{"id":"https://openalex.org/W2152161878","doi":"https://doi.org/10.1109/tnn.2010.2064177","title":"Incorporating the Loss Function Into Discriminative Clustering of Structured Outputs","display_name":"Incorporating the Loss Function Into Discriminative Clustering of Structured Outputs","publication_year":2010,"publication_date":"2010-08-24","ids":{"openalex":"https://openalex.org/W2152161878","doi":"https://doi.org/10.1109/tnn.2010.2064177","mag":"2152161878","pmid":"https://pubmed.ncbi.nlm.nih.gov/20736137"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2010.2064177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2064177","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5002597419","display_name":"Wenliang Zhong","orcid":"https://orcid.org/0009-0006-8861-9503"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Wenliang Zhong","raw_affiliation_strings":["Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China. wzhong@cse.ust.hk"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China. wzhong@cse.ust.hk","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073490832","display_name":"Weike Pan","orcid":"https://orcid.org/0000-0001-6326-9531"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Weike Pan","raw_affiliation_strings":["Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070273088","display_name":"James T. Kwok","orcid":"https://orcid.org/0000-0002-4828-8248"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James T. Kwok","raw_affiliation_strings":["Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021751767","display_name":"Ivor W. Tsang","orcid":"https://orcid.org/0000-0001-8095-4637"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ivor W. Tsang","raw_affiliation_strings":["School of Computer Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Computer Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002597419"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.9327,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82116687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"10","first_page":"1564","last_page":"1575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9959999918937683,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9855999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8370623588562012},{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.5410197973251343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5380667448043823},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.5143207311630249},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.5112290382385254},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5017561912536621},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4934314787387848},{"id":"https://openalex.org/keywords/constrained-clustering","display_name":"Constrained clustering","score":0.4808538556098938},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45880404114723206},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.45822015404701233},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4285222887992859},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42643988132476807},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3940199315547943},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.38672342896461487},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3609922230243683},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12749764323234558},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07460230588912964}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8370623588562012},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.5410197973251343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5380667448043823},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.5143207311630249},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.5112290382385254},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5017561912536621},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4934314787387848},{"id":"https://openalex.org/C27964816","wikidata":"https://www.wikidata.org/wiki/Q5164359","display_name":"Constrained clustering","level":5,"score":0.4808538556098938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45880404114723206},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.45822015404701233},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4285222887992859},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42643988132476807},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3940199315547943},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.38672342896461487},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3609922230243683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12749764323234558},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07460230588912964}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005149","descriptor_name":"Facial Expression","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005149","descriptor_name":"Facial Expression","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005149","descriptor_name":"Facial Expression","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000145","qualifier_name":"classification","is_major_topic":false},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000145","qualifier_name":"classification","is_major_topic":false},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000145","qualifier_name":"classification","is_major_topic":false},{"descriptor_ui":"D016000","descriptor_name":"Cluster Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016000","descriptor_name":"Cluster Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016000","descriptor_name":"Cluster Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1109/tnn.2010.2064177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2064177","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Neural Networks","raw_type":"journal-article"},{"id":"pmid:20736137","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20736137","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks","raw_type":null},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/28133","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/28133","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-39848","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-39848","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W158976495","https://openalex.org/W198244778","https://openalex.org/W1576213419","https://openalex.org/W1579271636","https://openalex.org/W1596717185","https://openalex.org/W1638081485","https://openalex.org/W1755117326","https://openalex.org/W1943383135","https://openalex.org/W1971784203","https://openalex.org/W2014566476","https://openalex.org/W2016381774","https://openalex.org/W2085277871","https://openalex.org/W2097826433","https://openalex.org/W2105842272","https://openalex.org/W2108282816","https://openalex.org/W2125687218","https://openalex.org/W2126599826","https://openalex.org/W2127218421","https://openalex.org/W2131479089","https://openalex.org/W2132820034","https://openalex.org/W2135029798","https://openalex.org/W2135140174","https://openalex.org/W2139710299","https://openalex.org/W2139850885","https://openalex.org/W2149982386","https://openalex.org/W2157801062","https://openalex.org/W2163311713","https://openalex.org/W2165874743","https://openalex.org/W2168772685","https://openalex.org/W2168993425","https://openalex.org/W2319660501","https://openalex.org/W2488678869","https://openalex.org/W2595697910","https://openalex.org/W2990138404","https://openalex.org/W2999905431","https://openalex.org/W3143596294","https://openalex.org/W4205687621","https://openalex.org/W6606470850","https://openalex.org/W6608051910","https://openalex.org/W6637962894","https://openalex.org/W6675783020","https://openalex.org/W6678914141","https://openalex.org/W6680273311","https://openalex.org/W6682834636"],"related_works":["https://openalex.org/W3124860551","https://openalex.org/W3186815950","https://openalex.org/W2040929534","https://openalex.org/W2564198485","https://openalex.org/W3036598453","https://openalex.org/W2202413591","https://openalex.org/W2311450085","https://openalex.org/W3107909692","https://openalex.org/W2309230723","https://openalex.org/W1979089718"],"abstract_inverted_index":{"Clustering":[0],"using":[1,80,96],"the":[2,15,25,39,47,52,55,81,104,114],"Hilbert":[3,26],"Schmidt":[4,27],"independence":[5,28],"criterion":[6,29],"(CLUHSIC)":[7],"is":[8,32,58,78,124],"a":[9,127,133],"recent":[10],"clustering":[11,48,153],"algorithm":[12],"that":[13,35,76,120,141],"maximizes":[14],"dependence":[16],"between":[17],"cluster":[18,40],"labels":[19],"and":[20,98,107,152],"data":[21],"observations":[22],"according":[23],"to":[24,60],"(HSIC).":[30],"It":[31],"unique":[33],"in":[34,46,64,73,126,146],"structure":[36],"information":[37],"on":[38,132],"outputs":[41,139],"can":[42],"be":[43,61],"easily":[44],"utilized":[45],"process.":[49],"However,":[50],"while":[51],"choice":[53],"of":[54,135,148],"loss":[56,108,151],"function":[57],"known":[59],"very":[62],"important":[63],"supervised":[65],"learning":[66],"with":[67,137],"structured":[68,138,150],"outputs,":[69],"we":[70],"will":[71],"show":[72,140],"this":[74],"paper":[75],"CLUHSIC":[77,145],"implicitly":[79],"often":[82,143],"inappropriate":[83],"zero-one":[84],"loss.":[85],"We":[86],"propose":[87],"an":[88],"extension":[89],"called":[90],"CLUHSICAL":[91,142],"(which":[92],"stands":[93],"for":[94],"\"Clustering":[95],"HSIC":[97],"loss\")":[99],"which":[100],"explicitly":[101],"considers":[102],"both":[103,149],"output":[105],"dependency":[106],"function.":[109],"Its":[110],"optimization":[111],"problem":[112],"has":[113],"same":[115],"form":[116],"as":[117],"CLUHSIC,":[118],"except":[119],"its":[121],"partition":[122],"matrix":[123],"constructed":[125],"different":[128],"manner.":[129],"Experimental":[130],"results":[131],"number":[134],"datasets":[136],"outperforms":[144],"terms":[147],"accuracy.":[154]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}