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Optimal quantization for the one–dimensional uniform distribution with Rényi- $α$ -entropy constraints

Wolfgang Kreitmeier — 2010

Kybernetika

We establish the optimal quantization problem for probabilities under constrained Rényi- $α$ -entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases $α = 0$ (restricted codebook size) and $α = 1$ (restricted Shannon entropy).

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Optimal quantization for the one–dimensional uniform distribution with Rényi- α -entropy constraints

Optimal quantization for the one–dimensional uniform distribution with Rényi- $α$ -entropy constraints