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Article: Determining the structure of a radial basis function network for prediction of nonlinear hydrological time series

TitleDetermining the structure of a radial basis function network for prediction of nonlinear hydrological time series
Authors
KeywordsDynamical systems
Hydrological time series
Phase space
Radial basis functions
Issue Date2006
PublisherI A H S Press. The Journal's web site is located at http://www.cig.ensmp.fr/~iahs/
Citation
Hydrological Sciences Journal, 2006, v. 51 n. 1, p. 21-44 How to Cite?
AbstractA network using radial basis functions (RBFs) as the mapping function in the evolutionary equation for prediction of time series is presented. An R3F networ requires the determination of the number of centres of RBFs, their receptive field widths and the linear weights of the network output layer. Traditionally, the number of centres of RBFs is fixed. In this paper, methods to estimate the widths of the receptives fields and the number of centres for the RBFs are introduced. The latter is based on the concept of the generalized degrees of freedom. The linear weights am determined by the leastsquares method. The proposed method is then applied to make predictions of six sets of data: two theoretical functions that are known to become chaotic under certain parameter conditions (Henon map and Lorenz map), and four real-time series (discharge data from the Mekong River in Thailand and Laos, and from the Chao Phraya River in Thailand, and sea-surface temperature anomaly data). The results are at least one order of magnitude better than those obtained by a similar model with fixed number of centres as well as by a linear model and a stochastic model for most of the data sets. Copyright © 2006 IAHS Press.
Persistent Identifierhttp://hdl.handle.net/10722/82936
ISSN
2015 Impact Factor: 2.182
2015 SCImago Journal Rankings: 1.040
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorJayawardena, AWen_HK
dc.contributor.authorXu, PCen_HK
dc.contributor.authorTsang, FLen_HK
dc.contributor.authorLi, WKen_HK
dc.date.accessioned2010-09-06T08:35:05Z-
dc.date.available2010-09-06T08:35:05Z-
dc.date.issued2006en_HK
dc.identifier.citationHydrological Sciences Journal, 2006, v. 51 n. 1, p. 21-44en_HK
dc.identifier.issn0262-6667en_HK
dc.identifier.urihttp://hdl.handle.net/10722/82936-
dc.description.abstractA network using radial basis functions (RBFs) as the mapping function in the evolutionary equation for prediction of time series is presented. An R3F networ requires the determination of the number of centres of RBFs, their receptive field widths and the linear weights of the network output layer. Traditionally, the number of centres of RBFs is fixed. In this paper, methods to estimate the widths of the receptives fields and the number of centres for the RBFs are introduced. The latter is based on the concept of the generalized degrees of freedom. The linear weights am determined by the leastsquares method. The proposed method is then applied to make predictions of six sets of data: two theoretical functions that are known to become chaotic under certain parameter conditions (Henon map and Lorenz map), and four real-time series (discharge data from the Mekong River in Thailand and Laos, and from the Chao Phraya River in Thailand, and sea-surface temperature anomaly data). The results are at least one order of magnitude better than those obtained by a similar model with fixed number of centres as well as by a linear model and a stochastic model for most of the data sets. Copyright © 2006 IAHS Press.en_HK
dc.languageengen_HK
dc.publisherI A H S Press. The Journal's web site is located at http://www.cig.ensmp.fr/~iahs/en_HK
dc.relation.ispartofHydrological Sciences Journalen_HK
dc.subjectDynamical systemsen_HK
dc.subjectHydrological time seriesen_HK
dc.subjectPhase spaceen_HK
dc.subjectRadial basis functionsen_HK
dc.titleDetermining the structure of a radial basis function network for prediction of nonlinear hydrological time seriesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0262-6667&volume=51&issue=1&spage=21&epage=44&date=2006&atitle=Determining+the+structure+of+a+radial+basis+function+network+for+prediction+of+nonlinear+hydrological+time+seriesen_HK
dc.identifier.emailLi, WK: hrntlwk@hku.hken_HK
dc.identifier.authorityLi, WK=rp00741en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1623/hysj.51.1.21en_HK
dc.identifier.scopuseid_2-s2.0-32544437144en_HK
dc.identifier.hkuros123740en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-32544437144&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume51en_HK
dc.identifier.issue1en_HK
dc.identifier.spage21en_HK
dc.identifier.epage44en_HK
dc.identifier.isiWOS:000235310600002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridJayawardena, AW=7005049253en_HK
dc.identifier.scopusauthoridXu, PC=8440784800en_HK
dc.identifier.scopusauthoridTsang, FL=36895781900en_HK
dc.identifier.scopusauthoridLi, WK=14015971200en_HK

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