{"id":"https://openalex.org/W3174751558","doi":"https://doi.org/10.1137/20m1373517","title":"Moreau Envelope of Supremum Functions with Applications to Infinite and Stochastic Programming","display_name":"Moreau Envelope of Supremum Functions with Applications to Infinite and Stochastic Programming","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3174751558","doi":"https://doi.org/10.1137/20m1373517","mag":"3174751558"},"language":"en","primary_location":{"id":"doi:10.1137/20m1373517","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1373517","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5044297986","display_name":"Pedro P\u00e9rez-Aros","orcid":"https://orcid.org/0000-0002-8756-3011"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pedro P\u00e9rez-Aros","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8756-3011","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003500683","display_name":"Emilio Vilches","orcid":"https://orcid.org/0000-0002-4387-9313"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Emilio Vilches","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4387-9313","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3467,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.61810113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"3","first_page":"1635","last_page":"1657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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/T10969","display_name":"Water resources management and optimization","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.9681719541549683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8230321407318115},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.677513837814331},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5280003547668457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5091924071311951},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4921573996543884},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4381941854953766},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.43790942430496216},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39603716135025024},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29506683349609375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11551216244697571}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.9681719541549683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8230321407318115},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.677513837814331},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5280003547668457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5091924071311951},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4921573996543884},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4381941854953766},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.43790942430496216},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39603716135025024},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29506683349609375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11551216244697571},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1373517","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1373517","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4786324315","display_name":null,"funder_award_id":"1200283","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G8024461642","display_name":null,"funder_award_id":"1190110","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G821343987","display_name":null,"funder_award_id":"11180098","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1953936588","https://openalex.org/W1968355947","https://openalex.org/W1998611061","https://openalex.org/W2019794879","https://openalex.org/W2069374819","https://openalex.org/W2114397143","https://openalex.org/W2119303899","https://openalex.org/W2125417745","https://openalex.org/W2401928574","https://openalex.org/W2536563272","https://openalex.org/W2591414248","https://openalex.org/W2626014635","https://openalex.org/W2804571214","https://openalex.org/W2887469404","https://openalex.org/W2911593290","https://openalex.org/W2962921834"],"related_works":["https://openalex.org/W2953175190","https://openalex.org/W4288318511","https://openalex.org/W2257286100","https://openalex.org/W2099602951","https://openalex.org/W2784344684","https://openalex.org/W2562705109","https://openalex.org/W4283118620","https://openalex.org/W2098184873","https://openalex.org/W427674437","https://openalex.org/W3153752017"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,24,59,73],"investigate":[4],"the":[5,9,27,34,54,82],"Moreau":[6,28,37],"envelope":[7,29],"of":[8,11,14,30,36,56,84],"supremum":[10,32,35,46],"a":[12,31],"family":[13],"convex,":[15],"proper,":[16],"and":[17,61,68,78],"lower":[18],"semicontinuous":[19],"functions.":[20,57],"Under":[21],"mild":[22],"assumptions,":[23],"prove":[25],"that":[26,51],"is":[33],"envelopes,":[38],"which":[39,72],"allows":[40],"us":[41],"to":[42],"approximate":[43],"possibly":[44],"nonsmooth":[45],"functions":[47,50],"by":[48],"smooth":[49],"are":[52],"also":[53],"suprema":[55],"Consequently,":[58],"propose":[60],"study":[62],"approximated":[63],"optimization":[64],"problems":[65],"from":[66],"infinite":[67],"stochastic":[69],"programming":[70],"for":[71],"obtain":[74],"zero-duality":[75],"gap":[76],"results":[77],"optimality":[79],"conditions":[80],"without":[81],"verification":[83],"constraint":[85],"qualification":[86],"conditions.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
