{"id":"https://openalex.org/W4413393842","doi":"https://doi.org/10.23919/acc63710.2025.11107940","title":"Wasserstein Regularity of Nonlinear Filters as Belief-MDPs, and Implications on Ergodicity, Optimality and Learning for POMDPs","display_name":"Wasserstein Regularity of Nonlinear Filters as Belief-MDPs, and Implications on Ergodicity, Optimality and Learning for POMDPs","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413393842","doi":"https://doi.org/10.23919/acc63710.2025.11107940"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107940","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070577846","display_name":"Yunus Emre Demirci","orcid":null},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Yunus Emre Demirci","raw_affiliation_strings":["Queen’s University,Department of Mathematics and Statistics,Kingston,ON,Canada"],"affiliations":[{"raw_affiliation_string":"Queen’s University,Department of Mathematics and Statistics,Kingston,ON,Canada","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101664274","display_name":"Ali\u0307 Devran Kara","orcid":"https://orcid.org/0000-0001-8119-6620"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Devran Kara","raw_affiliation_strings":["Florida State University,Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Florida State University,Department of Mathematics","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005401257","display_name":"Serdar Y\u00fcksel","orcid":"https://orcid.org/0000-0001-6099-5001"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Serdar Y\u00fcksel","raw_affiliation_strings":["Queen’s University,Department of Mathematics and Statistics,Kingston,ON,Canada"],"affiliations":[{"raw_affiliation_string":"Queen’s University,Department of Mathematics and Statistics,Kingston,ON,Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070577846"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32320873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4485","last_page":"4490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.8328999876976013,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.8328999876976013,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.7444999814033508,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11236","display_name":"Control Systems and Identification","score":0.73089998960495,"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/ergodicity","display_name":"Ergodicity","score":0.7737420201301575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5624809265136719},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5397014021873474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5028743147850037},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34776249527931213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.313735693693161},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0731799304485321},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06574243307113647}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.7737420201301575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5624809265136719},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5397014021873474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5028743147850037},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34776249527931213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.313735693693161},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0731799304485321},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06574243307113647},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107940","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1969476627","https://openalex.org/W1978509532","https://openalex.org/W1985489506","https://openalex.org/W1995406875","https://openalex.org/W2009797918","https://openalex.org/W2010654234","https://openalex.org/W2040434095","https://openalex.org/W2059608296","https://openalex.org/W2070178449","https://openalex.org/W2071370395","https://openalex.org/W2075282288","https://openalex.org/W2082338301","https://openalex.org/W2097616825","https://openalex.org/W2108453216","https://openalex.org/W2115308494","https://openalex.org/W2127726220","https://openalex.org/W2131783016","https://openalex.org/W2158907787","https://openalex.org/W2162733643","https://openalex.org/W2921552466","https://openalex.org/W2963292203","https://openalex.org/W2974631764","https://openalex.org/W3136541527","https://openalex.org/W3164777109","https://openalex.org/W4230410498","https://openalex.org/W4233762729","https://openalex.org/W4253577938","https://openalex.org/W4317486325","https://openalex.org/W4404047414","https://openalex.org/W4406061517"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2313545085","https://openalex.org/W2061531152","https://openalex.org/W2152685658","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2381286475","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0,113],"obtain":[1],"conditions":[2,71,117,139],"for":[3,16,103,140],"the":[4,39,52,61,82],"Wasserstein":[5,49],"regularity":[6],"of":[7,30,33,38,51,60,81,92],"non-linear":[8,84],"filters,":[9],"which":[10,119],"serve":[11],"as":[12,42,87,89],"reduced":[13],"MDP":[14],"models":[15],"Partially":[17],"Observable":[18],"Markov":[19],"Decision":[20],"Processes":[21],"(POMDPs).":[22],"In":[23],"particular,":[24],"we":[25,46],"establish":[26],"a":[27],"new":[28],"set":[29],"assumptions:":[31],"instead":[32],"requiring":[34],"total":[35,57],"variation":[36,58],"continuity":[37,50,59],"transition":[40,53],"kernel":[41],"in":[43,144],"earlier":[44],"work,":[45],"show":[47],"that":[48],"kernel,":[54,86],"together":[55],"with":[56],"observation":[62],"channel,":[63],"is":[64],"sufficient":[65],"to":[66],"ensure":[67],"key":[68],"results.":[69],"These":[70],"lead":[72],"to:":[73],"(i)":[74],"unique":[75],"ergodicity":[76,80],"and":[77,95,100,106,124,132,142],"(ii)":[78],"geometric":[79],"control-free":[83],"filter":[85],"well":[88],"(iii)":[90],"existence":[91],"optimal":[93,109],"policies":[94,121],"(iv)":[96],"their":[97],"rigorous":[98],"approximations":[99],"Q-learning":[101],"methods":[102],"both":[104],"discounted":[105],"average":[107],"cost":[108],"stochastic":[110],"control":[111],"problems.":[112],"further":[114],"identify":[115],"complementary":[116],"under":[118],"finite-window":[120],"remain":[122],"near-optimal":[123],"provide":[125],"refined":[126],"error":[127],"bounds.":[128],"Our":[129],"framework":[130],"unifies":[131],"extends":[133],"prior":[134],"results":[135],"while":[136],"offering":[137],"verifiable":[138],"analysis":[141],"design":[143],"POMDPs.":[145]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}