{"id":"https://openalex.org/W4394951815","doi":"https://doi.org/10.31857/s0132347423060055","title":"On Accelerated Coordinate Descent Methods for Searching Equilibria in Two-Stage Transportation Equilibrium Traffic Flow Distribution Model","display_name":"On Accelerated Coordinate Descent Methods for Searching Equilibria in Two-Stage Transportation Equilibrium Traffic Flow Distribution Model","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4394951815","doi":"https://doi.org/10.31857/s0132347423060055"},"language":"en","primary_location":{"id":"doi:10.31857/s0132347423060055","doi":"https://doi.org/10.31857/s0132347423060055","is_oa":false,"landing_page_url":"https://doi.org/10.31857/s0132347423060055","pdf_url":null,"source":{"id":"https://openalex.org/S4210240470","display_name":"\u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435","issn_l":"0132-3474","issn":["0132-3474"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-1"],"host_organization":"https://openalex.org/P4310320535","host_organization_name":"Russian Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320535"],"host_organization_lineage_names":["Russian Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2307.10469","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092513702","display_name":"Nikita Iltyakov","orcid":"https://orcid.org/0009-0004-6090-6469","observed_orcids":["https://orcid.org/0009-0004-6090-6469"]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"N. A. Iltyakov","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092513703","display_name":"Mark Obozov","orcid":"https://orcid.org/0009-0006-6195-1848","observed_orcids":["https://orcid.org/0009-0006-6195-1848"]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. A. Obozov","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093394750","display_name":"I. M. Dyshlevski","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. M. Dyshlevski","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066638457","display_name":"Demyan V Yarmoshik","orcid":"https://orcid.org/0000-0003-1912-1040","observed_orcids":["https://orcid.org/0000-0003-1912-1040"]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. V. Yarmoshik","raw_affiliation_strings":["Institute for Information Transmission Problems of the RAS (Kharkevich Institute)","Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems of the RAS (Kharkevich Institute)","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069484290","display_name":"M. B. Kubentaeva","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. B. Kubentaeva","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028866398","display_name":"Alexander  Vladimirovich Gasnikov","orcid":"https://orcid.org/0000-0002-7386-039X","observed_orcids":["https://orcid.org/0000-0002-7386-039X"]},"institutions":[{"id":"https://openalex.org/I135226738","display_name":"Adyghe State University","ror":"https://ror.org/00tf0yk25","country_code":"RU","type":"education","lineage":["https://openalex.org/I135226738"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Gasnikov","raw_affiliation_strings":["Caucasian Mathematical Center of the Adyghe State University","Institute for Information Transmission Problems of the RAS (Kharkevich Institute)","Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caucasian Mathematical Center of the Adyghe State University","institution_ids":["https://openalex.org/I135226738"]},{"raw_affiliation_string":"Institute for Information Transmission Problems of the RAS (Kharkevich Institute)","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063689077","display_name":"Evgenia V Gasnikova","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"E. V. Gasnikova","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12577173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"6","first_page":"36","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9657999873161316,"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":0.9657999873161316,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.010300000198185444,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.008899999782443047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/traffic-equilibrium","display_name":"traffic equilibrium","score":0.6909999847412109},{"id":"https://openalex.org/keywords/traffic-flow-distribution","display_name":"traffic flow distribution","score":0.8880000114440918},{"id":"https://openalex.org/keywords/nonsmooth-convex-optimization","display_name":"nonsmooth convex optimization","score":0.9800000190734863},{"id":"https://openalex.org/keywords/complexity-estimates","display_name":"complexity estimates","score":0.6899999976158142},{"id":"https://openalex.org/keywords/convergence","display_name":"convergence","score":0.574999988079071}],"concepts":[{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.6287803649902344},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.6045710444450378},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5500131249427795},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5186682939529419},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44987618923187256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41023242473602295},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.40679800510406494},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3888521194458008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37112662196159363},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3693752884864807},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3355022072792053},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2216634750366211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1550712287425995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1330106258392334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11699795722961426},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.07790160179138184},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.31857/s0132347423060055","doi":"https://doi.org/10.31857/s0132347423060055","is_oa":false,"landing_page_url":"https://doi.org/10.31857/s0132347423060055","pdf_url":null,"source":{"id":"https://openalex.org/S4210240470","display_name":"\u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435","issn_l":"0132-3474","issn":["0132-3474"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-1"],"host_organization":"https://openalex.org/P4310320535","host_organization_name":"Russian Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320535"],"host_organization_lineage_names":["Russian Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2307.10469","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.10469","pdf_url":"https://arxiv.org/pdf/2307.10469","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2307.10469","doi":"https://doi.org/10.48550/arxiv.2307.10469","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2307.10469","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2307.10469","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.10469","pdf_url":"https://arxiv.org/pdf/2307.10469","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394951815.pdf","grobid_xml":"https://content.openalex.org/works/W4394951815.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1958391931","https://openalex.org/W1985240368","https://openalex.org/W2009165680","https://openalex.org/W2059195471","https://openalex.org/W2088411705","https://openalex.org/W2095984592","https://openalex.org/W2128598409","https://openalex.org/W2336104608","https://openalex.org/W2341162003","https://openalex.org/W2766736351","https://openalex.org/W2796108938","https://openalex.org/W2916545623","https://openalex.org/W2948867926","https://openalex.org/W2963818748","https://openalex.org/W3039256091","https://openalex.org/W3111985388","https://openalex.org/W4229450850","https://openalex.org/W4307079002","https://openalex.org/W4319595503","https://openalex.org/W4377086296","https://openalex.org/W4390588353","https://openalex.org/W6605729853"],"related_works":["https://openalex.org/W2575654670","https://openalex.org/W2430154609","https://openalex.org/W2945222577","https://openalex.org/W2025565923","https://openalex.org/W2043830623","https://openalex.org/W2897289667","https://openalex.org/W2025649677","https://openalex.org/W3168804776","https://openalex.org/W2626097948","https://openalex.org/W4229457313"],"abstract_inverted_index":{"The":[0],"search":[1],"for":[2],"equilibrium":[3],"in":[4,71,90],"a":[5,15,44],"two-stage":[6],"traffic":[7],"flow":[8],"model":[9],"reduces":[10],"to":[11,36],"the":[12,33,38,56,64,72,84,91],"solution":[13,29],"of":[14,24,30,47,55,58,66],"special":[16,45],"nonsmooth":[17],"convex":[18],"optimization":[19],"problem":[20],"with":[21,43,83],"two":[22],"groups":[23],"different":[25],"variables.":[26],"For":[27],"numerical":[28],"this":[31,59],"problem,":[32],"paper":[34],"proposes":[35],"use":[37],"accelerated":[39],"block-coordinate":[40],"Nesterov-Stich":[41],"method":[42],"choice":[46],"block":[48],"probabilities":[49],"at":[50],"each":[51],"iteration.":[52],"Theoretical":[53],"estimates":[54,65],"complexity":[57],"approach":[60],"can":[61],"markedly":[62],"improve":[63],"previously":[67],"used":[68],"approaches.":[69],"However,":[70],"general":[73],"case":[74],"they":[75],"do":[76],"not":[77],"guarantee":[78],"faster":[79],"convergence.":[80],"Numerical":[81],"experiments":[82],"proposed":[85],"algorithms":[86],"are":[87],"carried":[88],"out":[89],"paper.":[92]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-04-20T00:00:00"}
