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Neural Information Processing Systems 

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. Review for Exponential Concentration of a Density Functional Estimator This paper derives an exponential concentration inequality for a plug-in estimator of a class of integral functionals of one or more continuous probability densities, which includes entropy, divergence, mutual information, and others. From the concentration inequality and an analysis of the bias, mean squared error convergence rates of the estimator are derived. It is then shown how the concentration inequality can be used to find bounds on the error of an estimator for conditional mutual information. This work could be significant in that the results can be applied to a large class of integral functionals of probability densities.