{"id":"https://openalex.org/W2903234224","doi":"https://doi.org/10.1109/icpr.2018.8545862","title":"Structured Convex Optimization Method for Orthogonal Nonnegative Matrix Factorization","display_name":"Structured Convex Optimization Method for Orthogonal Nonnegative Matrix Factorization","publication_year":2018,"publication_date":"2018-08-01","ids":{"openalex":"https://openalex.org/W2903234224","doi":"https://doi.org/10.1109/icpr.2018.8545862","mag":"2903234224"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2018.8545862","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2018.8545862","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 24th International Conference on Pattern Recognition (ICPR)","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/A5010567079","display_name":"Junjun Pan","orcid":"https://orcid.org/0000-0003-2738-4086"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Junjun Pan","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University Kowloon Tong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010561682","display_name":"Michael K. Ng","orcid":"https://orcid.org/0000-0001-6833-5227"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Michael K. Ng","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University Kowloon Tong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072740546","display_name":"Xiongjun Zhang","orcid":"https://orcid.org/0000-0002-5387-4129"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiongjun Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Central China Normal University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010567079"],"corresponding_institution_ids":["https://openalex.org/I141568987"],"apc_list":null,"apc_paid":null,"fwci":0.2057,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60460519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"209","issue":null,"first_page":"459","last_page":"464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9987000226974487,"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":0.9987000226974487,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.994700014591217,"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":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.814132034778595},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5686214566230774},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5461214780807495},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.5154469609260559},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5006251335144043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44705361127853394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4424600601196289},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4273694157600403},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4240700304508209},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.40225979685783386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3994986414909363},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38493022322654724},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3581690788269043},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.32097530364990234}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.814132034778595},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5686214566230774},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5461214780807495},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.5154469609260559},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5006251335144043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44705361127853394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4424600601196289},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4273694157600403},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4240700304508209},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.40225979685783386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3994986414909363},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38493022322654724},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3581690788269043},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.32097530364990234},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr.2018.8545862","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2018.8545862","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 24th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W13035363","https://openalex.org/W206759535","https://openalex.org/W331312376","https://openalex.org/W1246381107","https://openalex.org/W1489499640","https://openalex.org/W1527369603","https://openalex.org/W1814100322","https://openalex.org/W1825307613","https://openalex.org/W1902027874","https://openalex.org/W1969182276","https://openalex.org/W1970039276","https://openalex.org/W1970625287","https://openalex.org/W2004596681","https://openalex.org/W2009576740","https://openalex.org/W2013029404","https://openalex.org/W2015492922","https://openalex.org/W2043545458","https://openalex.org/W2045079045","https://openalex.org/W2059745395","https://openalex.org/W2100493539","https://openalex.org/W2101139104","https://openalex.org/W2104481149","https://openalex.org/W2104819583","https://openalex.org/W2108119513","https://openalex.org/W2113359929","https://openalex.org/W2122823937","https://openalex.org/W2124890708","https://openalex.org/W2127218421","https://openalex.org/W2132914434","https://openalex.org/W2135029798","https://openalex.org/W2140318696","https://openalex.org/W2165685007","https://openalex.org/W2168084958","https://openalex.org/W2315452447","https://openalex.org/W2749035964","https://openalex.org/W2963833528","https://openalex.org/W3143596294","https://openalex.org/W4232159537","https://openalex.org/W4255469293","https://openalex.org/W6629369404","https://openalex.org/W6653781006","https://openalex.org/W6678632981","https://openalex.org/W6678914141","https://openalex.org/W6680012447","https://openalex.org/W6680770193"],"related_works":["https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2108919995","https://openalex.org/W2022978200","https://openalex.org/W3099441337","https://openalex.org/W2731733684","https://openalex.org/W2083358384","https://openalex.org/W2768089427","https://openalex.org/W1989034480"],"abstract_inverted_index":{"Orthogonal":[0],"nonnegative":[1,25,35],"matrix":[2,26],"factorization":[3,27],"plays":[4],"an":[5],"important":[6],"role":[7],"for":[8,23],"data":[9],"clustering":[10,90],"and":[11,62],"machine":[12],"learning.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17],"propose":[18],"a":[19,44],"new":[20,38],"optimization":[21],"model":[22,39],"orthogonal":[24,34],"based":[28],"on":[29],"the":[30,69,72,83],"structural":[31],"properties":[32],"of":[33,71,77,89],"matrix.":[36],"The":[37,75],"can":[40,50],"be":[41,51],"solved":[42],"by":[43],"novel":[45],"convex":[46],"relaxation":[47],"technique":[48],"which":[49],"employed":[52],"quite":[53],"efficiently.":[54],"Numerical":[55],"examples":[56],"in":[57,87],"document":[58],"clustering,":[59],"image":[60],"segmentation":[61],"hyperspectral":[63],"unmixing":[64],"are":[65],"used":[66],"to":[67],"test":[68],"performance":[70,76],"proposed":[73],"model.":[74],"our":[78],"method":[79],"is":[80],"better":[81],"than":[82],"other":[84],"testing":[85],"methods":[86],"terms":[88],"accuracy.":[91]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}