Mean field variational Bayesian inference for nonparametric regression with measurement error
A fast mean field variational Bayes (MFVB) approach to nonparametric regression when the predictors are subject to classical measurement error is investigated. It is shown that the use of such technology to the measurement error setting achieves reasonable accuracy. In tandem with the methodological...
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| Published in | Computational statistics & data analysis Vol. 68; pp. 375 - 387 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.12.2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0167-9473 1872-7352 |
| DOI | 10.1016/j.csda.2013.07.014 |
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| Abstract | A fast mean field variational Bayes (MFVB) approach to nonparametric regression when the predictors are subject to classical measurement error is investigated. It is shown that the use of such technology to the measurement error setting achieves reasonable accuracy. In tandem with the methodological development, a customized Markov chain Monte Carlo method is developed to facilitate the evaluation of accuracy of the MFVB method. |
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| AbstractList | A fast mean field variational Bayes (MFVB) approach to nonparametric regression when the predictors are subject to classical measurement error is investigated. It is shown that the use of such technology to the measurement error setting achieves reasonable accuracy. In tandem with the methodological development, a customized Markov chain Monte Carlo method is developed to facilitate the evaluation of accuracy of the MFVB method. |
| Author | Wand, M.P. Ormerod, John T. Pham, Tung H. |
| Author_xml | – sequence: 1 givenname: Tung H. surname: Pham fullname: Pham, Tung H. email: tung.pham@epfl.ch organization: Institut de Mathématiques, École Polytechnique Fédérale de Lausanne, Station 8, CH-1015, Lausanne, Switzerland – sequence: 2 givenname: John T. surname: Ormerod fullname: Ormerod, John T. email: john.ormerod@sydney.edu.au, jtormerod@hotmail.com organization: School of Mathematics and Statistics, University of Sydney, Sydney 2006, Australia – sequence: 3 givenname: M.P. surname: Wand fullname: Wand, M.P. email: Matt.Wand@uts.edu.au organization: School of Mathematical Sciences, University of Technology, Sydney, Broadway 2007, Australia |
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| Cites_doi | 10.1198/016214504000001088 10.1023/A:1008929526011 10.1198/jasa.2011.tm10301 10.1111/j.1467-842X.2005.00383.x 10.1080/01621459.1999.10474186 10.1198/tast.2010.09058 10.1080/01621459.1992.10475289 10.1111/1467-985X.00252 10.1214/11-BA631 10.1093/biostatistics/4.2.297 10.1130/0016-7606(1997)109<1421:MCSISO>2.3.CO;2 10.1111/j.0006-341X.2002.00013.x 10.1111/j.1467-842X.2008.00507.x 10.1198/016214502753479301 10.1111/j.1467-9868.2007.00614.x |
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| Keywords | Variational approximations Penalized splines Classical measurement error Markov chain Monte Carlo |
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| SubjectTerms | Accuracy Bayesian theory Classical measurement error Markov chain Markov chain Monte Carlo Monte Carlo method Penalized splines Variational approximations |
| Title | Mean field variational Bayesian inference for nonparametric regression with measurement error |
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