{"id":"https://openalex.org/W7214717772","doi":"https://doi.org/10.48550/arxiv.2609.33021","title":"Decentralized Optimization with Cross-Coupled Mixed Affine Constraints","display_name":"Decentralized Optimization with Cross-Coupled Mixed Affine Constraints","publication_year":2026,"publication_date":"2026-09-26","ids":{"openalex":"https://openalex.org/W7214717772","doi":"https://doi.org/10.48550/arxiv.2609.33021"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.33021","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33021","pdf_url":"https://arxiv.org/pdf/2609.33021","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.33021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152463647","display_name":"Ewsey R. Obzherin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Obzherin, Ewsey","raw_affiliation_strings":["FusionBrain Lab","Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FusionBrain Lab","institution_ids":[]},{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153466162","display_name":"Ilya Khomchenko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Khomchenko, Ilya","raw_affiliation_strings":["Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153463367","display_name":"Natalia Shelegeda","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Shelegeda, Natalia","raw_affiliation_strings":["Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109695009","display_name":"Nhat Trung Nguyen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nguyen, Nhat Trung","raw_affiliation_strings":["Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029455617","display_name":"Demyan Yarmoshik","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yarmoshik, Demyan","raw_affiliation_strings":["Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002006779","display_name":"Alexander Rogozin","orcid":"https://orcid.org/0000-0003-3435-2680","observed_orcids":["https://orcid.org/0000-0003-3435-2680"]},"institutions":[{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Rogozin, Alexander","raw_affiliation_strings":["Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]},{"author_position":"last","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/I4210116741","display_name":"Innopolis University","ror":"https://ror.org/02b7jh107","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210116741"]},{"id":"https://openalex.org/I4392021246","display_name":"AIRI - Artificial Intelligence Research Institute","ror":"https://ror.org/014a87f14","country_code":"RU","type":"nonprofit","lineage":["https://openalex.org/I4392021246"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Gasnikov, Alexander","raw_affiliation_strings":["Innopolis University","Moscow Independent Research Institute of Artificial Intelligence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Innopolis University","institution_ids":["https://openalex.org/I4210116741"]},{"raw_affiliation_string":"Moscow Independent Research Institute of Artificial Intelligence","institution_ids":["https://openalex.org/I4392021246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.7148000001907349,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.7148000001907349,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.23989999294281006,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.012900000438094139,"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/distributed-optimization","display_name":"distributed optimization","score":1.0},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"communication complexity","score":0.7889999747276306},{"id":"https://openalex.org/keywords/nonsmooth-convex-optimization","display_name":"nonsmooth convex optimization","score":0.8379999995231628}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7278000116348267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5871000289916992},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5734000205993652},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.555899977684021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5254999995231628},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5198000073432922},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5159000158309937},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38760000467300415},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3650999963283539},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.36399999260902405},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.3578000068664551},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.3547999858856201},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33009999990463257},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.3239000141620636},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2946000099182129},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2549000084400177}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.33021","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33021","pdf_url":"https://arxiv.org/pdf/2609.33021","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.33021","doi":"https://doi.org/10.48550/arxiv.2609.33021","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.33021","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:2609.33021","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33021","pdf_url":"https://arxiv.org/pdf/2609.33021","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214717772.pdf","grobid_xml":"https://content.openalex.org/works/W7214717772.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7127951230","https://openalex.org/W4313343118","https://openalex.org/W4400377927","https://openalex.org/W7161768717","https://openalex.org/W4389429207","https://openalex.org/W2895154335","https://openalex.org/W2772225710","https://openalex.org/W3167140839","https://openalex.org/W7106799473","https://openalex.org/W3036555780"],"abstract_inverted_index":{"We":[0,19,57],"study":[1],"decentralized":[2,61],"optimization":[3],"with":[4,63],"cross-coupled":[5],"mixed":[6],"affine":[7,17],"constraints,":[8],"where":[9],"local":[10],"and":[11,49,54,73,79,91],"shared":[12],"variables":[13],"interact":[14],"through":[15],"two":[16],"channels.":[18],"show":[20],"that":[21,42],"the":[22,51,68,75,85],"intrinsic":[23],"difficulty":[24],"of":[25],"combining":[26],"separately":[27],"well-conditioned":[28],"channels":[29],"is":[30],"governed":[31],"by":[32,46],"their":[33],"Friedrichs":[34],"angle.":[35],"This":[36],"geometry":[37,90],"induces":[38],"a":[39],"cross-coupling":[40],"factor":[41],"cannot":[43],"be":[44],"removed":[45],"channelwise":[47],"preconditioning":[48],"governs":[50],"additional":[52],"affine-oracle":[53],"communication":[55],"complexity.":[56],"develop":[58],"an":[59],"accelerated":[60],"method":[62],"matching":[64],"minimax":[65],"guarantees":[66],"in":[67],"smooth":[69,78],"strongly":[70],"convex":[71,81],"regime":[72],"extend":[74],"framework":[76],"to":[77],"nonsmooth":[80],"objectives.":[82],"Experiments":[83],"confirm":[84],"predicted":[86],"dependence":[87],"on":[88],"cross-channel":[89],"network":[92],"conditioning.":[93]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-30T00:00:00"}