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- Chous_invariance_theorem abstract "Chou's invariance theorem, named after Kuo-Chen Chou, is a result deployed in bioinformatics and cheminformatics related to multivariate statistics. Where a distance that would, in standard statistical theory, be defined as a Mahalanobis distance cannot be defined in this way because the relevant covariance matrix is singular, a replacement would be to reduce the dimension of the multivariate space until the relevant covariance matrix is invertible. This can be achievable by simply omitting one or more of the original coordinates until a space of full rank is reached. Chou's invariance theorem says that it does not matter which of the coordinates are selected for removal, as the same values of distance would be calculated as a final result.".
- Chous_invariance_theorem wikiPageID "36250020".
- Chous_invariance_theorem wikiPageLength "5093".
- Chous_invariance_theorem wikiPageOutDegree "18".
- Chous_invariance_theorem wikiPageRevisionID "627492560".
- Chous_invariance_theorem wikiPageWikiLink Amino_acid.
- Chous_invariance_theorem wikiPageWikiLink Bioinformatics.
- Chous_invariance_theorem wikiPageWikiLink Category:Bioinformatics.
- Chous_invariance_theorem wikiPageWikiLink Category:Cheminformatics.
- Chous_invariance_theorem wikiPageWikiLink Category:Statistical_theorems.
- Chous_invariance_theorem wikiPageWikiLink Cheminformatics.
- Chous_invariance_theorem wikiPageWikiLink Covariance_matrix.
- Chous_invariance_theorem wikiPageWikiLink Dimension_(vector_space).
- Chous_invariance_theorem wikiPageWikiLink Invertible_matrix.
- Chous_invariance_theorem wikiPageWikiLink Mahalanobis_distance.
- Chous_invariance_theorem wikiPageWikiLink Multivariate_statistics.
- Chous_invariance_theorem wikiPageWikiLink Pseudo_amino_acid_composition.
- Chous_invariance_theorem wikiPageWikiLink Singular_matrix.
- Chous_invariance_theorem wikiPageWikiLink Statistical_theory.
- Chous_invariance_theorem wikiPageWikiLinkText "Chou's invariance theorem".
- Chous_invariance_theorem hasPhotoCollection Chous_invariance_theorem.
- Chous_invariance_theorem wikiPageUsesTemplate Template:COI.
- Chous_invariance_theorem wikiPageUsesTemplate Template:Reflist.
- Chous_invariance_theorem wikiPageUsesTemplate Template:Technical.
- Chous_invariance_theorem subject Category:Bioinformatics.
- Chous_invariance_theorem subject Category:Cheminformatics.
- Chous_invariance_theorem subject Category:Statistical_theorems.
- Chous_invariance_theorem hypernym Result.
- Chous_invariance_theorem comment "Chou's invariance theorem, named after Kuo-Chen Chou, is a result deployed in bioinformatics and cheminformatics related to multivariate statistics. Where a distance that would, in standard statistical theory, be defined as a Mahalanobis distance cannot be defined in this way because the relevant covariance matrix is singular, a replacement would be to reduce the dimension of the multivariate space until the relevant covariance matrix is invertible.".
- Chous_invariance_theorem label "Chou's invariance theorem".
- Chous_invariance_theorem sameAs m.0k2gymw.
- Chous_invariance_theorem sameAs Q5105423.
- Chous_invariance_theorem sameAs Q5105423.
- Chous_invariance_theorem wasDerivedFrom Chous_invariance_theoremoldid=627492560.
- Chous_invariance_theorem isPrimaryTopicOf Chous_invariance_theorem.