{"id":"https://openalex.org/W3212208211","doi":"https://doi.org/10.1007/978-3-031-06901-7_20","title":"SOCP-Based Disjunctive Cuts for\u00a0a\u00a0Class of\u00a0Integer Nonlinear Bilevel Programs","display_name":"SOCP-Based Disjunctive Cuts for\u00a0a\u00a0Class of\u00a0Integer Nonlinear Bilevel Programs","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3212208211","doi":"https://doi.org/10.1007/978-3-031-06901-7_20","mag":"3212208211"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-06901-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-06901-7_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-031-06901-7_20","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004179480","display_name":"Elisabeth Gaar","orcid":"https://orcid.org/0000-0002-1643-6066"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Elisabeth Gaar","raw_affiliation_strings":["Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0002-1643-6066","affiliations":[{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031373908","display_name":"Jon Lee","orcid":"https://orcid.org/0000-0002-8190-1091"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jon Lee","raw_affiliation_strings":["University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-8190-1091","affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009286436","display_name":"Ivana Ljubi\u0107","orcid":"https://orcid.org/0000-0002-4834-6284"},"institutions":[{"id":"https://openalex.org/I124261006","display_name":"\u00c9cole Sup\u00e9rieure des Sciences \u00c9conomiques et Commerciales","ror":"https://ror.org/02dga6j42","country_code":"FR","type":"other","lineage":["https://openalex.org/I124261006"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ivana Ljubi\u0107","raw_affiliation_strings":["ESSEC Business School of Paris, Cergy, France"],"raw_orcid":"https://orcid.org/0000-0002-4834-6284","affiliations":[{"raw_affiliation_string":"ESSEC Business School of Paris, Cergy, France","institution_ids":["https://openalex.org/I124261006","https://openalex.org/I4210142324"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030387525","display_name":"Markus Sinnl","orcid":"https://orcid.org/0000-0003-1439-8702"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Markus Sinnl","raw_affiliation_strings":["Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria","JKU Business School, Johannes Kepler University Linz, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0003-1439-8702","affiliations":[{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"JKU Business School, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015854742","display_name":"K\u00fcbra Tan\u0131nm\u0131\u015f","orcid":"https://orcid.org/0000-0003-1081-4182"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"K\u00fcbra Tan\u0131nm\u0131\u015f","raw_affiliation_strings":["Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0003-1081-4182","affiliations":[{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5004179480"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00440933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"262","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9857000112533569,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9750999808311462,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.8179905414581299},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.7120028138160706},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6555933952331543},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6551619172096252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5889685153961182},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.577796220779419},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5735384225845337},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5393007397651672},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.5286422371864319},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5042523145675659},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5031446814537048},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.4731910228729248},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4429793357849121},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4384247362613678},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.3833937346935272},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3057337701320648},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2953220009803772},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.28968027234077454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10928177833557129},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0885671079158783}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8179905414581299},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.7120028138160706},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6555933952331543},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6551619172096252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5889685153961182},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.577796220779419},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5735384225845337},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5393007397651672},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.5286422371864319},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5042523145675659},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5031446814537048},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.4731910228729248},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4429793357849121},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4384247362613678},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.3833937346935272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3057337701320648},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2953220009803772},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.28968027234077454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10928177833557129},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0885671079158783},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-031-06901-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-06901-7_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2111.06824","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.06824","pdf_url":"https://arxiv.org/pdf/2111.06824","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:3212208211","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2111.06824.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"pmh:oai:uni-augsburg.opus-bayern.de:112159","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/112159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conferenceobject"},{"id":"doi:10.48550/arxiv.2111.06824","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2111.06824","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-06901-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-06901-7_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1723658631","https://openalex.org/W1971796369","https://openalex.org/W1977649329","https://openalex.org/W2010701510","https://openalex.org/W2014475612","https://openalex.org/W2022954527","https://openalex.org/W2042403815","https://openalex.org/W2045089402","https://openalex.org/W2050324516","https://openalex.org/W2056831000","https://openalex.org/W2072408036","https://openalex.org/W2075856892","https://openalex.org/W2079384027","https://openalex.org/W2091157695","https://openalex.org/W2134251449","https://openalex.org/W2148847682","https://openalex.org/W2157030448","https://openalex.org/W2162467101","https://openalex.org/W2462361599","https://openalex.org/W2605397371","https://openalex.org/W2737460467","https://openalex.org/W2739297732","https://openalex.org/W2754261171","https://openalex.org/W2756033884","https://openalex.org/W2802707468","https://openalex.org/W2886518978","https://openalex.org/W2896302111","https://openalex.org/W2906191919","https://openalex.org/W2951543070","https://openalex.org/W2963306862","https://openalex.org/W2996868548","https://openalex.org/W3022720331","https://openalex.org/W3035707814","https://openalex.org/W3038086788","https://openalex.org/W3094549007","https://openalex.org/W3122394985","https://openalex.org/W3126901467","https://openalex.org/W3129003972","https://openalex.org/W3156469768","https://openalex.org/W3156661518","https://openalex.org/W3157498319","https://openalex.org/W3162651815","https://openalex.org/W4221015540","https://openalex.org/W4231143303","https://openalex.org/W4235585108","https://openalex.org/W4253741566"],"related_works":["https://openalex.org/W2770478654","https://openalex.org/W1998209152","https://openalex.org/W2138865117","https://openalex.org/W2379903568","https://openalex.org/W2938240794","https://openalex.org/W200091770","https://openalex.org/W2188011623","https://openalex.org/W2772578476","https://openalex.org/W2044587299","https://openalex.org/W1964713924","https://openalex.org/W964269113","https://openalex.org/W2166797227","https://openalex.org/W2276431609","https://openalex.org/W2024522625","https://openalex.org/W2299561453","https://openalex.org/W2012078768","https://openalex.org/W2011661879","https://openalex.org/W2301782415","https://openalex.org/W3125319568","https://openalex.org/W2024753861"],"abstract_inverted_index":{"We":[0,28,92],"study":[1,97,119],"a":[2,17,38,70,80,94,110,126,140,153],"class":[3,76],"of":[4,45,60,143],"bilevel":[5,34,62,132],"integer":[6],"programs":[7,134],"with":[8,88,100],"second-order":[9,102],"cone":[10,103],"constraints":[11,23,104],"at":[12,24,105,114],"the":[13,25,43,50,58,74,85,106,115,148],"upper":[14,107],"level":[15,108],"and":[16,21,79,109],"convex":[18],"quadratic":[19],"objective":[20],"linear":[22,112,133],"lower":[26,116],"level.":[27,117],"develop":[29],"disjunctive":[30,53,66],"cuts":[31,54],"to":[32,138],"separate":[33],"infeasible":[35],"points":[36],"using":[37],"second-order-cone-based":[39],"cut-generating":[40],"procedure.":[41],"To":[42],"best":[44],"our":[46,123,144],"knowledge,":[47],"this":[48],"is":[49,136],"first":[51],"time":[52],"are":[55,150],"studied":[56],"in":[57,152],"context":[59],"discrete":[61],"optimization.":[63],"Using":[64],"these":[65],"cuts,":[67],"we":[68,77],"establish":[69],"branch-and-cut":[71],"algorithm":[72],"for":[73,84,130],"problem":[75,86],"study,":[78],"cutting":[81],"plane":[82],"method":[83],"variant":[87],"only":[89],"binary":[90],"variables.":[91],"present":[93],"preliminary":[95],"computational":[96],"on":[98],"instances":[99],"no":[101],"single":[111],"constraint":[113],"Our":[118],"demonstrates":[120],"that":[121,135],"both":[122],"approaches":[124],"outperform":[125],"state-of-the-art":[127],"generic":[128],"solver":[129],"mixed-integer":[131],"able":[137],"solve":[139],"linearized":[141,151],"version":[142],"test":[145],"instances,":[146],"where":[147],"non-linearities":[149],"McCormick":[154],"fashion.":[155]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
