{"id":"https://openalex.org/W1991077873","doi":"https://doi.org/10.1109/fskd.2013.6816240","title":"Convex-Nonnegative Matrix Factorization with structure constraints","display_name":"Convex-Nonnegative Matrix Factorization with structure constraints","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1991077873","doi":"https://doi.org/10.1109/fskd.2013.6816240","mag":"1991077873"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2013.6816240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2013.6816240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","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/A5101800578","display_name":"Xiaobing Pei","orcid":"https://orcid.org/0000-0002-2978-0659"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaobing Pei","raw_affiliation_strings":["School of Software, HuaZhong University of Science & Technology, Wuhan, Hubei, China","School of Software, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Software, HuaZhong University of Science & Technology, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Software, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047367781","display_name":"Tao Wu","orcid":"https://orcid.org/0000-0002-6912-0700"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Wu","raw_affiliation_strings":["School of Software, HuaZhong University of Science & Technology, Wuhan, Hubei, China","School of Software, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Software, HuaZhong University of Science & Technology, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Software, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101800578"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0680012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":null,"first_page":"456","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9962999820709229,"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/T10057","display_name":"Face and Expression Recognition","score":0.9962999820709229,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9939000010490417,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.991100013256073,"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":0.9165655374526978},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.7606552839279175},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5883293151855469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5285388827323914},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.496451199054718},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4948553442955017},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4828910827636719},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.45355871319770813},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4449729025363922},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.4420674443244934},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4337727427482605},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4263589382171631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.405773401260376},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33948302268981934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3031567335128784},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0772167444229126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0588286817073822}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.9165655374526978},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.7606552839279175},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5883293151855469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5285388827323914},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.496451199054718},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4948553442955017},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4828910827636719},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.45355871319770813},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4449729025363922},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.4420674443244934},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4337727427482605},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4263589382171631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.405773401260376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33948302268981934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3031567335128784},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0772167444229126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0588286817073822},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2013.6816240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2013.6816240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W65725463","https://openalex.org/W174426676","https://openalex.org/W1902027874","https://openalex.org/W2013029404","https://openalex.org/W2110096996","https://openalex.org/W2113359929","https://openalex.org/W2116216716","https://openalex.org/W2123983387","https://openalex.org/W2126918862","https://openalex.org/W2135029798","https://openalex.org/W2136171036","https://openalex.org/W2142621404","https://openalex.org/W2145725490","https://openalex.org/W2146739705","https://openalex.org/W2156718197","https://openalex.org/W2165685007","https://openalex.org/W2168103112","https://openalex.org/W2533517198","https://openalex.org/W6602721557","https://openalex.org/W6607075649","https://openalex.org/W6678810943","https://openalex.org/W6680012447","https://openalex.org/W6682755970"],"related_works":["https://openalex.org/W2319013588","https://openalex.org/W2552456585","https://openalex.org/W3099308370","https://openalex.org/W2927183251","https://openalex.org/W2039147379","https://openalex.org/W2047757139","https://openalex.org/W2390742890","https://openalex.org/W2165902271","https://openalex.org/W2130968163","https://openalex.org/W2952822330"],"abstract_inverted_index":{"Nonnegative":[0],"Matrix":[1,29],"Factorization":[2,30],"(NMF)":[3],"is":[4,23,36],"of":[5,12,34],"great":[6],"use":[7],"in":[8],"finding":[9],"basis":[10],"information":[11],"non-negative":[13],"data.":[14],"In":[15],"this":[16],"paper,":[17],"a":[18],"novel":[19],"Convex-NMF":[20,41,49],"(CNMF)":[21],"method":[22],"presented,":[24],"called":[25],"Structure":[26],"Constrained":[27],"Convex-Nonnegative":[28],"(SCNMF).":[31],"The":[32,51],"idea":[33],"SCNMF":[35,52],"to":[37,54],"extend":[38],"the":[39,44,48,56,61],"original":[40],"by":[42],"incorporating":[43],"structure":[45],"constraints":[46],"into":[47],"decomposition.":[50],"seeks":[53],"extract":[55],"representation":[57],"space":[58],"that":[59],"preserves":[60],"geometry":[62],"structure.":[63],"Finally,":[64],"our":[65],"experiment":[66],"results":[67],"are":[68],"presented.":[69]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}