资源论文Generalized Exponential Concentration Inequality for R´enyi Divergence Estimation

Generalized Exponential Concentration Inequality for R´enyi Divergence Estimation

2020-03-03 | |  68 |   47 |   0

Abstract

Estimating divergences in a consistent way is of great importance in many machine learning tasks. Although this is a fundamental problem in nonparametric statistics, to the best of our knowledge there has been no finite sample exponential inequality convergence bound derived for any divergence estimators. The main contribution of our work is to provide such a bound for an estimator of R´enyi-α divergence for a smooth H¨older class of densities on the d-dimensional unit cube 图片.png We also illustrate our theoreti cal results with a numerical experiment.

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