{"id":"https://openalex.org/W2063002186","doi":"https://doi.org/10.1109/tit.1974.1055146","title":"On the computation of rate-distortion functions (Corresp.)","display_name":"On the computation of rate-distortion functions (Corresp.)","publication_year":1974,"publication_date":"1974-01-01","ids":{"openalex":"https://openalex.org/W2063002186","doi":"https://doi.org/10.1109/tit.1974.1055146","mag":"2063002186"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1974.1055146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055146","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/A5026417214","display_name":"Imre Csisz\u00e1r","orcid":"https://orcid.org/0000-0003-1936-2012"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Csiszar","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026417214"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6994,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.73803526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"1","first_page":"122","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.9908999800682068,"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"}},"topics":[{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.9908999800682068,"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":0.988099992275238,"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/T12029","display_name":"DNA and Biological Computing","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6880382895469666},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.6347730755805969},{"id":"https://openalex.org/keywords/rate-distortion","display_name":"Rate distortion","score":0.6148477792739868},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.593153178691864},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5603294968605042},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5563294291496277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5435147285461426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5142831206321716},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4751431941986084},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.47120851278305054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46393898129463196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3559524118900299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.331948459148407},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12130951881408691},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09582039713859558}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6880382895469666},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6347730755805969},{"id":"https://openalex.org/C2982755384","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate distortion","level":3,"score":0.6148477792739868},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.593153178691864},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5603294968605042},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5563294291496277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5435147285461426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5142831206321716},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4751431941986084},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.47120851278305054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46393898129463196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3559524118900299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.331948459148407},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12130951881408691},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09582039713859558},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1974.1055146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055146","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":[{"display_name":"Quality Education","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1990992471","https://openalex.org/W2029236670","https://openalex.org/W2105007408","https://openalex.org/W2148986322"],"related_works":["https://openalex.org/W3100109466","https://openalex.org/W2136017802","https://openalex.org/W2121711034","https://openalex.org/W1985684185","https://openalex.org/W1916943071","https://openalex.org/W3201495831","https://openalex.org/W2561284090","https://openalex.org/W155750020","https://openalex.org/W2045141709","https://openalex.org/W2050683711"],"abstract_inverted_index":{"In":[0,14],"a":[1,29,32,49],"recent":[2],"paper":[3],"[1],":[4],"Blahut":[5],"suggested":[6],"an":[7],"efficient":[8],"algorithm":[9,27],"for":[10,54],"computing":[11],"rate-distortion":[12],"functions.":[13],"this":[15],"correspondence":[16],"we":[17,47],"show":[18],"that":[19,26],"the":[20,35,41],"sequence":[21],"of":[22],"distributions":[23],"used":[24],"in":[25],"has":[28],"limit":[30],"yielding":[31],"point":[33],"on":[34],"<tex":[36],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">R(d)</tex>":[38],"curve":[39],"if":[40],"reproducing":[42,56],"alphabet":[43],"is":[44],"finite,":[45],"and":[46],"obtain":[48],"similar":[50],"but":[51],"weaker":[52],"result":[53],"countable":[55],"alphabets.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
