{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:02:22Z","timestamp":1773241342860,"version":"3.50.1"},"reference-count":22,"publisher":"Elsevier","isbn-type":[{"value":"9780444862174","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1982]]},"DOI":"10.1016\/s0169-7161(82)02018-5","type":"book-chapter","created":{"date-parts":[[2005,4,18]],"date-time":"2005-04-18T19:58:53Z","timestamp":1113854333000},"page":"347-360","source":"Crossref","is-referenced-by-count":41,"title":["15 Intrinsic dimensionality extraction"],"prefix":"10.1016","author":[{"given":"Keinosuke","family":"Fukunaga","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0169-7161(82)02018-5_bib1","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/BF02289630","article-title":"The analysis of proximities: multidimensional scaling with an unknown distance function, I","volume":"27","author":"Shepard","year":"1962","journal-title":"Psychometrika"},{"key":"10.1016\/S0169-7161(82)02018-5_bib2","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/BF02289621","article-title":"The analysis of proximities: multidimensional scaling with an unknown distance function, II","volume":"27","author":"Shepard","year":"1962","journal-title":"Psychometrika"},{"key":"10.1016\/S0169-7161(82)02018-5_bib3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02289565","article-title":"Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis","volume":"29","author":"Kruskal","year":"1964","journal-title":"Psychometrika"},{"key":"10.1016\/S0169-7161(82)02018-5_bib4","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/BF02289694","article-title":"Nonlinear multidimensional scaling: a numerical method","volume":"29","author":"Kruskal","year":"1964","journal-title":"Psychometrika"},{"key":"10.1016\/S0169-7161(82)02018-5_bib5","series-title":"Multivariate Analysis","article-title":"Parametric representation on nonlinear data structure","author":"Shepard","year":"1965"},{"key":"10.1016\/S0169-7161(82)02018-5_bib6","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1109\/T-C.1971.223208","article-title":"An algorithm for finding the intrinsic dimensionality of data","volume":"20","author":"Fukunaga","year":"1971","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0169-7161(82)02018-5_bib7","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1016\/S0019-9958(68)90591-3","article-title":"Statistical estimation of the intrinsic dimensionality of data collections","volume":"12","author":"Trunk","year":"1968","journal-title":"Inform. and Control."},{"key":"10.1016\/S0169-7161(82)02018-5_bib8","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0019-9958(68)90241-6","article-title":"Nth order autocorrelation in pattern recognition","volume":"12","author":"McLaughlin","year":"1968","journal-title":"Inform. and Control"},{"key":"10.1016\/S0169-7161(82)02018-5_bib9","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1109\/TIT.1975.1055330","article-title":"The estimation of the gradient of a density function with application in pattern recognition","volume":"21","author":"Fukunaga","year":"1975","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib10","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1109\/TIT.1969.1054365","article-title":"The intrinsic dimensionality of signal collections","volume":"15","author":"Bennett","year":"1969","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib11","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1109\/T-C.1969.222678","article-title":"A nonlinear mapping algorithm for data structure analysis","volume":"18","author":"Sammon","year":"1969","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0169-7161(82)02018-5_bib12","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/TSSC.1969.300218","article-title":"Randomly generated nonlinear transformations for pattern recognition","volume":"5","author":"Calvert","year":"1969","journal-title":"IEEE Trans. Systems Sci. Cybernet."},{"key":"10.1016\/S0169-7161(82)02018-5_bib13","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1109\/T-C.1973.223618","article-title":"Representation of nonlinear data surfaces","volume":"22","author":"Olsen","year":"1973","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0169-7161(82)02018-5_bib14","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/T-C.1972.223431","article-title":"A nonlinear feature extraction algorithm using distance transformation","volume":"21","author":"Koontz","year":"1972","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0169-7161(82)02018-5_bib15","series-title":"Proc. First Internat. Joint Conf. Pattern Recognition","first-page":"139","article-title":"Relationships between statistical risks and the least-mean-square-error design criterion in pattern recognition","author":"Devijver","year":"1973"},{"key":"10.1016\/S0169-7161(82)02018-5_bib16","first-page":"815","article-title":"An optimal nonlinear transformation based on variance criterion for pattern recognition\u2014I. Its derivation","volume":"36","author":"Otsu","year":"1972","journal-title":"Bull. Electrotechnical Laboratory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib17","first-page":"283","article-title":"An optimal nonlinear transformation based on variance criterion for pattern recognition\u2014II. Its properties and experimental confirmation","volume":"37","author":"Otsu","year":"1973","journal-title":"Bull. Electrotechnical Laboratory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib18","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1109\/TIT.1977.1055755","article-title":"On a nonlinear feature extraction","volume":"23","author":"Fukunaga","year":"1977","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib19","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIT.1978.1055942","article-title":"Nonlinear feature extraction with a general criterion function","volume":"24","author":"Fukunaga","year":"1978","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib20","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1109\/TIT.1980.1056140","article-title":"A class of feature extraction criteria and its relation to the Bayes risk estimate","volume":"26","author":"Fukunaga","year":"1978","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib21","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/TIT.1967.1053964","article-title":"Nearest neighbor pattern classification","volume":"13","author":"Cover","year":"1967","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0169-7161(82)02018-5_bib22","series-title":"Introduction to Statistical Pattern Recognition","author":"Fukunaga","year":"1972"}],"container-title":["Handbook of Statistics","Classification Pattern Recognition and Reduction of Dimensionality"],"original-title":[],"language":"en","deposited":{"date-parts":[[2019,1,27]],"date-time":"2019-01-27T02:56:47Z","timestamp":1548557807000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0169716182020185"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982]]},"ISBN":["9780444862174"],"references-count":22,"URL":"https:\/\/doi.org\/10.1016\/s0169-7161(82)02018-5","relation":{},"ISSN":["0169-7161"],"issn-type":[{"value":"0169-7161","type":"print"}],"subject":[],"published":{"date-parts":[[1982]]}}}