{"id":"https://openalex.org/W2135674549","doi":"https://doi.org/10.1109/iccv.2003.1238361","title":"Multiclass spectral clustering","display_name":"Multiclass spectral clustering","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2135674549","doi":"https://doi.org/10.1109/iccv.2003.1238361","mag":"2135674549"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2003.1238361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2003.1238361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings Ninth IEEE International Conference on Computer Vision","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/A5111382633","display_name":"Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yu","raw_affiliation_strings":["Robotics Institute and CNBC, Carnegie Mellon University, Pittsburgh, PA, USA"],"affiliations":[{"raw_affiliation_string":"Robotics Institute and CNBC, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":null,"display_name":"Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shi","raw_affiliation_strings":["Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111382633"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":22.8627,"has_fulltext":false,"cited_by_count":976,"citation_normalized_percentile":{"value":0.99804091,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"313","last_page":"319 vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9977999925613403,"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":0.9977999925613403,"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/discretization","display_name":"Discretization","score":0.7424112558364868},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.7029494047164917},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6828319430351257},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.640288233757019},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.5521942377090454},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5464086532592773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5297910571098328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46077555418014526},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.459299236536026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43759676814079285},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.4339599311351776},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34461510181427},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29483741521835327}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7424112558364868},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7029494047164917},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6828319430351257},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.640288233757019},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.5521942377090454},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5464086532592773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5297910571098328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46077555418014526},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.459299236536026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43759676814079285},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.4339599311351776},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34461510181427},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29483741521835327},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccv.2003.1238361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2003.1238361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings Ninth IEEE International Conference on Computer Vision","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.324.4538","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.4538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lear.inrialpes.fr/people/triggs/events/iccv03/cdrom/iccv03/0313_yu.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1966461475","https://openalex.org/W2035409768","https://openalex.org/W2109571218","https://openalex.org/W2121927366","https://openalex.org/W2121947440","https://openalex.org/W2140000690","https://openalex.org/W2141376824","https://openalex.org/W2153980837","https://openalex.org/W2155754954","https://openalex.org/W2165874743","https://openalex.org/W4254997627","https://openalex.org/W6677945368","https://openalex.org/W6684578312","https://openalex.org/W6836242169"],"related_works":["https://openalex.org/W3176564347","https://openalex.org/W3031039437","https://openalex.org/W3204184292","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W3101398262","https://openalex.org/W3113280893","https://openalex.org/W2953077623","https://openalex.org/W2823336313","https://openalex.org/W2892093392"],"abstract_inverted_index":{"We":[0,24,40],"propose":[1],"a":[2,10,17,31,49],"principled":[3],"account":[4],"on":[5,95],"multiclass":[6],"spectral":[7],"clustering.":[8],"Given":[9],"discrete":[11,50,75],"clustering":[12,92],"formulation,":[13],"we":[14],"first":[15],"solve":[16,42],"relaxed":[18],"continuous":[19,55],"optimization":[20],"problem":[21],"by":[22],"eigen-decomposition.":[23],"clarify":[25],"the":[26,54],"role":[27],"of":[28,33],"eigenvectors":[29],"as":[30],"generator":[32],"all":[34],"optimal":[35,44],"solutions":[36,76],"through":[37],"orthonormal":[38],"transforms.":[39],"then":[41],"an":[43,63],"discretization":[45,58],"problem,":[46],"which":[47],"seeks":[48],"solution":[51],"closest":[52],"to":[53,84],"optima.":[56],"The":[57,73],"is":[59,82],"efficiently":[60],"computed":[61],"in":[62],"iterative":[64],"fashion":[65],"using":[66],"singular":[67],"value":[68],"decomposition":[69],"and":[70,87],"nonmaximum":[71],"suppression.":[72],"resulting":[74],"are":[77,99],"nearly":[78],"global-optimal.":[79],"Our":[80],"method":[81],"robust":[83],"random":[85],"initialization":[86],"converges":[88],"faster":[89],"than":[90],"other":[91],"methods.":[93],"Experiments":[94],"real":[96],"image":[97],"segmentation":[98],"reported.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":31},{"year":2021,"cited_by_count":62},{"year":2020,"cited_by_count":60},{"year":2019,"cited_by_count":55},{"year":2018,"cited_by_count":59},{"year":2017,"cited_by_count":61},{"year":2016,"cited_by_count":47},{"year":2015,"cited_by_count":41},{"year":2014,"cited_by_count":60},{"year":2013,"cited_by_count":52},{"year":2012,"cited_by_count":58}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
