Minimax estimation of the L1 distance

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A Unified Maximum Likelihood Approach for Estimating Symmetric Properties of Discrete Distributions (2017, background): “The estimator proposed in (Jiao et al., 2016) is slightly different, assigning GL,g(Nx) for the first two cases.”
Minimax Rate-optimal Estimation of KL Divergence between Discrete Distributions (2016, unknown): “, the scaled 1 norm 1 n ∑n i=1 |θi| in the Gaussian model [11], the Shannon entropy ∑S i=1 −pi ln pi [1], [12]–[14], the mutual information [1], the power sum function ∑S i=1 p α i [1], the Rényi entropy ln ∑S i=1 p α i 1−α [15] and the L1 distance ∑S i=1 |pi − qi| [16] in Multinomial and Poisson mo”
Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimism (2021, background): “Proof: The proof is adapted from that of Lemma 21 in [92].”
Maximum Likelihood Estimation of Functionals of Discrete Distributions (2014, unknown): “[25], Bu et al.”