title: A circular-linear dependence measure under Johnson-Wehrly distributions and its application in Bayesian networks
creator: Leguey Vitoriano, Ignacio
creator: Larrañaga Múgica, Pedro María
creator: Bielza Lozoya, María Concepción
creator: Kato, Shogo
subject: Mathematics
subject: Computer Science
description: Circular data jointly observed with linear data are common in various disciplines. Since circular data require different techniques than linear data, it is often misleading to use usual dependence measures for joint data of circular and linear observations. Moreover, although a mutual information measure between circular variables exists, the measure has drawbacks in that it is defined only for a bivariate extension of the wrapped Cauchy distribution and has to be approximated using numerical methods. In this paper, we introduce two measures of dependence, namely, (i) circular-linear mutual information as a measure of dependence between circular and linear variables and (ii) circular-circular mutual information as a measure of dependence between two circular variables. It is shown that the expression for the proposed circular-linear mutual information can be greatly simplified for a subfamily of Johnson–Wehrly distributions. We apply these two dependence measures to learn a circular-linear tree-structured Bayesian network that combines circular and linear variables. To illustrate and evaluate our proposal, we perform experiments with simulated data. We also use a real meteorological data set from different European stations to create a circular-linear tree-structured Bayesian network model.
publisher: E.T.S. de Ingenieros Informáticos (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 2019-06
type: info:eu-repo/semantics/article
type: Article
source: Information Sciences, ISSN 0020-0255, 2019-06, Vol. 486
type: PeerReviewed
format: application/pdf
language: eng
relation: https://www.sciencedirect.com/science/article/pii/S0020025519300581?via%3Dihub
relation: C080020-09
relation: S2013/ICE-2845
relation: FPU13/01941
relation: TIN2016-796842-P
rights: info:eu-repo/semantics/openAccess
relation: info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ins.2019.01.080
identifier: https://oa.upm.es/64208/