{"id":"https://openalex.org/W4380451012","doi":"https://doi.org/10.1109/lcsys.2023.3285778","title":"Learning for Online Mixed-Integer Model Predictive Control With Parametric Optimality Certificates","display_name":"Learning for Online Mixed-Integer Model Predictive Control With Parametric Optimality Certificates","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4380451012","doi":"https://doi.org/10.1109/lcsys.2023.3285778"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3285778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3285778","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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/A5100624251","display_name":"Luigi Russo","orcid":"https://orcid.org/0009-0002-7800-1858"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luigi Russo","raw_affiliation_strings":["Department of Engineering, Università del Sannio, Benevento, Italy"],"raw_orcid":"https://orcid.org/0009-0002-7800-1858","affiliations":[{"raw_affiliation_string":"Department of Engineering, Università del Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089178972","display_name":"Siddharth H. Nair","orcid":"https://orcid.org/0000-0002-9011-8189"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siddharth H. Nair","raw_affiliation_strings":["Model Predictive Control Lab, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9011-8189","affiliations":[{"raw_affiliation_string":"Model Predictive Control Lab, University of California at Berkeley, Berkeley, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011562075","display_name":"Luigi Glielmo","orcid":"https://orcid.org/0000-0003-2753-1787"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luigi Glielmo","raw_affiliation_strings":["Department of Electrical Engineering and Information Technologies, Università di Napoli Federico II, Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2753-1787","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Information Technologies, Università di Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025067440","display_name":"Francesco Borrelli","orcid":"https://orcid.org/0000-0001-8919-6430"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesco Borrelli","raw_affiliation_strings":["Model Predictive Control Lab, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-8919-6430","affiliations":[{"raw_affiliation_string":"Model Predictive Control Lab, University of California at Berkeley, Berkeley, CA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5488,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8257165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"2215","last_page":"2220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11236","display_name":"Control Systems and Identification","score":0.9677000045776367,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/integer-programming","display_name":"Integer programming","score":0.7225310206413269},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6430215835571289},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6233672499656677},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6157857179641724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6150526404380798},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6070379614830017},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5367644429206848},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5251916646957397},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.49460741877555847},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49339762330055237},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4825093746185303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3420388698577881},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32336780428886414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3076437711715698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24042454361915588}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7225310206413269},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6430215835571289},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6233672499656677},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6157857179641724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6150526404380798},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6070379614830017},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5367644429206848},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5251916646957397},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.49460741877555847},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49339762330055237},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4825093746185303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3420388698577881},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32336780428886414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3076437711715698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24042454361915588},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2023.3285778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3285778","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5099999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1605729888","https://openalex.org/W2014328192","https://openalex.org/W2016211524","https://openalex.org/W2023599497","https://openalex.org/W2129516068","https://openalex.org/W2566079294","https://openalex.org/W2609017172","https://openalex.org/W2749680651","https://openalex.org/W2953880153","https://openalex.org/W2968192014","https://openalex.org/W3095839831","https://openalex.org/W3105161877","https://openalex.org/W3156194210","https://openalex.org/W4200247316","https://openalex.org/W4205727321","https://openalex.org/W4205898582","https://openalex.org/W4255202267","https://openalex.org/W4321854609","https://openalex.org/W4388692454","https://openalex.org/W6838554315","https://openalex.org/W6850159894"],"related_works":["https://openalex.org/W4385248312","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972"],"abstract_inverted_index":{"We":[0,99],"propose":[1],"a":[2,41,49,53,58,70,92,104],"supervised":[3],"learning":[4],"framework":[5],"for":[6,27,48,103],"computing":[7],"solutions":[8],"of":[9,56,60,72,76,94],"multi-parametric":[10],"Mixed":[11],"Integer":[12],"Linear":[13,61],"Programs":[14,62],"(MILPs)":[15],"that":[16,65],"arise":[17],"in":[18,97],"Model":[19],"Predictive":[20],"Control.":[21],"Our":[22],"approach":[23,102],"also":[24],"quantifies":[25],"sub-optimality":[26,88],"the":[28,35,73,77],"computed":[29],"solutions.":[30],"Inspired":[31],"by":[32],"Branch-and-Bound":[33],"techniques,":[34],"key":[36],"idea":[37],"is":[38],"to":[39],"train":[40],"Neural":[42],"Network":[43],"or":[44],"Random":[45],"Forest":[46],"which,":[47],"given":[50],"parameter,":[51],"predicts":[52],"strategy":[54],"consisting":[55],"(1)":[57],"set":[59,75,93],"(LPs)":[63],"such":[64],"their":[66],"feasible":[67,74],"sets":[68],"form":[69],"partition":[71],"MILP":[78],"and":[79,87,108,113],"(2)":[80],"an":[81],"integer":[82],"solution.":[83],"For":[84],"control":[85],"computation":[86],"quantification,":[89],"we":[90],"solve":[91],"LPs":[95],"online":[96],"parallel.":[98],"demonstrate":[100],"our":[101],"motion":[105],"planning":[106],"example":[107],"compare":[109],"against":[110],"various":[111],"commercial":[112],"open-source":[114],"mixed-integer":[115],"programming":[116],"solvers.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}