Erratum: Second-order approximation of the entropy in nonlinear least-squares estimation
Luc Pronzato, Andrej Pázman (1996)
Kybernetika
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Luc Pronzato, Andrej Pázman (1996)
Kybernetika
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Malwina Janiszewska, Augustyn Markiewicz, Monika Mokrzycka (2020)
Applications of Mathematics
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The aim of the paper is to present a procedure for the approximation of a symmetric positive definite matrix by symmetric block partitioned matrices with structured off-diagonal blocks. The entropy loss function is chosen as approximation criterion. This procedure is applied in a simulation study of the statistical problem of covariance structure identification.
Andrej Pázman (1996)
Kybernetika
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Wolfgang Kreitmeier (2010)
Kybernetika
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We establish the optimal quantization problem for probabilities under constrained Rényi--entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases (restricted codebook size) and (restricted Shannon entropy).