{"id":"https://openalex.org/W7081958452","doi":"https://doi.org/10.1109/tac.2025.3609398","title":"Primal-Dual Accelerated Mirror-Descent Method for Constrained Bilinear Saddle-Point Problems","display_name":"Primal-Dual Accelerated Mirror-Descent Method for Constrained Bilinear Saddle-Point Problems","publication_year":2025,"publication_date":"2025-09-12","ids":{"openalex":"https://openalex.org/W7081958452","doi":"https://doi.org/10.1109/tac.2025.3609398"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3609398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3609398","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Weijian Li","orcid":"https://orcid.org/0000-0003-3421-4667"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Weijian Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xianlin Zeng","orcid":"https://orcid.org/0000-0002-6224-9974"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianlin Zeng","raw_affiliation_strings":["Key Laboratory of Intelligent Control and Decision of Complex Systems, School of Automation, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Decision of Complex Systems, School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lacra Pavel","orcid":"https://orcid.org/0000-0002-2849-0318"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lacra Pavel","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46283067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"2","first_page":"1373","last_page":"1380"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T13511","display_name":"Geodetic Measurements and Engineering Structures","score":0.12349999696016312,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T13511","display_name":"Geodetic Measurements and Engineering Structures","score":0.12349999696016312,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T13085","display_name":"Education, Psychology, and Social Research","score":0.10670000314712524,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14353","display_name":"Wireless Sensor Networks for Data Analysis","score":0.06080000102519989,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.8154000043869019},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.5982000231742859},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48899999260902405},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.45170000195503235},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4429999887943268},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4426000118255615},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4117000102996826},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4088999927043915}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.8154000043869019},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5982000231742859},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5730000138282776},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48899999260902405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47749999165534973},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.45170000195503235},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4429999887943268},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4426000118255615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43619999289512634},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4117000102996826},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4088999927043915},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.3828999996185303},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30329999327659607},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.290800005197525},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C3020028006","wikidata":"https://www.wikidata.org/wiki/Q9158","display_name":"Electronic mail","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2533000111579895},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3609398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3609398","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1521738998","https://openalex.org/W2018493294","https://openalex.org/W2020123437","https://openalex.org/W2056226204","https://openalex.org/W2114791779","https://openalex.org/W2129122308","https://openalex.org/W2157976960","https://openalex.org/W2254533881","https://openalex.org/W2521320587","https://openalex.org/W2617089797","https://openalex.org/W2772443375","https://openalex.org/W2899194738","https://openalex.org/W2940623308","https://openalex.org/W2962717811","https://openalex.org/W2963073480","https://openalex.org/W2963550797","https://openalex.org/W2963651047","https://openalex.org/W2963830980","https://openalex.org/W2971643127","https://openalex.org/W2992483221","https://openalex.org/W2994062025","https://openalex.org/W3013359803","https://openalex.org/W3106705281","https://openalex.org/W3108573827","https://openalex.org/W3155125091","https://openalex.org/W3161273445","https://openalex.org/W3196682401","https://openalex.org/W3205832882","https://openalex.org/W4252937232","https://openalex.org/W4287257988","https://openalex.org/W4383112682","https://openalex.org/W4383746584","https://openalex.org/W4392388942"],"related_works":[],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,7,22,47],"first-order":[3],"accelerated":[4,29,75],"algorithm":[5,20],"for":[6,61],"class":[8],"of":[9,27,49,73],"constrained":[10,62],"bilinear":[11,66],"saddle-point":[12],"problems":[13],"with":[14,34,46],"applications":[15],"to":[16],"network":[17],"systems.":[18],"The":[19],"is":[21],"modified":[23],"time-varying":[24],"primal-dual":[25],"version":[26],"an":[28],"mirror-descent":[30],"dynamics.":[31],"It":[32],"deals":[33],"constraints":[35,42],"such":[36],"as":[37],"simplices":[38],"and":[39,44,65,69],"convex":[40],"set":[41],"effectively,":[43],"converges":[45],"rate":[48],"<inline-formula":[50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[52],"notation=\"LaTeX\">$\\mathcal":[53],"{O}(1/t^{2})$</tex-math></inline-formula>.":[54],"Furthermore,":[55],"we":[56],"employ":[57],"the":[58],"acceleration":[59],"scheme":[60],"distributed":[63,74],"optimization":[64],"zero-sum":[67],"games,":[68],"obtain":[70],"two":[71],"variants":[72],"algorithms.":[76]},"counts_by_year":[],"updated_date":"2026-02-02T03:55:41.653505","created_date":"2025-10-10T00:00:00"}