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Author: Kirill Chernyshov

Affiliation: V. A. Trapeznikov Institute of Control Sciences, 65 Profsoyuznaya Street, Moscow and Russia

Keyword(s): Tsallis Divergence, System Identification, Mutual Information.

Related Ontology Subjects/Areas/Topics: Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control ; System Identification

Abstract: The measure of divergence and the corresponding Hellinger-Tsallis mutual information have been introduced within the information-theoretic approach to system identification based on Tsallis divergence and Hellinger distance properties for a pair of probability distributions to be used in statistical linearization problems. The introduced measure in this case is used ambivalently: as mutual information, a measure of random vector dependence, — as a criterion of statistical linearization of multidimensional stochastic systems, and as a measure of divergence of probability distributions — as an anisotropic norm of input process used to quantify the correspondence between the observable data and the assumptions of the original problem statement as such.

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Paper citation in several formats:
Chernyshov, K. (2019). Tsallis Divergence of Order 1/2 in System Identification Related Problems. In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-380-3; ISSN 2184-2809, SciTePress, pages 523-533. DOI: 10.5220/0007919105230533

@conference{icinco19,
author={Kirill Chernyshov.},
title={Tsallis Divergence of Order 1/2 in System Identification Related Problems},
booktitle={Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2019},
pages={523-533},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007919105230533},
isbn={978-989-758-380-3},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Tsallis Divergence of Order 1/2 in System Identification Related Problems
SN - 978-989-758-380-3
IS - 2184-2809
AU - Chernyshov, K.
PY - 2019
SP - 523
EP - 533
DO - 10.5220/0007919105230533
PB - SciTePress

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