{"id":"https://openalex.org/W1903035817","doi":"https://doi.org/10.1109/ita.2015.7309005","title":"The output distribution of good lossy source codes","display_name":"The output distribution of good lossy source codes","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W1903035817","doi":"https://doi.org/10.1109/ita.2015.7309005","mag":"1903035817"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2015.7309005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2015.7309005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Information Theory and Applications Workshop (ITA)","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/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victoria Kostina","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","California Institute of Technology Pasadena, 91125 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology Pasadena, 91125 USA","institution_ids":["https://openalex.org/I122411786"]}]},{"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":["Princeton University, Princeton, NJ, USA","Princeton University, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"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":0.7013,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74691487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"308","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9984999895095825,"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":0.9984999895095825,"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/lossy-compression","display_name":"Lossy compression","score":0.7791382670402527},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.555655837059021},{"id":"https://openalex.org/keywords/subadditivity","display_name":"Subadditivity","score":0.5532731413841248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5306942462921143},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.47694364190101624},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.4760536849498749},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4588494896888733},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.456944078207016},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.45552998781204224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45400333404541016},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.44517335295677185},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.41727495193481445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37344327569007874},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3404363691806793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32808107137680054},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.3102225959300995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22477686405181885},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16426703333854675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1405121088027954},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1335274875164032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09430062770843506},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08223146200180054}],"concepts":[{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.7791382670402527},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.555655837059021},{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.5532731413841248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5306942462921143},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.47694364190101624},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.4760536849498749},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4588494896888733},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.456944078207016},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.45552998781204224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45400333404541016},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.44517335295677185},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.41727495193481445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37344327569007874},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3404363691806793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32808107137680054},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.3102225959300995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22477686405181885},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16426703333854675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1405121088027954},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1335274875164032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09430062770843506},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08223146200180054},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ita.2015.7309005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2015.7309005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:72015","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/72015/","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":23,"referenced_works":["https://openalex.org/W56215082","https://openalex.org/W79265410","https://openalex.org/W1484170624","https://openalex.org/W1496462336","https://openalex.org/W1556911442","https://openalex.org/W1995875735","https://openalex.org/W2072290180","https://openalex.org/W2098496775","https://openalex.org/W2098632144","https://openalex.org/W2099111195","https://openalex.org/W2128505914","https://openalex.org/W2142901448","https://openalex.org/W2149685491","https://openalex.org/W2151414914","https://openalex.org/W2173680352","https://openalex.org/W2196937749","https://openalex.org/W2293830652","https://openalex.org/W2525513318","https://openalex.org/W3105659800","https://openalex.org/W3158116462","https://openalex.org/W4251984466","https://openalex.org/W4285719527","https://openalex.org/W6602307826"],"related_works":["https://openalex.org/W3009872175","https://openalex.org/W2148008965","https://openalex.org/W1983052329","https://openalex.org/W1557835754","https://openalex.org/W2142739858","https://openalex.org/W2150499662","https://openalex.org/W2137835428","https://openalex.org/W2951971855","https://openalex.org/W4301293620","https://openalex.org/W1903035817"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,29],"necessary":[4,78],"condition":[5,79],"good":[6,30],"rate-distortion":[7,49],"codes":[8],"must":[9],"satisfy.":[10],"Specifically,":[11],"it":[12],"is":[13,80],"shown":[14],"that":[15],"as":[16],"the":[17,20,23,26,35,38,41,44,48,54],"blocklength":[18],"increases,":[19],"distribution":[21,36,46],"of":[22,28,37,43,53],"input":[24,39],"given":[25,40,81],"output":[27,42],"lossy":[31,83],"code":[32],"converges":[33],"to":[34],"joint":[45,84],"achieving":[47],"function,":[50],"in":[51],"terms":[52],"normalized":[55],"conditional":[56],"relative":[57],"entropy.":[58],"The":[59],"result":[60],"holds":[61],"for":[62,71,82],"stationary":[63],"ergodic":[64],"sources":[65],"with":[66],"subadditive":[67],"distortion":[68],"measures,":[69],"both":[70],"fixed-length":[72],"and":[73],"variable-length":[74],"compression.":[75],"A":[76],"similar":[77],"source-channel":[85],"coding.":[86]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}