{"id":"https://openalex.org/W3166994320","doi":"https://doi.org/10.1145/3452021.3458322","title":"Minimum Coresets for Maxima Representation of Multidimensional Data","display_name":"Minimum Coresets for Maxima Representation of Multidimensional Data","publication_year":2021,"publication_date":"2021-06-18","ids":{"openalex":"https://openalex.org/W3166994320","doi":"https://doi.org/10.1145/3452021.3458322","mag":"3166994320"},"language":"en","primary_location":{"id":"doi:10.1145/3452021.3458322","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452021.3458322","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 40th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10138/333090","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065488679","display_name":"Yanhao Wang","orcid":"https://orcid.org/0000-0002-7661-3917"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Yanhao Wang","raw_affiliation_strings":["University of Helsinki, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"University of Helsinki, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077299582","display_name":"Michael Mathioudakis","orcid":"https://orcid.org/0000-0003-0074-3966"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Michael Mathioudakis","raw_affiliation_strings":["University of Helsinki, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"University of Helsinki, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100348344","display_name":"Yuchen Li","orcid":"https://orcid.org/0000-0001-9646-291X"},"institutions":[{"id":"https://openalex.org/I79891267","display_name":"Singapore Management University","ror":"https://ror.org/050qmg959","country_code":"SG","type":"education","lineage":["https://openalex.org/I79891267"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yuchen Li","raw_affiliation_strings":["Singapore Management University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Singapore Management University, Singapore, Singapore","institution_ids":["https://openalex.org/I79891267"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077593594","display_name":"Kian\u2010Lee Tan","orcid":"https://orcid.org/0000-0001-9315-4057"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kian-Lee Tan","raw_affiliation_strings":["National University of Singapore, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065488679"],"corresponding_institution_ids":["https://openalex.org/I133731052"],"apc_list":null,"apc_paid":null,"fwci":1.6971,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84415758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.6346842050552368},{"id":"https://openalex.org/keywords/automatic-summarization","display_name":"Automatic summarization","score":0.5696062445640564},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5617175102233887},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5557213425636292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5497322082519531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5219792127609253},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5138754844665527},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.49108004570007324},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4538581967353821},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43560630083084106},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34337830543518066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3385310173034668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3035205006599426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10336923599243164},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07461538910865784}],"concepts":[{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.6346842050552368},{"id":"https://openalex.org/C170858558","wikidata":"https://www.wikidata.org/wiki/Q1394144","display_name":"Automatic summarization","level":2,"score":0.5696062445640564},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5617175102233887},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5557213425636292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5497322082519531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5219792127609253},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5138754844665527},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.49108004570007324},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4538581967353821},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43560630083084106},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34337830543518066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3385310173034668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3035205006599426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10336923599243164},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07461538910865784},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3452021.3458322","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452021.3458322","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 40th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:helda.helsinki.fi:10138/333090","is_oa":true,"landing_page_url":"http://hdl.handle.net/10138/333090","pdf_url":"http://hdl.handle.net/10138/333090","source":{"id":"https://openalex.org/S4210213322","display_name":"Ty\u00f6v\u00e4entutkimus Vuosikirja","issn_l":"0784-1272","issn":["0784-1272","1459-7780"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"},{"id":"pmh:oai:ink.library.smu.edu.sg:sis_research-7205","is_oa":true,"landing_page_url":"https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=7205&context=sis_research","pdf_url":null,"source":{"id":"https://openalex.org/S4377196871","display_name":"Institutional Knowledge (InK) - Institutional Knowledge at Singapore Management University (Singapore Management University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79891267","host_organization_name":"Singapore Management University","host_organization_lineage":["https://openalex.org/I79891267"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1145/3452021.3458322","raw_type":"Conference Proceeding Article"}],"best_oa_location":{"id":"pmh:oai:helda.helsinki.fi:10138/333090","is_oa":true,"landing_page_url":"http://hdl.handle.net/10138/333090","pdf_url":"http://hdl.handle.net/10138/333090","source":{"id":"https://openalex.org/S4210213322","display_name":"Ty\u00f6v\u00e4entutkimus Vuosikirja","issn_l":"0784-1272","issn":["0784-1272","1459-7780"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7859161399","display_name":null,"funder_award_id":"322046","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3166994320.pdf","grobid_xml":"https://content.openalex.org/works/W3166994320.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W796538645","https://openalex.org/W800095131","https://openalex.org/W1832789681","https://openalex.org/W1967005434","https://openalex.org/W1976459066","https://openalex.org/W1981313592","https://openalex.org/W1992065791","https://openalex.org/W1998952728","https://openalex.org/W2010348345","https://openalex.org/W2013451793","https://openalex.org/W2038647971","https://openalex.org/W2045134120","https://openalex.org/W2045964207","https://openalex.org/W2063567013","https://openalex.org/W2084224084","https://openalex.org/W2085121963","https://openalex.org/W2091019790","https://openalex.org/W2092181172","https://openalex.org/W2120871456","https://openalex.org/W2122666614","https://openalex.org/W2130642806","https://openalex.org/W2143996311","https://openalex.org/W2153504150","https://openalex.org/W2156887552","https://openalex.org/W2169528473","https://openalex.org/W2218835040","https://openalex.org/W2247953682","https://openalex.org/W2498954876","https://openalex.org/W2570203338","https://openalex.org/W2594880695","https://openalex.org/W2605212527","https://openalex.org/W2612011639","https://openalex.org/W2732952737","https://openalex.org/W2782288225","https://openalex.org/W2791243274","https://openalex.org/W2807006342","https://openalex.org/W2890736686","https://openalex.org/W2903127860","https://openalex.org/W2944647694","https://openalex.org/W2953381419","https://openalex.org/W2963075731","https://openalex.org/W2963250149","https://openalex.org/W2972489082","https://openalex.org/W2984115492","https://openalex.org/W2996832948","https://openalex.org/W3014125413","https://openalex.org/W3034251946","https://openalex.org/W3041834803","https://openalex.org/W3098031065","https://openalex.org/W3099686372","https://openalex.org/W3103333989","https://openalex.org/W4302287120","https://openalex.org/W6639147434","https://openalex.org/W6747135901"],"related_works":["https://openalex.org/W2366403280","https://openalex.org/W1495108544","https://openalex.org/W3148229873","https://openalex.org/W2150160875","https://openalex.org/W4242223894","https://openalex.org/W2091301346","https://openalex.org/W1517524280","https://openalex.org/W4389760904","https://openalex.org/W4306886878","https://openalex.org/W4323520239"],"abstract_inverted_index":{"Coresets":[0],"are":[1],"succinct":[2],"summaries":[3],"of":[4,68,75,113,118,125,128,151,170,178,250],"large":[5],"datasets":[6,244],"such":[7],"that,":[8],"for":[9,51,64,109,130,167,174,192],"a":[10,17,72,85,97,160,179,207],"given":[11],"problem,":[12],"the":[13,23,27,65,110,116,126,140,145,149,171,175,183,193,203,247],"solution":[14,24],"obtained":[15,25],"from":[16,26],"coreset":[18],"is":[19,84,104,120,142,216],"provably":[20],"competitive":[21],"with":[22],"full":[28],"dataset.":[29],"As":[30],"such,":[31],"coreset-based":[32],"data":[33],"summarization":[34],"techniques":[35],"have":[36],"been":[37],"successfully":[38],"applied":[39],"to":[40,55,245],"various":[41],"problems,":[42],"e.g.,":[43],"geometric":[44],"optimization,":[45],"clustering,":[46],"and":[47,88,156,223,242],"approximate":[48],"query":[49],"processing,":[50],"scaling":[52],"them":[53],"up":[54],"massive":[56],"data.":[57],"In":[58],"this":[59,214],"paper,":[60],"we":[61,186,211,234],"study":[62],"coresets":[63],"maxima":[66,111,176],"representation":[67,112,177],"multidimensional":[69],"data:":[70],"Given":[71],"set":[73,150],"P":[74,102,114,129],"points":[76,152],"in":[77,206,218,228],"$":[78,92,99,103,106,122,133,195],"\\mathbbR":[79,136],"^d":[80,137],"$,":[81,96,138],"where":[82,139],"d":[83],"small":[86],"constant,":[87],"an":[89,105,121,168,188,229],"error":[90],"parameter":[91],"\\varepsilon":[93,107,123,196],"\\in":[94,135],"(0,1)":[95],"subset":[98],"Q":[100,119],"\\subseteq":[101],"$-coreset":[108,197],"iff":[115],"maximum":[117,127,141],"$-approximation":[124],"any":[131],"vector":[132],"u":[134],"taken":[143],"over":[144],"inner":[146],"products":[147],"between":[148],"(P":[153],"or":[154,220],"Q)":[155],"u.":[157],"We":[158],"define":[159],"novel":[161],"minimum":[162,194],"$\\varepsilon$-coreset":[163,169],"problem":[164,198,205,215],"that":[165,213],"asks":[166],"smallest":[172],"size":[173],"point":[180],"set.":[181],"For":[182],"two-dimensional":[184],"case,":[185],"develop":[187],"optimal":[189],"polynomial-time":[190,225],"algorithm":[191],"by":[199],"transforming":[200],"it":[201],"into":[202],"shortest-cycle":[204],"directed":[208],"graph.":[209],"Then,":[210],"prove":[212],"NP-hard":[217],"three":[219],"higher":[221],"dimensions":[222],"present":[224],"approximation":[226],"algorithms":[227],"arbitrary":[230],"fixed":[231],"dimension.":[232],"Finally,":[233],"provide":[235],"extensive":[236],"experimental":[237],"results":[238],"on":[239],"both":[240],"real":[241],"synthetic":[243],"demonstrate":[246],"superior":[248],"performance":[249],"our":[251],"proposed":[252],"algorithms.":[253]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
