{"id":"https://openalex.org/W3012947040","doi":"https://doi.org/10.23919/acc45564.2020.9147407","title":"On the Set of Possible Minimizers of a Sum of Known and Unknown Functions","display_name":"On the Set of Possible Minimizers of a Sum of Known and Unknown Functions","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3012947040","doi":"https://doi.org/10.23919/acc45564.2020.9147407","mag":"3012947040"},"language":"en","primary_location":{"id":"doi:10.23919/acc45564.2020.9147407","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.09035","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019598276","display_name":"Kananart Kuwaranancharoen","orcid":"https://orcid.org/0000-0002-0769-1399"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kananart Kuwaranancharoen","raw_affiliation_strings":["School of Electrical and Computer Engineering, Purdue University","PURDUE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Purdue University","institution_ids":[]},{"raw_affiliation_string":"PURDUE UNIVERSITY","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076731201","display_name":"Shreyas Sundaram","orcid":"https://orcid.org/0000-0002-5390-2505"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shreyas Sundaram","raw_affiliation_strings":["School of Electrical and Computer Engineering, Purdue University","PURDUE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Purdue University","institution_ids":[]},{"raw_affiliation_string":"PURDUE UNIVERSITY","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0802005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"106","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"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":0.9973000288009644,"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":0.994700014591217,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/convexity","display_name":"Convexity","score":0.8257577419281006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7143336534500122},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5746721625328064},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5577874183654785},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.522811770439148},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5014297962188721},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.47553300857543945},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46289554238319397},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40962088108062744},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3892887234687805},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35388708114624023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18142008781433105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17506682872772217},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.054865628480911255}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8257577419281006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7143336534500122},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5746721625328064},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5577874183654785},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.522811770439148},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5014297962188721},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.47553300857543945},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46289554238319397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40962088108062744},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3892887234687805},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35388708114624023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18142008781433105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17506682872772217},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.054865628480911255},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/acc45564.2020.9147407","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2003.09035","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.09035","pdf_url":"https://arxiv.org/pdf/2003.09035","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"mag:3012947040","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2003.09035","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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.2003.09035","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.09035","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.09035","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.09035","pdf_url":"https://arxiv.org/pdf/2003.09035","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3012947040.pdf","grobid_xml":"https://content.openalex.org/works/W3012947040.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1602659231","https://openalex.org/W1968411139","https://openalex.org/W1970412155","https://openalex.org/W1977320859","https://openalex.org/W1978956894","https://openalex.org/W2018944748","https://openalex.org/W2089105401","https://openalex.org/W2100556411","https://openalex.org/W2112507308","https://openalex.org/W2126998183","https://openalex.org/W2131116400","https://openalex.org/W2156909104","https://openalex.org/W2164278908","https://openalex.org/W2494670408","https://openalex.org/W2798500587","https://openalex.org/W2961703895","https://openalex.org/W2963324530","https://openalex.org/W2963333308","https://openalex.org/W2964121744","https://openalex.org/W3045745512","https://openalex.org/W3102002161","https://openalex.org/W4292363360","https://openalex.org/W6631190155","https://openalex.org/W6676935882"],"related_works":["https://openalex.org/W3045745512","https://openalex.org/W2798294685","https://openalex.org/W2007269130","https://openalex.org/W2362928234","https://openalex.org/W1989562759","https://openalex.org/W1012753452","https://openalex.org/W2841275796","https://openalex.org/W3180405152","https://openalex.org/W1521807376","https://openalex.org/W243064031","https://openalex.org/W2950125290","https://openalex.org/W3197920576","https://openalex.org/W2131568080","https://openalex.org/W2899950845","https://openalex.org/W1984273780","https://openalex.org/W2287995832","https://openalex.org/W2370081182","https://openalex.org/W2751917641","https://openalex.org/W3044707062","https://openalex.org/W2055346789"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,6,9,17,22,34,50,68,91,115,118,137,140],"finding":[3],"the":[4,15,32,35,39,46,51,55,66,69,92,110,113,116,130,134,138,141,148,152],"minimizer":[5,28,67,114,139],"a":[7,63,89,97,156],"sum":[8,56,117],"convex":[10],"functions":[11,37,53],"is":[12,21,29,57,72,144,155],"central":[13],"to":[14,24,31,104],"field":[16],"optimization.":[18],"Thus,":[19],"it":[20],"interest":[23],"understand":[25],"how":[26],"that":[27],"related":[30],"properties":[33],"individual":[36,52],"in":[38,54,128,147],"sum.":[40],"In":[41],"this":[42,85,125],"paper,":[43],"we":[44,95],"consider":[45],"scenario":[47],"where":[48,133,151],"one":[49],"not":[58],"known":[59,119],"completely.":[60],"Instead,":[61],"only":[62],"region":[64,111,136,154],"containing":[65,112],"unknown":[70,121,142],"function":[71,143],"known,":[73],"along":[74],"with":[75],"some":[76],"general":[77,131],"characteristics":[78],"(such":[79],"as":[80],"strong":[81],"convexity":[82],"parameters).":[83],"Given":[84],"limited":[86],"information":[87],"about":[88],"portion":[90],"overall":[93],"function,":[94],"provide":[96,124],"necessary":[98,126],"condition":[99,127],"which":[100],"can":[101],"be":[102],"used":[103],"construct":[105],"an":[106],"upper":[107],"bound":[108],"on":[109],"and":[120,146],"functions.":[122],"We":[123],"both":[129],"case":[132,150],"uncertainty":[135,153],"arbitrary,":[145],"specific":[149],"ball.":[157]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2022-07-26T00:00:00"}