Tree-structured Bayesian networks for wrapped Cauchy directional distributions

Leguey Vitoriano, Ignacio and Bielza Lozoya, María Concepción and Larrañaga Múgica, Pedro María (2016). Tree-structured Bayesian networks for wrapped Cauchy directional distributions. In: "Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2016", 14-16 Sep 2016, Salamanca, España. ISBN 978-3-319-44635-6. pp. 207-216. https://doi.org/10.1007/978-3-319-44636-3-19.

Description

Title: Tree-structured Bayesian networks for wrapped Cauchy directional distributions
Author/s:
  • Leguey Vitoriano, Ignacio
  • Bielza Lozoya, María Concepción
  • Larrañaga Múgica, Pedro María
Item Type: Presentation at Congress or Conference (Unspecified)
Event Title: Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2016
Event Dates: 14-16 Sep 2016
Event Location: Salamanca, España
Title of Book: Advances in Artificial Intelligence
Título de Revista/Publicación: Lecture Notes in Artificial Intelligence
Date: 2016
ISBN: 978-3-319-44635-6
Volume: 9868
Subjects:
Freetext Keywords: Directional statistics; Wrapped Cauchy distribution; Tree-structure; Bayesian networks
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

Modelling the relationship between directional variables is a nearly unexplored field. The bivariate wrapped Cauchy distribution has recently emerged as the first closed family of bivariate directional distri- butions (marginals and conditionals belong to the same family). In this paper, we introduce a tree-structured Bayesian network suitable for mod- elling directional data with bivariate wrapped Cauchy distributions. We describe the structure learning algorithm used to learn the Bayesian net- work. We also report some simulation studies to illustrate the algorithms including a comparison with the Gaussian structure learning algorithm and an empirical experiment on real morphological data from juvenile rat somatosensory cortex cells.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTIN2013-41592-PBES-2014-07114Universidad Politécnia de MadridUnspecified
Madrid Regional GovernmentS2013/ICE- 2845CASI-CAM-CMUnspecifiedCajal Blue Brain Proyect

More information

Item ID: 46050
DC Identifier: http://oa.upm.es/46050/
OAI Identifier: oai:oa.upm.es:46050
DOI: 10.1007/978-3-319-44636-3-19
Official URL: https://link.springer.com/book/10.1007/978-3-319-44636-3#about
Deposited by: Memoria Investigacion
Deposited on: 16 Mar 2018 09:42
Last Modified: 16 Mar 2018 09:42
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