Estimating Renyi Entropy of Discrete Distributions

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Minimax Estimation of the $L_1$ Distance (2017, background): “There has been a recent wave of study on functional estimation of high dimensional parameters [6]–[9], and it was shown in Jiao et al.”
Differentially Private Testing of Identity and Closeness of Discrete Distributions (2017, background): “(2000, 2001); Goldreich and Ron (2000); Batu (2001); Paninski (2008); Acharya et al. (2013, 2014); Chan et al. (2014); Diakonikolas et al.”
Maximum Likelihood Estimation of Functionals of Discrete Distributions (2014, methodology): “Second, performance analysis for the MLE reveals regimes where the problem is difficult, and motivates the development of improvements, which have been validated in [10], [14]–[18], [21], [22].”