Convergence of Smoothed Empirical Measures with Applications to Entropy Estimation

© 1963-2012 IEEE. This paper studies convergence of empirical measures smoothed by a Gaussian kernel. Specifically, consider approximating P* Nσ, for Nσ ≜ N (0,σ 2 I d), by hat P n∗ Nσ under different statistical distances, where hat P n is the empirical measure. We examine the convergence in terms...

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Bibliographic Details
Main Authors: Goldfeld, Ziv, Greenewald, Kristjan, Niles-Weed, Jonathan, Polyanskiy, Yury
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/135991