# 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.

Download#### 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