{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T01:31:59Z","timestamp":1769218319607,"version":"3.49.0"},"publisher-location":"New York, NY, USA","reference-count":16,"publisher":"ACM","license":[{"start":{"date-parts":[[2009,6,8]],"date-time":"2009-06-08T00:00:00Z","timestamp":1244419200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2009,6,8]]},"DOI":"10.1145\/1542362.1542419","type":"proceedings-article","created":{"date-parts":[[2009,6,9]],"date-time":"2009-06-09T12:44:24Z","timestamp":1244551464000},"page":"324-332","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":35,"title":["k-means requires exponentially many iterations even in the plane"],"prefix":"10.1145","author":[{"given":"Andrea","family":"Vattani","sequence":"first","affiliation":[{"name":"University of California, San Diego, San Diego, CA, USA"}]}],"member":"320","published-online":{"date-parts":[[2009,6,8]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1055558.1055581"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1137856.1137880"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2006.79"},{"key":"e_1_3_2_1_4_1","volume-title":"Accrue Software","author":"Berkhin Pavel","year":"2002"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-45167-9_56"},{"key":"e_1_3_2_1_6_1","volume-title":"Pattern Classification","author":"Duda Richard O.","year":"2000"},{"key":"e_1_3_2_1_7_1","volume-title":"Biometric Society Meeting","author":"W.","year":"1965"},{"key":"e_1_3_2_1_8_1","first-page":"281","volume-title":"4th Annual Hawaii International Conference on Statistics and Mathematics","author":"Gibou Frederic","year":"2005"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00453-004-1127-9"},{"key":"e_1_3_2_1_10_1","volume-title":"IEICE Transactions on Information and Systems, E83-D(6):1199--1206","author":"Inaba Mary","year":"2000"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2004.03.003"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056489"},{"key":"e_1_3_2_1_13_1","volume-title":"Proceedings of 5th Berkeley Symposium on Mathematical Statistics and Probability","author":"MacQueen J. B.","year":"1967"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.5555\/1496770.1496821"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/990308.990310"},{"key":"e_1_3_2_1_16_1","unstructured":"Andrea Vattani. k-means lower bound implementation. www.cse.ucsd.edu\/~avattani\/k-means\/lowerbound.py  Andrea Vattani. k-means lower bound implementation. www.cse.ucsd.edu\/~avattani\/k-means\/lowerbound.py"}],"event":{"name":"SoCG '09: 25th Annual Symposium on Computational Geometry","location":"Aarhus Denmark","acronym":"SoCG '09","sponsor":["SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques","ACM Association for Computing Machinery","SIGACT ACM Special Interest Group on Algorithms and Computation Theory"]},"container-title":["Proceedings of the twenty-fifth annual symposium on Computational geometry"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1542362.1542419","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1542362.1542419","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T13:29:55Z","timestamp":1750253395000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1542362.1542419"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6,8]]},"references-count":16,"alternative-id":["10.1145\/1542362.1542419","10.1145\/1542362"],"URL":"https:\/\/doi.org\/10.1145\/1542362.1542419","relation":{},"subject":[],"published":{"date-parts":[[2009,6,8]]},"assertion":[{"value":"2009-06-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}