{"id":"https://openalex.org/W4281733865","doi":"https://doi.org/10.48550/arxiv.2206.03098","title":"Better Best of Both Worlds Bounds for Bandits with Switching Costs","display_name":"Better Best of Both Worlds Bounds for Bandits with Switching Costs","publication_year":2022,"publication_date":"2022-06-07","ids":{"openalex":"https://openalex.org/W4281733865","doi":"https://doi.org/10.48550/arxiv.2206.03098"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2206.03098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.03098","pdf_url":"https://arxiv.org/pdf/2206.03098","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":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2206.03098","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079042403","display_name":"Idan Amir","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amir, Idan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034666338","display_name":"Guy Azov","orcid":"https://orcid.org/0000-0003-2336-8601"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Azov, Guy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053775980","display_name":"Tomer Koren","orcid":"https://orcid.org/0000-0002-9061-0448"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Koren, Tomer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089862531","display_name":"Roi Livni","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Livni, Roi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079042403"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"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":0.9998000264167786,"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":0.9998000264167786,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9941999912261963,"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/T12288","display_name":"Optimization and Search Problems","score":0.9886000156402588,"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/regret","display_name":"Regret","score":0.9355366826057434},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6987636089324951},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6913345456123352},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6750345230102539},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5398731231689453},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.41928452253341675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41387617588043213},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3755651116371155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33406394720077515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.306529700756073},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22140294313430786},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07779428362846375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07394629716873169},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06478038430213928}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.9355366826057434},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6987636089324951},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6913345456123352},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6750345230102539},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5398731231689453},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.41928452253341675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41387617588043213},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3755651116371155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33406394720077515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.306529700756073},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22140294313430786},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07779428362846375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07394629716873169},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06478038430213928},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2206.03098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.03098","pdf_url":"https://arxiv.org/pdf/2206.03098","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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2206.03098","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2206.03098","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:oai:arXiv.org:2206.03098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.03098","pdf_url":"https://arxiv.org/pdf/2206.03098","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":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W3123835761","https://openalex.org/W118270247"],"abstract_inverted_index":{"We":[0,17,83],"study":[1],"best-of-both-worlds":[2],"algorithms":[3,104],"for":[4,103],"bandits":[5],"with":[6,50,87,105],"switching":[7,52],"cost,":[8],"recently":[9],"addressed":[10],"by":[11],"Rouyer,":[12],"Seldin":[13],"and":[14,22,39],"Cesa-Bianchi,":[15],"2021.":[16],"introduce":[18],"a":[19,40,88],"surprisingly":[20],"simple":[21],"effective":[23],"algorithm":[24],"that":[25,78],"simultaneously":[26],"achieves":[27],"minimax":[28],"optimal":[29],"regret":[30,80,96],"bound":[31,41,68,90],"of":[32,42,81],"$\\mathcal{O}(T^{2/3})$":[33,106],"in":[34,45,93,99],"the":[35,46,57,60,63,100],"oblivious":[36],"adversarial":[37],"setting":[38],"$\\mathcal{O}(\\min\\{\\log":[43],"(T)/\u0394^2,T^{2/3}\\})$":[44],"stochastically-constrained":[47,101],"regime,":[48],"both":[49],"(unit)":[51],"costs,":[53],"where":[54],"$\u0394$":[55],"is":[56,97],"gap":[58],"between":[59],"arms.":[61],"In":[62],"stochastically":[64],"constrained":[65],"case,":[66],"our":[67,85],"improves":[69],"over":[70],"previous":[71],"results":[72,86],"due":[73],"to":[74],"Rouyer":[75],"et":[76],"al.,":[77],"achieved":[79],"$\\mathcal{O}(T^{1/3}/\u0394)$.":[82],"accompany":[84],"lower":[89],"showing":[91],"that,":[92],"general,":[94],"$\\tilde\u03a9(\\min\\{1/\u0394^2,T^{2/3}\\})$":[95],"unavoidable":[98],"case":[102],"worst-case":[107],"regret.":[108]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}