{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T08:25:47Z","timestamp":1725870347806},"publisher-location":"Cham","reference-count":28,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319457628"},{"type":"electronic","value":"9783319457635"}],"license":[{"start":{"date-parts":[[2016,11,4]],"date-time":"2016-11-04T00:00:00Z","timestamp":1478217600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-45763-5_8","type":"book-chapter","created":{"date-parts":[[2016,11,3]],"date-time":"2016-11-03T16:25:45Z","timestamp":1478190345000},"page":"141-155","source":"Crossref","is-referenced-by-count":1,"title":["Ultrametricity of Dissimilarity Spaces and Its Significance for Data Mining"],"prefix":"10.1007","author":[{"given":"Dan A.","family":"Simovici","sequence":"first","affiliation":[]},{"given":"Rosanne","family":"Vetro","sequence":"additional","affiliation":[]},{"given":"Kaixun","family":"Hua","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,11,4]]},"reference":[{"key":"8_CR1","volume-title":"Les nombres p-adiques","author":"Y Amice","year":"1975","unstructured":"Amice, Y. (1975). Les nombres p-adiques. Paris: Presses Universitaires de France."},{"issue":"8","key":"8_CR2","doi-asserted-by":"crossref","first-page":"1237","DOI":"10.1016\/j.dam.2007.05.024","volume":"156","author":"J-P Barth\u00e9lemy","year":"2008","unstructured":"Barth\u00e9lemy, J.-P., & Brucker, F. (2008). Binary clustering. Discrete Applied Mathematics, 156(8), 1237\u20131250.","journal-title":"Discrete Applied Mathematics"},{"issue":"3","key":"8_CR3","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s10288-004-0051-9","volume":"2","author":"J-P Barth\u00e9lemy","year":"2004","unstructured":"Barth\u00e9lemy, J.-P., Brucker, F., & Osswald, C. (2004). Combinatorial optimization and hierarchical classifications. 4OR, 2(3), 179\u2013219.","journal-title":"4OR"},{"issue":"1\u20133","key":"8_CR4","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0166-218X(01)00354-7","volume":"122","author":"P Bertrand","year":"2002","unstructured":"Bertrand, P., & Janowitz, M. F. (2002). Pyramids and weak hierarchies in the ordinal model for clustering. Discrete Applied Mathematics, 122(1\u20133), 55\u201381.","journal-title":"Discrete Applied Mathematics"},{"issue":"7","key":"8_CR5","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1016\/j.dam.2005.09.011","volume":"154","author":"F Brucker","year":"2006","unstructured":"Brucker, F. (2006). Sub-dominant theory in numerical taxonomy. Discrete Applied Mathematics, 154(7), 1085\u20131099.","journal-title":"Discrete Applied Mathematics"},{"issue":"2","key":"8_CR6","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1007\/s00357-012-9106-3","volume":"29","author":"P Contreras","year":"2012","unstructured":"Contreras, P., & Murtagh, F. (2012). Fast, linear time hierarchical clustering using the baire metric. Journal of Classification, 29(2), 118\u2013143.","journal-title":"Journal of Classification"},{"key":"8_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-04295-9","volume-title":"Geometry of cuts and metrics","author":"MM Deza","year":"1997","unstructured":"Deza, M. M., & Laurent, M. (1997). Geometry of cuts and metrics. Heidelberg: Springer."},{"key":"8_CR8","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.dam.2014.07.023","volume":"180","author":"M Summa Di","year":"2015","unstructured":"Di Summa, M., Pritchard, D., & Sanit\u00e0, L. (2015). Finding the closest ultrametric. Discrete Applied Mathematics, 180, 70\u201380.","journal-title":"Discrete Applied Mathematics"},{"issue":"1\u20133","key":"8_CR9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0012-365X(98)00067-3","volume":"192","author":"J Diatta","year":"1998","unstructured":"Diatta, J., & Fichet, B. (1998). Quasi-ultrametrics and their 2-ball hypergraphs. Discrete Mathematics, 192(1\u20133), 87\u2013102.","journal-title":"Discrete Mathematics"},{"key":"8_CR10","volume-title":"Classification","author":"AD Gordon","year":"1981","unstructured":"Gordon, A. D. (1981). Classification. London: Chapman and Hall."},{"issue":"2","key":"8_CR11","doi-asserted-by":"crossref","first-page":"119","DOI":"10.2307\/2981629","volume":"150","author":"AD Gordon","year":"1987","unstructured":"Gordon, A. D. (1987). A review of hierarchical classification. Journal of the Royal Statistical Society, Series (A), 150(2), 119\u2013137.","journal-title":"Journal of the Royal Statistical Society, Series (A)"},{"key":"8_CR12","volume-title":"Mathematical taxonomy","author":"N Jardine","year":"1971","unstructured":"Jardine, N., & Sibson, R. (1971). Mathematical taxonomy. New York: Wiley."},{"key":"8_CR13","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316801","volume-title":"Finding groups in data: An introduction to cluster analysis","author":"L Kaufman","year":"1990","unstructured":"Kaufman, L., & Rousseeuw, P. J. (1990). Finding groups in data: An introduction to cluster analysis. New York: Wiley."},{"key":"8_CR14","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511623486","volume-title":"The neutral theory of molecular evolution","author":"M Kimura","year":"1983","unstructured":"Kimura, M. (1983). The neutral theory of molecular evolution. Cambridge: Cambridge University Press."},{"key":"8_CR15","first-page":"5","volume":"92","author":"B Leclerc","year":"1985","unstructured":"Leclerc, B. (1985). La comparaison des hi\u00e9rarchies: indices et m\u00e9triques. Math\u00e9matiques et sciences humaines, 92, 5\u201340.","journal-title":"Math\u00e9matiques et sciences humaines"},{"key":"8_CR16","volume-title":"Classification et Analyse Ordinale des Donn\u00e9es","author":"IC Lerman","year":"1981","unstructured":"Lerman, I. C. (1981). Classification et Analyse Ordinale des Donn\u00e9es. Paris: Dunod."},{"doi-asserted-by":"crossref","unstructured":"Liu, Y., Li, Z., Xiong, H., Gao, X., & Wu, J. (2010). Understanding of internal clustering validation measures. In 2010 IEEE 10th international conference on data mining (pp. 911\u2013916). IEEE.","key":"8_CR17","DOI":"10.1109\/ICDM.2010.35"},{"key":"8_CR18","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511809071","volume-title":"Introduction to information retrieval","author":"CD Manning","year":"2008","unstructured":"Manning, C. D., Raghwan, P., & Sch\u00fctze, H. (2008). Introduction to information retrieval. Cambridge: Cambridge University Press."},{"issue":"12","key":"8_CR19","doi-asserted-by":"crossref","first-page":"1650","DOI":"10.1109\/TPAMI.2002.1114856","volume":"24","author":"U Maulik","year":"2002","unstructured":"Maulik, U., & Bandyopadhyay, S. (2002). Performance evaluation of some clustering algorithms and validity indices. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(12), 1650\u20131654.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"2","key":"8_CR20","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/060676532","volume":"30","author":"F Murtagh","year":"2008","unstructured":"Murtagh, F., Downs, G., & Contreras, P. (2008). Hierarchical clustering of massive, high dimensional data sets by exploiting ultrametric embedding. SIAM Journal on Scientific Computing, 30(2), 707\u2013730.","journal-title":"SIAM Journal on Scientific Computing"},{"key":"8_CR21","doi-asserted-by":"crossref","DOI":"10.1515\/9781400856244","volume-title":"Molecular approaches to evolution","author":"J Ninio","year":"1983","unstructured":"Ninio, J. (1983). Molecular approaches to evolution. Princeton: Princeton University."},{"key":"8_CR22","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1051\/jphyslet:019850046020094500","volume":"45","author":"R Rammal","year":"1985","unstructured":"Rammal, R., Angles d\u2019Auriac, C., & Doucot, D. (1985). On the degree of ultrametricity. Le Journal de Physique - Letteres, 45, 945\u2013952.","journal-title":"Le Journal de Physique - Letteres"},{"key":"8_CR23","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1103\/RevModPhys.58.765","volume":"58","author":"R Rammal","year":"1986","unstructured":"Rammal, R., Toulouse, G., & Virasoro, M. A. (1986). Ultrametricity for physicists. Reviews of Modern Physics, 58, 765\u2013788.","journal-title":"Reviews of Modern Physics"},{"key":"8_CR24","volume-title":"Ultrametric calculus","author":"WH Schikhof","year":"1984","unstructured":"Schikhof, W. H. (1984). Ultrametric calculus. Cambridge: Cambridge University Press."},{"doi-asserted-by":"crossref","unstructured":"Simovici, D. A., & Djeraba, C. (2014). Mathematical tools for data mining (2nd ed.). London: Springer.","key":"8_CR25","DOI":"10.1007\/978-1-4471-6407-4"},{"key":"8_CR26","volume-title":"Introduction to data mining","author":"PN Tang","year":"2005","unstructured":"Tang, P. N., Steinbach, M., & Kumar, V. (2005). Introduction to data mining. Reading: Addison-Wesley."},{"issue":"2","key":"8_CR27","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1109\/TSMCB.2008.2004559","volume":"39","author":"H Xiong","year":"2009","unstructured":"Xiong, H., Wu, J., & Chen, J. (2009). K-means clustering versus validation measures: a data-distribution perspective. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 39(2), 318\u2013331.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics"},{"doi-asserted-by":"crossref","unstructured":"Zhao, Y., & Karypis, G. (2002). Evaluation of hierarchical clustering algorithms for document datasets. In Proceedings of the Eleventh International Conference on Information and Knowledge Management (pp. 515\u2013524). ACM.","key":"8_CR28","DOI":"10.1145\/584792.584877"}],"container-title":["Studies in Computational Intelligence","Advances in Knowledge Discovery and Management"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-45763-5_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T02:44:10Z","timestamp":1498358650000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-45763-5_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,4]]},"ISBN":["9783319457628","9783319457635"],"references-count":28,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-45763-5_8","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2016,11,4]]}}}