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Distortion mismatch in the quantization of probability measures

Abstract : We elucidate the asymptotics of the L^s-quantization error induced by a sequence of L^r-optimal n-quantizers of a probability distribution P on R^d when s>r. In particular we show that under natural assumptions, the optimal rate is preserved as long as s
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Submitted on : Friday, February 17, 2006 - 5:24:12 PM
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Siegried Graf, Harald Luschgy, Gilles Pagès. Distortion mismatch in the quantization of probability measures. ESAIM: Probability and Statistics, EDP Sciences, 2008, 12, 127-153 ; ⟨10.1051/ps:2007044⟩. ⟨hal-00019228⟩



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