{"id":"https://openalex.org/W7147652228","doi":"https://doi.org/10.48550/arxiv.2603.27874","title":"Stability and Sensitivity Analysis of Relative Temporal-Difference Learning: Extended Version","display_name":"Stability and Sensitivity Analysis of Relative Temporal-Difference Learning: Extended Version","publication_year":2026,"publication_date":"2026-03-29","ids":{"openalex":"https://openalex.org/W7147652228","doi":"https://doi.org/10.48550/arxiv.2603.27874"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.27874","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27874","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.2603.27874","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053114281","display_name":"Masoud Seyed Sakha","orcid":"https://orcid.org/0000-0003-2219-5753"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sakha, Masoud S.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071224574","display_name":"Rushikesh Kamalapurkar","orcid":"https://orcid.org/0000-0001-9963-5361"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kamalapurkar, Rushikesh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047988825","display_name":"Sean Meyn","orcid":"https://orcid.org/0000-0002-8558-365X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meyn, Sean","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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.35589998960494995,"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"}},"topics":[{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.35589998960494995,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.15760000050067902,"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/T10136","display_name":"Statistical Methods and Inference","score":0.05090000107884407,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7005000114440918},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5964999794960022},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5881999731063843},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5519000291824341},{"id":"https://openalex.org/keywords/baseline","display_name":"Baseline (sea)","score":0.5235000252723694},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45410001277923584},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4510999917984009},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.38370001316070557}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7440999746322632},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7005000114440918},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5964999794960022},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5881999731063843},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5519000291824341},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.5235000252723694},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49799999594688416},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4510999917984009},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38370001316070557},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3790999948978424},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.32659998536109924},{"id":"https://openalex.org/C6177178","wikidata":"https://www.wikidata.org/wiki/Q10998070","display_name":"Discounting","level":2,"score":0.32589998841285706},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.305400013923645},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2969000041484833},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29660001397132874},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.2551000118255615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.27874","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27874","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.2603.27874","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27874","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Relative":[0],"temporal-difference":[1,26],"(TD)":[2],"learning":[3,51],"was":[4],"introduced":[5],"to":[6,128],"mitigate":[7],"the":[8,15,25,35,61,66,78,83,87,90,110,133],"slow":[9],"convergence":[10],"of":[11,68,86,109],"TD":[12,50],"methods":[13],"when":[14,77],"discount":[16,101,134],"factor":[17,135],"approaches":[18,136],"one":[19],"by":[20],"subtracting":[21],"a":[22,72,106],"baseline":[23,69,79,97],"from":[24],"update.":[27],"While":[28],"this":[29],"idea":[30],"has":[31],"been":[32],"studied":[33],"in":[34],"tabular":[36],"setting,":[37],"stability":[38,58],"guarantees":[39],"with":[40,52],"function":[41,54],"approximation":[42],"remain":[43,129],"poorly":[44],"understood.":[45],"This":[46],"paper":[47],"analyzes":[48],"relative":[49],"linear":[53],"approximation.":[55],"We":[56,103],"establish":[57],"conditions":[59],"for":[60,94],"algorithm":[62,91],"and":[63,99,118,123],"show":[64],"that":[65],"choice":[67],"distribution":[70,85],"plays":[71],"central":[73],"role.":[74],"In":[75],"particular,":[76],"is":[80,92],"chosen":[81],"as":[82,132],"empirical":[84],"state-action":[88],"process,":[89],"stable":[93],"any":[95,100],"non-negative":[96],"weight":[98],"factor.":[102],"also":[104],"provide":[105],"sensitivity":[107],"analysis":[108],"resulting":[111],"parameter":[112],"estimates,":[113],"characterizing":[114],"both":[115],"asymptotic":[116,121,124],"bias":[117,125],"covariance.":[119],"The":[120],"covariance":[122],"are":[126],"shown":[127],"uniformly":[130],"bounded":[131],"one.":[137]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-02T00:00:00"}
