{"id":"https://openalex.org/W7128775798","doi":"https://doi.org/10.48550/arxiv.2602.11164","title":"Automated Optimization Modeling via a Localizable Error-Driven Perspective","display_name":"Automated Optimization Modeling via a Localizable Error-Driven Perspective","publication_year":2026,"publication_date":"2026-01-17","ids":{"openalex":"https://openalex.org/W7128775798","doi":"https://doi.org/10.48550/arxiv.2602.11164"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.11164","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125967980","display_name":"Weiting Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu, Weiting","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125978139","display_name":"Han Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Han","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075381689","display_name":"Yufei Kuang","orcid":"https://orcid.org/0009-0000-2483-3638"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kuang, Yufei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125979054","display_name":"Xiongwei Han","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Han, Xiongwei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125966016","display_name":"Tao Zhong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhong, Tao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Feng, Jianfeng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Feng, Jianfeng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100813034","display_name":"Wenlian Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu, Wenlian","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5125967980"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.20029999315738678,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.20029999315738678,"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"}},{"id":"https://openalex.org/T12535","display_name":"Machine Learning and Data Classification","score":0.19220000505447388,"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"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.0551999993622303,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/perspective","display_name":"Perspective (graphical)","score":0.6744999885559082},{"id":"https://openalex.org/keywords/profiling","display_name":"Profiling (computer programming)","score":0.5234000086784363},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4377000033855438},{"id":"https://openalex.org/keywords/training-set","display_name":"Training set","score":0.3698999881744385},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3490999937057495},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.3156999945640564},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.29269999265670776}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7872999906539917},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6744999885559082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6276000142097473},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.6189000010490417},{"id":"https://openalex.org/C187191949","wikidata":"https://www.wikidata.org/wiki/Q1138496","display_name":"Profiling (computer programming)","level":2,"score":0.5234000086784363},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4377000033855438},{"id":"https://openalex.org/C51632099","wikidata":"https://www.wikidata.org/wiki/Q3985153","display_name":"Training set","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3490999937057495},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C179603123","wikidata":"https://www.wikidata.org/wiki/Q1941921","display_name":"Modeling language","level":3,"score":0.28870001435279846},{"id":"https://openalex.org/C109747225","wikidata":"https://www.wikidata.org/wiki/Q815758","display_name":"Scarcity","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C136389625","wikidata":"https://www.wikidata.org/wiki/Q334384","display_name":"Supervised learning","level":3,"score":0.28060001134872437},{"id":"https://openalex.org/C137293760","wikidata":"https://www.wikidata.org/wiki/Q3621696","display_name":"Language model","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.26510000228881836},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.11164","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.11164","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.11164","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"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.11164","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7789133191108704}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Automated":[0],"optimization":[1,70,156,226],"modeling":[2,71,160,227],"via":[3,121],"Large":[4],"Language":[5],"Models":[6],"(LLMs)":[7],"has":[8,21],"emerged":[9],"as":[10,185],"a":[11,23,49,111,122,193],"promising":[12],"approach":[13],"to":[14,26,138,165,180,206],"assist":[15],"complex":[16],"human":[17],"decision-making.":[18],"While":[19],"post-training":[20,100],"become":[22],"pivotal":[24],"technique":[25],"enhance":[27],"LLMs'":[28],"capabilities":[29],"in":[30,95,98,152,178],"this":[31],"domain,":[32],"its":[33],"effectiveness":[34],"is":[35,141],"severely":[36],"constrained":[37],"by":[38],"the":[39,74,81,105,130,148,174,190,223],"scarcity":[40],"and":[41,79,169,198],"underutilization":[42],"of":[43,52,67,76,147,155,192],"high-quality":[44],"training":[45,133,196],"data.":[46],"However,":[47],"through":[48,210],"detailed":[50],"profiling":[51],"error":[53,153],"patterns":[54,151],"across":[55],"various":[56],"problem-response":[57],"pairs":[58],"drawn":[59],"from":[60,135],"post-training,":[61],"we":[62,109],"identify":[63],"two":[64,107],"fundamental":[65],"limitations":[66,92],"existing":[68],"automated":[69,225],"approaches:":[72],"(L1)":[73],"sparsity":[75],"error-specific":[77],"problems":[78,209],"(L2)":[80],"sparse":[82],"rewards":[83],"associated":[84],"with":[85],"difficult":[86,208],"problems.":[87],"We":[88],"demonstrate":[89,217],"that":[90,128,158,218],"these":[91],"can":[93],"result":[94],"suboptimal":[96],"performance":[97],"domain-specific":[99],"for":[101],"LLMs.":[102],"To":[103],"tackle":[104,207],"above":[106],"limitations,":[108],"propose":[110],"novel":[112],"error-driven":[113],"learning":[114],"framework":[115,134],"--":[116,127],"namely,":[117],"auto\\textbf{m}ated":[118],"opt\\textbf{i}mization":[119],"modeli\\textbf{n}g":[120],"localizable":[123,150],"error-\\textbf{d}riven":[124],"perspective":[125],"(MIND)":[126],"customizes":[129],"whole":[131],"model":[132],"data":[136],"synthesis":[137],"post-training.":[139],"MIND":[140,188,219],"based":[142],"on":[143,214],"our":[144],"key":[145],"observation":[146],"unique":[149],"propagation":[154],"modelings,":[157],"is,":[159],"errors":[161],"may":[162],"remain":[163],"localized":[164,211],"specific":[166],"semantic":[167],"segments":[168],"do":[170],"not":[171],"propagate":[172],"throughout":[173],"entire":[175],"solution.":[176],"Thus,":[177],"contrast":[179],"holistic":[181],"reasoning":[182],"tasks":[183],"such":[184],"mathematical":[186],"proofs,":[187],"leverages":[189],"construction":[191],"focused,":[194],"high-density":[195],"corpus":[197],"proposes":[199],"\\textbf{D}ynamic":[200],"Supervised":[201],"\\textbf{F}ine-Tuning":[202],"\\textbf{P}olicy":[203],"\\textbf{O}ptimization":[204],"(DFPO)":[205],"refinement.":[212],"Experiments":[213],"six":[215],"benchmarks":[216],"consistently":[220],"outperforms":[221],"all":[222],"state-of-the-art":[224],"approaches.":[228]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-14T00:00:00"}
