{"id":"https://openalex.org/W2917532348","doi":"https://doi.org/10.1109/jas.2019.1911417","title":"Graph regularized Lp smooth non-negative matrix factorization for data representation","display_name":"Graph regularized Lp smooth non-negative matrix factorization for data representation","publication_year":2019,"publication_date":"2019-02-25","ids":{"openalex":"https://openalex.org/W2917532348","doi":"https://doi.org/10.1109/jas.2019.1911417","mag":"2917532348"},"language":"en","primary_location":{"id":"doi:10.1109/jas.2019.1911417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2019.1911417","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-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/A5004032587","display_name":"Chengcai Leng","orcid":"https://orcid.org/0000-0003-4535-5430"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]},{"id":"https://openalex.org/I927504317","display_name":"Nanchang Hangkong University","ror":"https://ror.org/0369pvp92","country_code":"CN","type":"education","lineage":["https://openalex.org/I927504317"]}],"countries":["CA","CN"],"is_corresponding":false,"raw_author_name":"Chengcai Leng","raw_affiliation_strings":["School of Mathematics, Northwest University, Xi &#x02BC an 710127, School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, China, and the Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi &#x02BC an 710127, School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, China, and the Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada","institution_ids":["https://openalex.org/I154425047","https://openalex.org/I37802460","https://openalex.org/I927504317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101790402","display_name":"Hai Zhang","orcid":"https://orcid.org/0000-0002-1104-8283"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Hai Zhang","raw_affiliation_strings":["School of Mathematics, Northwest University, Xi &#x02BC an 710127, and the Faculty of Information Technology &#x0026 State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi &#x02BC an 710127, and the Faculty of Information Technology &#x0026 State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717","https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100620003","display_name":"Guorong Cai","orcid":"https://orcid.org/0000-0001-8091-271X"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guorong Cai","raw_affiliation_strings":["College of Computer Engineering, Jimei University, Xiamen 361021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Engineering, Jimei University, Xiamen 361021, China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058927498","display_name":"Irene Cheng","orcid":"https://orcid.org/0000-0001-9699-4895"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Irene Cheng","raw_affiliation_strings":["Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054810403","display_name":"Anup Basu","orcid":"https://orcid.org/0000-0002-7695-4148"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anup Basu","raw_affiliation_strings":["Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science, University of Alberta, Edmonton, AB T6G 2E8, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4571,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.96580303,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"6","issue":"2","first_page":"584","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9986000061035156,"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":0.9986000061035156,"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":0.989799976348877,"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":0.9891999959945679,"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/smoothing","display_name":"Smoothing","score":0.5836784839630127},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.5082170963287354},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.46075281500816345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4339931905269623},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4277634024620056},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3750423491001129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3591002821922302},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35847675800323486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3451277017593384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30727824568748474},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.30042460560798645},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.23105531930923462},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.158336341381073}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5836784839630127},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.5082170963287354},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.46075281500816345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4339931905269623},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4277634024620056},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3750423491001129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3591002821922302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35847675800323486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3451277017593384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30727824568748474},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30042460560798645},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.23105531930923462},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.158336341381073},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jas.2019.1911417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2019.1911417","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1770943136","https://openalex.org/W1902027874","https://openalex.org/W1918561677","https://openalex.org/W1968970305","https://openalex.org/W1986451263","https://openalex.org/W1999388400","https://openalex.org/W2001141328","https://openalex.org/W2013029404","https://openalex.org/W2028302281","https://openalex.org/W2053186076","https://openalex.org/W2056398894","https://openalex.org/W2063069198","https://openalex.org/W2104819583","https://openalex.org/W2108119513","https://openalex.org/W2119523409","https://openalex.org/W2135029798","https://openalex.org/W2144359569","https://openalex.org/W2154747411","https://openalex.org/W2156718197","https://openalex.org/W2320933085","https://openalex.org/W2337334204","https://openalex.org/W2339408475","https://openalex.org/W2591248827","https://openalex.org/W2594857575","https://openalex.org/W2604977491","https://openalex.org/W2606637053","https://openalex.org/W2735496307","https://openalex.org/W2749828357","https://openalex.org/W2759530082","https://openalex.org/W2785648173","https://openalex.org/W2883367876","https://openalex.org/W2904594658","https://openalex.org/W2911840696","https://openalex.org/W2963794516"],"related_works":["https://openalex.org/W4297433825","https://openalex.org/W4318261659","https://openalex.org/W2122823937","https://openalex.org/W2101428145","https://openalex.org/W1978572805","https://openalex.org/W3215340255","https://openalex.org/W2048687561","https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W4226363941"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,34,70,107],"Graph":[4],"regularized":[5],"L":[6,21,75],"<sub":[7,22,76,92,99],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,23,77,93,100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[9,24,78],"smooth":[10,39,108],"non-negative":[11],"matrix":[12],"factorization":[13],"(GSNMF)":[14],"method":[15,138],"by":[16],"incorporating":[17],"graph":[18,50],"regularization":[19,51],"and":[20,37,40,61,96,105,109,121],"smoothing":[25,79],"constraint,":[26],"which":[27],"considers":[28],"the":[29,58,64,74,87,114,118,136],"intrinsic":[30,65],"geometric":[31,66],"information":[32,68],"of":[33,69,89,123,125],"data":[35,71,132],"set":[36],"produces":[38,106],"stable":[41],"solutions.":[42],"The":[43],"main":[44],"contributions":[45],"are":[46,127],"as":[47],"follows:":[48],"first,":[49],"is":[52,81],"added":[53],"into":[54,83],"NMF":[55,84],"to":[56,85,113],"discover":[57],"hidden":[59],"semantics":[60],"simultaneously":[62],"respect":[63],"structure":[67],"set.":[72],"Second,":[73],"constraint":[80],"incorporated":[82],"combine":[86],"merits":[88],"isotropic":[90],"(L":[91,98],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[94],"-norm)":[95,102],"anisotropic":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[101],"diffusion":[103],"smoothing,":[104],"more":[110],"accurate":[111],"solution":[112],"optimization":[115],"problem.":[116],"Finally,":[117],"update":[119],"rules":[120],"proof":[122],"convergence":[124],"GSNMF":[126],"given.":[128],"Experiments":[129],"on":[130],"several":[131],"sets":[133],"show":[134],"that":[135],"proposed":[137],"outperforms":[139],"related":[140],"state-of-the-art":[141],"methods.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
