{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T18:37:14Z","timestamp":1772908634779,"version":"3.50.1"},"reference-count":36,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"HDR TRIPODS","award":["CCF-1934931"],"award-info":[{"award-number":["CCF-1934931"]}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1955351"],"award-info":[{"award-number":["CCF-1955351"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1718820"],"award-info":[{"award-number":["CCF-1718820"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1955173"],"award-info":[{"award-number":["CCF-1955173"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1934843"],"award-info":[{"award-number":["CCF-1934843"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Comput."],"published-print":{"date-parts":[[2023,4]]},"DOI":"10.1137\/20m1330701","type":"journal-article","created":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T15:46:28Z","timestamp":1647272788000},"page":"STOC19-269-STOC19-297","source":"Crossref","is-referenced-by-count":1,"title":["Performance of Johnson--Lindenstrauss Transform for $k$-Means and $k$-Medians Clustering"],"prefix":"10.1137","volume":"52","author":[{"given":"Konstantin","family":"Makarychev","sequence":"first","affiliation":[]},{"given":"Yury","family":"Makarychev","sequence":"additional","affiliation":[]},{"given":"Ilya","family":"Razenshteyn","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2022,3,14]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0000(03)00025-4"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1145\/1132516.1132597"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-008-9110-x"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1145\/2483699.2483701"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(03)00227-9"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1145\/3313276.3316318"},{"key":"atypb7","first-page":"153","volume-title":"Curran Associates","author":"Boutsidis C.","year":"2009"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2255021"},{"key":"atypb9","first-page":"298","volume-title":"Advances in Neural Information Processing Systems","author":"Boutsidis C.","year":"2010"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2375327"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1145\/2746539.2746569"},{"key":"atypb12","first-page":"1","volume-title":"Proceedings of the International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik","author":"Cohen M. B.","year":"2016"},{"key":"atypb13","first-page":"341","volume-title":"Prooceedings of the Symposium on Theory of Computing","author":"Dasgupta A.","year":"2010"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.10073"},{"key":"atypb15","first-page":"291","volume-title":"Proceedings of the Symposium on Discrete Algorithms, SIAM","author":"Drineas P.","year":"1999"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1109\/18.53739"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973105.103"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1145\/276698.276876"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2009.09.011"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2010.57"},{"key":"atypb21","volume-title":"Conference in Modern Analysis and Probability","author":"Johnson W.","year":"1982"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1145\/2559902"},{"key":"atypb23","volume-title":"Tutorial Simons Inst.","author":"Kannan R.","year":"2018"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.4064\/fm-22-1-77-108"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2004.10.009"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1137\/100810447"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2017.64"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1015957395"},{"key":"atypb29","volume-title":"Probability in Banach Spaces: Isoperimetry and Processes","author":"Ledoux M.","year":"2011"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056489"},{"key":"atypb31","first-page":"759","volume-title":"Proceedings of the International Congress of Mathematicians, Rio de Janeiro","author":"Naor A.","year":"2018"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973402.111"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2006.37"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1958.8.171"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2018.00081"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1017\/9781108231596"}],"container-title":["SIAM Journal on Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,4,28]],"date-time":"2023-04-28T19:57:26Z","timestamp":1682711846000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1330701"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,14]]},"references-count":36,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,4,30]]}},"alternative-id":["10.1137\/20M1330701"],"URL":"https:\/\/doi.org\/10.1137\/20m1330701","relation":{},"ISSN":["0097-5397","1095-7111"],"issn-type":[{"value":"0097-5397","type":"print"},{"value":"1095-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,14]]}}}