Toric Modification on Mixture Models

author: Keisuke Yamazaki, Tokyo Institute of Technology
author: Sumio Watanabe, Tokyo Institute of Technology
published: Dec. 20, 2008,   recorded: December 2008,   views: 3766


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In the Bayes estimation, it was pointed out that resolution of singularity provides an algorithm to elucidate the generalization performance of learning machines. However, there is no effective procedure to find the resolution map. This presentation proposes a new method to find it based on the toric modification, using Newton diagram. By the proposed method, learning curves of several hierarchical models are clarified.

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