{"id":"https://openalex.org/W7139927138","doi":"https://doi.org/10.48550/arxiv.2603.18514","title":"On the Peril of (Even a Little) Nonstationarity in Satisficing Regret Minimization","display_name":"On the Peril of (Even a Little) Nonstationarity in Satisficing Regret Minimization","publication_year":2026,"publication_date":"2026-03-19","ids":{"openalex":"https://openalex.org/W7139927138","doi":"https://doi.org/10.48550/arxiv.2603.18514"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.18514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18514","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":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.2603.18514","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065404758","display_name":"Yixuan Zhang","orcid":"https://orcid.org/0009-0005-7380-037X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Yixuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130243664","display_name":"Ruihao Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Ruihao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008882694","display_name":"Qiaomin Xie","orcid":"https://orcid.org/0000-0003-2834-6866"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie, Qiaomin","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":0.9945999979972839,"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":0.9945999979972839,"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/T11031","display_name":"Game Theory and Applications","score":0.0013000000035390258,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/satisficing","display_name":"Satisficing","score":0.9621999859809875},{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.9211000204086304},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5037000179290771},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.45890000462532043},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4212000072002411},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.41269999742507935}],"concepts":[{"id":"https://openalex.org/C94822996","wikidata":"https://www.wikidata.org/wiki/Q1777902","display_name":"Satisficing","level":2,"score":0.9621999859809875},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.9211000204086304},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5521000027656555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5361999869346619},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5037000179290771},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.45890000462532043},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44670000672340393},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4212000072002411},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.41269999742507935},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3382999897003174},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33550000190734863},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27790001034736633},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C58694771","wikidata":"https://www.wikidata.org/wiki/Q814385","display_name":"Bounded rationality","level":2,"score":0.26260000467300415}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.18514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18514","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.18514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18514","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8425087928771973}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,21,30,47,52,68,107],"principle":[3],"of":[4,49],"satisficing":[5,10,59,136],"in":[6,20,43,86,133],"decision-making,":[7],"we":[8,127],"study":[9],"regret":[11,32,60,70,137],"guarantees":[12],"for":[13,111,121],"nonstationary":[14,96],"$K$-armed":[15],"bandits.":[16,123],"We":[17],"show":[18],"that":[19],"general":[22],"realizable,":[23],"piecewise-stationary":[24],"setting":[25],"with":[26,74],"$L$":[27],"stationary":[28,53,122],"segments,":[29],"optimal":[31,69],"is":[33,61,89,138],"$\u0398(L\\log":[34],"T)$":[35],"as":[36,38,114,116],"long":[37],"$L\\geq":[39],"2$.":[40],"This":[41,103],"stands":[42],"sharp":[44],"contrast":[45],"to":[46,72,95],"case":[48],"$L=1$":[50],"(i.e.,":[51],"setting),":[54],"where":[55],"a":[56,79,90,99,125,130],"$T$-independent":[57],"$\u0398(1)$":[58],"achievable":[62],"under":[63],"realizability.":[64],"In":[65],"other":[66],"words,":[67],"has":[71],"scale":[73],"$T$":[75],"even":[76],"if":[77],"just":[78],"little":[80],"nonstationarity":[81],"presents.":[82],"A":[83],"key":[84],"ingredient":[85],"our":[87],"analysis":[88],"novel":[91],"Fano-based":[92],"framework":[93,104],"tailored":[94],"bandits":[97],"via":[98],"\\emph{post-interaction":[100],"reference}":[101],"construction.":[102],"strictly":[105],"extends":[106],"classical":[108],"Fano":[109,119],"method":[110],"passive":[112],"estimation":[113],"well":[115],"recent":[117],"interactive":[118],"techniques":[120],"As":[124],"complement,":[126],"also":[128],"discuss":[129],"special":[131],"regime":[132],"which":[134],"constant":[135],"again":[139],"possible.":[140]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-03-21T00:00:00"}