{"id":"https://openalex.org/W2802052684","doi":"https://doi.org/10.1155/2018/6270816","title":"Parallel Nonnegative Matrix Factorization with Manifold Regularization","display_name":"Parallel Nonnegative Matrix Factorization with Manifold Regularization","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2802052684","doi":"https://doi.org/10.1155/2018/6270816","mag":"2802052684"},"language":"en","primary_location":{"id":"doi:10.1155/2018/6270816","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6270816","pdf_url":"http://downloads.hindawi.com/journals/jece/2018/6270816.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/jece/2018/6270816.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039627101","display_name":"Fudong Liu","orcid":"https://orcid.org/0000-0002-8387-0831"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fudong Liu","raw_affiliation_strings":["State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China"],"raw_orcid":"https://orcid.org/0000-0002-8387-0831","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089050704","display_name":"Zheng Shan","orcid":"https://orcid.org/0000-0001-8390-2816"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zheng Shan","raw_affiliation_strings":["State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101746971","display_name":"Yihang Chen","orcid":"https://orcid.org/0000-0003-1127-1570"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yihang Chen","raw_affiliation_strings":["State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, Henan 450001, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5039627101"],"corresponding_institution_ids":[],"apc_list":{"value":925,"currency":"USD","value_usd":925},"apc_paid":{"value":925,"currency":"USD","value_usd":925},"fwci":0.2424,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55409578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2018","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9979000091552734,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9979000091552734,"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":0.9961000084877014,"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":0.9922999739646912,"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":0.8375787734985352},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.6541038751602173},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6502557992935181},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6277129650115967},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5549578666687012},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5423529744148254},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5017695426940918},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4797290861606598},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4245552718639374},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42386460304260254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4181174337863922},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.38539746403694153},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36254459619522095},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2196485698223114},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09437757730484009}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.8375787734985352},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.6541038751602173},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6502557992935181},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6277129650115967},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5549578666687012},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5423529744148254},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5017695426940918},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4797290861606598},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4245552718639374},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42386460304260254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4181174337863922},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.38539746403694153},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36254459619522095},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2196485698223114},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09437757730484009},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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:10.1155/2018/6270816","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6270816","pdf_url":"http://downloads.hindawi.com/journals/jece/2018/6270816.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:54078fa491684ed4a00aca63bc369aba","is_oa":true,"landing_page_url":"https://doaj.org/article/54078fa491684ed4a00aca63bc369aba","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Electrical and Computer Engineering, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/6270816","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6270816","pdf_url":"http://downloads.hindawi.com/journals/jece/2018/6270816.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2802052684.pdf","grobid_xml":"https://content.openalex.org/works/W2802052684.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1902027874","https://openalex.org/W1969900471","https://openalex.org/W2061631122","https://openalex.org/W2063069198","https://openalex.org/W2101837437","https://openalex.org/W2104290444","https://openalex.org/W2108119513","https://openalex.org/W2113359929","https://openalex.org/W2113728360","https://openalex.org/W2124821796","https://openalex.org/W2315964689","https://openalex.org/W2435477720"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W4213150077","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031"],"abstract_inverted_index":{"Nonnegative":[0],"matrix":[1,8,134],"factorization":[2],"(NMF)":[3],"decomposes":[4],"a":[5,51,95,140],"high-dimensional":[6],"nonnegative":[7,16],"into":[9],"the":[10,34,61,66,91,114,126,132,153,181,191,199],"product":[11],"of":[12,37,89,116,176,194],"two":[13],"reduced":[14],"dimensional":[15],"matrices.":[17],"However,":[18],"conventional":[19,177,195],"NMF":[20,53,69,178,196],"neither":[21],"qualifies":[22],"large-scale":[23,120],"datasets":[24,121,165],"as":[25],"it":[26,188],"maintains":[27],"all":[28],"data":[29,38,79],"in":[30,42,94,135],"memory":[31,117],"nor":[32],"preserves":[33],"geometrical":[35],"structure":[36],"which":[39,146],"is":[40,147],"needed":[41],"some":[43],"practical":[44],"tasks.":[45],"In":[46,74,107],"this":[47,108],"paper,":[48],"we":[49,138],"propose":[50,139],"parallel":[52],"with":[54],"manifold":[55,67,136,201],"regularization":[56],"method":[57],"(PNMF-M)":[58],"to":[59,84,112,123,149,152,180,198],"overcome":[60],"aforementioned":[62],"deficiencies":[63],"by":[64,128],"parallelizing":[65],"regularized":[68],"on":[70,104,159,183],"distributed":[71,142,184],"computing":[72,86,185],"system.":[73],"particular,":[75],"PNMF-M":[76,110,168],"distributes":[77],"both":[78,100,171],"samples":[80],"and":[81,98,122,163,173],"factor":[82,101],"matrices":[83,102],"multiple":[85],"nodes":[87],"instead":[88],"loading":[90],"whole":[92],"dataset":[93],"single":[96],"node":[97],"updates":[99],"locally":[103],"each":[105],"node.":[106],"way,":[109],"succeeds":[111],"resolve":[113],"pressure":[115],"consumption":[118],"for":[119],"speed":[124],"up":[125],"computation":[127],"parallelization.":[129],"For":[130],"constructing":[131],"adjacency":[133],"regularization,":[137],"two-step":[141],"graph":[143],"construction":[144,155],"method,":[145],"proved":[148],"be":[150],"equivalent":[151],"batch":[154],"method.":[156],"Experimental":[157],"results":[158],"popular":[160],"text":[161],"corpora":[162],"image":[164],"demonstrate":[166],"that":[167],"significantly":[169,189],"improves":[170],"scalability":[172],"time":[174],"efficiency":[175],"thanks":[179,197],"parallelization":[182],"system;":[186],"meanwhile":[187],"enhances":[190],"representation":[192],"ability":[193],"incorporated":[200],"regularization.":[202]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}