{"id":"https://openalex.org/W7127615047","doi":"https://doi.org/10.48550/arxiv.2602.02814","title":"Sub-optimality bounds for certainty equivalent policies in partially observed systems","display_name":"Sub-optimality bounds for certainty equivalent policies in partially observed systems","publication_year":2026,"publication_date":"2026-02-02","ids":{"openalex":"https://openalex.org/W7127615047","doi":"https://doi.org/10.48550/arxiv.2602.02814"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.02814","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/A5086071736","display_name":"Berk Bozkurt","orcid":"https://orcid.org/0000-0002-5282-5843"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bozkurt, Berk","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005770424","display_name":"Aditya Mahajan","orcid":"https://orcid.org/0000-0001-8125-1191"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mahajan, Aditya","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040616226","display_name":"Ashutosh Nayyar","orcid":"https://orcid.org/0000-0001-8310-7505"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nayyar, Ashutosh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125041288","display_name":"Yi Ouyang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ouyang, Yi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086071736"],"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.4431000053882599,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.4431000053882599,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.1826000064611435,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.09769999980926514,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/certainty","display_name":"Certainty","score":0.8267999887466431},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6606000065803528},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5976999998092651},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5185999870300293},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.364300012588501},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.3546000123023987},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.3377000093460083}],"concepts":[{"id":"https://openalex.org/C7493553","wikidata":"https://www.wikidata.org/wiki/Q1520777","display_name":"Certainty","level":2,"score":0.8267999887466431},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7105000019073486},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6606000065803528},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5976999998092651},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5185999870300293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41179999709129333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.396699994802475},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3546000123023987},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3472999930381775},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3377000093460083},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C116930293","wikidata":"https://www.wikidata.org/wiki/Q5265717","display_name":"Deterministic system (philosophy)","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.3095000088214874},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.2808000147342682}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.02814","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.2602.02814","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.02814","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.2602.02814","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,93],"this":[1,67],"paper,":[2],"we":[3,69,117],"present":[4,129],"a":[5],"generalization":[6],"of":[7,12,17,49,62,124],"the":[8,18,35,45,50,55,63,96,106,109,122,134],"certainty":[9,20,71,97,125],"equivalence":[10,21],"principle":[11,22],"stochastic":[13,51,79],"control.":[14],"One":[15],"interpretation":[16],"classical":[19],"for":[23,74,83],"linear":[24,52],"systems":[25,80],"with":[26],"output":[27],"feedback":[28],"and":[29,108],"quadratic":[30],"costs":[31],"is":[32,41,100],"as":[33],"follows:":[34],"optimal":[36,46],"action":[37],"at":[38,54],"each":[39],"time":[40],"obtained":[42],"by":[43,66],"evaluating":[44],"state-feedback":[47],"policy":[48,99],"system":[53],"minimum":[56],"mean":[57],"square":[58],"error":[59],"(MMSE)":[60],"estimate":[61,86],"state.":[64],"Motivated":[65],"interpretation,":[68],"consider":[70],"equivalent":[72,98,126],"policies":[73],"general":[75],"(non-linear)":[76],"partially":[77],"observed":[78],"that":[81],"allow":[82],"any":[84],"state":[85],"rather":[87],"than":[88],"restricting":[89],"to":[90,132],"MMSE":[91],"estimates.":[92],"such":[94],"settings,":[95],"not":[101],"optimal.":[102],"For":[103],"models":[104],"where":[105],"cost":[107],"dynamics":[110],"are":[111],"smooth":[112],"in":[113],"an":[114],"appropriate":[115],"sense,":[116],"derive":[118],"upper":[119],"bounds":[120],"on":[121],"sub-optimality":[123],"policies.":[127],"We":[128],"several":[130],"examples":[131],"illustrate":[133],"results.":[135]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-06T00:00:00"}
