{"id":"https://openalex.org/W4391382761","doi":"https://doi.org/10.1109/camsap58249.2023.10403485","title":"A Distributed First-Order Optimization Method for Strongly Concave-Convex Saddle-Point Problems","display_name":"A Distributed First-Order Optimization Method for Strongly Concave-Convex Saddle-Point Problems","publication_year":2023,"publication_date":"2023-12-10","ids":{"openalex":"https://openalex.org/W4391382761","doi":"https://doi.org/10.1109/camsap58249.2023.10403485"},"language":"en","primary_location":{"id":"doi:10.1109/camsap58249.2023.10403485","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap58249.2023.10403485","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5016836431","display_name":"Muhammad I. Qureshi","orcid":"https://orcid.org/0000-0002-0661-4156"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Muhammad I. Qureshi","raw_affiliation_strings":["Tufts University,Medford,MA,USA","Tufts University, Medford, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tufts University,Medford,MA,USA","institution_ids":["https://openalex.org/I121934306"]},{"raw_affiliation_string":"Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025641667","display_name":"Usman A. Khan","orcid":"https://orcid.org/0000-0002-0853-6518"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Usman A. Khan","raw_affiliation_strings":["Tufts University,Medford,MA,USA","Tufts University, Medford, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tufts University,Medford,MA,USA","institution_ids":["https://openalex.org/I121934306"]},{"raw_affiliation_string":"Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I121934306"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"121","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9944000244140625,"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/saddle-point","display_name":"Saddle point","score":0.9376065731048584},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6197315454483032},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6169968843460083},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5579464435577393},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5468412041664124},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.531825840473175},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5232999920845032},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.5177320837974548},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49554145336151123},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.4736683964729309},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.46959415078163147},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4565252363681793},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4526287913322449},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4475913941860199},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.44652488827705383},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.44587069749832153},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4340641498565674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4289076626300812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3737207055091858},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.169849693775177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1371575891971588},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11005985736846924},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07206234335899353},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06874436140060425}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.9376065731048584},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6197315454483032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6169968843460083},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5579464435577393},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5468412041664124},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.531825840473175},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5232999920845032},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.5177320837974548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49554145336151123},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.4736683964729309},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.46959415078163147},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4565252363681793},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4526287913322449},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4475913941860199},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.44652488827705383},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.44587069749832153},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4340641498565674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4289076626300812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3737207055091858},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.169849693775177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1371575891971588},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11005985736846924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07206234335899353},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06874436140060425},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/camsap58249.2023.10403485","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap58249.2023.10403485","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W2044212084","https://openalex.org/W2107213110","https://openalex.org/W2141870784","https://openalex.org/W2243837470","https://openalex.org/W2291434103","https://openalex.org/W2559655401","https://openalex.org/W2913668833","https://openalex.org/W2963647223","https://openalex.org/W2963809785","https://openalex.org/W2991772480","https://openalex.org/W3022100703","https://openalex.org/W3027891624","https://openalex.org/W3097497066","https://openalex.org/W3116610253","https://openalex.org/W3134165197","https://openalex.org/W4237558136","https://openalex.org/W4287070054","https://openalex.org/W4387146000","https://openalex.org/W4393372930","https://openalex.org/W6748249903","https://openalex.org/W6751921135","https://openalex.org/W6759395059","https://openalex.org/W6763496775","https://openalex.org/W6791460135","https://openalex.org/W6799313882","https://openalex.org/W6809742968"],"related_works":["https://openalex.org/W1979925556","https://openalex.org/W2963092340","https://openalex.org/W3022588902","https://openalex.org/W2962723467","https://openalex.org/W2972203720","https://openalex.org/W2993359677","https://openalex.org/W2978731891","https://openalex.org/W2592651140","https://openalex.org/W4295694585","https://openalex.org/W2935777426"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,19],"first-order":[6],"optimization":[7],"method":[8,53,77,101],"for":[9,58,105],"solving":[10],"saddle-point":[11,83],"problems":[12],"when":[13,84],"the":[14,31,48,66,75,81,85,95,99],"data":[15],"is":[16,28,88],"distributed":[17],"over":[18],"strongly":[20,89],"connected":[21],"weight-balanced":[22],"network":[23],"of":[24,41,98,108],"nodes.":[25],"Our":[26],"solution":[27],"based":[29],"on":[30],"gradient":[32,56],"descent-ascent":[33],"where":[34],"each":[35],"node":[36],"iteratively":[37],"computes":[38],"partial":[39],"gradients":[40],"its":[42],"local":[43,67],"cost":[44,70],"function":[45],"to":[46,64,80],"implement":[47],"corresponding":[49],"steps.":[50],"The":[51,91],"proposed":[52,76,100],"further":[54],"uses":[55],"tracking":[57],"both":[59],"de-scent":[60],"and":[61],"ascent":[62],"updates":[63],"tackle":[65],"versus":[68],"global":[69,86],"gaps.":[71],"We":[72],"show":[73],"that":[74],"converges":[78],"linearly":[79],"unique":[82],"problem":[87],"concave-convex.":[90],"numerical":[92],"experiments":[93],"il-lustrate":[94],"performance":[96],"comparison":[97],"with":[102],"related":[103],"work":[104],"different":[106],"classes":[107],"problems.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
