{"id":"https://openalex.org/W2135241951","doi":"https://doi.org/10.1109/allerton.2010.5707083","title":"Extension of the Blahut-Arimoto algorithm for maximizing directed information","display_name":"Extension of the Blahut-Arimoto algorithm for maximizing directed information","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2135241951","doi":"https://doi.org/10.1109/allerton.2010.5707083","mag":"2135241951"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5707083","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707083","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5068879871","display_name":"Haim H. Permuter","orcid":"https://orcid.org/0000-0003-3170-3190"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Haim H. Permuter","raw_affiliation_strings":["Ben-Gurion University of the Negev, Israel","Ben Gurion University, ISRAEL"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben Gurion University, ISRAEL","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010207258","display_name":"Iddo Naiss","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Iddo Naiss","raw_affiliation_strings":["Ben-Gurion University of the Negev, Israel","Ben Gurion University, ISRAEL"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben Gurion University, ISRAEL","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068879871"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":0.3561,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65770424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"49","issue":null,"first_page":"1442","last_page":"1449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9991000294685364,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.694402813911438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5768290162086487},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5563016533851624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5304065942764282},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.49159058928489685},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45744746923446655},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.44919323921203613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3997507691383362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39849424362182617},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09496116638183594},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.0930299162864685}],"concepts":[{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.694402813911438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5768290162086487},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5563016533851624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5304065942764282},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.49159058928489685},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45744746923446655},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.44919323921203613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3997507691383362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39849424362182617},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09496116638183594},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.0930299162864685},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2010.5707083","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707083","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1489262227","https://openalex.org/W1494926642","https://openalex.org/W1986389751","https://openalex.org/W1989008275","https://openalex.org/W1995875735","https://openalex.org/W2024886389","https://openalex.org/W2029236670","https://openalex.org/W2039464200","https://openalex.org/W2060049742","https://openalex.org/W2082484220","https://openalex.org/W2083048215","https://openalex.org/W2115469356","https://openalex.org/W2120379926","https://openalex.org/W2134392502","https://openalex.org/W2140911775","https://openalex.org/W2141021549","https://openalex.org/W2142901448","https://openalex.org/W2148986322","https://openalex.org/W2149554817","https://openalex.org/W2156537562","https://openalex.org/W2163389339","https://openalex.org/W2164684058","https://openalex.org/W2165397914","https://openalex.org/W2175624993","https://openalex.org/W2296319761","https://openalex.org/W2532607215","https://openalex.org/W2947000318","https://openalex.org/W2950830221","https://openalex.org/W3193262203","https://openalex.org/W6629237864","https://openalex.org/W6681130209"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1976188970","https://openalex.org/W2889559465","https://openalex.org/W2990541822"],"abstract_inverted_index":{"We":[0,93],"extend":[1],"the":[2,16,30,33,38,51,67,70,89,99,113,116],"Blahut-Arimoto":[3,35],"algorithm":[4],"for":[5,14],"maximizing":[6],"Massey's":[7],"directed":[8,71],"information,":[9],"which":[10],"can":[11,80],"be":[12],"used":[13],"estimating":[15],"capacity":[17],"of":[18,69,98,115],"channels":[19],"with":[20,88],"delayed":[21],"feedback.":[22],"In":[23],"order":[24,64],"to":[25,50,65,111],"do":[26],"so,":[27],"we":[28],"apply":[29],"ideas":[31],"from":[32],"regular":[34],"algorithm,":[36,100],"i.e.,":[37],"alternating":[39,90],"maximization":[40,86,91],"procedure,":[41],"onto":[42],"our":[43],"new":[44],"problem,":[45],"and":[46,103],"show":[47],"its":[48,101],"convergence":[49],"global":[52],"optimum":[53],"value.":[54],"Our":[55],"main":[56],"insight":[57],"in":[58,63],"this":[59],"paper":[60],"is":[61],"that":[62],"find":[66],"maximum":[68],"information":[72],"over":[73],"causal":[74],"conditioning":[75],"probability":[76],"mass":[77],"function,":[78],"one":[79],"use":[81],"a":[82,95],"backward":[83],"index":[84],"time":[85],"combined":[87],"procedure.":[92],"give":[94],"detailed":[96],"description":[97],"complexity,":[102],"memory":[104],"needed.":[105],"Some":[106],"numerical":[107],"results":[108],"are":[109],"provided":[110],"illustrate":[112],"performance":[114],"suggested":[117],"algorithm.":[118]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}