Generative topographic mapping as a constrained mixture of student t-distributions: theoretical developments

The Generative Topographic Mapping (GTM: Bishop et al. 1998a), a non-linear latent variable model, was originally defined as constrained mixture of Gaussians. Gaussian mixture models are known to lack robustness in the presence of outlier observations in the data sample, and multivariate Student t-d...

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Detalles Bibliográficos
Autor: Vellido Alcacena, Alfredo|||0000-0002-9843-1911
Tipo de recurso: informe técnico
Fecha de publicación:2004
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/97911
Acceso en línea:https://hdl.handle.net/2117/97911
Access Level:acceso abierto
Palabra clave:Generative topographic mapping
GTM
Gaussian mixture models
Outliers
Student t-distributions
Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial
Descripción
Sumario:The Generative Topographic Mapping (GTM: Bishop et al. 1998a), a non-linear latent variable model, was originally defined as constrained mixture of Gaussians. Gaussian mixture models are known to lack robustness in the presence of outlier observations in the data sample, and multivariate Student t-distributions have recently been put forward as a more robust alternative to deal with continuous data in this context.