{"id":"https://openalex.org/W4315488912","doi":"https://doi.org/10.1109/cdc51059.2022.9993070","title":"Solving Least Squares Problems on Partially Ordered Sets","display_name":"Solving Least Squares Problems on Partially Ordered Sets","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315488912","doi":"https://doi.org/10.1109/cdc51059.2022.9993070"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9993070","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9993070","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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/A5007798248","display_name":"Alexandre Amice","orcid":"https://orcid.org/0000-0002-3955-9560"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexandre Amice","raw_affiliation_strings":["Massachusetts Institute of Technology,Laboratory for Information and Decision Systems","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Laboratory for Information and Decision Systems","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031935416","display_name":"Pablo A. Parrilo","orcid":"https://orcid.org/0000-0003-1132-8477"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pablo A. Parrilo","raw_affiliation_strings":["Massachusetts Institute of Technology,Laboratory for Information and Decision Systems","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Laboratory for Information and Decision Systems","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007798248"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5014","last_page":"5021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9977999925613403,"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":0.9977999925613403,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9945999979972839,"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/T10142","display_name":"Formal Methods in Verification","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.9362025260925293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6542704701423645},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6516557931900024},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5761246681213379},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.522763729095459},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5214078426361084},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43685290217399597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2498384714126587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.058334529399871826}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9362025260925293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6542704701423645},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6516557931900024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5761246681213379},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.522763729095459},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5214078426361084},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43685290217399597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2498384714126587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.058334529399871826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":1,"locations":[{"id":"doi:10.1109/cdc51059.2022.9993070","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9993070","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1504294293","https://openalex.org/W1511161972","https://openalex.org/W1520511539","https://openalex.org/W2015472668","https://openalex.org/W2054812154","https://openalex.org/W2068155564","https://openalex.org/W2080695518","https://openalex.org/W2113789941","https://openalex.org/W2138966161","https://openalex.org/W2141025928","https://openalex.org/W2153916202","https://openalex.org/W2165894964","https://openalex.org/W2237822323","https://openalex.org/W2935277128","https://openalex.org/W2949975756","https://openalex.org/W3101657866","https://openalex.org/W3102887559","https://openalex.org/W3103356334","https://openalex.org/W4254016710"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W1963087247","https://openalex.org/W4312224320","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W2146274131","https://openalex.org/W2184328455","https://openalex.org/W2073211194","https://openalex.org/W2181347939"],"abstract_inverted_index":{"We":[0,34],"study":[1],"a":[2,11,18,44,53,88],"general":[3],"class":[4,90],"of":[5,25,40,60,91,119],"least-squares":[6],"problems":[7],"structured":[8,26,45],"according":[9,103],"to":[10,79,104],"partially":[12],"ordered":[13],"set":[14],"(poset).":[15],"This":[16],"is":[17],"fundamental":[19],"optimization":[20],"problem":[21,42],"underlying":[22],"the":[23,37,58,109,116,121],"design":[24],"controllers":[27],"on":[28],"directed":[29],"acyclic":[30],"graphs":[31],"or":[32],"posets.":[33],"show":[35,99],"that":[36,100],"optimality":[38],"conditions":[39],"this":[41,64],"yield":[43],"linear":[46,74],"system,":[47],"with":[48],"sparsity":[49],"pattern":[50],"determined":[51],"by":[52,108],"derived":[54],"poset":[55,59,110],"known":[56],"as":[57],"intervals.":[61],"In":[62],"general,":[63],"system":[65],"could":[66],"be":[67],"relatively":[68],"dense,":[69],"and":[70],"thus":[71],"standard":[72],"sparse":[73],"algebra":[75],"techniques":[76],"may":[77],"fail":[78],"provide":[80],"significant":[81],"reduction":[82],"in":[83,96],"computational":[84],"complexity.":[85],"Nonetheless,":[86],"for":[87],"broad":[89],"posets":[92],"called":[93],"multitrees":[94],"identified":[95],"[1]":[97],"we":[98],"performing":[101],"elimination":[102],"an":[105],"order":[106],"defined":[107],"intervals":[111],"progressively":[112],"decouples":[113],"variables,":[114],"reducing":[115],"arithmetic":[117],"complexity":[118],"solving":[120],"problem.":[122]},"counts_by_year":[],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
