Momentum-Space Renormalization Group Transformation in Bayesian Image Modeling by Gaussian Graphical Model

03/20/2018 ∙ by Kazuyuki Tanaka, et al. ∙ Tohoku University 0

A new Bayesian modeling method is proposed by combining the maximization of the marginal likelihood with a momentum-space renormalization group transformation for Gaussian graphical models. Moreover, we present a scheme for computint the statistical averages of hyperparameters and mean square errors in our proposed method based on a momentumspace renormalization transformation.

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Acknowledgements

This work was partly supported by the JST-CREST (No.JPMJCR1402) for Japan Science and Technology Agency and the JSPS KAKENHI Grant (No.25120009 and No.15K20870).

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