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math.ST2018
Convergence rate of optimal quantization grids and application to empirical measure
Yating Liu, Gilles Pagès
We study the convergence rate of the optimal quantization for a probability measure sequence on converging in the Wasserstein distan…
math.PR2018★ 3 cited
Characterization of probability distribution convergence in Wasserstein distance by -quantization error function
Yating Liu, Gilles Pagès
We establish conditions to characterize probability measures by their -quantization error functions in both and Hilbert settings. This characterization is t…