{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T05:24:59Z","timestamp":1649049899271},"reference-count":19,"publisher":"Elsevier","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1982]]},"DOI":"10.1016\/s0169-7161(82)02035-5","type":"book-chapter","created":{"date-parts":[[2005,4,18]],"date-time":"2005-04-18T15:58:53Z","timestamp":1113839933000},"page":"699-719","source":"Crossref","is-referenced-by-count":0,"title":["32 Covariance matrix representation and object-predicate symmetry"],"prefix":"10.1016","author":[{"given":"T.","family":"Kaminuma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Tomita","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Watanabe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0169-7161(82)02035-5_bib1","doi-asserted-by":"crossref","first-page":"1045","DOI":"10.1109\/T-C.1971.223400","article-title":"Multi-dimensional rotations in feature selection","author":"Andrews","year":"1971","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0169-7161(82)02035-5_bib2","series-title":"L'Analyse des Donnees 2\u2014 L'Analyse des Correspondances","author":"Benzecri","year":"1976"},{"key":"10.1016\/S0169-7161(82)02035-5_bib3","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1103\/RevModPhys.35.668","article-title":"Structure of Fermion density matrics","volume":"35","author":"Coleman","year":"1963","journal-title":"Rev. Mod. Phys."},{"key":"10.1016\/S0169-7161(82)02035-5_bib4","article-title":"Informational entropy as a measure of correlation of interacting Fermi particles","author":"Kaminuma","year":"1970"},{"key":"10.1016\/S0169-7161(82)02035-5_bib5","first-page":"1228","article-title":"Symmetry of Karhunen-Lo\u00e8ve systems and its application to geometric pattern analysis","volume":"Vol. 2","author":"Kaminuma","year":"1980"},{"key":"10.1016\/S0169-7161(82)02035-5_bib6_1","first-page":"2","article-title":"On dimensionality and sample size in statistical pattern classification","volume":"Vol. 24","author":"Kanal","year":"1965"},{"key":"10.1016\/S0169-7161(82)02035-5_bib6_2","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0031-3203(71)90013-6","article-title":"On dimensionality and sample size in statistical pattern classification","volume":"3","author":"Kanal","year":"1971","journal-title":"Pattern Recognition"},{"key":"10.1016\/S0169-7161(82)02035-5_bib7","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1080\/14786440109462720","article-title":"On lines and planes of closest fit to systems of points in space","author":"Pearson","year":"1901","journal-title":"Philos. Mag."},{"key":"10.1016\/S0169-7161(82)02035-5_bib8","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1007\/BF01449770","article-title":"Zur Theorie der linearen und nicht linearen Integralgleichungen","volume":"63","author":"Schmidt","year":"1970","journal-title":"Math. Ann."},{"key":"10.1016\/S0169-7161(82)02035-5_bib9","series-title":"Integral Equations","author":"Smithies","year":"1958"},{"key":"10.1016\/S0169-7161(82)02035-5_bib10","first-page":"55","article-title":"Theory of feature extraction for patterns by the Karhunen-Lo\u00e8ve orthogonal system","volume":"1","author":"Tomita","year":"1970","journal-title":"Systems Comput. Control"},{"key":"10.1016\/S0169-7161(82)02035-5_bib11","first-page":"501","article-title":"On evaluation of handwritten characters by the K-L orthogonal system","author":"Tomita","year":"1973","journal-title":"HICSS-3"},{"key":"10.1016\/S0169-7161(82)02035-5_bib12","series-title":"A note on the formation of concept and of association by information-theoretical correlation analysis","first-page":"291","article-title":"Lecture Notes of Summer School in Information Theory at Vienna","volume":"4","author":"Watanabe","year":"1958"},{"key":"10.1016\/S0169-7161(82)02035-5_bib13","series-title":"Trans. Fifth Prague Conf. in Information Theory Statistical Decision Functions and Random Processes","first-page":"635","article-title":"Karhunen-Lo\u00e8ve expansion and factor analysis\u2014Theoretical remarks and applications","author":"Watanabe","year":"1965"},{"key":"10.1016\/S0169-7161(82)02035-5_bib14","series-title":"Knowing and Guessing","author":"Watanabe","year":"1969"},{"key":"10.1016\/S0169-7161(82)02035-5_bib15_1","article-title":"Object-predicate reciprocity and its applications to pattern recognition","volume":"68","author":"Watanabe","year":"1969","journal-title":"Inform. Processing"},{"key":"10.1016\/S0169-7161(82)02035-5_bib15_2","series-title":"Proc. IFIP Congress Edinburgh","first-page":"1608","article-title":"Object-predicate reciprocity and its applications to pattern recognition","author":"Watanabe","year":"1969"},{"key":"10.1016\/S0169-7161(82)02035-5_bib16","first-page":"468","article-title":"Multiclass subspace methods in pattern recognition","volume":"Vol. 26","author":"Watanabe","year":"1970"},{"key":"10.1016\/S0169-7161(82)02035-5_bib17","unstructured":"Watanabe, S., Pattern recognition as guest for entnropy minimization, Pattern Recognition, to appear."}],"container-title":["Handbook of Statistics","Classification Pattern Recognition and Reduction of Dimensionality"],"original-title":[],"deposited":{"date-parts":[[2019,1,26]],"date-time":"2019-01-26T21:56:40Z","timestamp":1548539800000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0169716182020355"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982]]},"references-count":19,"URL":"https:\/\/doi.org\/10.1016\/s0169-7161(82)02035-5","relation":{},"ISSN":["0169-7161"],"issn-type":[{"value":"0169-7161","type":"print"}],"subject":[],"published":{"date-parts":[[1982]]}}}