{"id":"https://openalex.org/W3158529107","doi":"https://doi.org/10.1109/tkde.2021.3076521","title":"Adaptive Spectral Rotation via Joint Cluster and Pairwise Structure","display_name":"Adaptive Spectral Rotation via Joint Cluster and Pairwise Structure","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3158529107","doi":"https://doi.org/10.1109/tkde.2021.3076521","mag":"3158529107"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2021.3076521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3076521","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-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/A5101994749","display_name":"Tong Wu","orcid":"https://orcid.org/0000-0001-8599-6078"},"institutions":[{"id":"https://openalex.org/I4210088176","display_name":"North West Agriculture and Forestry University","ror":null,"country_code":"CN","type":null,"lineage":["https://openalex.org/I4210088176"]},{"id":"https://openalex.org/I89652312","display_name":"Northwest A&F University","ror":"https://ror.org/0051rme32","country_code":"CN","type":"education","lineage":["https://openalex.org/I89652312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Wu","raw_affiliation_strings":["College of Sciences, Northwest A&F University, 12469 Yangling, Shaanxi, China, (e-mail: wutong@nwafu.edu.cn)","[College of Sciences, Northwest A&F University, 12469 Yangling, Shaanxi, China, (e-mail: wutong@nwafu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Sciences, Northwest A&F University, 12469 Yangling, Shaanxi, China, (e-mail: wutong@nwafu.edu.cn)","institution_ids":["https://openalex.org/I4210088176"]},{"raw_affiliation_string":"[College of Sciences, Northwest A&F University, 12469 Yangling, Shaanxi, China, (e-mail: wutong@nwafu.edu.cn)]","institution_ids":["https://openalex.org/I89652312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100421978","display_name":"Rui Zhang","orcid":"https://orcid.org/0000-0001-9418-0863"},"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":"Rui Zhang","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: ruizhang8633@gmail.com)","[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: ruizhang8633@gmail.com)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: ruizhang8633@gmail.com)","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: ruizhang8633@gmail.com)]","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028689634","display_name":"Ziheng Jiao","orcid":"https://orcid.org/0000-0002-8342-7311"},"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":"Ziheng Jiao","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: jzh9830@163.com)","[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: jzh9830@163.com)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: jzh9830@163.com)","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: jzh9830@163.com)]","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030210439","display_name":"Xian Wei","orcid":"https://orcid.org/0000-0002-9566-7814"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210119098","display_name":"Fujian Institute of Research on the Structure of Matter","ror":"https://ror.org/02j89k719","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian Wei","raw_affiliation_strings":["Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian, China, (e-mail: xianweich@hotmail.com)","[Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian, China, (e-mail: xianweich@hotmail.com)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian, China, (e-mail: xianweich@hotmail.com)","institution_ids":["https://openalex.org/I4210119098"]},{"raw_affiliation_string":"[Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, Fujian, China, (e-mail: xianweich@hotmail.com)]","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210119098"]}]},{"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, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)","[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)]","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5893,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67532915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9782000184059143,"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":0.9456999897956848,"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":0.7137458324432373},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.6847255229949951},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5863005518913269},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5860761404037476},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.47595664858818054},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4713560938835144},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4636496305465698},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42813628911972046},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.4190801978111267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38259392976760864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36163246631622314},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3273351788520813},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32153385877609253},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.24584171175956726}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7137458324432373},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.6847255229949951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5863005518913269},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5860761404037476},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.47595664858818054},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4713560938835144},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4636496305465698},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42813628911972046},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.4190801978111267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38259392976760864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36163246631622314},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3273351788520813},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32153385877609253},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.24584171175956726},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2021.3076521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3076521","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G420612141","display_name":null,"funder_award_id":"U1801262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4820425477","display_name":"\u57fa\u4e8e\u591a\u6a21\u578b\u8054\u5408\u5b66\u4e60\u7684\u89c6\u9891\u6458\u8981\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61871470","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7524108349","display_name":null,"funder_award_id":"61761130079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W18701524","https://openalex.org/W62192748","https://openalex.org/W191001584","https://openalex.org/W1931947167","https://openalex.org/W1943383135","https://openalex.org/W1967584880","https://openalex.org/W1979089718","https://openalex.org/W1987245793","https://openalex.org/W1990368529","https://openalex.org/W1992147426","https://openalex.org/W1993962865","https://openalex.org/W1994615541","https://openalex.org/W2005486932","https://openalex.org/W2034588763","https://openalex.org/W2040810017","https://openalex.org/W2076363162","https://openalex.org/W2088025572","https://openalex.org/W2095611100","https://openalex.org/W2096044434","https://openalex.org/W2100659887","https://openalex.org/W2107317146","https://openalex.org/W2112796928","https://openalex.org/W2115242586","https://openalex.org/W2121947440","https://openalex.org/W2123921160","https://openalex.org/W2124065296","https://openalex.org/W2125687218","https://openalex.org/W2128873747","https://openalex.org/W2132820034","https://openalex.org/W2134370969","https://openalex.org/W2134737843","https://openalex.org/W2136518509","https://openalex.org/W2142363274","https://openalex.org/W2147911985","https://openalex.org/W2159400887","https://openalex.org/W2169658215","https://openalex.org/W2319660501","https://openalex.org/W2574833973","https://openalex.org/W2574931690","https://openalex.org/W2588831500","https://openalex.org/W2604298190","https://openalex.org/W2618943960","https://openalex.org/W2751449619","https://openalex.org/W2901444528","https://openalex.org/W2987798608","https://openalex.org/W3013410770","https://openalex.org/W6635552349","https://openalex.org/W6640419445","https://openalex.org/W6679854563","https://openalex.org/W6731661740","https://openalex.org/W6731871752","https://openalex.org/W6743484365","https://openalex.org/W6770641979"],"related_works":["https://openalex.org/W2607797544","https://openalex.org/W2902850141","https://openalex.org/W2197112176","https://openalex.org/W2885900820","https://openalex.org/W1556852487","https://openalex.org/W2136935487","https://openalex.org/W1955548541","https://openalex.org/W2265158691","https://openalex.org/W2032317191","https://openalex.org/W2964122166"],"abstract_inverted_index":{"Density":[0],"structure":[1,4],"and":[2,21,65,73,147,171],"pairwise":[3,96,148],"serve":[5],"as":[6],"two":[7],"different":[8],"but":[9],"complementary":[10],"perspectives":[11],"for":[12,38,191],"clustering.":[13,39],"Either":[14],"side":[15,74,114],"of":[16],"road":[17],"is":[18,104,134,177],"frequently":[19],"visited":[20],"explored":[22],"by":[23,123],"multiple":[24],"clustering":[25,53,68,89,142],"methods.":[26],"However,":[27],"there":[28],"are":[29],"seldom":[30],"approaches,":[31],"which":[32,55],"could":[33,116],"mutually":[34],"exploit":[35,144],"both":[36,145,168],"structures":[37],"To":[40,91],"address":[41],"this":[42,45],"problem,":[43],"in":[44],"paper,":[46],"we":[47,81,180],"develop":[48,181],"a":[49,77,86,94,98],"novel":[50],"adaptive":[51,71,102,160],"joint":[52],"algorithm,":[54],"combines":[56],"unsupervised":[57,169],"discrete":[58,66,87,138],"orthogonal":[59],"least":[60],"squares":[61],"discriminant":[62],"analysis":[63],"(DOLSDA)":[64],"spectral":[67,189],"(DSC)":[69],"with":[70,101,136,152],"neighbors":[72,103],"information":[75,115],"into":[76],"unified":[78,175],"model.":[79],"Firstly,":[80],"extend":[82],"supervised":[83],"OLSDA":[84,140],"to":[85,107,119,143,166,185,195],"kernel":[88,139],"problem.":[90],"further":[92],"achieve":[93,186],"clear":[95],"structure,":[97],"new":[99],"similarity":[100],"then":[105],"derived":[106],"establish":[108],"sparse":[109],"Laplacian":[110],"matrix.":[111],"In":[112],"addition,":[113],"be":[117,163],"incorporated":[118],"formulate":[120],"clearer":[121],"graph":[122],"modifying":[124],"the":[125,130,137,153,174,187,192,196],"proposed":[126,154],"similarity.":[127],"Based":[128],"on":[129],"constructed":[131],"graph,":[132],"DSC":[133],"embedded":[135],"(DKOLSDA)":[141],"cluster":[146],"data":[149],"structures.":[150],"Equipped":[151],"framework":[155],"regarding":[156],"quadratic":[157],"weighted":[158],"optimization,":[159],"weight":[161],"can":[162],"obtained":[164],"automatically":[165],"leverage":[167],"DKOLSDA":[170],"DSC.":[172],"Since":[173],"problem":[176],"still":[178],"discrete,":[179],"an":[182],"increment":[183],"scheme":[184],"optimal":[188],"rotation":[190],"approximate":[193],"solution":[194],"predicted":[197],"indicator.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}