Tsallis Divergence of Order 1/2 in System Identification Related Problems

Kirill Chernyshov

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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in Harvard Style

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, pages 523-533. DOI: 10.5220/0007919105230533


in Bibtex Style

@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},
}


in EndNote Style

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
AU - Chernyshov K.
PY - 2019
SP - 523
EP - 533
DO - 10.5220/0007919105230533