{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T01:29:29Z","timestamp":1725758969061},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319015941"},{"type":"electronic","value":"9783319015958"}],"license":[{"start":{"date-parts":[[2013,10,10]],"date-time":"2013-10-10T00:00:00Z","timestamp":1381363200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-01595-8_9","type":"book-chapter","created":{"date-parts":[[2013,11,26]],"date-time":"2013-11-26T07:32:57Z","timestamp":1385451177000},"page":"79-86","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Alpha-Procedure: A Nonparametric Invariant Method for Automatic Classification of Multi-Dimensional Objects"],"prefix":"10.1007","author":[{"given":"Tatjana","family":"Lange","sequence":"first","affiliation":[]},{"given":"Pavlo","family":"Mozharovskyi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,10,10]]},"reference":[{"key":"9_CR1","volume-title":"Metod potencialnych funkcij v teorii obucenia mashin (The method of potential functions in machine learning theory) [in Russian]","author":"M. A. Aizerman","year":"1970","unstructured":"Aizerman, M. A., Braverman, E. M., & Rozonoer, L. I. (1970). Metod potencialnych funkcij v teorii obucenia mashin (The method of potential functions in machine learning theory) [in Russian]. Moscow: Nauka."},{"key":"9_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-84858-7","volume-title":"The elements of statistical learning: Data mining, inference, and prediction","author":"T. Hastie","year":"2009","unstructured":"Hastie, T., Tibshirani, R., & Friedman, J. H. (2009). The elements of statistical learning: Data mining, inference, and prediction (2nd ed.). New York: Springer.","edition":"2"},{"doi-asserted-by":"crossref","unstructured":"Lange, T., Mosler, K., & Mozharovskyi, P. (2012a). Fast nonparametric classification based on data depth. Statistical papers (to appear).","key":"9_CR3","DOI":"10.1007\/s00362-012-0488-4"},{"key":"9_CR4","volume-title":"Data analysis, machine learning and knowledge discovery","author":"T. Lange","year":"2012","unstructured":"Lange, T., Mosler, K., & Mozharovskyi, P. (2012b). DD\u03b1 classification of asymmetric and fat-tailed data. In M. Spiliopoulou, L. Schmidt-Thieme, & R. Janning (Eds.), Data analysis, machine learning and knowledge discovery. Heidelberg: Springer."},{"key":"9_CR5","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1080\/01621459.2012.688462","volume":"107","author":"J. Li","year":"2012","unstructured":"Li, J., Cuesta-Albertos, J. A., & Liu, R. Y. (2012). DD-classifier: Nonparametric classification procedure based on DD-plot. Journal of the American Statistical Association, 107, 737\u2013753.","journal-title":"Journal of the American Statistical Association"},{"key":"9_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0045-8","volume-title":"Multivariate dispersion, central regions and depth: The lift zonoid approach","author":"K. Mosler","year":"2002","unstructured":"Mosler, K. (2002). Multivariate dispersion, central regions and depth: The lift zonoid approach. New York: Springer."},{"issue":"7","key":"9_CR7","doi-asserted-by":"publisher","first-page":"2000","DOI":"10.1016\/j.csda.2009.01.017","volume":"53","author":"K. Mosler","year":"2009","unstructured":"Mosler, K., Lange, T., & Bazovkin, P. (2009). Computing zonoid trimmed regions of dimension d > 2. Computational Statistics and Data Analysis, 53(7), 2000\u20132010.","journal-title":"Computational Statistics and Data Analysis"},{"key":"9_CR8","first-page":"615","volume-title":"Proceedings of the symposium on mathematical theory of automata","author":"A. Novikoff","year":"1962","unstructured":"Novikoff, A. (1962). On convergence proofs for perceptrons. In Proceedings of the symposium on mathematical theory of automata (pp. 615\u2013622). Brooklyn, NY: Polytechnic Institute of Brooklyn."},{"key":"9_CR9","volume-title":"Theory of pattern recognition (in Russian)","author":"V. Vapnik","year":"1974","unstructured":"Vapnik, V., & Chervonenkis, A. (1974). Theory of pattern recognition (in Russian). Moscow: Nauka."},{"key":"9_CR10","volume-title":"Recognition systems \u2013 Reference book (in Russian)","author":"V. I. Vasil\u2019ev","year":"1969","unstructured":"Vasil\u2019ev, V. I. (1969). Recognition systems \u2013 Reference book (in Russian). Kyiv: Naukova Dumka."},{"key":"9_CR11","first-page":"239","volume":"1\u20132","author":"V. I. Vasil\u2019ev","year":"1996","unstructured":"Vasil\u2019ev, V. I. (1996). The theory of reduction in extrapolation problem (in Russian). Problemy Upravleniya i Informatiki, 1\u20132, 239\u2013251.","journal-title":"Problemy Upravleniya i Informatiki"},{"issue":"5","key":"9_CR12","first-page":"69","volume":"39","author":"V. I. Vasil\u2019ev","year":"2003","unstructured":"Vasil\u2019ev, V. I. (2003). The reduction principle in problems of revealing regularities. Part I (in Russian). Cybernetics and System Analysis, 39(5), 69\u201381.","journal-title":"System Analysis"},{"issue":"1","key":"9_CR13","first-page":"9","volume":"40","author":"V. I. Vasil\u2019ev","year":"2004","unstructured":"Vasil\u2019ev, V. I. (2004). The reduction principle in problems of revealing regularities. Part II (in Russian). Cybernetics and System Analysis, 40(1), 9\u201322.","journal-title":"System Analysis"},{"key":"9_CR14","first-page":"7","volume":"121","author":"V. I. Vasil\u2019ev","year":"1998","unstructured":"Vasil\u2019ev, V. I., & Lange, T. (1998). The duality principle in learning for pattern recognition (in Russian). Kibernetika i Vytschislit\u2019elnaya Technika, 121, 7\u201316.","journal-title":"Kibernetika i Vytschislit\u2019elnaya Technika"}],"container-title":["Studies in Classification, Data Analysis, and Knowledge Organization","Data Analysis, Machine Learning and Knowledge Discovery"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-01595-8_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T19:17:28Z","timestamp":1558725448000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-01595-8_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,10]]},"ISBN":["9783319015941","9783319015958"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-01595-8_9","relation":{},"ISSN":["1431-8814"],"issn-type":[{"type":"print","value":"1431-8814"}],"subject":[],"published":{"date-parts":[[2013,10,10]]},"assertion":[{"value":"10 October 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}