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On joint conditional complexity (Entropy)
Proceedings of the Steklov Institute of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vereshchagin, N. K., Muchnik, An. A.
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Conditional entropy and error probability
2008 IEEE International Symposium on Information Theory, 2008Fano's inequality relates the error probability and conditional entropy of a finitely-valued random variable X given another random variable Y. It is not necessarily tight when the marginal distribution of X is fixed. In this paper, we consider both finite and countably infinite alphabets.
null Siu-Wai Ho, Sergio Verdu
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2020 10th International Conference on Advanced Computer Information Technologies (ACIT), 2020
the aim of our paper is make survey of conditional entropy of DNA and compare it to conditional entropy of human languages. We have not been able to prove the hypothesis that conditional entropy of human languages and DNA are similar. However, it has been shown that conditional entropy of DNA apparently differs from conditional entropy of randomly ...
Marta Vohnoutova +3 more
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the aim of our paper is make survey of conditional entropy of DNA and compare it to conditional entropy of human languages. We have not been able to prove the hypothesis that conditional entropy of human languages and DNA are similar. However, it has been shown that conditional entropy of DNA apparently differs from conditional entropy of randomly ...
Marta Vohnoutova +3 more
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The conditional average entropies
Communications in Statistics - Theory and Methods, 2020This paper introduces two more definitions of the conditional average entropy. Some properties of the three definitions are studied and some mistakes in the preceding literature are corrected.
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2015
Conditional Entropies are measures of the uncertainty inherent in a system from the perspective of an observer who is given side information on the system. The system as well as the side information can be either classical or a quantum. The goal in this chapter is to define conditional Renyi entropies that are operationally significant measures of this
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Conditional Entropies are measures of the uncertainty inherent in a system from the perspective of an observer who is given side information on the system. The system as well as the side information can be either classical or a quantum. The goal in this chapter is to define conditional Renyi entropies that are operationally significant measures of this
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Physica Scripta
Abstract In the era of rapid development of quantum mechanics, some issues in the field of quantum information have become increasingly important. Local quantum Bernoulli noises (LQBNs) is a localized Bernoulli functional, and it is the localization of quantum Bernoulli noises (QBNs).
Qi Han +3 more
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Abstract In the era of rapid development of quantum mechanics, some issues in the field of quantum information have become increasingly important. Local quantum Bernoulli noises (LQBNs) is a localized Bernoulli functional, and it is the localization of quantum Bernoulli noises (QBNs).
Qi Han +3 more
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Fuzzy entropy and conditioning
Information Sciences, 1986A new nonprobabilistic entropy measure is introduced in the context of fuzzy sets or messages. Fuzzy units, or fits, replace bits in a new framework of fuzzy information theory. An appropriate measure of entropy or fuzziness of messages is shown to be a simple ratio of distances: the distances between the fuzzy message and its nearest and farthest ...
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Israel Journal of Mathematics, 1990
Let T be a self homeomorphism of a compact metric space X. Suppose that \({\mathcal E}=\{E_ 1,E_ 2,...\}\) is a sequence of Borel subsets of X. \({\mathcal E}\) is said to be a separator if \(\lim_{n\to \infty}E_ n\) has invariant measure zero and if \({\mathcal E}'\) is an infinite sub-collection of sets from \({\mathcal E}\) and x, y are distinct ...
Auslander, Joseph, Berg, K.
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Let T be a self homeomorphism of a compact metric space X. Suppose that \({\mathcal E}=\{E_ 1,E_ 2,...\}\) is a sequence of Borel subsets of X. \({\mathcal E}\) is said to be a separator if \(\lim_{n\to \infty}E_ n\) has invariant measure zero and if \({\mathcal E}'\) is an infinite sub-collection of sets from \({\mathcal E}\) and x, y are distinct ...
Auslander, Joseph, Berg, K.
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Fuzzy σ-algebras and conditional entropy
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximum Entropy Condition in Queueing Theory
Journal of the Operational Research Society, 1986The main results in queueing theory are obtained when the queueing system is in a steady-state condition and if the requirements of a birth-and- death stochastic process are satisfied. The aim of this paper is to obtain a probabilistic model when the queueing system is in a maximum entropy condition.
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