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- Empirical_orthogonal_functions abstract "In statistics and signal processing, the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from the data. It is the same as performing a principal components analysis on the data, except that the EOF method finds both time series and spatial patterns. The term is also interchangeable with the geographically weighted PCAs in geophysics.The i th basis function is chosen to be orthogonal to the basis functions from the first through i − 1, and to minimize the residual variance. That is, the basis functions are chosen to be different from each other, and to account for as much variance as possible.The method of EOF is similar in spirit to harmonic analysis, but harmonic analysis typically uses predetermined orthogonal functions, for example, sine and cosine functions at fixed frequencies. In some cases the two methods may yield essentially the same results.The basis functions are typically found by computing the eigenvectors of the covariance matrix of the data set. A more advanced technique is to form a kernel out of the data, using a fixed kernel. The basis functions from the eigenvectors of the kernel matrix are thus non-linear in the location of the data (see Mercer's theorem and the kernel trick for more information).".
- Empirical_orthogonal_functions wikiPageExternalLink eofsvd.html.
- Empirical_orthogonal_functions wikiPageExternalLink 86.4.815.
- Empirical_orthogonal_functions wikiPageExternalLink 1520-0485(1984)014%3C0035%3AREOFAO%3E2.0.CO%3B2.
- Empirical_orthogonal_functions wikiPageExternalLink notes.
- Empirical_orthogonal_functions wikiPageExternalLink node87.html.
- Empirical_orthogonal_functions wikiPageID "429618".
- Empirical_orthogonal_functions wikiPageLength "3483".
- Empirical_orthogonal_functions wikiPageOutDegree "30".
- Empirical_orthogonal_functions wikiPageRevisionID "697449425".
- Empirical_orthogonal_functions wikiPageWikiLink Basis_function.
- Empirical_orthogonal_functions wikiPageWikiLink Biometrika.
- Empirical_orthogonal_functions wikiPageWikiLink Blind_signal_separation.
- Empirical_orthogonal_functions wikiPageWikiLink Category:Spatial_data_analysis.
- Empirical_orthogonal_functions wikiPageWikiLink Category:Time_series_analysis.
- Empirical_orthogonal_functions wikiPageWikiLink Covariance_matrix.
- Empirical_orthogonal_functions wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Empirical_orthogonal_functions wikiPageWikiLink Frequency.
- Empirical_orthogonal_functions wikiPageWikiLink Geophysics.
- Empirical_orthogonal_functions wikiPageWikiLink Harmonic_analysis.
- Empirical_orthogonal_functions wikiPageWikiLink Kernel_(linear_algebra).
- Empirical_orthogonal_functions wikiPageWikiLink Kernel_(statistics).
- Empirical_orthogonal_functions wikiPageWikiLink Kernel_method.
- Empirical_orthogonal_functions wikiPageWikiLink Mercers_theorem.
- Empirical_orthogonal_functions wikiPageWikiLink Multilinear_principal_component_analysis.
- Empirical_orthogonal_functions wikiPageWikiLink Multilinear_subspace_learning.
- Empirical_orthogonal_functions wikiPageWikiLink Nonlinear_dimensionality_reduction.
- Empirical_orthogonal_functions wikiPageWikiLink Orthogonal_matrix.
- Empirical_orthogonal_functions wikiPageWikiLink Orthogonality.
- Empirical_orthogonal_functions wikiPageWikiLink Principal_component_analysis.
- Empirical_orthogonal_functions wikiPageWikiLink Signal_processing.
- Empirical_orthogonal_functions wikiPageWikiLink Source_separation.
- Empirical_orthogonal_functions wikiPageWikiLink Statistics.
- Empirical_orthogonal_functions wikiPageWikiLink Three-dimensional_space_(mathematics).
- Empirical_orthogonal_functions wikiPageWikiLink Time_series.
- Empirical_orthogonal_functions wikiPageWikiLink Transform_coding.
- Empirical_orthogonal_functions wikiPageWikiLink Variance.
- Empirical_orthogonal_functions wikiPageWikiLink Varimax_rotation.
- Empirical_orthogonal_functions wikiPageWikiLinkText "EOF".
- Empirical_orthogonal_functions wikiPageWikiLinkText "Empirical orthogonal functions".
- Empirical_orthogonal_functions wikiPageWikiLinkText "empirical orthogonal functions (EOFs)".
- Empirical_orthogonal_functions wikiPageWikiLinkText "empirical orthogonal functions".
- Empirical_orthogonal_functions wikiPageUsesTemplate Template:Mergeto.
- Empirical_orthogonal_functions wikiPageUsesTemplate Template:Statistics-stub.
- Empirical_orthogonal_functions subject Category:Spatial_data_analysis.
- Empirical_orthogonal_functions subject Category:Time_series_analysis.
- Empirical_orthogonal_functions hypernym Decomposition.
- Empirical_orthogonal_functions type Type.
- Empirical_orthogonal_functions type Econometric.
- Empirical_orthogonal_functions type Process.
- Empirical_orthogonal_functions type Type.
- Empirical_orthogonal_functions comment "In statistics and signal processing, the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from the data. It is the same as performing a principal components analysis on the data, except that the EOF method finds both time series and spatial patterns.".
- Empirical_orthogonal_functions label "Empirical orthogonal functions".
- Empirical_orthogonal_functions sameAs Q3042818.
- Empirical_orthogonal_functions sameAs Décomposition_orthogonale_aux_valeurs_propres.
- Empirical_orthogonal_functions sameAs 経験的直交関数.
- Empirical_orthogonal_functions sameAs m.027j07.
- Empirical_orthogonal_functions sameAs Q3042818.
- Empirical_orthogonal_functions wasDerivedFrom Empirical_orthogonal_functions?oldid=697449425.
- Empirical_orthogonal_functions isPrimaryTopicOf Empirical_orthogonal_functions.