# Convergence of Smoothed Empirical Measures with Applications to Entropy Estimation

Ziv Goldfeld

IEEE Transactions on Information Theory, pp. 4368-4391, 2020.

Cited by: 9|Views36
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Abstract:

This paper studies convergence of empirical measures smoothed by a Gaussian kernel. Specifically, consider approximating $P\ast \mathcal {N}_\sigma$ , for $\mathcal {N}_\sigma \triangleq \mathcal {N}(0,\sigma ^{2} \mathrm {I}_{d})$ , by $\hat {P}_{n}\ast \mathcal {N}_\sigma$ under different statistical distances, where \$\hat {P}_{n...More

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