{"id":"https://openalex.org/W4289768547","doi":"https://doi.org/10.1016/j.ifacol.2022.07.301","title":"Yakubovich's method of recursive objective inequalities in machine learning","display_name":"Yakubovich's method of recursive objective inequalities in machine learning","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4289768547","doi":"https://doi.org/10.1016/j.ifacol.2022.07.301"},"language":"en","primary_location":{"id":"doi:10.1016/j.ifacol.2022.07.301","doi":"https://doi.org/10.1016/j.ifacol.2022.07.301","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ifacol.2022.07.301","pdf_url":null,"source":{"id":"https://openalex.org/S2898405271","display_name":"IFAC-PapersOnLine","issn_l":"2405-8963","issn":["2405-8963","2405-8971"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFAC-PapersOnLine","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/j.ifacol.2022.07.301","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026973062","display_name":"Mikhail Lipkovich","orcid":"https://orcid.org/0000-0002-9645-3690","observed_orcids":["https://orcid.org/0000-0002-9645-3690"]},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I4210142628","display_name":"Institute of Problems of Mechanical Engineering","ror":"https://ror.org/047pt5178","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210142628","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Mikhail Lipkovich","raw_affiliation_strings":["Institute of Problems in Mechanical Engineering, Saint Petersburg, Russia","Saint Petersburg State University, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Problems in Mechanical Engineering, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]},{"raw_affiliation_string":"Saint Petersburg State University, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026973062"],"corresponding_institution_ids":["https://openalex.org/I172901346","https://openalex.org/I4210142628"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.5311,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.61257407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"55","issue":"12","first_page":"138","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.7285000085830688,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.7285000085830688,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.05000000074505806,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12676","display_name":"Machine Learning and ELM","score":0.042500000447034836,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/linear-classification","display_name":"linear classification","score":0.9440000057220459},{"id":"https://openalex.org/keywords/loss-reduction","display_name":"loss reduction","score":0.9120000004768372},{"id":"https://openalex.org/keywords/e-learning","display_name":"online learning","score":0.8389999866485596},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.7900000214576721},{"id":"https://openalex.org/keywords/logistic-regression-comparison","display_name":"logistic regression comparison","score":0.8100000023841858}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7173890471458435},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5974438786506653},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.5899164080619812},{"id":"https://openalex.org/C115903097","wikidata":"https://www.wikidata.org/wiki/Q7094097","display_name":"Online machine learning","level":3,"score":0.5318752527236938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5245611667633057},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5034555792808533},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4999845027923584},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4867680072784424},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4849419891834259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4717182517051697},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4411331117153168},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.4309979975223541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4088180661201477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39746394753456116},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3688531816005707},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.15641257166862488},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1220259964466095},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ifacol.2022.07.301","doi":"https://doi.org/10.1016/j.ifacol.2022.07.301","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ifacol.2022.07.301","pdf_url":null,"source":{"id":"https://openalex.org/S2898405271","display_name":"IFAC-PapersOnLine","issn_l":"2405-8963","issn":["2405-8963","2405-8971"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFAC-PapersOnLine","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ifacol.2022.07.301","doi":"https://doi.org/10.1016/j.ifacol.2022.07.301","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ifacol.2022.07.301","pdf_url":null,"source":{"id":"https://openalex.org/S2898405271","display_name":"IFAC-PapersOnLine","issn_l":"2405-8963","issn":["2405-8963","2405-8971"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFAC-PapersOnLine","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W589398117","https://openalex.org/W809071854","https://openalex.org/W2033468335","https://openalex.org/W2040870580","https://openalex.org/W2049166497","https://openalex.org/W2062405719","https://openalex.org/W2064769840","https://openalex.org/W2087347434","https://openalex.org/W2113459411","https://openalex.org/W2125621954","https://openalex.org/W2159168492","https://openalex.org/W2168932733","https://openalex.org/W2171033594","https://openalex.org/W2544175646","https://openalex.org/W4239045445","https://openalex.org/W4285357187","https://openalex.org/W6839727311"],"related_works":["https://openalex.org/W7202200955","https://openalex.org/W7067227419","https://openalex.org/W2091825929","https://openalex.org/W831357384","https://openalex.org/W2073178869","https://openalex.org/W2569940912","https://openalex.org/W2186852865","https://openalex.org/W7099665783","https://openalex.org/W2963558078","https://openalex.org/W3195018806"],"abstract_inverted_index":{"\u201cStripe\u201d":[0,74],"algorithm":[1,9,75],"was":[2],"designed":[3],"by":[4],"V.A.":[5],"Yakubovich":[6],"as":[7,42,44,58],"an":[8],"for":[10],"linear":[11,55,62],"classification":[12],"model":[13],"training.":[14],"The":[15,33],"basic":[16],"approach":[17],"is":[18],"to":[19,24],"reduce":[20],"loss":[21],"minimization":[22],"problem":[23],"solving":[25],"a":[26],"system":[27],"of":[28,31,39,87],"infinite":[29],"number":[30],"inequalities.":[32],"present":[34],"paper":[35],"considers":[36],"various":[37],"forms":[38],"this":[40],"reduction":[41],"well":[43,83],"its":[45],"practical":[46],"applicability.":[47],"Obtained":[48],"algorithms":[49],"are":[50],"experimentally":[51],"compared":[52],"with":[53],"traditional":[54],"models":[56],"such":[57],"logistic":[59],"regression":[60,63],"and":[61,79],"trained":[64],"using":[65],"stochastic":[66],"gradient":[67],"descent.":[68],"Simulation":[69],"results":[70],"show":[71],"that":[72],"the":[73,85],"possesses":[76],"fast":[77],"convergence":[78],"in":[80,84],"particular":[81],"suitable":[82],"paradigm":[86],"online":[88],"machine":[89],"learning.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2022-08-04T00:00:00"}