{"id":"https://openalex.org/W1996819635","doi":"https://doi.org/10.1109/cvpr.2011.5995447","title":"A scalable dual approach to semidefinite metric learning","display_name":"A scalable dual approach to semidefinite metric learning","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W1996819635","doi":"https://doi.org/10.1109/cvpr.2011.5995447","mag":"1996819635"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2011.5995447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","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/A5110194458","display_name":"Chunhua Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Chunhua Shen","raw_affiliation_strings":["NICTA, Australia","University of Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"NICTA, Australia","institution_ids":["https://openalex.org/I42894916"]},{"raw_affiliation_string":"University of Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058299934","display_name":"Junae Kim","orcid":"https://orcid.org/0000-0003-2288-8699"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Junae Kim","raw_affiliation_strings":["Australian National University, Australia","NICTA, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"NICTA, Australia","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100435848","display_name":"Lei Wang","orcid":"https://orcid.org/0000-0002-0961-0441"},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lei Wang","raw_affiliation_strings":["Australian National University, Australia","University of Wollongong, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"University of Wollongong, Australia","institution_ids":["https://openalex.org/I204824540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110194458"],"corresponding_institution_ids":["https://openalex.org/I42894916","https://openalex.org/I5681781"],"apc_list":null,"apc_paid":null,"fwci":2.8751,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.92243156,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":null,"first_page":"2601","last_page":"2608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.955299973487854,"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"}},"topics":[{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.955299973487854,"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/T10057","display_name":"Face and Expression Recognition","score":0.9546999931335449,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9266999959945679,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7252782583236694},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.6777206659317017},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6326379776000977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5459186434745789},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.539806604385376},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5265921950340271},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4969823658466339},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4260137677192688},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3793862462043762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3661934435367584},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3494659662246704},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3372947573661804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3280171751976013},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.258372038602829}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7252782583236694},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.6777206659317017},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6326379776000977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5459186434745789},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.539806604385376},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5265921950340271},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4969823658466339},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4260137677192688},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3793862462043762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3661934435367584},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3494659662246704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3372947573661804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3280171751976013},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.258372038602829},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cvpr.2011.5995447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","raw_type":"proceedings-article"},{"id":"pmh:oai:ro.uow.edu.au:infopapers-11147","is_oa":false,"landing_page_url":"https://ro.uow.edu.au/infopapers/3811","pdf_url":null,"source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Informatics - Papers (Archive)","raw_type":"presentation"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/70690","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/70690","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1109/cvpr.2011.5995447","raw_type":"Conference paper"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/63686","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/63686","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graph connectivity in sparse subspace clustering","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W182881619","https://openalex.org/W1509928947","https://openalex.org/W1544007523","https://openalex.org/W1620759536","https://openalex.org/W1782590233","https://openalex.org/W1982048725","https://openalex.org/W1999613943","https://openalex.org/W2001519147","https://openalex.org/W2051434435","https://openalex.org/W2098693229","https://openalex.org/W2105310066","https://openalex.org/W2106053110","https://openalex.org/W2109824782","https://openalex.org/W2117154949","https://openalex.org/W2127691749","https://openalex.org/W2151103935","https://openalex.org/W2165052637","https://openalex.org/W2169495281","https://openalex.org/W2296319761","https://openalex.org/W2536626143","https://openalex.org/W2652751060","https://openalex.org/W3013880646","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4302155765","https://openalex.org/W6630306207","https://openalex.org/W6632558652","https://openalex.org/W6636582384","https://openalex.org/W6675751002","https://openalex.org/W6677328822","https://openalex.org/W6739509182","https://openalex.org/W6992491970"],"related_works":["https://openalex.org/W4382795578","https://openalex.org/W2355463328","https://openalex.org/W2402648945","https://openalex.org/W1431147547","https://openalex.org/W2771741613","https://openalex.org/W2055761197","https://openalex.org/W2053213469","https://openalex.org/W2057608111","https://openalex.org/W2793032185","https://openalex.org/W939486154"],"abstract_inverted_index":{"Distance":[0],"metric":[1,16,84,100,122],"learning":[2,17,85,101,123],"plays":[3],"an":[4],"important":[5],"role":[6],"in":[7,150],"many":[8],"vision":[9],"problems.":[10,88,124],"Previous":[11],"work":[12],"of":[13,35,45,62,83,133],"quadratic":[14],"Mahalanobis":[15,121],"usually":[18],"needs":[19],"to":[20,54,70,86,98,113,160,183,186],"solve":[21,51,118],"a":[22,33,55,71,94,105,130],"semidefinite":[23],"programming":[24],"(SDP)":[25],"problem.":[26,102],"A":[27],"standard":[28],"interior-point":[29],"SDP":[30,188],"solver":[31],"has":[32,129],"complexity":[34,79,132],"O(D":[36],"<sup":[37,137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[38,138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">6.5</sup>":[39],")":[40,140],"(with":[41],"D":[42,74,136],"the":[43,60,81,126],"dimension":[44],"input":[46],"data),":[47],"and":[48,115,158],"can":[49,117],"only":[50],"problems":[52,149,189],"up":[53],"few":[56],"thousand":[57],"variables.":[58],"Since":[59],"number":[61],"variables":[63],"is":[64,110,156],"D(D":[65],"+":[66],"l)/2,":[67],"this":[68,90,99,177],"corresponds":[69],"limit":[72],"around":[73],"<;":[75],"100.":[76],"This":[77],"high":[78],"hampers":[80],"application":[82],"high-dimensional":[87],"In":[89],"work,":[91],"we":[92,116],"propose":[93],"very":[95],"efficient":[96],"approach":[97,108,128],"We":[103,173],"formulate":[104],"Lagrange":[106],"dual":[107],"which":[109],"much":[111,119],"simpler":[112],"optimize,":[114],"larger":[120],"Roughly,":[125],"proposed":[127,154],"time":[131],"O(t":[134],"\u00b7":[135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[139],"with":[141,171],"t":[142],"\u2248":[143],"20":[144],"~":[145],"30":[146],"for":[147],"most":[148],"our":[151],"experiments.":[152],"The":[153],"algorithm":[155],"scalable":[157],"easy":[159],"implement.":[161],"Experiments":[162],"on":[163],"various":[164],"datasets":[165],"show":[166],"its":[167],"similar":[168],"accuracy":[169],"compared":[170],"state-of-the-art.":[172],"also":[174,180],"demonstrate":[175],"that":[176],"idea":[178],"may":[179],"be":[181,184],"able":[182],"applied":[185],"other":[187],"such":[190],"as":[191],"maximum":[192],"variance":[193],"unfolding.":[194]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}