Polynomial expansion of the probability density function about gaussian mixtures

Detalhes bibliográficos
Autor(a) principal: Cavalcante, Charles Casimiro
Data de Publicação: 2004
Outros Autores: Mota, João César Moura, Romano, João Marcos Travassos
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da Universidade Federal do Ceará (UFC)
Texto Completo: http://www.repositorio.ufc.br/handle/riufc/4167
Resumo: A polynomial expansion to probability density function (pdf) approximation about Gaussian mixture densities is proposed in this paper. Using known polynomial series expansions we apply the Pareen estimator to derive an orthonormal basis that is able to represent the characteristics of probability distributions that are not concentrated in the vicinity of the mean point such as the Gaussian pdf. The blind source separation problem is used to illustrate the applicability of the proposal in practical analysis of the dynamics of the recovered data pdf estimation. Simulations are carried out to illustrate the analysis.
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spelling Polynomial expansion of the probability density function about gaussian mixturesTeleinformáticaA polynomial expansion to probability density function (pdf) approximation about Gaussian mixture densities is proposed in this paper. Using known polynomial series expansions we apply the Pareen estimator to derive an orthonormal basis that is able to represent the characteristics of probability distributions that are not concentrated in the vicinity of the mean point such as the Gaussian pdf. The blind source separation problem is used to illustrate the applicability of the proposal in practical analysis of the dynamics of the recovered data pdf estimation. Simulations are carried out to illustrate the analysis.Workshop on Machine Learning for Signal Processing2012-12-13T19:17:41Z2012-12-13T19:17:41Z2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectapplication/pdfCAVALCANTE, C. C. ; MOTA, J. C. M. ; ROMANO, J. M. T. Polynomial expansion of the probability density function about gaussian mixtures. In: WORKSHOP ON MACHINE LEARNING FOR SIGNAL PROCESSING, 14., 2004, São Luiz. Anais... São Luiz: IEEE, 2004. p. 163-172http://www.repositorio.ufc.br/handle/riufc/4167Cavalcante, Charles CasimiroMota, João César MouraRomano, João Marcos Travassosengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccess2019-12-31T20:30:50Zoai:repositorio.ufc.br:riufc/4167Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2024-09-11T18:35:23.725814Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.none.fl_str_mv Polynomial expansion of the probability density function about gaussian mixtures
title Polynomial expansion of the probability density function about gaussian mixtures
spellingShingle Polynomial expansion of the probability density function about gaussian mixtures
Cavalcante, Charles Casimiro
Teleinformática
title_short Polynomial expansion of the probability density function about gaussian mixtures
title_full Polynomial expansion of the probability density function about gaussian mixtures
title_fullStr Polynomial expansion of the probability density function about gaussian mixtures
title_full_unstemmed Polynomial expansion of the probability density function about gaussian mixtures
title_sort Polynomial expansion of the probability density function about gaussian mixtures
author Cavalcante, Charles Casimiro
author_facet Cavalcante, Charles Casimiro
Mota, João César Moura
Romano, João Marcos Travassos
author_role author
author2 Mota, João César Moura
Romano, João Marcos Travassos
author2_role author
author
dc.contributor.author.fl_str_mv Cavalcante, Charles Casimiro
Mota, João César Moura
Romano, João Marcos Travassos
dc.subject.por.fl_str_mv Teleinformática
topic Teleinformática
description A polynomial expansion to probability density function (pdf) approximation about Gaussian mixture densities is proposed in this paper. Using known polynomial series expansions we apply the Pareen estimator to derive an orthonormal basis that is able to represent the characteristics of probability distributions that are not concentrated in the vicinity of the mean point such as the Gaussian pdf. The blind source separation problem is used to illustrate the applicability of the proposal in practical analysis of the dynamics of the recovered data pdf estimation. Simulations are carried out to illustrate the analysis.
publishDate 2004
dc.date.none.fl_str_mv 2004
2012-12-13T19:17:41Z
2012-12-13T19:17:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv CAVALCANTE, C. C. ; MOTA, J. C. M. ; ROMANO, J. M. T. Polynomial expansion of the probability density function about gaussian mixtures. In: WORKSHOP ON MACHINE LEARNING FOR SIGNAL PROCESSING, 14., 2004, São Luiz. Anais... São Luiz: IEEE, 2004. p. 163-172
http://www.repositorio.ufc.br/handle/riufc/4167
identifier_str_mv CAVALCANTE, C. C. ; MOTA, J. C. M. ; ROMANO, J. M. T. Polynomial expansion of the probability density function about gaussian mixtures. In: WORKSHOP ON MACHINE LEARNING FOR SIGNAL PROCESSING, 14., 2004, São Luiz. Anais... São Luiz: IEEE, 2004. p. 163-172
url http://www.repositorio.ufc.br/handle/riufc/4167
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Workshop on Machine Learning for Signal Processing
publisher.none.fl_str_mv Workshop on Machine Learning for Signal Processing
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
instacron_str UFC
institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
repository.name.fl_str_mv Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)
repository.mail.fl_str_mv bu@ufc.br || repositorio@ufc.br
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