UniversalLs-rate-optimality ofLr-optimal quantizers by dilatation and contraction

DOI10.1051/ps:2008008zbMath1193.60055arXiv0707.1808OpenAlexW2153364750MaRDI QIDQ5851019

Abass Sagna

Publication date: 21 January 2010

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1808

zbMATH Keywords

dilatationGaussian distributionLloyd's algorithmempirical measure theoremrate-optimal quantizers

Mathematics Subject Classification ID

Gaussian processes (60G15) Signal detection and filtering (aspects of stochastic processes) (60G35) Uniqueness of best approximation (41A52)

Related Items (1)

Asymptotics of the maximal radius of an \(L^{r}\)-optimal sequence of quantizers

Cites Work

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• Asymptotics of optimal quantizers for some scalar distributions
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• AN OPTIMAL MARKOVIAN QUANTIZATION ALGORITHM FOR MULTI-DIMENSIONAL STOCHASTIC CONTROL PROBLEMS
• Distortion mismatch in the quantization of probability measures

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