Proves sharp rates E_q(μ_N, ω) ≍ N^{-(1/2)(1 + q/β)} for empirical energy distance approximation under Ahlfors regularity of exponent β.
On the rate of convergence in Wasserstein distance of the empirical measure.Probability Theory and Related Fields, 162(3–4):707–738
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Sharp Rates of MMD Empirical Estimation with Power Kernels
Proves sharp rates E_q(μ_N, ω) ≍ N^{-(1/2)(1 + q/β)} for empirical energy distance approximation under Ahlfors regularity of exponent β.