{"id":"https://openalex.org/W7129690223","doi":"https://doi.org/10.48550/arxiv.2602.14580","title":"Replicable Constrained Bandits","display_name":"Replicable Constrained Bandits","publication_year":2026,"publication_date":"2026-02-16","ids":{"openalex":"https://openalex.org/W7129690223","doi":"https://doi.org/10.48550/arxiv.2602.14580"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.14580","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/A5098623175","display_name":"Matteo Bollini","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bollini, Matteo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088364521","display_name":"Gianmarco Genalti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Genalti, Gianmarco","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015327395","display_name":"Francesco Emanuele Stradi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stradi, Francesco Emanuele","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126225149","display_name":"Matteo Castiglioni","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Castiglioni, Matteo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039843107","display_name":"Alberto Marchesi","orcid":"https://orcid.org/0000-0002-8284-5757"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marchesi, Alberto","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5098623175"],"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":0.7667999863624573,"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":0.7667999863624573,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.13259999454021454,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.019300000742077827,"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":0.7196999788284302},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.6541000008583069},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6171000003814697},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5220000147819519},{"id":"https://openalex.org/keywords/constraint-learning","display_name":"Constraint learning","score":0.39590001106262207},{"id":"https://openalex.org/keywords/efficient-algorithm","display_name":"Efficient algorithm","score":0.34119999408721924},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.3190999925136566}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.7196999788284302},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.6541000008583069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6381999850273132},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6171000003814697},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5220000147819519},{"id":"https://openalex.org/C29230964","wikidata":"https://www.wikidata.org/wiki/Q5164376","display_name":"Constraint learning","level":5,"score":0.39590001106262207},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37380000948905945},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36230000853538513},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3361999988555908},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30090001225471497},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C2775907273","wikidata":"https://www.wikidata.org/wiki/Q7805281","display_name":"Time constraint","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2842999994754791},{"id":"https://openalex.org/C204017024","wikidata":"https://www.wikidata.org/wiki/Q485446","display_name":"Optimism","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.2770000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.14580","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.2602.14580","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.14580","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.2602.14580","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Algorithmic":[0],"\\emph{replicability}":[1],"has":[2],"recently":[3],"been":[4],"introduced":[5],"to":[6,66,71],"address":[7],"the":[8,25,34,42,115,128],"need":[9],"for":[10,60,120],"reproducible":[11],"experiments":[12],"in":[13,33,47,84,102],"machine":[14],"learning.":[15],"A":[16],"\\emph{replicable":[17],"online":[18],"learning}":[19],"algorithm":[20,119],"is":[21,78,140],"one":[22],"that":[23,79,124,126,137],"takes":[24],"same":[26,35],"sequence":[27],"of":[28,44,99,104,141],"decisions":[29],"across":[30],"different":[31],"executions":[32],"environment,":[36],"with":[37,55],"high":[38],"probability.":[39],"We":[40],"initiate":[41],"study":[43],"algorithmic":[45],"replicability":[46,80],"\\emph{constrained}":[48],"MAB":[49],"problems,":[50],"where":[51],"a":[52,107,135],"learner":[53],"interacts":[54],"an":[56],"unknown":[57],"stochastic":[58],"environment":[59],"$T$":[61],"rounds,":[62],"seeking":[63],"not":[64],"only":[65],"maximize":[67],"reward":[68],"but":[69],"also":[70],"satisfy":[72],"multiple":[73],"constraints.":[74],"Our":[75],"main":[76],"result":[77,136],"can":[81,132],"be":[82,133],"achieved":[83],"constrained":[85],"MABs.":[86],"Specifically,":[87],"we":[88,113,138],"design":[89],"replicable":[90,117],"algorithms":[91,125],"whose":[92],"regret":[93],"and":[94],"constraint":[95],"violation":[96],"match":[97],"those":[98],"non-replicable":[100],"ones":[101],"terms":[103],"$T$.":[105],"As":[106],"key":[108],"step":[109],"toward":[110],"these":[111],"guarantees,":[112],"develop":[114],"first":[116],"UCB-like":[118],"\\emph{unconstrained}":[121],"MABs,":[122],"showing":[123],"employ":[127],"optimism":[129],"in-the-face-of-uncertainty":[130],"principle":[131],"replicable,":[134],"believe":[139],"independent":[142],"interest.":[143]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-18T00:00:00"}
