{"id":"https://openalex.org/W2035954066","doi":"https://doi.org/10.1109/tac.2014.2343831","title":"Asymptotic Optimality and Rates of Convergence of Quantized Stationary Policies in Stochastic Control","display_name":"Asymptotic Optimality and Rates of Convergence of Quantized Stationary Policies in Stochastic Control","publication_year":2014,"publication_date":"2014-07-28","ids":{"openalex":"https://openalex.org/W2035954066","doi":"https://doi.org/10.1109/tac.2014.2343831","mag":"2035954066"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2343831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2343831","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5029240602","display_name":"Naci Sald\u0131","orcid":"https://orcid.org/0000-0002-2677-7366"},"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":"Naci Saldi","raw_affiliation_strings":["Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090728745","display_name":"Tam\u00e1s Linder","orcid":"https://orcid.org/0000-0001-9993-816X"},"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":"Tamas Linder","raw_affiliation_strings":["Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#","institution_ids":["https://openalex.org/I204722609"]}]},{"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 Yuksel","raw_affiliation_strings":["Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Stat., Queen's Univ., Kingston, ON, Canada#TAB#","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029240602"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":3.6918,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93092983,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"2","first_page":"553","last_page":"558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9803000092506409,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9803000092506409,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9801999926567078,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9682000279426575,"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/convergence","display_name":"Convergence (economics)","score":0.6051169633865356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4994971752166748},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49741604924201965},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4895230531692505},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4518054723739624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4511982798576355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4338114261627197},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.40934324264526367},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40074068307876587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2974340617656708},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.20212942361831665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06851795315742493}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6051169633865356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4994971752166748},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49741604924201965},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4895230531692505},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4518054723739624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4511982798576355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4338114261627197},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.40934324264526367},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40074068307876587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2974340617656708},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.20212942361831665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06851795315742493},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2014.2343831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2343831","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.9779","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.9779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mast.queensu.ca/%7Eyuksel/SLYTAC2015.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G8284766523","display_name":null,"funder_award_id":"(NSERC)","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W40754891","https://openalex.org/W118602349","https://openalex.org/W261814290","https://openalex.org/W1509780496","https://openalex.org/W1518072521","https://openalex.org/W1535737899","https://openalex.org/W1611140369","https://openalex.org/W1966208686","https://openalex.org/W1966294600","https://openalex.org/W1973387369","https://openalex.org/W1992306408","https://openalex.org/W2010654234","https://openalex.org/W2035723617","https://openalex.org/W2070935253","https://openalex.org/W2092720955","https://openalex.org/W2099111195","https://openalex.org/W2119481921","https://openalex.org/W2156518677","https://openalex.org/W2175602944","https://openalex.org/W2341905372","https://openalex.org/W2478708596","https://openalex.org/W4210379104","https://openalex.org/W4254197176","https://openalex.org/W6703997658"],"related_works":["https://openalex.org/W2963867492","https://openalex.org/W2943897807","https://openalex.org/W3120484221","https://openalex.org/W4366198066","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W3099285423","https://openalex.org/W278441094","https://openalex.org/W4386034604","https://openalex.org/W2336173978"],"abstract_inverted_index":{"Abstract\u2014We":[0],"consider":[1],"the":[2,61,73,79],"discrete":[3],"approximation":[4,74],"of":[5,63,78],"stationary":[6,28,88],"policies":[7,30,43,59],"for":[8,57],"a":[9],"discrete-time":[10],"Markov":[11,84],"decision":[12,85],"process":[13],"with":[14,44],"Polish":[15],"state":[16],"and":[17,23,33],"action":[18],"spaces":[19],"under":[20,47],"total,":[21],"discounted,":[22],"average":[24],"cost":[25],"criteria.":[26],"Deterministic":[27],"quantizer":[29],"are":[31],"introduced":[32],"shown":[34],"to":[35,38],"be":[36],"able":[37],"approximate":[39],"optimal":[40],"deterministic":[41],"sta-tionary":[42],"arbitrary":[45],"precision":[46],"mild":[48],"technical":[49],"conditions,":[50],"thus":[51],"demonstrating":[52],"that":[53],"one":[54],"can":[55],"search":[56],"\u03b5-optimal":[58],"within":[60],"class":[62],"quantized":[64],"control":[65],"policies.":[66],"We":[67],"also":[68],"derive":[69],"explicit":[70],"bounds":[71],"on":[72],"error":[75],"in":[76],"terms":[77],"quantization":[80],"rate.":[81],"Index":[82],"Terms\u2014Approximation,":[83],"processes,":[86],"quantization,":[87],"policies,":[89],"stochastic":[90],"control.":[91],"I.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}