{"id":"https://openalex.org/W7131684110","doi":"https://doi.org/10.48550/arxiv.2602.21328","title":"Efficient Opportunistic Approachability","display_name":"Efficient Opportunistic Approachability","publication_year":2026,"publication_date":"2026-02-24","ids":{"openalex":"https://openalex.org/W7131684110","doi":"https://doi.org/10.48550/arxiv.2602.21328"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/A5024713701","display_name":"Teodor V. Marinov","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marinov, Teodor Vanislavov","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058849006","display_name":"Mehryar Mohri","orcid":"https://orcid.org/0000-0002-3987-9847"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohri, Mehryar","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019071920","display_name":"Princewill Okoroafor","orcid":"https://orcid.org/0009-0003-6845-2687"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Okoroafor, Princewill","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126937922","display_name":"Jon Schneider","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schneider, Jon","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5022323474","display_name":"Julian Zimmert","orcid":"https://orcid.org/0000-0001-6929-9053"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zimmert, Julian","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024713701"],"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":0.41909998655319214,"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":0.41909998655319214,"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":0.18850000202655792,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.149399995803833,"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/sublinear-function","display_name":"Sublinear function","score":0.6588000059127808},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.48069998621940613},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47589999437332153},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.45559999346733093},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.39469999074935913},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.35019999742507935},{"id":"https://openalex.org/keywords/adversary","display_name":"Adversary","score":0.3467999994754791}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.6588000059127808},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.48069998621940613},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47589999437332153},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.45559999346733093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4106000065803528},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.39469999074935913},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.35019999742507935},{"id":"https://openalex.org/C41065033","wikidata":"https://www.wikidata.org/wiki/Q2825412","display_name":"Adversary","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C119322782","wikidata":"https://www.wikidata.org/wiki/Q2662236","display_name":"VC dimension","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3411000072956085},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3384000062942505},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.29820001125335693},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.25870001316070557},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.21328","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":{"We":[0],"study":[1],"the":[2,13,64,72,84,124,133,136,139,154],"problem":[3,45,76],"of":[4,9,34,71,111,121,138,157],"opportunistic":[5,58,105],"approachability:":[6],"a":[7,23,32,75,109,119],"generalization":[8],"Blackwell":[10],"approachability":[11,55,90,106],"where":[12,135],"learner":[14],"would":[15],"like":[16],"to":[17,31,66,152],"obtain":[18,153],"stronger":[19],"guarantees":[20,53],"(i.e.,":[21],"approach":[22],"smaller":[24],"set)":[25],"when":[26],"their":[27,35],"adversary":[28],"limits":[29],"themselves":[30],"subset":[33],"possible":[36,151],"action":[37,141],"space.":[38],"Bernstein":[39],"et":[40],"al.":[41],"(2014)":[42],"introduced":[43],"this":[44,61,97],"in":[46,83,89,132],"2014":[47],"and":[48,87],"presented":[49],"an":[50,101,114,127],"algorithm":[51,62,103],"that":[52,92,107,117],"sublinear":[54],"rates":[56,91],"for":[57,104,126],"approachability.":[59],"However,":[60],"requires":[63],"ability":[65],"produce":[67],"calibrated":[68],"online":[69,128],"predictions":[70],"adversary's":[73,140],"actions,":[74],"whose":[77],"standard":[78],"implementations":[79],"require":[80],"time":[81],"exponential":[82],"ambient":[85],"dimension":[86,137],"result":[88],"scale":[93],"as":[94],"$T^{-O(1/d)}$.":[95],"In":[96],"paper,":[98],"we":[99,147],"present":[100],"efficient":[102],"achieves":[108,118],"rate":[110,120,156],"$O(T^{-1/4})$":[112],"(and":[113],"inefficient":[115],"one":[116],"$O(T^{-1/3})$),":[122],"bypassing":[123],"need":[125],"calibration":[129],"subroutine.":[130],"Moreover,":[131],"case":[134],"set":[142],"is":[143,150],"at":[144],"most":[145],"two,":[146],"show":[148],"it":[149],"optimal":[155],"$O(T^{-1/2})$.":[158]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-27T00:00:00"}
