{"id":"https://openalex.org/W7160261161","doi":"https://doi.org/10.48550/arxiv.2605.01361","title":"Decision-Focused Learning via Tangent-Space Projection of Prediction Error","display_name":"Decision-Focused Learning via Tangent-Space Projection of Prediction Error","publication_year":2026,"publication_date":"2026-05-02","ids":{"openalex":"https://openalex.org/W7160261161","doi":"https://doi.org/10.48550/arxiv.2605.01361"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.01361","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01361","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.01361","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081083881","display_name":"Junhyeong Lee","orcid":"https://orcid.org/0009-0003-3758-9357"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Junhyeong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052594170","display_name":"\uc9c4\uc0c1\uc9c4","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jin, Sangjin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135300176","display_name":"Yongjae Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Yongjae","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.2784999907016754,"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"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.2784999907016754,"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"}},{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.13680000603199005,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.11169999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.8400999903678894},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5831999778747559},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.53329998254776},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4399000108242035},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.4018000066280365},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.39079999923706055}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.8400999903678894},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5831999778747559},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.53329998254776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48330000042915344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4772999882698059},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4438999891281128},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4399000108242035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.429500013589859},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.4018000066280365},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.39079999923706055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3587000072002411},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25270000100135803}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.01361","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01361","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.01361","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01361","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.7443545460700989,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Decision-Focused":[0],"Learning":[1],"(DFL)":[2],"trains":[3],"predictors":[4],"to":[5,55,94],"improve":[6],"downstream":[7],"decision":[8,143],"quality,":[9],"but":[10],"computing":[11],"regret":[12,47,74,109],"gradients":[13,75,110],"typically":[14],"requires":[15],"differentiating":[16],"through":[17,121],"solvers":[18],"or":[19,29,124],"relying":[20],"on":[21,98,129],"surrogate":[22],"losses,":[23],"which":[24,107],"can":[25,76],"be":[26,77],"computationally":[27,152],"expensive":[28],"deviate":[30],"from":[31,83],"the":[32,46,56,61,84,141,150],"true":[33],"objective.":[34],"We":[35],"show":[36,137],"that,":[37],"under":[38,158],"standard":[39],"regularity":[40],"with":[41,154],"locally":[42],"stable":[43],"active":[44,65,117],"constraints,":[45,66,118],"gradient":[48],"admits":[49],"a":[50,88,112,133],"closed-form":[51],"geometric":[52],"characterization,":[53],"equivalent":[54],"prediction":[57],"error":[58],"projected":[59],"onto":[60],"tangent":[62],"space":[63],"of":[64],"scaled":[67],"by":[68,79],"local":[69],"curvature.":[70],"This":[71],"reveals":[72],"that":[73,138,156],"obtained":[78],"filtering":[80],"decision-irrelevant":[81],"components":[82],"MSE":[85],"gradient,":[86],"providing":[87],"simpler":[89],"and":[90,132],"more":[91],"direct":[92],"alternative":[93],"existing":[95],"approaches.":[96],"Based":[97],"this,":[99],"we":[100],"propose":[101],"PEAR":[102,139],"(Projected":[103],"Error":[104],"As":[105],"Regret-gradient),":[106],"computes":[108],"via":[111],"reduced":[113],"linear":[114],"system":[115],"over":[116],"avoiding":[119],"differentiation":[120],"solver":[122],"iterations":[123],"additional":[125],"optimization":[126],"solves.":[127],"Experiments":[128],"LP":[130],"benchmarks":[131],"real-world":[134],"QP":[135],"task":[136],"achieves":[140],"best":[142],"quality":[144],"among":[145],"all":[146],"baselines":[147],"while":[148],"being":[149],"most":[151],"efficient,":[153],"gains":[155],"persist":[157],"constraint":[159],"shifts.":[160]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-06T00:00:00"}
