{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T11:33:10Z","timestamp":1743075190254,"version":"3.40.3"},"publisher-location":"Cham","reference-count":5,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319604374"},{"type":"electronic","value":"9783319604381"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","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":[[2017]]},"DOI":"10.1007\/978-3-319-60438-1_10","type":"book-chapter","created":{"date-parts":[[2017,6,13]],"date-time":"2017-06-13T00:13:43Z","timestamp":1497312823000},"page":"97-104","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Existence of Kernel Function for Kernel-Trick of k-Means"],"prefix":"10.1007","author":[{"given":"Mieczys\u0142aw A.","family":"K\u0142opotek","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,6,14]]},"reference":[{"key":"10_CR1","first-page":"1","volume":"7","author":"JC Gower","year":"1982","unstructured":"Gower, J.C.: Euclidean distance geometry. Math. Sci. 7, 1\u201314 (1982)","journal-title":"Math. Sci."},{"key":"10_CR2","doi-asserted-by":"crossref","unstructured":"Dhillon, I.S., Guan, Y., Kulis, B.: Kernel k-means: spectral clustering and normalized cuts. In: Proceedings of the Tenth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD 2004, pp. 551\u2013556. ACM, New York (2004)","DOI":"10.1145\/1014052.1014118"},{"issue":"1","key":"10_CR3","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1016\/j.laa.2006.05.013","volume":"424","author":"R Balaji","year":"2007","unstructured":"Balaji, R., Bapat, R.B.: On Euclidean distance matrices. Linear Algebra Appl. 424(1), 108\u2013117 (2007)","journal-title":"Linear Algebra Appl."},{"issue":"3","key":"10_CR4","doi-asserted-by":"publisher","first-page":"724","DOI":"10.2307\/1968654","volume":"36","author":"IJ Schoenberg","year":"1935","unstructured":"Schoenberg, I.J.: Remarks to Maurice Fr\u00e9chet\u2019s article \u201cSur la d\u00e9finition axiomatique d\u2019une classe d\u2019espace distanci\u00e9s vectoriellement applicable sur l\u2019 espace de Hilbert\u201d. Ann. Math. 36(3), 724\u2013732 (1935)","journal-title":"Ann. Math."},{"issue":"1","key":"10_CR5","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/BF01896809","volume":"3","author":"JC Gower","year":"1986","unstructured":"Gower, J.C., Legendre, P.: Metric and Euclidean properties of dissimilarity coefficients. J. Classif. 3(1), 5\u201348 (1986). (Here Gower: 1982 is cited in theorem 4, but with a different form of condditions for D and s)","journal-title":"J. Classif."}],"container-title":["Lecture Notes in Computer Science","Foundations of Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-60438-1_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T08:38:49Z","timestamp":1710232729000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-60438-1_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319604374","9783319604381"],"references-count":5,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-60438-1_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"14 June 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ISMIS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Methodologies for Intelligent Systems","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Warsaw","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Poland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 June 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 June 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ismis2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ismis2017.ii.pw.edu.pl\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}