{"id":"https://openalex.org/W3008575487","doi":"https://doi.org/10.1007/s10107-022-01779-7","title":"Perturbed Fenchel duality and first-order methods","display_name":"Perturbed Fenchel duality and first-order methods","publication_year":2022,"publication_date":"2022-02-03","ids":{"openalex":"https://openalex.org/W3008575487","doi":"https://doi.org/10.1007/s10107-022-01779-7","mag":"3008575487"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01779-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01779-7","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.10198","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056612545","display_name":"David H. Gutman","orcid":"https://orcid.org/0000-0003-3130-0076"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David H. Gutman","raw_affiliation_strings":["Department of Industrial, Manufacturing and Systems Engineering, Texas Tech University, Lubbock, USA","Industrial Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Industrial, Manufacturing and Systems Engineering, Texas Tech University, Lubbock, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Industrial Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016340912","display_name":"Javier Pe\u00f1a","orcid":"https://orcid.org/0000-0001-5698-1918"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Javier F. Pe\u00f1a","raw_affiliation_strings":["Tepper School of Business, Carnegie Mellon University, Pittsburgh, USA","Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Tepper School of Business, Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056612545"],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.00369822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"198","issue":"1","first_page":"443","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976999759674072,"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":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.8558458685874939},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7429245710372925},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.7234500646591187},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6758312582969666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6146777272224426},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.5605681538581848},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5433036684989929},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5420269966125488},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5128986835479736},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.4914969205856323},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48274892568588257},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.4483262598514557},{"id":"https://openalex.org/keywords/weak-duality","display_name":"Weak duality","score":0.4437383711338043},{"id":"https://openalex.org/keywords/perturbation-function","display_name":"Perturbation function","score":0.41354793310165405},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3626614212989807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3508988916873932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24302363395690918},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.2382691502571106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22152745723724365},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.201948881149292},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.17279908061027527},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.15825167298316956},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.13055220246315002},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.059739142656326294}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8558458685874939},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7429245710372925},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.7234500646591187},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6758312582969666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6146777272224426},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.5605681538581848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5433036684989929},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5420269966125488},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5128986835479736},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.4914969205856323},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48274892568588257},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4483262598514557},{"id":"https://openalex.org/C80682859","wikidata":"https://www.wikidata.org/wiki/Q7977943","display_name":"Weak duality","level":4,"score":0.4437383711338043},{"id":"https://openalex.org/C102144036","wikidata":"https://www.wikidata.org/wiki/Q7170952","display_name":"Perturbation function","level":5,"score":0.41354793310165405},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3626614212989807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3508988916873932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24302363395690918},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2382691502571106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22152745723724365},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.201948881149292},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.17279908061027527},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.15825167298316956},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.13055220246315002},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.059739142656326294},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-022-01779-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01779-7","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"},{"id":"pmh:oai:arXiv.org:1812.10198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.10198","pdf_url":"https://arxiv.org/pdf/1812.10198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"mag:3008575487","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1812.10198.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1812.10198","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.10198","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.10198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.10198","pdf_url":"https://arxiv.org/pdf/1812.10198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W905619","https://openalex.org/W182881619","https://openalex.org/W205960364","https://openalex.org/W1505731132","https://openalex.org/W1553702074","https://openalex.org/W1985240368","https://openalex.org/W2016384870","https://openalex.org/W2030161963","https://openalex.org/W2076095618","https://openalex.org/W2090376964","https://openalex.org/W2097460613","https://openalex.org/W2100556411","https://openalex.org/W2124450277","https://openalex.org/W2140180727","https://openalex.org/W2153749284","https://openalex.org/W2167732364","https://openalex.org/W2281625358","https://openalex.org/W2505972737","https://openalex.org/W2535496140","https://openalex.org/W2551153860","https://openalex.org/W2753339894","https://openalex.org/W2763081248","https://openalex.org/W2766153148","https://openalex.org/W2772443375","https://openalex.org/W2800693632","https://openalex.org/W2804257923","https://openalex.org/W2884013408","https://openalex.org/W2885777113","https://openalex.org/W2905950575","https://openalex.org/W2962706047","https://openalex.org/W2962726098","https://openalex.org/W2963169123","https://openalex.org/W2963681631","https://openalex.org/W2964093568","https://openalex.org/W2964102336","https://openalex.org/W2964177174","https://openalex.org/W2989762492","https://openalex.org/W3140735157","https://openalex.org/W3156012899","https://openalex.org/W4229650096","https://openalex.org/W4253214256","https://openalex.org/W4302155765"],"related_works":["https://openalex.org/W2800693632","https://openalex.org/W2551153860","https://openalex.org/W2535496140","https://openalex.org/W2033468335","https://openalex.org/W3163932004","https://openalex.org/W2027445028","https://openalex.org/W3012129038","https://openalex.org/W2147701470","https://openalex.org/W2164224215","https://openalex.org/W3106943118","https://openalex.org/W3081731657","https://openalex.org/W2945578891","https://openalex.org/W2021075623","https://openalex.org/W2887987015","https://openalex.org/W2018094386","https://openalex.org/W2949418177","https://openalex.org/W1980796089","https://openalex.org/W2953340599","https://openalex.org/W2529586764","https://openalex.org/W2009467175"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
