{"id":"https://openalex.org/W2962987672","doi":"https://doi.org/10.1109/tit.2018.2881738","title":"On Finite Block-Length Quantization Distortion","display_name":"On Finite Block-Length Quantization Distortion","publication_year":2018,"publication_date":"2018-11-16","ids":{"openalex":"https://openalex.org/W2962987672","doi":"https://doi.org/10.1109/tit.2018.2881738","mag":"2962987672"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2018.2881738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2881738","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/A5100679028","display_name":"Chen Gong","orcid":"https://orcid.org/0000-0002-7150-0024"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Gong","raw_affiliation_strings":["Key Laboratory of Wireless-Optical Communications, Chinese Academy of Sciences, School of Information Science and Technology, University of Science and Technology of China, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Wireless-Optical Communications, Chinese Academy of Sciences, School of Information Science and Technology, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100382658","display_name":"Xiaodong Wang","orcid":"https://orcid.org/0000-0002-2945-9240"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaodong Wang","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-2945-9240","affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23392729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"2","first_page":"1172","last_page":"1188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8104245662689209},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.7818120718002319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.685645341873169},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6415410041809082},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.6215440630912781},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5487998127937317},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.49513283371925354},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.4878807067871094},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.453998863697052},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.43829959630966187},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.36760079860687256},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3399564325809479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19125744700431824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18509840965270996},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.12979033589363098},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09695440530776978},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09008094668388367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08133122324943542}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8104245662689209},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7818120718002319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.685645341873169},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6415410041809082},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.6215440630912781},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5487998127937317},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.49513283371925354},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.4878807067871094},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.453998863697052},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.43829959630966187},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.36760079860687256},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3399564325809479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19125744700431824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18509840965270996},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.12979033589363098},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09695440530776978},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09008094668388367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08133122324943542},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2018.2881738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2881738","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":[],"awards":[{"id":"https://openalex.org/G6584467970","display_name":null,"funder_award_id":"61631018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1484170624","https://openalex.org/W1972826915","https://openalex.org/W1977780029","https://openalex.org/W2005447187","https://openalex.org/W2014677939","https://openalex.org/W2020053595","https://openalex.org/W2021456951","https://openalex.org/W2029495080","https://openalex.org/W2039164018","https://openalex.org/W2063299195","https://openalex.org/W2069797735","https://openalex.org/W2074225934","https://openalex.org/W2100541918","https://openalex.org/W2104250811","https://openalex.org/W2112411219","https://openalex.org/W2121782860","https://openalex.org/W2128505914","https://openalex.org/W2129094693","https://openalex.org/W2129344187","https://openalex.org/W2130727561","https://openalex.org/W2134392502","https://openalex.org/W2137243535","https://openalex.org/W2140550235","https://openalex.org/W2142228262","https://openalex.org/W2145757529","https://openalex.org/W2150593711","https://openalex.org/W2151940630","https://openalex.org/W2156801811","https://openalex.org/W2156835676","https://openalex.org/W2161585662","https://openalex.org/W2162911207","https://openalex.org/W2163481934","https://openalex.org/W2163714951","https://openalex.org/W2166571310","https://openalex.org/W2167372006","https://openalex.org/W2168734837","https://openalex.org/W2169249327","https://openalex.org/W2478708596","https://openalex.org/W3105659800","https://openalex.org/W6667683774"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W3209251257","https://openalex.org/W2292976891","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W4240383795","https://openalex.org/W2008809748","https://openalex.org/W2951620698"],"abstract_inverted_index":{"We":[0,23],"investigate":[1],"the":[2,8,19,29,39,50,54,59,71,87,90,98,105,116],"upper":[3,36,72,91,106],"and":[4,13,73,79,92,104,107],"lower":[5,26,74,93,108],"bounds":[6,52,94,109],"on":[7,28,38,43],"quantization":[9,30,40,45,81],"distortions":[10],"for":[11,76,97],"independent":[12],"identically":[14],"distributed":[15],"continuous":[16,55],"sources":[17],"in":[18,115],"finite":[20],"block-length":[21],"regime.":[22],"derive":[24],"a":[25,64],"bound":[27,37],"distortion,":[31],"as":[32,34],"well":[33],"an":[35],"distortion":[41],"based":[42],"random":[44],"codebooks.":[46,82],"Moreover,":[47],"we":[48,62],"apply":[49],"obtained":[51],"to":[53,68],"Gaussian":[56,60],"source.":[57],"For":[58],"source,":[61],"propose":[63],"computationally":[65],"tractable":[66],"method":[67],"numerically":[69],"compute":[70],"bounds,":[75],"both":[77],"bounded":[78],"unbounded":[80],"Numerical":[83],"results":[84],"show":[85],"that":[86],"gap":[88],"between":[89],"is":[95],"small":[96],"block":[99],"length":[100],"of":[101],"several":[102],"hundreds,":[103],"are":[110],"tighter":[111],"than":[112],"those":[113],"proposed":[114],"existing":[117],"works.":[118]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
