Development of Learning Theory based on Information Measure

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We studied machine learning, information theory, and other related topics from a unified viewpoint of minimum description length principle (MDL principle). In particular, we obtained the new sight on the relation between geometrical structure of tree models and stochastic complexity (SC) and that between communication channel capacity and SC. We also studied ensemble learning and kernel method, and obtained efficient learning method for them. Further, on the basis of the fundamental knowledge obtained in this research, we proposed new learning based methods for incident detection in network security, universal portfolio, super resolution etc., and showed their efficiency.