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논문 기본 정보

자료유형
학술저널
저자정보
Masashi Sugiyama (Tokyo Institute of Technology) Song Liu (Tokyo Institute of Technology) Marthinus Christoffel du Plessis (Tokyo Institute of Technology) Masao Yamanaka (Tokyo Institute of Technology) Makoto Yamada (NTT Corporation) Taiji Suzuki (The University of Tokyo) Takafumi Kanamori (Nagoya University)
저널정보
Korean Institute of Information Scientists and Engineers Journal of Computing Science and Engineering Journal of Computing Science and Engineering Vol.7 No.2
발행연도
2013.6
수록면
99 - 111 (13page)

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초록· 키워드

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Approximating a divergence between two probability distributions from their samples is a fundamental challenge in statistics, information theory, and machine learning. A divergence approximator can be used for various purposes, such as two-sample homogeneity testing, change-point detection, and class-balance estimation. Furthermore, an approximator of a divergence between the joint distribution and the product of marginals can be used for independence testing, which has a wide range of applications, including feature selection and extraction, clustering, object matching, independent component analysis, and causal direction estimation. In this paper, we review recent advances in divergence approximation. Our emphasis is that directly approximating the divergence without estimating probability distributions is more sensible than a naive twostep approach of first estimating probability distributions and then approximating the divergence. Furthermore, despite the overwhelming popularity of the Kullback-Leibler divergence as a divergence measure, we argue that alternatives such as the Pearson divergence, the relative Pearson divergence, and the L2-distance are more useful in practice because of their computationally efficient approximability, high numerical stability, and superior robustness against outliers.

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Abstract
Ⅰ. INTRODUCTION
Ⅱ. DIVERGENCE MEASURES
Ⅲ. DIRECT DIVERGENCE APPROXIMATION
Ⅳ. USAGE OF DIVERGENCE APPROXIMATORS IN MACHINE LEARNING
Ⅴ. CONCLUSIONS
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UCI(KEPA) : I410-ECN-0101-2014-560-003275794