{"id":"https://openalex.org/W4315489202","doi":"https://doi.org/10.1109/cdc51059.2022.9992996","title":"Coordinate projected gradient descent minimization and its application to orthogonal nonnegative matrix factorization","display_name":"Coordinate projected gradient descent minimization and its application to orthogonal nonnegative matrix factorization","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315489202","doi":"https://doi.org/10.1109/cdc51059.2022.9992996"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992996","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2504.00770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079579696","display_name":"Fl\u00e1via Chorobura","orcid":null},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Flavia Chorobura","raw_affiliation_strings":["University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042"],"affiliations":[{"raw_affiliation_string":"University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059940652","display_name":"Daniela Lupu","orcid":null},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Daniela Lupu","raw_affiliation_strings":["University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042"],"affiliations":[{"raw_affiliation_string":"University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019114471","display_name":"Ion Necoara","orcid":"https://orcid.org/0000-0003-1102-2654"},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ion Necoara","raw_affiliation_strings":["University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042"],"affiliations":[{"raw_affiliation_string":"University Politehnica Bucharest,Automatic Control and System Engineering Department,Bucharest,Romania,060042","institution_ids":["https://openalex.org/I61641377"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079579696"],"corresponding_institution_ids":["https://openalex.org/I61641377"],"apc_list":null,"apc_paid":null,"fwci":0.2069,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59505571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"6929","last_page":"6934"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9943000078201294,"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/coordinate-descent","display_name":"Coordinate descent","score":0.8192311525344849},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6884023547172546},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6438162326812744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6286959648132324},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6116431951522827},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4741765260696411},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45105069875717163},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4386318624019623},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.43841981887817383},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4336017668247223},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.426298052072525},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.30200856924057007},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2501733899116516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1542397141456604},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.09473720192909241}],"concepts":[{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.8192311525344849},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6884023547172546},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6438162326812744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6286959648132324},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6116431951522827},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4741765260696411},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45105069875717163},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4386318624019623},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.43841981887817383},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4336017668247223},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.426298052072525},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.30200856924057007},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2501733899116516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1542397141456604},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09473720192909241},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992996","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2504.00770","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.00770","pdf_url":"https://arxiv.org/pdf/2504.00770","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2504.00770","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.00770","pdf_url":"https://arxiv.org/pdf/2504.00770","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W2002745466","https://openalex.org/W2021361347","https://openalex.org/W2072265605","https://openalex.org/W2084453552","https://openalex.org/W2087347434","https://openalex.org/W2969215180","https://openalex.org/W2990601391","https://openalex.org/W3025858149","https://openalex.org/W3092078533","https://openalex.org/W3158308656","https://openalex.org/W3170429821","https://openalex.org/W3217620259","https://openalex.org/W4205214044","https://openalex.org/W4287689466","https://openalex.org/W6754114488","https://openalex.org/W6770745340","https://openalex.org/W6781905506","https://openalex.org/W6794956977","https://openalex.org/W6804663560","https://openalex.org/W6805243148","https://openalex.org/W7066251245"],"related_works":["https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2146544734","https://openalex.org/W2075222291"],"abstract_inverted_index":{"In":[0],"this":[1,87,119],"paper":[2],"we":[3,50],"consider":[4],"large-scale":[5],"composite":[6],"nonconvex":[7,124],"optimization":[8],"problems":[9],"having":[10],"the":[11,37,62,66,70,91,104,108,123,136],"objective":[12,109],"function":[13,39],"formed":[14],"as":[15],"a":[16,54,73,79,95,114],"sum":[17],"of":[18,40,65,69,138],"three":[19],"terms,":[20],"first":[21],"has":[22],"block":[23],"coordinate-wise":[24],"Lipschitz":[25],"continuous":[26],"gradient,":[27],"second":[28,105],"is":[29,36],"twice":[30],"differentiable":[31,67],"but":[32],"nonseparable":[33],"and":[34,52],"third":[35],"indicator":[38],"some":[41],"separable":[42],"closed":[43],"convex":[44],"set.":[45],"Under":[46],"these":[47],"general":[48],"settings":[49],"derive":[51],"analyze":[53],"new":[55,120],"cyclic":[56],"coordinate":[57,74,92],"descent":[58,76,96],"method,":[59,97],"which":[60],"uses":[61],"partial":[63],"gradient":[64,75,93],"part":[68],"objective,":[71],"yielding":[72],"scheme":[77,94],"with":[78],"novel":[80],"adaptive":[81],"stepsize":[82,88],"rule.":[83],"We":[84,111],"prove":[85],"that":[86,99],"rule":[89],"makes":[90],"provided":[98],"additional":[100],"assumptions":[101],"hold":[102],"for":[103,118],"term":[106],"in":[107,122],"function.":[110],"also":[112,134],"present":[113],"worst-case":[115],"complexity":[116],"analysis":[117],"method":[121],"settings.":[125],"Numerical":[126],"results":[127],"on":[128],"orthogonal":[129],"nonnegative":[130],"matrix":[131],"factorization":[132],"problem":[133],"confirm":[135],"efficiency":[137],"our":[139],"algorithm.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
