Presentation 2010-07-27
Hierarchical Bayes method for NIRS-DOT inverse problem and its phase diagrams
Atsushi MIYAMOTO, Kazuho WATANABE, Kazushi IKEDA, Masa-aki SATO,
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Abstract(in English) NIRS-DOT is a method to reconstruct tomographic images from the data by solving the linear equations, which have ambiguity. In a previous study, a solution to this problem is obtained by the minimum-norm estimation. However, this gives poor results because it does not take into account the localization of brain activity. The hierarchical Bayes framework is convenient to introduce the localization or sparsity into the model. In fact, it works well in the inverse problem of Magnetoencephalography (MEG) current source estimation. In this study, we apply the hierarchical Bayes framework to the inverse problem of the NIRS-DOT. The framework has the two prior hyperparameters that influence the reconstruction accuracy and sparsity. We observed that the phase transition occurs with respect to the hyperparameters, which causes a sudden change in the estimation. Numerical experiments show phase diagrams and the relationship between the hyperparameters and the estimation. This study gives the insight into how to set hyperparameters of the hierarchical Bayes.
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Keyword(in English) variational Bayes / phase transition / phase diagram / sparseness / NIRS-DOT / inverse problem
Paper # NC2010-38
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Committee NC
Conference Date 2010/7/20(1days)
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Language JPN
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Title (in English) Hierarchical Bayes method for NIRS-DOT inverse problem and its phase diagrams
Sub Title (in English)
Keyword(1) variational Bayes
Keyword(2) phase transition
Keyword(3) phase diagram
Keyword(4) sparseness
Keyword(5) NIRS-DOT
Keyword(6) inverse problem
1st Author's Name Atsushi MIYAMOTO
1st Author's Affiliation Nara Institute of Science and Technology()
2nd Author's Name Kazuho WATANABE
2nd Author's Affiliation Nara Institute of Science and Technology
3rd Author's Name Kazushi IKEDA
3rd Author's Affiliation Nara Institute of Science and Technology
4th Author's Name Masa-aki SATO
4th Author's Affiliation Computational Neuroscience Labs, ATR International
Date 2010-07-27
Paper # NC2010-38
Volume (vol) vol.110
Number (no) 149
Page pp.pp.-
#Pages 6
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