996) for smoothing parameter selection in penalized likelihood regression. The new derivation suggests a simple numerical solution that is stable for all sample sizes.
Chong Gu, Dong Xiang
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Generalized cross-validation for covariance model selection
Mathematical Geosciences, 1995A weighted cross-validation technique known in the spline literature as generalized cross-validation (GCV), is proposed for covariance model selection and parameter estimation. Weights for prediction errors are selected to give more importance to a cluster of points than isolated points.
Denis Marcotte
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Wavelet shrinkage and generalized cross validation for image denoising
IEEE Transactions on Image Processing, 1998We present a denoising method based on wavelets and generalized cross validation and apply these methods to image denoising. We describe the method of modified wavelet reconstruction and show that the related shrinkage parameter vector can be chosen without prior knowledge of the noise variance by using the method of generalized cross validation.
Norman Weyrich, Gregory T. Warhola
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Efficient generalized cross-validation for state space models
Biometrika, 1987The initial model considered is \(y(i)=s(i)+e(i)\), \(i=1,...,n\), where s(i) is an unobserved Gaussian signal and the e(i) are independent \(N(0,\sigma^ 2)\) and independent of s(i). The s(i) are generated by the state space model \[ (*)\quad s(i)=h(i,\theta)'x(i),\quad x(i+1)=F(i,\theta)x(i)+u(i) \] where u(i) is a sequence of q-dimensional ...
Ansley, Craig F., Kohn, Robert
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