Statistical aspects of model selection
From data to model
A Study of Methods of Choosing the Smoothing Parameter in Image Restoration by Regularization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Bayesian and regularization methods for hyperparameter estimation in image restoration
IEEE Transactions on Image Processing
General choice of the regularization functional in regularized image restoration
IEEE Transactions on Image Processing
On some Bayesian/regularization methods for image restoration
IEEE Transactions on Image Processing
A network of networks processing model for image regularization
IEEE Transactions on Neural Networks
Weight assignment for adaptive image restoration by neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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In this brief, the image restoration problem is approached as a learning system problem, in which a model is to be selected and parameters are estimated. Although the parameters which correspond to the restored image can easily be obtained, their quality depend heavily on a proper choice of the regularization parameter that controls the tradeoff between fidelity to the blurred noisy observed image and the smoothness of the restored image. By analogy between the model selection philosophy that constitutes a fundamental task in systems learning and the choice of the regularization parameter, two criteria are proposed in this brief for selecting the regularization parameter. These criteria are based on Bayesian arguments and the Kullback-Leibler divergence and they can be considered as extensions of the Bayesian information criterion (BIC) and the Akaike information criterion (AIC) for the image restoration problem.