{"id":"https://openalex.org/W2587163614","doi":"https://doi.org/10.1007/s41019-017-0032-6","title":"Local Weighted Matrix Factorization for Top-n Recommendation with Implicit Feedback","display_name":"Local Weighted Matrix Factorization for Top-n Recommendation with Implicit Feedback","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2587163614","doi":"https://doi.org/10.1007/s41019-017-0032-6","mag":"2587163614"},"language":"en","primary_location":{"id":"doi:10.1007/s41019-017-0032-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41019-017-0032-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs41019-017-0032-6.pdf","source":{"id":"https://openalex.org/S2486411021","display_name":"Data Science and Engineering","issn_l":"2364-1185","issn":["2364-1185","2364-1541"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Data Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs41019-017-0032-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022946499","display_name":"Keqiang Wang","orcid":"https://orcid.org/0000-0002-5151-0372"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keqiang Wang","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hongwei Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Peng","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101638637","display_name":"Yuanyuan Jin","orcid":"https://orcid.org/0000-0003-3583-5668"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Jin","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083750020","display_name":"Chaofeng Sha","orcid":"https://orcid.org/0009-0004-4195-0122"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaofeng Sha","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, 200433, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100344628","display_name":"Xiaoling Wang","orcid":"https://orcid.org/0000-0002-4594-6946"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoling Wang","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100344628"],"corresponding_institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":5.5232,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.96098915,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"1","issue":"4","first_page":"252","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10203","display_name":"Recommender Systems and Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10203","display_name":"Recommender Systems and Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9864000082015991,"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":0.9848999977111816,"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/computer-science","display_name":"Computer science","score":0.7912387847900391},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5463637709617615},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5455647110939026},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5454124212265015},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3856152594089508},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2939595580101013},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08981090784072876},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08802750706672668}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7912387847900391},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5463637709617615},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5455647110939026},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5454124212265015},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3856152594089508},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2939595580101013},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08981090784072876},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08802750706672668},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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":1,"locations":[{"id":"doi:10.1007/s41019-017-0032-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41019-017-0032-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs41019-017-0032-6.pdf","source":{"id":"https://openalex.org/S2486411021","display_name":"Data Science and Engineering","issn_l":"2364-1185","issn":["2364-1185","2364-1541"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Data Science and Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s41019-017-0032-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41019-017-0032-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs41019-017-0032-6.pdf","source":{"id":"https://openalex.org/S2486411021","display_name":"Data Science and Engineering","issn_l":"2364-1185","issn":["2364-1185","2364-1541"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Data Science and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2960325680","display_name":null,"funder_award_id":"61021004","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G500927609","display_name":null,"funder_award_id":"61472141","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5593635756","display_name":null,"funder_award_id":"Project Number: B412","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G5661849975","display_name":null,"funder_award_id":"ZF1213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7716912341","display_name":null,"funder_award_id":"61021004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8698608195","display_name":null,"funder_award_id":"U1501252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335766","display_name":"Shanghai Leading Academic Discipline Project","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2587163614.pdf","grobid_xml":"https://content.openalex.org/works/W2587163614.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1621774961","https://openalex.org/W1680189815","https://openalex.org/W1965688895","https://openalex.org/W1976999215","https://openalex.org/W1981295023","https://openalex.org/W1981886741","https://openalex.org/W2016666840","https://openalex.org/W2017921654","https://openalex.org/W2023603028","https://openalex.org/W2029750890","https://openalex.org/W2054141820","https://openalex.org/W2063468305","https://openalex.org/W2073013176","https://openalex.org/W2077927809","https://openalex.org/W2101409192","https://openalex.org/W2110953678","https://openalex.org/W2113640060","https://openalex.org/W2124187902","https://openalex.org/W2125326641","https://openalex.org/W2132314908","https://openalex.org/W2137245235","https://openalex.org/W2140310134","https://openalex.org/W2142144955","https://openalex.org/W2169661502","https://openalex.org/W2171813380","https://openalex.org/W2340502990","https://openalex.org/W2404840310","https://openalex.org/W2434205482","https://openalex.org/W2963363076","https://openalex.org/W3118655244"],"related_works":["https://openalex.org/W3038037253","https://openalex.org/W1504001548","https://openalex.org/W59193195","https://openalex.org/W4288429585","https://openalex.org/W2554601002","https://openalex.org/W3142085906","https://openalex.org/W210173153","https://openalex.org/W4287208482","https://openalex.org/W3155045649","https://openalex.org/W4311731535"],"abstract_inverted_index":{"Item":[0],"recommendation":[1,76,157],"helps":[2],"people":[3],"to":[4,20,82,90,124,142],"discover":[5],"their":[6],"potentially":[7],"interested":[8],"items":[9,23],"among":[10],"large":[11],"numbers":[12],"of":[13,96,110,139,161,173],"items.":[14],"One":[15],"most":[16],"common":[17],"application":[18],"is":[19,53,112],"recommend":[21],"top-n":[22,75],"on":[24,150],"implicit":[25,43],"feedback":[26,44],"datasets":[27,153],"(e.g.,":[28],"listening":[29],"history,":[30],"watching":[31],"history":[32],"or":[33],"visiting":[34],"history).":[35],"In":[36,64],"this":[37,65],"paper,":[38,66],"we":[39,67],"assume":[40],"that":[41,155],"the":[42,50,79,87,108,116,129,156,170],"matrix":[45,52,131,175],"has":[46,136],"local":[47,84],"property,":[48],"where":[49],"original":[51,117,130],"not":[54],"globally":[55],"low":[56,62],"rank":[57],"but":[58],"some":[59],"sub-matrices":[60,111,126],"are":[61,163],"rank.":[63],"propose":[68,120],"Local":[69],"Weighted":[70],"Matrix":[71],"Factorization":[72],"(LWMF)":[73],"for":[74],"by":[77,102],"employing":[78],"kernel":[80],"function":[81,89],"intensify":[83],"property":[85],"and":[86,159],"weight":[88],"model":[91],"user":[92],"preferences.":[93],"The":[94,133,147],"problem":[95],"sparsity":[97],"can":[98],"also":[99],"be":[100],"relieved":[101],"sub-matrix":[103],"factorization":[104,176],"in":[105],"LWMF,":[106],"since":[107],"density":[109],"much":[113],"higher":[114],"than":[115],"matrix.":[118],"We":[119],"a":[121,144],"heuristic":[122],"method":[123],"select":[125],"which":[127],"approximate":[128],"well.":[132],"greedy":[134],"algorithm":[135],"approximation":[137],"guarantee":[138],"factor":[140],"$$1-\\frac{1}{e}$$":[141],"get":[143],"near-optimal":[145],"solution.":[146],"experimental":[148],"results":[149],"two":[151],"real":[152],"show":[154],"precision":[158],"recall":[160],"LWMF":[162],"both":[164],"improved":[165],"about":[166],"30%":[167],"comparing":[168],"with":[169],"best":[171],"case":[172],"weighted":[174],"(WMF).":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}