Communication-Efficient Distributed Learning of Discrete Probability Distributions

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Lower Bounds for Learning Distributions under Communication Constraints via Fisher Information (2019, background): “The high-dimensional discrete distribution estimation problem is studied in [7], [8], where extensions to distributed property testing are studied in [9], [10].”
Minimax Bounds for Distributed Logistic Regression (2019, background): “In other works, the statistical task of interest is estimating a high-dimensional discrete distribution (Diakonikolas et al., 2017; Han et al., 2018a) or distributed property testing (Acharya et al., 2018a,b).”