dc.creator | Domínguez de la Iglesia, Manuel | es |
dc.creator | Tabak, Esteban G. | es |
dc.date.accessioned | 2016-06-16T10:36:32Z | |
dc.date.available | 2016-06-16T10:36:32Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Domínguez de la Iglesia, M. y Tabak, E.G. (2013). Principal dynamical components. Communications on Pure and Applied Mathematics, 66 (1), 48-82. | |
dc.identifier.issn | 0010-3640 | es |
dc.identifier.issn | 1097-0312 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42398 | |
dc.description.abstract | A new procedure is proposed for the dimensional reduction of time series. Similarly to principal components, the procedure seeks a low-dimensional manifold that minimizes information loss. Unlike principal components, however, the new procedure involves dynamical considerations, through the proposal of a predictive dynamical model in the reduced manifold. Hence the minimization of the uncertainty is not only over the choice of a reduced manifold, as in principal components, but also over the parameters of the
dynamical model. Further generalizations are provided to non-autonomous and nonMarkovian scenarios, which are then applied to historical sea-surface temperature data. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | National Science Foundation (United States) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Wiley | es |
dc.relation.ispartof | Communications on Pure and Applied Mathematics, 66 (1), 48-82. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Principal component analysis | es |
dc.subject | Time series | es |
dc.subject | Empirical orthogonal functions | es |
dc.subject | Autocorrelation | es |
dc.title | Principal dynamical components | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | BFM2006-13000-C03-01 | es |
dc.relation.projectID | FQM-229 | es |
dc.relation.projectID | FQM-481 | es |
dc.relation.projectID | P06-FQM-01738 | es |
dc.relation.projectID | 2008-0207 | es |
dc.relation.projectID | DMS 0908077 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1002/cpa.21411 | |
dc.identifier.doi | 10.1002/cpa.21411 | |
idus.format.extent | 29 p. | es |
dc.journaltitle | Communications on Pure and Applied Mathematics | es |
dc.publication.volumen | 66 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 48 | es |
dc.publication.endPage | 82 | es |
dc.relation.publicationplace | Hoboken (New Jersey) | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42398 | |