Results 21 to 30 of about 153,987 (282)

Sharp continuity bounds for entropy and conditional entropy [PDF]

Science China Physics, Mechanics & Astronomy, 2016
The Renyi entropy plays an essential role in quantum information theory. We study the continuity estimation of the Renyi entropy. An inequality relating the Renyi entropy difference of two quantum states to their trace norm distance is derived. This inequality is shown to be tight in the sense that equality can be attained for every prescribed value of
Chen, Zhihua, Ma, Zhihao, Nikoufar, Ismail, Fei, Shaoming   +3 more
openaire   +2 more sources

Variational Embedding Multiscale Sample Entropy: A Tool for Complexity Analysis of Multichannel Systems

Entropy, 2021
Entropy-based methods have received considerable attention in the quantification of structural complexity of real-world systems. Among numerous empirical entropy algorithms, conditional entropy-based methods such as sample entropy, which are associated ...
Hongjian Xiao, Danilo P. Mandic
doaj   +1 more source

Conditional Self-Entropy and Conditional Joint Transfer Entropy in Heart Period Variability during Graded Postural Challenge. [PDF]

PLoS ONE, 2015
Self-entropy (SE) and transfer entropy (TE) are widely utilized in biomedical signal processing to assess the information stored into a system and transferred from a source to a destination respectively.
Alberto Porta, Luca Faes, Giandomenico Nollo, Vlasta Bari, Andrea Marchi, Beatrice De Maria, Anielle C M Takahashi, Aparecida M Catai   +7 more
doaj   +1 more source

Computing conditional entropies for quantum correlations [PDF]

Nature Communications, 2021
AbstractThe rates of quantum cryptographic protocols are usually expressed in terms of a conditional entropy minimized over a certain set of quantum states. In particular, in the device-independent setting, the minimization is over all the quantum states jointly held by the adversary and the parties that are consistent with the statistics that are seen
Brown, Peter, Fawzi, Hamza, Fawzi, Omar
openaire   +5 more sources

R-Norm Entropy and R-Norm Divergence in Fuzzy Probability Spaces

Entropy, 2018
In the presented article, we define the R-norm entropy and the conditional R-norm entropy of partitions of a given fuzzy probability space and study the properties of the suggested entropy measures.
Dagmar Markechová, Batool Mosapour, Abolfazl Ebrahimzadeh   +2 more
doaj   +1 more source

The conditional entropy power inequality for quantum additive noise channels [PDF]

, 2018
We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the quantum conditional entropy of the output of an additive noise channel in terms of the quantum conditional entropies of the ...
De Palma, Giacomo, Huber, Stefan
core   +2 more sources

Conditional entropy maximization for PET [PDF]

SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483), 2004
Maximum Likelihood (ML) estimation is extensively used for estimating emission densities from clumped and incomplete measurement data in Positron Emission Tomography (PET) modality. Reconstruction produced by ML-algorithm has been found noisy because it does not make use of available prior knowledge. Bayesian estimation provides such a platform for the
Mondal, Partha Pratim, Rajan, K
openaire   +2 more sources

Entropy inequalities and Bell inequalities for two-qubit systems [PDF]

, 2003
Sufficient conditions for (the non-violation of) the Bell-CHSH inequalities in a mixed state of a two-qubit system are: 1) The linear entropy of the state is not smaller than 0.5, 2) The sum of the conditional linear entropies is non-negative, 3) The von
A. Fine, A. Garg, D. Fortunato, E. Santos, Emilio Santos, F. Capasso, J. F. Clauser, J. F. Clauser, N. Gisin, N. J. Cerf, N. J. Cerf, R. Horodecki, R. Horodecki, S. L. Braunstein, S. L. Braunstein, S. L. Braunstein, V. Vedral   +16 more
core   +7 more sources

Predicting Abnormal Laboratory Blood Test Results in the Intensive Care Unit Using Novel Features Based on Information Theory and Historical Conditional Probability: Observational Study

JMIR Medical Informatics, 2022
BackgroundRedundancy in laboratory blood tests is common in intensive care units (ICUs), affecting patients’ health and increasing health care expenses.
Camilo E Valderrama, Daniel J Niven, Henry T Stelfox, Joon Lee   +3 more
doaj   +1 more source

Information Entropy and Optimal Scale Combination in Multi-Scale Covering Decision Systems

IEEE Access, 2020
In the traditional covering information systems, each object has only one scale, that is, the single-scale covering information system. But in realistic applications, one often needs to process and analyze data in different scales. To solve this problem,
Dongxiao Chen, Jinjin Li, Rongde Lin, Yingsheng Chen   +3 more
doaj   +1 more source