Gaussian Process Regression with Measurement Error
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概要
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Regression analysis that incorporates measurement errors in input variables is important in various applications. In this study, we consider this problem within a framework of Gaussian process regression. The proposed method can also be regarded as a generalization of kernel regression to include errors in regressors. A Markov chain Monte Carlo method is introduced, where the infinite-dimensionality of Gaussian process is dealt with a trick to exchange the order of sampling of the latent variable and the function. The proposed method is tested with artificial data.
- 2010-10-01
著者
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Iba Yukito
Department Of Statistical Modeling The Institute Of Statistical Mathematics And Department Of Statis
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AKAHO Shotaro
Human Technology Research Institute, National Institute of Advanced Industrial Science and Technolog
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Akaho Shotaro
Human Technology Research Institute National Institute Of Advanced Industrial Science And Technology