{"id":"https://openalex.org/W1990500845","doi":"https://doi.org/10.1109/itw.2011.6089501","title":"Fixed-length lossy compression in the finite blocklength regime: Gaussian source","display_name":"Fixed-length lossy compression in the finite blocklength regime: Gaussian source","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W1990500845","doi":"https://doi.org/10.1109/itw.2011.6089501","mag":"1990500845"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2011.6089501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","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":1.3515,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82106843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"457","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.998199999332428,"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/gaussian","display_name":"Gaussian","score":0.5767275094985962},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5517359972000122},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.4999854564666748},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.4468994438648224},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4397311210632324},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4277970492839813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4230445623397827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40452927350997925},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3561949133872986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3197539448738098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3015369772911072},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26929014921188354},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08752021193504333},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07239145040512085}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5767275094985962},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5517359972000122},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.4999854564666748},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.4468994438648224},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4397311210632324},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4277970492839813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4230445623397827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40452927350997925},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3561949133872986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3197539448738098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3015369772911072},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26929014921188354},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08752021193504333},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07239145040512085},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/itw.2011.6089501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:49543","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20140910-112002771","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1580040528","https://openalex.org/W1590624540","https://openalex.org/W1965907328","https://openalex.org/W1972826915","https://openalex.org/W2044180609","https://openalex.org/W2100541918","https://openalex.org/W2104147334","https://openalex.org/W2106745795","https://openalex.org/W2106864314","https://openalex.org/W2135469284","https://openalex.org/W2144452965","https://openalex.org/W2166571310","https://openalex.org/W3105659800","https://openalex.org/W3158116462","https://openalex.org/W6634752728","https://openalex.org/W6786017572"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2769269860","https://openalex.org/W2388752733","https://openalex.org/W2340485316"],"abstract_inverted_index":{"For":[0],"an":[1],"i.i.d.":[2],"Gaussian":[3,71,83],"source":[4,46,128],"with":[5,52],"variance":[6],"\u03c3":[7,22],"<sup":[8,23,30,61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,24,31,62],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[10,25],",":[11],"we":[12],"show":[13,107],"that":[14,100,108],"it":[15],"is":[16,65,77,112,139],"necessary":[17],"to":[18,43],"spend":[19],"\u00bd":[20],"ln":[21],"/d":[26],"+":[27,34],"1/\u221a(2n)":[28],"Q":[29,60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-1</sup>":[32,63],"(\u03b5)":[33],"O":[35],"(ln":[36],"n/n)":[37],"nats":[38],"per":[39],"sample":[40],"in":[41],"order":[42],"reproduce":[44],"n":[45],"samples":[47],"within":[48],"mean-square":[49],"error":[50],"d":[51],"probability":[53],"at":[54,103,131],"least":[55],"1":[56],"-":[57],"\u03b5,":[58],"where":[59],"(\u00b7)":[64],"the":[66,69,78,82,86,109,125,137],"inverse":[67],"of":[68,81,124],"standard":[70],"complementary":[72],"cdf.":[73],"The":[74],"first-order":[75],"term":[76,88],"rate-distortion":[79],"function":[80],"source,":[84],"while":[85],"second-order":[87,110],"measures":[89],"its":[90],"stochastic":[91],"variability.":[92],"We":[93],"derive":[94],"new":[95],"achievability":[96],"and":[97,106,121],"converse":[98],"bounds":[99],"are":[101],"valid":[102],"any":[104],"blocklength":[105,135,138],"approximation":[111,123],"tightly":[113],"wedged":[114],"between":[115],"them,":[116],"thus":[117],"providing":[118],"a":[119,132],"concise":[120],"accurate":[122],"minimum":[126],"achievable":[127],"coding":[129],"rate":[130],"given":[133],"fixed":[134],"(unless":[136],"very":[140],"small).":[141]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}