{"id":"https://openalex.org/W4313481921","doi":"https://doi.org/10.1007/s10107-022-01919-z","title":"A unified single-loop alternating gradient projection algorithm for nonconvex\u2013concave and convex\u2013nonconcave minimax problems","display_name":"A unified single-loop alternating gradient projection algorithm for nonconvex\u2013concave and convex\u2013nonconcave minimax problems","publication_year":2023,"publication_date":"2023-01-02","ids":{"openalex":"https://openalex.org/W4313481921","doi":"https://doi.org/10.1007/s10107-022-01919-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01919-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01919-z","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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":"https://openalex.org/A5039783592","display_name":"Zi Xu","orcid":"https://orcid.org/0000-0003-0968-8027"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi Xu","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115603641","display_name":"Huiling Zhang","orcid":"https://orcid.org/0000-0002-1858-7255"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiling Zhang","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081569334","display_name":"Yang Xu","orcid":"https://orcid.org/0000-0002-4158-0254"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Xu","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People\u2019s Republic of China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, People's Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042544900","display_name":"Guanghui Lan","orcid":"https://orcid.org/0000-0002-2103-087X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guanghui Lan","raw_affiliation_strings":["Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042544900"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":9.0086,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.99084161,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"201","issue":"1-2","first_page":"635","last_page":"706"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"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":0.9972000122070312,"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/mathematics","display_name":"Mathematics","score":0.7739917039871216},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6967280507087708},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6647101640701294},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6128759384155273},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5031628012657166},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.49568140506744385},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.44597697257995605},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.44150158762931824},{"id":"https://openalex.org/keywords/minimax-theorem","display_name":"Minimax theorem","score":0.41253894567489624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3603164553642273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3581862449645996},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29107946157455444},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11789920926094055}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7739917039871216},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6967280507087708},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6647101640701294},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6128759384155273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5031628012657166},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.49568140506744385},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.44597697257995605},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.44150158762931824},{"id":"https://openalex.org/C2780861221","wikidata":"https://www.wikidata.org/wiki/Q913849","display_name":"Minimax theorem","level":3,"score":0.41253894567489624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3603164553642273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3581862449645996},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29107946157455444},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11789920926094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-022-01919-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01919-z","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6258082775","display_name":null,"funder_award_id":"CCF 1909298","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G708647158","display_name":null,"funder_award_id":"12071279","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7188236137","display_name":null,"funder_award_id":"General Project No. 20ZR1420600","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1559244049","https://openalex.org/W1943968880","https://openalex.org/W1966953121","https://openalex.org/W1972552174","https://openalex.org/W2020123437","https://openalex.org/W2030161963","https://openalex.org/W2044774602","https://openalex.org/W2081316950","https://openalex.org/W2084845949","https://openalex.org/W2089559088","https://openalex.org/W2092851214","https://openalex.org/W2110412969","https://openalex.org/W2112796928","https://openalex.org/W2151565294","https://openalex.org/W2228647872","https://openalex.org/W2241435520","https://openalex.org/W2962823973","https://openalex.org/W2965299328","https://openalex.org/W3016604587","https://openalex.org/W3025638325","https://openalex.org/W3141595720","https://openalex.org/W4250589301","https://openalex.org/W6600648412","https://openalex.org/W6605023316","https://openalex.org/W6611608239","https://openalex.org/W6680120035","https://openalex.org/W6732174927"],"related_works":["https://openalex.org/W2913065543","https://openalex.org/W2357183518","https://openalex.org/W3141427172","https://openalex.org/W2080814394","https://openalex.org/W2122214963","https://openalex.org/W2150122235","https://openalex.org/W3152424015","https://openalex.org/W2040629393","https://openalex.org/W4299339383","https://openalex.org/W3123040111"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
