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dc.contributor.authorÁlvarez, MAen
dc.contributor.authorLawrence, Neilen
dc.date.accessioned2020-01-29T12:32:27Z
dc.date.available2020-01-29T12:32:27Z
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/301407
dc.description.abstractRecently there has been an increasing interest in methods that deal with multiple outputs. This has been motivated partly by frameworks like multitask learning, multisensor networks or structured output data. From a Gaussian processes perspective, the problem reduces to specifying an appropriate covariance function that, whilst being positive semi-definite, captures the dependencies between all the data points and across all the outputs. One approach to account for non-trivial correlations between outputs employs convolution processes. Under a latent function interpretation of the convolution transform we establish dependencies between output variables. The main drawbacks of this approach are the associated computational and storage demands. In this paper we address these issues. We present different sparse approximations for dependent output Gaussian processes constructed through the convolution formalism. We exploit the conditional independencies present naturally in the model. This leads to a form of the covariance similar in spirit to the so called PITC and FITC approximations for a single output. We show experimental results with synthetic and real data, in particular, we show results in pollution prediction, school exams score prediction and gene expression data.
dc.rightsAll rights reserved
dc.rights.uri
dc.titleComputationally Efficient Convolved Multiple Output Gaussian Processesen
dc.typeArticle
prism.endingPage1500
prism.publicationNameJournal of Machine Learning Researchen
prism.startingPage1459
prism.volume12 (2011)en
dc.identifier.doi10.17863/CAM.48485
dcterms.dateAccepted2010-10-10en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2010-10-10en
dc.contributor.orcidLawrence, Neil [0000-0001-9258-1030]
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2011-11-05en
dc.identifier.urlhttp://www.jmlr.org/papers/v12/alvarez11a.htmlen


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