{"id":"https://openalex.org/W2951019399","doi":"https://doi.org/10.1145/3292500.3330846","title":"K-Multiple-Means","display_name":"K-Multiple-Means","publication_year":2019,"publication_date":"2019-07-25","ids":{"openalex":"https://openalex.org/W2951019399","doi":"https://doi.org/10.1145/3292500.3330846","mag":"2951019399"},"language":"en","primary_location":{"id":"doi:10.1145/3292500.3330846","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3292500.3330846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery &amp; Data Mining","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003222421","display_name":"Feiping Nie","orcid":"https://orcid.org/0000-0002-0871-6519"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feiping Nie","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367825","display_name":"Chenglong Wang","orcid":"https://orcid.org/0000-0003-2391-0923"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng-Long Wang","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106943753","display_name":"Xuelong Li","orcid":"https://orcid.org/0000-0003-2924-946X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuelong Li","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, Xi'an Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003222421"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":7.4208,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.97703044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"959","last_page":"967"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9932000041007996,"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/T13731","display_name":"Advanced Computing and Algorithms","score":0.9611999988555908,"subfield":{"id":"https://openalex.org/subfields/3322","display_name":"Urban Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7098766565322876},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5480822920799255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5480499267578125},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.501823902130127},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4822007715702057},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4280872344970703},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.41528624296188354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4033088684082031},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3219100832939148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32190096378326416},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2506425976753235},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16415813565254211}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7098766565322876},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5480822920799255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5480499267578125},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.501823902130127},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4822007715702057},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4280872344970703},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.41528624296188354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4033088684082031},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3219100832939148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32190096378326416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2506425976753235},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16415813565254211},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3292500.3330846","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3292500.3330846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery &amp; Data Mining","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1578099820","https://openalex.org/W1971784203","https://openalex.org/W1975172027","https://openalex.org/W1979089718","https://openalex.org/W1982952634","https://openalex.org/W1986007546","https://openalex.org/W1992419399","https://openalex.org/W1995450389","https://openalex.org/W2023701626","https://openalex.org/W2039944676","https://openalex.org/W2040810017","https://openalex.org/W2050151315","https://openalex.org/W2053677366","https://openalex.org/W2066435331","https://openalex.org/W2073459066","https://openalex.org/W2076552121","https://openalex.org/W2096765209","https://openalex.org/W2099242680","https://openalex.org/W2121947440","https://openalex.org/W2125687218","https://openalex.org/W2127218421","https://openalex.org/W2131687179","https://openalex.org/W2132205911","https://openalex.org/W2132914434","https://openalex.org/W2133576408","https://openalex.org/W2134089414","https://openalex.org/W2139850885","https://openalex.org/W2150374480","https://openalex.org/W2150593711","https://openalex.org/W2150753219","https://openalex.org/W2152322845","https://openalex.org/W2155074104","https://openalex.org/W2159237780","https://openalex.org/W2165874743","https://openalex.org/W2299467264","https://openalex.org/W2343075025","https://openalex.org/W2574833973","https://openalex.org/W2577472518","https://openalex.org/W2751449619","https://openalex.org/W2809506935","https://openalex.org/W4246396312"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2077383796","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2080136900","https://openalex.org/W2054458431","https://openalex.org/W3013576436","https://openalex.org/W2115167491","https://openalex.org/W2567825307","https://openalex.org/W2391237956"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"make":[4],"an":[5,97,112],"extension":[6],"of":[7,12,27,35,49,104,119,145,180],"K-means":[8,17,153],"for":[9],"the":[10,30,33,36,42,69,81,85,88,92,102,117,120,135,142,146,152,178,181],"clustering":[11,18,94],"multiple":[13,50,73],"means.":[14],"The":[15],"popular":[16],"uses":[19],"only":[20],"one":[21],"center":[22],"to":[23,40,67,162,176],"model":[24],"each":[25],"class":[26],"data.":[28],"However,":[29],"assumption":[31],"on":[32,166],"shape":[34],"clusters":[37,110],"prohibits":[38],"it":[39],"capture":[41],"non-convex":[43],"patterns.":[44],"Moreover,":[45],"many":[46],"categories":[47],"consist":[48],"subclasses":[51],"which":[52,83],"obviously":[53],"cannot":[54],"be":[55],"represented":[56],"by":[57,111],"a":[58,63,129],"single":[59],"prototype.":[60],"We":[61,139],"propose":[62],"K-Multiple-Means":[64],"(KMM)":[65],"method":[66,90,150],"group":[68],"data":[70,122,172],"points":[71],"with":[72,123,134,160],"sub-cluster":[74,106],"means":[75,107],"into":[76],"specified":[77],"k":[78,109],"clusters.":[79],"Unlike":[80],"methods":[82],"use":[84],"agglomerative":[86],"strategies,":[87],"proposed":[89,182],"formalizes":[91],"multiple-means":[93,124],"problem":[95,99,133],"as":[96,128],"optimization":[98,114],"and":[100,108,151,169],"updates":[101],"partitions":[103],"m":[105],"alternating":[113],"strategy.":[115],"Notably,":[116],"partition":[118],"original":[121],"representation":[125],"is":[126,157],"modeled":[127],"bipartite":[130],"graph":[131],"partitioning":[132],"constrained":[136],"Laplacian":[137],"rank.":[138],"also":[140],"show":[141,177],"theoretical":[143],"analysis":[144],"connection":[147],"between":[148],"our":[149],"clustering.":[154],"Meanwhile,":[155],"KMM":[156],"linear":[158],"scaled":[159],"respect":[161],"n.":[163],"Experimental":[164],"results":[165],"several":[167],"synthetic":[168],"well-known":[170],"real-world":[171],"sets":[173],"are":[174],"conducted":[175],"effectiveness":[179],"algorithm.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-06-27T00:00:00"}
