{"id":"https://openalex.org/W3135239726","doi":"https://doi.org/10.14736/kyb-2021-1-0060","title":"Multi-agent solver for non-negative matrix factorization based on optimization","display_name":"Multi-agent solver for non-negative matrix factorization based on optimization","publication_year":2021,"publication_date":"2021-03-05","ids":{"openalex":"https://openalex.org/W3135239726","doi":"https://doi.org/10.14736/kyb-2021-1-0060","mag":"3135239726"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2021-1-0060","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-1-0060","pdf_url":"https://www.kybernetika.cz/content/2021/1/60/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2021/1/60/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049071763","display_name":"Zhipeng Tu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhipeng Tu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100675610","display_name":"Weijian Li","orcid":"https://orcid.org/0000-0003-3421-4667"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weijian Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3044,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59564427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"60","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/solver","display_name":"Solver","score":0.6561609506607056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5838969945907593},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.548291802406311},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5043622255325317},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49271705746650696},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4567398428916931},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35428518056869507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3542308211326599},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3335396647453308},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1293909251689911},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08526647090911865}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6561609506607056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5838969945907593},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.548291802406311},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5043622255325317},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49271705746650696},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4567398428916931},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35428518056869507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3542308211326599},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3335396647453308},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1293909251689911},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08526647090911865},{"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},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2021-1-0060","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-1-0060","pdf_url":"https://www.kybernetika.cz/content/2021/1/60/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/149027","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/149027","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/149027/Kybernetika_57-2021-1_5.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2021-1-0060","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-1-0060","pdf_url":"https://www.kybernetika.cz/content/2021/1/60/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135239726.pdf","grobid_xml":"https://content.openalex.org/works/W3135239726.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W284798019","https://openalex.org/W1581344423","https://openalex.org/W1902027874","https://openalex.org/W2060204507","https://openalex.org/W2066332749","https://openalex.org/W2070135644","https://openalex.org/W2076566842","https://openalex.org/W2108119513","https://openalex.org/W2110096996","https://openalex.org/W2114791779","https://openalex.org/W2135029798","https://openalex.org/W2153622543","https://openalex.org/W2162388373","https://openalex.org/W2215067230","https://openalex.org/W2277723519","https://openalex.org/W2405459681","https://openalex.org/W2409418461","https://openalex.org/W2479778494","https://openalex.org/W2521320587","https://openalex.org/W2781179456","https://openalex.org/W2963125098","https://openalex.org/W2963333577","https://openalex.org/W2964211247","https://openalex.org/W2974003660","https://openalex.org/W3012039773","https://openalex.org/W3124367822","https://openalex.org/W4212864101","https://openalex.org/W4391285994"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W2794559785","https://openalex.org/W1966025497","https://openalex.org/W2950631682","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W1553604823","https://openalex.org/W1973739845","https://openalex.org/W119752240"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"a":[3,12],"distributed":[4,22,28,67],"solver":[5],"for":[6],"non-negative":[7],"matrix":[8],"factorization":[9],"(NMF)":[10],"over":[11],"multi-agent":[13],"network.":[14],"After":[15],"reformulating":[16],"the":[17,20,33,38,45,75],"problem":[18],"into":[19],"standard":[21],"optimization":[23],"form,":[24],"we":[25,50,56],"design":[26],"our":[27,66],"algorithm":[29,69],"(DisNMF)":[30],"based":[31],"on":[32],"primal-dual":[34],"method":[35],"and":[36,62],"in":[37,72],"form":[39],"of":[40,47],"multiplicative":[41],"update":[42],"rule.":[43],"With":[44],"help":[46],"auxiliary":[48],"functions,":[49],"provide":[51],"monotonic":[52],"convergence":[53],"analysis.":[54],"Furthermore,":[55],"show":[57],"by":[58],"computational":[59],"complexity":[60],"analysis":[61],"numerical":[63],"examples":[64],"that":[65],"NMF":[68,77],"performs":[70],"well":[71],"comparison":[73],"with":[74],"centralized":[76],"algorithm.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}