Convergence of Smoothed Empirical Measures With Applications to Entropy Estimation

DOI10.1109/TIT.2020.2975480zbMath1446.62129arXiv1905.13576OpenAlexW3008527562MaRDI QIDQ5124434

Jonathan Niles-Weed, Ziv Goldfeld, Yury Polyanskiy, Kristjan Greenewald

Publication date: 29 September 2020

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13576

zbMATH Keywords

Gaussian kernelWasserstein distancetotal variation (TV)Kullback-Leibler (KL) divergence\(\chi 2\)-divergence

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Convergence of probability measures (60B10) Measures of information, entropy (94A17)

Related Items (1)

Asymptotics of smoothed Wasserstein distances

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