Empirical orthogonal functions: Difference between revisions

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Intellec7 (talk | contribs)
This seems to literally be (weighted-)PCA by a different name.
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In [[statistics]] and [[signal processing]], the method of '''empirical orthogonal function''' ('''EOF''') analysis is a decomposition of a [[signal processing|signal]] or data set in terms of [[orthogonal]] [[basis function]]s which are determined from the data. It is similar to performing a [[principal components analysis]] on the data, except that the EOF method finds both [[time series]] and [[Three-dimensional space|spatial]] patterns. The term is also interchangeable with the geographically weighted [[Principal components analysis|PCAs]] in [[geophysics]].<ref name=eofa>{{cite web
| last1 = Stephenson
| first1 = David B.
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* Christopher K. Wikle and Noel Cressie. "[https://dx.doi.org/10.1093/biomet/86.4.815 A dimension reduced approach to space-time Kalman filtering]", ''[[Biometrika]]'' 86:815-829, 1999.
* Donald W. Denbo and John S. Allen. [http://journals.ametsoc.org/doi/pdf/10.1175/1520-0485(1984)014%3C0035%3AREOFAO%3E2.0.CO%3B2 "Rotary Empirical Orthogonal Function Analysis of Currents near the Oregon Coast"], "J. Phys. Oceanogr.", 14, 35-46, 1984.
* David M. Kaplan [https://web.archive.org/web/20200701033210/https://websites.pmc.ucsc.edu/~dmk/notes/EOFs/EOFs.html] "Notes on EOF Analysis"
 
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