Learning Mixtures of Polynomials of Conditional Densities from Data

Pedro L. López-Cruz, Thomas Dyhre Nielsen, Concha Bielza, Pedro Larrañga

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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Resumé

Mixtures of polynomials (MoPs) are a non-parametric density estimation technique for hybrid Bayesian networks with continuous and discrete variables. We propose two methods for learning MoP ap- proximations of conditional densities from data. Both approaches are based on learning MoP approximations of the joint density and the marginal density of the conditioning variables, but they differ as to how the MoP approximation of the quotient of the two densities is found. We illustrate the methods using data sampled from a simple Gaussian Bayesian network. We study and compare the performance of these meth- ods with the approach for learning mixtures of truncated basis functions from data.
OriginalsprogEngelsk
TitelAdvances in Artificial Intelligence : 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings
RedaktørerConcha Bielza et al.
Antal sider10
ForlagSpringer Publishing Company
Publikationsdato2013
Sider363-372
ISBN (Trykt)978-3-642-40642-3
ISBN (Elektronisk)978-3-642-40643-0
DOI
StatusUdgivet - 2013
Begivenhed15th Conference of the Spanish Association for Artificial Intelligence - Madrid, Spanien
Varighed: 17 sep. 201320 sep. 2013
Konferencens nummer: 15

Konference

Konference15th Conference of the Spanish Association for Artificial Intelligence
Nummer15
LandSpanien
ByMadrid
Periode17/09/201320/09/2013
NavnLecture Notes in Artificial Intelligence : Subseries of Lecture Notes in Computer Science
NummerXVIII
Vol/bind8109
ISSN0302-9743

Fingerprint

Conditional Density
Bayesian Networks
Polynomial
Approximation
Nonparametric Density Estimation
Discrete Variables
Continuous Variables
Conditioning
Basis Functions
Quotient
Learning

Citer dette

L. López-Cruz, P., Nielsen, T. D., Bielza, C., & Larrañga, P. (2013). Learning Mixtures of Polynomials of Conditional Densities from Data. I C. Bielza et al. (red.), Advances in Artificial Intelligence: 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings (s. 363-372). Springer Publishing Company. Lecture Notes in Artificial Intelligence : Subseries of Lecture Notes in Computer Science, Nr. XVIII, Bind. 8109 https://doi.org/10.1007/978-3-642-40643-0_37
L. López-Cruz, Pedro ; Nielsen, Thomas Dyhre ; Bielza, Concha ; Larrañga, Pedro. / Learning Mixtures of Polynomials of Conditional Densities from Data. Advances in Artificial Intelligence: 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings. red. / Concha Bielza et al. Springer Publishing Company, 2013. s. 363-372 (Lecture Notes in Artificial Intelligence : Subseries of Lecture Notes in Computer Science; Nr. XVIII, Bind 8109).
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L. López-Cruz, P, Nielsen, TD, Bielza, C & Larrañga, P 2013, Learning Mixtures of Polynomials of Conditional Densities from Data. i C Bielza et al. (red.), Advances in Artificial Intelligence: 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings. Springer Publishing Company, Lecture Notes in Artificial Intelligence : Subseries of Lecture Notes in Computer Science, nr. XVIII, bind 8109, s. 363-372, 15th Conference of the Spanish Association for Artificial Intelligence, Madrid, Spanien, 17/09/2013. https://doi.org/10.1007/978-3-642-40643-0_37

Learning Mixtures of Polynomials of Conditional Densities from Data. / L. López-Cruz, Pedro; Nielsen, Thomas Dyhre; Bielza, Concha; Larrañga, Pedro.

Advances in Artificial Intelligence: 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings. red. / Concha Bielza et al. Springer Publishing Company, 2013. s. 363-372.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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L. López-Cruz P, Nielsen TD, Bielza C, Larrañga P. Learning Mixtures of Polynomials of Conditional Densities from Data. I Bielza et al. C, red., Advances in Artificial Intelligence: 15th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2013, Madrid, Spain, September 17-20, 2013. Proceedings. Springer Publishing Company. 2013. s. 363-372. (Lecture Notes in Artificial Intelligence : Subseries of Lecture Notes in Computer Science; Nr. XVIII, Bind 8109). https://doi.org/10.1007/978-3-642-40643-0_37