{"id":"https://openalex.org/W2104147334","doi":"https://doi.org/10.1109/isit.2011.6034159","title":"Fixed-length lossy compression in the finite blocklength regime: Discrete memoryless sources","display_name":"Fixed-length lossy compression in the finite blocklength regime: Discrete memoryless sources","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2104147334","doi":"https://doi.org/10.1109/isit.2011.6034159","mag":"2104147334"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2011.6034159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6034159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","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/A5001633086","display_name":"Victoria Kostina","orcid":"https://orcid.org/0000-0002-2406-7440"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victoria Kostina","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, NJ, USA","Department of Electrical Engineering, Princeton University, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103184697","display_name":"Sergio Verd\u00fa","orcid":"https://orcid.org/0000-0003-1254-9116"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergio Verdu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, NJ, USA","Department of Electrical Engineering, Princeton University, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5139,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.93094886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"41","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9984999895095825,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9972000122070312,"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/distortion","display_name":"Distortion (music)","score":0.6185160279273987},{"id":"https://openalex.org/keywords/rate-distortion","display_name":"Rate distortion","score":0.590842604637146},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.5584478378295898},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5100730061531067},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48470020294189453},{"id":"https://openalex.org/keywords/lossy-compression","display_name":"Lossy compression","score":0.4697965383529663},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45642587542533875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4525725543498993},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.4518751800060272},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4513232111930847},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44369152188301086},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44368094205856323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39632368087768555},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.24933356046676636},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.22857561707496643},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22476720809936523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18469136953353882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15643256902694702},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10604315996170044}],"concepts":[{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6185160279273987},{"id":"https://openalex.org/C2982755384","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate distortion","level":3,"score":0.590842604637146},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.5584478378295898},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5100730061531067},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48470020294189453},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.4697965383529663},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45642587542533875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4525725543498993},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.4518751800060272},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4513232111930847},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44369152188301086},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44368094205856323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39632368087768555},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.24933356046676636},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.22857561707496643},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22476720809936523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18469136953353882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15643256902694702},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10604315996170044},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2011.6034159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6034159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:49541","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20140910-110253022","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1502506486","https://openalex.org/W1542679149","https://openalex.org/W1972826915","https://openalex.org/W2052690615","https://openalex.org/W2083263610","https://openalex.org/W2100541918","https://openalex.org/W2106864314","https://openalex.org/W2121430634","https://openalex.org/W2128505914","https://openalex.org/W2131076893","https://openalex.org/W2135469284","https://openalex.org/W2144452965","https://openalex.org/W2156117587","https://openalex.org/W2219576505","https://openalex.org/W2283521947","https://openalex.org/W3105659800"],"related_works":["https://openalex.org/W2560325964","https://openalex.org/W1413489299","https://openalex.org/W2148508315","https://openalex.org/W2973021486","https://openalex.org/W2950221323","https://openalex.org/W2120182993","https://openalex.org/W2101208289","https://openalex.org/W1594577932","https://openalex.org/W2990618454","https://openalex.org/W2089848464"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,41,63,69,75,88,91,99,102,110,114,121,133,144],"minimum":[4,42,115],"achievable":[5,44,116],"source":[6,76,124,145],"coding":[7],"rate":[8,43,70,117,128],"as":[9],"a":[10,72],"function":[11],"of":[12,74,90,113],"blocklength":[13],"n":[14],"and":[15,23,96,109],"tolerable":[16],"distortion":[17,103],"level":[18],"d.":[19,105],"Tight":[20],"general":[21],"achievability":[22],"converse":[24],"bounds":[25,108],"are":[26,118],"derived":[27],"that":[28,101],"hold":[29],"at":[30],"arbitrary":[31],"fixed":[32],"blocklength.":[33],"For":[34],"stationary":[35],"memoryless":[36,123],"sources":[37],"with":[38,125],"separable":[39],"distortion,":[40],"is":[45,62,68,87,98,146],"shown":[46],"to":[47,137],"be":[48],"q":[49],"closely":[50],"approximated":[51],"by":[52],"R(d)":[53,61,138],"+":[54,139],"\u221av(d)/nQ":[55],"<sup":[56,83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-1</sup>":[58,85],"(\u03f5),":[59],"where":[60],"rate-distortion":[64],"function,":[65],"V":[66],"(d)":[67],"dispersion,":[71],"characteristic":[73],"which":[77],"measures":[78],"its":[79],"stochastic":[80],"variability,":[81],"Q":[82],"(\u00b7)":[86],"inverse":[89],"standard":[92],"Gaussian":[93],"complementary":[94],"cdf,":[95],"\u03f5":[97],"probability":[100],"exceeds":[104],"The":[106],"new":[107],"second-order":[111,134],"approximation":[112,135],"evaluated":[119],"for":[120],"discrete":[122],"symbol":[126],"error":[127],"distortion.":[129],"In":[130],"this":[131],"case,":[132],"reduces":[136],"1/2":[140],"log":[141],"n/n":[142],"if":[143],"non-redundant.":[147]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}