{"id":"https://openalex.org/W2011914761","doi":"https://doi.org/10.1109/tit.2011.2104992","title":"Optimal Feedback Communication Via Posterior Matching","display_name":"Optimal Feedback Communication Via Posterior Matching","publication_year":2011,"publication_date":"2011-02-18","ids":{"openalex":"https://openalex.org/W2011914761","doi":"https://doi.org/10.1109/tit.2011.2104992","mag":"2011914761"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2104992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2104992","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5032708627","display_name":"Ofer Shayevitz","orcid":"https://orcid.org/0000-0003-4321-0318"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Ofer Shayevitz","raw_affiliation_strings":["Department of EE-Systems, Tel-Aviv University, Tel-Aviv, Israel","Information Theory and Applications Center, University of California, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of EE-Systems, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Information Theory and Applications Center, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066905280","display_name":"Meir Feder","orcid":"https://orcid.org/0000-0002-1290-0482"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meir Feder","raw_affiliation_strings":["Department of Electrical Engineering-Systems, University of California, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959","https://openalex.org/I4210116219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032708627"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":10.4891,"has_fulltext":false,"cited_by_count":163,"citation_normalized_percentile":{"value":0.98672775,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"57","issue":"3","first_page":"1186","last_page":"1222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.996399998664856,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12162","display_name":"Cellular Automata and Applications","score":0.9470000267028809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6138224601745605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5879867672920227},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5045493841171265},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.4655303359031677},{"id":"https://openalex.org/keywords/iterated-function-system","display_name":"Iterated function system","score":0.4515310227870941},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.43747401237487793},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4329811930656433},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.41767480969429016},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4125669002532959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4005396068096161},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3563213348388672},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3479556739330292},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16327157616615295},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11497175693511963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09531375765800476},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09513264894485474}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6138224601745605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5879867672920227},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5045493841171265},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.4655303359031677},{"id":"https://openalex.org/C168460219","wikidata":"https://www.wikidata.org/wiki/Q1502167","display_name":"Iterated function system","level":3,"score":0.4515310227870941},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.43747401237487793},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4329811930656433},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.41767480969429016},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4125669002532959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4005396068096161},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3563213348388672},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3479556739330292},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16327157616615295},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11497175693511963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09531375765800476},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09513264894485474},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2104992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2104992","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W4080413","https://openalex.org/W261814290","https://openalex.org/W1517517412","https://openalex.org/W1961611075","https://openalex.org/W1966627784","https://openalex.org/W1989008275","https://openalex.org/W1995713768","https://openalex.org/W2007275810","https://openalex.org/W2018640312","https://openalex.org/W2024886389","https://openalex.org/W2025523863","https://openalex.org/W2035811299","https://openalex.org/W2036971481","https://openalex.org/W2040877654","https://openalex.org/W2074693497","https://openalex.org/W2083048215","https://openalex.org/W2095715562","https://openalex.org/W2096307573","https://openalex.org/W2099111195","https://openalex.org/W2115844072","https://openalex.org/W2117589955","https://openalex.org/W2121551082","https://openalex.org/W2121656035","https://openalex.org/W2121714801","https://openalex.org/W2129847229","https://openalex.org/W2130092673","https://openalex.org/W2140911775","https://openalex.org/W2142901448","https://openalex.org/W2146719334","https://openalex.org/W2154966010","https://openalex.org/W2156216606","https://openalex.org/W2157875630","https://openalex.org/W2159535726","https://openalex.org/W2162031612","https://openalex.org/W2164684058","https://openalex.org/W2165397914","https://openalex.org/W2175624993","https://openalex.org/W3152478022","https://openalex.org/W3175179020","https://openalex.org/W4210379104","https://openalex.org/W4245427736","https://openalex.org/W4293282250","https://openalex.org/W6631372998"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W3195376785","https://openalex.org/W2370435933","https://openalex.org/W138938013","https://openalex.org/W2947625790","https://openalex.org/W4301700943","https://openalex.org/W3165863844"],"abstract_inverted_index":{"In":[0],"this":[1,25],"paper,":[2],"we":[3,27,83],"introduce":[4],"a":[5,29,38,57,81,95,112,122],"fundamental":[6],"principle":[7],"for":[8,37,60,104,144],"optimal":[9,61],"communication":[10,63],"over":[11,111],"general":[12],"memoryless":[13,42],"channels":[14,43,146],"in":[15,64,121],"the":[16,51,66,71,86,91,105,109,118,126,132,140,150],"presence":[17],"of":[18,41,108,114,139,170],"noiseless":[19],"feedback,":[20],"termed":[21],"posterior":[22,141],"matching.":[23],"Using":[24],"principle,":[26],"devise":[28],"(simple,":[30],"sequential)":[31],"generic":[32],"feedback":[33,62],"transmission":[34],"scheme":[35,68,73,88,110,127,143],"suitable":[36],"large":[39],"class":[40],"and":[44,70,116,149,167],"input":[45],"distributions,":[46],"achieving":[47],"any":[48],"rate":[49],"below":[50],"corresponding":[52,151],"mutual":[53],"information.":[54],"This":[55],"provides":[56],"unified":[58],"framework":[59],"which":[65],"Horstein":[67,87],"(BSC)":[69],"Schalkwijk-Kailath":[72],"(AWGN":[74],"channel)":[75],"are":[76,147,155],"special":[77],"cases.":[78],"Thus,":[79],"as":[80],"corollary,":[82],"prove":[84],"that":[85],"indeed":[89],"attains":[90],"BSC":[92],"capacity,":[93],"settling":[94],"longstanding":[96],"conjecture.":[97],"We":[98],"further":[99],"provide":[100],"closed":[101],"form":[102],"expressions":[103,154],"error":[106,152],"probability":[107,153],"range":[113],"rates,":[115],"derive":[117],"achievable":[119],"rates":[120,166],"mismatch":[123],"setting":[124],"where":[125],"is":[128],"designed":[129],"according":[130],"to":[131],"wrong":[133],"channel":[134],"model.":[135],"Several":[136],"illustrative":[137],"examples":[138],"matching":[142],"specific":[145],"given,":[148],"evaluated.":[156],"The":[157],"proof":[158],"techniques":[159],"employed":[160],"utilize":[161],"novel":[162],"relations":[163],"between":[164],"information":[165],"contraction":[168],"properties":[169],"iterated":[171],"function":[172],"systems.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}