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Fast Generalized Cross-Validation Algorithm for Sparse Model Learning
We propose a fast, incremental algorithm for designing linear regression models. The proposed algorithm generates a sparse model by optimizing multiple smoothing parameters using the generalized cross-validation approach. The performances on synthetic and real-world data sets are compared with other incremental algorithms such as Tipping and Faul's ...
Sundararajan, S +2 more
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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, Marcotte Denis
exaly +2 more sources
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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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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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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Global optimization of the generalized cross-validation criterion
Statistics and Computing, 2000Generalized cross-validation is a method for choosing the smoothing parameter in smoothing splines and related regularization problems. This method requires the global minimization of the generalized cross-validation function. In this paper an algorithm based on interval analysis is presented to find the globally optimal value for the smoothing ...
John T. Kent, Mohsen Mohammadzadeh
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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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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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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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Generating a Valid Questionnaire Translation for Cross-Cultural Use
The American Journal of Occupational Therapy, 2002Abstract Occupational therapists who are interested in exporting occupational science concepts or occupational therapy practice principles to different cultural groups often encounter problems surrounding the translation of information from one language to another.
Chia-Ting, Su, L Diane, Parham
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