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Estimating Divergence Functionals and the Likelihood Ratio by Convex Risk Minimization

IEEE Transactions on Information Theory, no. 11 (2010): 5847-5861

引用451|浏览77
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摘要

We develop and analyze M-estimation methods for divergence functionals and the likelihood ratios of two probability distributions. Our method is based on a nonasymptotic variational characterization of f -divergences, which allows the problem of estimating divergences to be tackled via convex empirical risk optimization. The resulting est...更多

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