{"id":"https://openalex.org/W2737649426","doi":"https://doi.org/10.1109/med.2017.7984306","title":"Regularized moving-horizon piecewise affine regression using mixed-integer quadratic programming","display_name":"Regularized moving-horizon piecewise affine regression using mixed-integer quadratic programming","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2737649426","doi":"https://doi.org/10.1109/med.2017.7984306","mag":"2737649426"},"language":"en","primary_location":{"id":"doi:10.1109/med.2017.7984306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2017.7984306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-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/A5090203890","display_name":"Vihangkumar V. Naik","orcid":"https://orcid.org/0000-0002-2214-8052"},"institutions":[{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Vihangkumar V. Naik","raw_affiliation_strings":["IMT School for Advanced Studies Lucca, Lucca, Italy"],"affiliations":[{"raw_affiliation_string":"IMT School for Advanced Studies Lucca, Lucca, Italy","institution_ids":["https://openalex.org/I127077003"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029744897","display_name":"Manas Mejari","orcid":"https://orcid.org/0000-0002-0641-1156"},"institutions":[{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Manas Mejari","raw_affiliation_strings":["IMT School for Advanced Studies Lucca, Lucca, Italy"],"affiliations":[{"raw_affiliation_string":"IMT School for Advanced Studies Lucca, Lucca, Italy","institution_ids":["https://openalex.org/I127077003"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046585507","display_name":"Dario Piga","orcid":"https://orcid.org/0000-0001-7691-4886"},"institutions":[{"id":"https://openalex.org/I2614128279","display_name":"Dalle Molle Institute for Artificial Intelligence Research","ror":"https://ror.org/013355g38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I15196421","https://openalex.org/I2614128279","https://openalex.org/I57201433"]},{"id":"https://openalex.org/I15196421","display_name":"University of Applied Sciences and Arts of Southern Switzerland","ror":"https://ror.org/05ep8g269","country_code":"CH","type":"education","lineage":["https://openalex.org/I15196421"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Dario Piga","raw_affiliation_strings":["IDSIA Dalle Molle Institute for Artificial Intelligence SUPSI-USI, Manno, Switzerland"],"affiliations":[{"raw_affiliation_string":"IDSIA Dalle Molle Institute for Artificial Intelligence SUPSI-USI, Manno, Switzerland","institution_ids":["https://openalex.org/I2614128279","https://openalex.org/I15196421"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053340099","display_name":"Alberto Bemporad","orcid":"https://orcid.org/0000-0001-6761-0856"},"institutions":[{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Bemporad","raw_affiliation_strings":["IMT School for Advanced Studies Lucca, Lucca, Italy"],"affiliations":[{"raw_affiliation_string":"IMT School for Advanced Studies Lucca, Lucca, Italy","institution_ids":["https://openalex.org/I127077003"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090203890"],"corresponding_institution_ids":["https://openalex.org/I127077003"],"apc_list":null,"apc_paid":null,"fwci":2.022,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87218586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":null,"first_page":"1349","last_page":"1354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9983000159263611,"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/T11236","display_name":"Control Systems and Identification","score":0.9983000159263611,"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":0.9944999814033508,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9872000217437744,"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/piecewise","display_name":"Piecewise","score":0.5520954132080078},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5499908924102783},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.5474973917007446},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5115817189216614},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5086458921432495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5026707649230957},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.49901795387268066},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4968738853931427},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4743208587169647},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42168763279914856},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4185383915901184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.391406387090683},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20187941193580627}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5520954132080078},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5499908924102783},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.5474973917007446},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5115817189216614},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5086458921432495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5026707649230957},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.49901795387268066},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4968738853931427},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4743208587169647},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42168763279914856},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4185383915901184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.391406387090683},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20187941193580627},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/med.2017.7984306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2017.7984306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1574362717","https://openalex.org/W1964409440","https://openalex.org/W1971912051","https://openalex.org/W1977918122","https://openalex.org/W1977985274","https://openalex.org/W1981832695","https://openalex.org/W1982060317","https://openalex.org/W1992283848","https://openalex.org/W1993914061","https://openalex.org/W2007093507","https://openalex.org/W2023599497","https://openalex.org/W2026693824","https://openalex.org/W2084029701","https://openalex.org/W2086306688","https://openalex.org/W2095838877","https://openalex.org/W2112027492","https://openalex.org/W2118139512","https://openalex.org/W2138353699","https://openalex.org/W2511918263","https://openalex.org/W2562854303","https://openalex.org/W2571827266","https://openalex.org/W2766402182","https://openalex.org/W6634386852","https://openalex.org/W6745311974"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2906267174","https://openalex.org/W3208509670","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W134501823","https://openalex.org/W2615656344"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,25,50,60,132],"novel":[4],"two-stage":[5],"regularized":[6],"moving-horizon":[7,61],"algorithm":[8],"for":[9],"PieceWise":[10],"Affine":[11],"(PWA)":[12],"regression.":[13],"At":[14,120],"the":[15,18,34,40,46,56,64,68,77,85,92,98,101,111,116,121,136,141],"first":[16],"stage,":[17,123],"training":[19,47,113],"samples":[20],"are":[21,128],"processed":[22,81],"iteratively,":[23],"and":[24,39,76],"Mixed-Integer":[26],"Quadratic-Programming":[27],"(MIQP)":[28],"problem":[29],"is":[30,74,80,95],"solved":[31],"to":[32,59,105,130],"find":[33],"sequence":[35,70,143],"of":[36,67,71,100,135,144],"active":[37,72,145],"modes":[38,73],"model":[41,93],"parameters":[42,94],"which":[43],"best":[44],"match":[45],"data,":[48],"within":[49],"relatively":[51],"short":[52],"time":[53,118],"window":[54],"in":[55,97],"past.":[57],"According":[58],"strategy,":[62],"only":[63],"last":[65],"element":[66],"optimal":[69],"kept,":[75],"next":[78],"sample":[79],"by":[82],"shifting":[83],"forward":[84],"estimation":[86],"horizon.":[87,119],"A":[88],"regularization":[89],"term":[90],"on":[91,140],"included":[96],"cost":[99],"formulated":[102],"MIQP":[103],"problem,":[104],"partly":[106],"take":[107],"into":[108],"account":[109],"also":[110],"past":[112],"data":[114],"outside":[115],"considered":[117],"second":[122],"linear":[124],"multi-category":[125],"discrimination":[126],"techniques":[127],"used":[129],"compute":[131],"polyhedral":[133],"partition":[134],"regressor":[137],"space":[138],"based":[139],"estimated":[142],"modes.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":7},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}