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...
Autors principals: | , , , , , |
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Format: | Conference item |
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2006
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_version_ | 1826295028627013632 |
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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. |
first_indexed | 2024-03-07T03:54:48Z |
format | Conference item |
id | oxford-uuid:c2819f40-1cdf-46ff-9300-5e6b58992766 |
institution | University of Oxford |
last_indexed | 2024-03-07T03:54:48Z |
publishDate | 2006 |
record_format | dspace |
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 |
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