Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets

Handle URI:
http://hdl.handle.net/10754/598377
Title:
Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets
Authors:
Zhang, Bohai; Sang, Huiyan; Huang, Jianhua Z.
Abstract:
Various continuously-indexed spatio-temporal process models have been constructed to characterize spatio-temporal dependence structures, but the computational complexity for model fitting and predictions grows in a cubic order with the size of dataset and application of such models is not feasible for large datasets. This article extends the full-scale approximation (FSA) approach by Sang and Huang (2012) to the spatio-temporal context to reduce computational complexity. A reversible jump Markov chain Monte Carlo (RJMCMC) algorithm is proposed to select knots automatically from a discrete set of spatio-temporal points. Our approach is applicable to nonseparable and nonstationary spatio-temporal covariance models. We illustrate the effectiveness of our method through simulation experiments and application to an ozone measurement dataset.
Citation:
Zhang B, Sang H, Huang JZ (2014) Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets. STAT SINICA. Available: http://dx.doi.org/10.5705/ss.2013.260w.
Publisher:
Institute of Statistical Science
Journal:
Statistica Sinica
KAUST Grant Number:
KUS-CI-016-04
Issue Date:
2014
DOI:
10.5705/ss.2013.260w
Type:
Article
ISSN:
1017-0405
Sponsors:
This work was partially supported by NSF grant DMS-1007618, NSF grant EARS-1343155, and Award Number KUS-CI-016-04 made by King Abdullah University of Science and Technology (KAUST). Huang's work was also partially supported by NSF grant DMS-1208952.
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Full metadata record

DC FieldValue Language
dc.contributor.authorZhang, Bohaien
dc.contributor.authorSang, Huiyanen
dc.contributor.authorHuang, Jianhua Z.en
dc.date.accessioned2016-02-25T13:19:41Zen
dc.date.available2016-02-25T13:19:41Zen
dc.date.issued2014en
dc.identifier.citationZhang B, Sang H, Huang JZ (2014) Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets. STAT SINICA. Available: http://dx.doi.org/10.5705/ss.2013.260w.en
dc.identifier.issn1017-0405en
dc.identifier.doi10.5705/ss.2013.260wen
dc.identifier.urihttp://hdl.handle.net/10754/598377en
dc.description.abstractVarious continuously-indexed spatio-temporal process models have been constructed to characterize spatio-temporal dependence structures, but the computational complexity for model fitting and predictions grows in a cubic order with the size of dataset and application of such models is not feasible for large datasets. This article extends the full-scale approximation (FSA) approach by Sang and Huang (2012) to the spatio-temporal context to reduce computational complexity. A reversible jump Markov chain Monte Carlo (RJMCMC) algorithm is proposed to select knots automatically from a discrete set of spatio-temporal points. Our approach is applicable to nonseparable and nonstationary spatio-temporal covariance models. We illustrate the effectiveness of our method through simulation experiments and application to an ozone measurement dataset.en
dc.description.sponsorshipThis work was partially supported by NSF grant DMS-1007618, NSF grant EARS-1343155, and Award Number KUS-CI-016-04 made by King Abdullah University of Science and Technology (KAUST). Huang's work was also partially supported by NSF grant DMS-1208952.en
dc.publisherInstitute of Statistical Scienceen
dc.titleFull-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasetsen
dc.typeArticleen
dc.identifier.journalStatistica Sinicaen
dc.contributor.institutionTexas A&M Universityen
kaust.grant.numberKUS-CI-016-04en
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