Error bounds for high-resolution quantization with Rényi-α-entropy constraints
نویسندگان
چکیده
منابع مشابه
Error Bounds for High-resolution Quantization with Rényi-α-entropy Constraints
We consider the problem of optimal quantization with norm exponent r > 0 for Borel probability measures on R under constrained Rényi-αentropy of the quantizers. If the bound on the entropy becomes large, then sharp asymptotics for the optimal quantization error are well-known in the special cases α = 0 (memory-constrained quantization) and α = 1 (Shannon-entropy-constrained quantization). In th...
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2010
ISSN: 0236-5294,1588-2632
DOI: 10.1007/s10474-010-9079-9