Statistical Mechanical Development of a Sparse Bayesian Classifier(General)

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概要

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• The demand for extracting rules from high dimensional real world data is increasing in various fields. However, the possible redundancy of such data sometimes makes it difficult to obtain a good generalization ability for novel samples. To resolve this problem, we provide a scheme that reduces the effective dimensions of data by pruning redundant components for bicategorical classification based on the Bayesian framework. First, the potential of the proposed method is confirmed in ideal situations using the replica method. Unfortunately, performing the scheme exactly is computationally difficult. So, we next develop a tractable approximation algorithm, which turns out to offer nearly optimal performance in ideal cases when the system size is large. Finally, the efficacy of the developed classifier is experimentally examined for a real world problem of colon cancer classification, which shows that the developed method can be practically useful.

• 一般社団法人日本物理学会の論文
• 2005-08-15

著者

• Uda Shinsuke

  Department Of Biophysics And Biochemistry Graduate School Of Science University Of Tokyo

• Kabashima Yoshiyuki

  Department of Computational Intelligence and Systems Science, Tkyo Institute of Technology

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