Hybrid mutual information between directional and linear variables

Leguey Vitoriano, Ignacio and Kato, Shogo and Bielza Lozoya, María Concepción and Larrañaga Múgica, Pedro María (2017). Hybrid mutual information between directional and linear variables. In: "ADISTA 2017: International Directional Statistics Workshop", 8-9 Jun 2017, Roma, Italia. pp. 12-13.

Description

Title: Hybrid mutual information between directional and linear variables
Author/s:
  • Leguey Vitoriano, Ignacio
  • Kato, Shogo
  • Bielza Lozoya, María Concepción
  • Larrañaga Múgica, Pedro María
Item Type: Presentation at Congress or Conference (Poster)
Event Title: ADISTA 2017: International Directional Statistics Workshop
Event Dates: 8-9 Jun 2017
Event Location: Roma, Italia
Title of Book: ADISTA 2017: Advances in Directional Statistics
Date: 2017
Subjects:
Faculty: E.T.S. de Ingenieros Informáticos (UPM)
Department: Inteligencia Artificial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Measuring the mutual dependence between two linear variables has been studied at length in Rényi (1959a,b) and Lloyd (1962), among many others. Mutual in- formation (Shannon 1949, Cover and Thomas 2012) between two linear variables is a general measure that determines the similarity between the joint distribu- tion and the product of their marginal distributions. For directional statistics, the circular mutual information was recently proposed in Leguey et al. (2016). This is suitable when the underlying paired distributions follow bivariate wrapped Cauchy distributions (Kato and Pewsey 2015), whose marginals and conditionals belong to the univariate wrapped Cauchy family. Here we go one step further by presenting the hybrid mutual information, which allows to express in a closed form the mutual information measure between a circular-linear or a linear-circular pair of variables regardless of the marginal distribution of each variable.

More information

Item ID: 51061
DC Identifier: http://oa.upm.es/51061/
OAI Identifier: oai:oa.upm.es:51061
Official URL: https://sites.google.com/site/adista17workshop/home
Deposited by: Memoria Investigacion
Deposited on: 06 Jun 2019 07:42
Last Modified: 06 Jun 2019 07:42
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