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

Kirill Chernyshov

2019

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.

Paper Citation

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