Bayesian inference for dynamic models with dirichlet process mixtures

Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian nonparametric noise model based on mixture of Dirichlet processes is...

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Autors principals: Caron, F, Davy, M, Doucet, A, Duflos, E, Vanheeghe, P, IEEE
Format: Conference item
Publicat: 2006
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author Caron, F
Davy, M
Doucet, A
Duflos, E
Vanheeghe, P
IEEE
author_facet Caron, F
Davy, M
Doucet, A
Duflos, E
Vanheeghe, P
IEEE
author_sort Caron, F
collection OXFORD
description Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian nonparametric noise model based on mixture of Dirichlet processes is introduced. Efficient Markov chain Monte Carlo and Sequential Monte Carlo methods are then developed to perform optimal estimation in such contexts.
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institution University of Oxford
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publishDate 2006
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spelling oxford-uuid:c2819f40-1cdf-46ff-9300-5e6b589927662022-03-27T06:09:27ZBayesian inference for dynamic models with dirichlet process mixturesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:c2819f40-1cdf-46ff-9300-5e6b58992766Symplectic Elements at Oxford2006Caron, FDavy, MDoucet, ADuflos, EVanheeghe, PIEEEUsing Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian nonparametric noise model based on mixture of Dirichlet processes is introduced. Efficient Markov chain Monte Carlo and Sequential Monte Carlo methods are then developed to perform optimal estimation in such contexts.
spellingShingle Caron, F
Davy, M
Doucet, A
Duflos, E
Vanheeghe, P
IEEE
Bayesian inference for dynamic models with dirichlet process mixtures
title Bayesian inference for dynamic models with dirichlet process mixtures
title_full Bayesian inference for dynamic models with dirichlet process mixtures
title_fullStr Bayesian inference for dynamic models with dirichlet process mixtures
title_full_unstemmed Bayesian inference for dynamic models with dirichlet process mixtures
title_short Bayesian inference for dynamic models with dirichlet process mixtures
title_sort bayesian inference for dynamic models with dirichlet process mixtures
work_keys_str_mv AT caronf bayesianinferencefordynamicmodelswithdirichletprocessmixtures
AT davym bayesianinferencefordynamicmodelswithdirichletprocessmixtures
AT douceta bayesianinferencefordynamicmodelswithdirichletprocessmixtures
AT duflose bayesianinferencefordynamicmodelswithdirichletprocessmixtures
AT vanheeghep bayesianinferencefordynamicmodelswithdirichletprocessmixtures
AT ieee bayesianinferencefordynamicmodelswithdirichletprocessmixtures