{"id":"https://openalex.org/W2921576692","doi":"https://doi.org/10.23919/isita.2018.8664222","title":"New Results on Variable-Length Lossy Compression Allowing Positive Overflow and Excess Distortion Probabilities","display_name":"New Results on Variable-Length Lossy Compression Allowing Positive Overflow and Excess Distortion Probabilities","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2921576692","doi":"https://doi.org/10.23919/isita.2018.8664222","mag":"2921576692"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664222","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","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/A5032142245","display_name":"Shota Saito","orcid":"https://orcid.org/0000-0003-2256-4598"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shota Saito","raw_affiliation_strings":["Dept. of Applied Mathematics, Waseda University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics, Waseda University, Tokyo, Japan","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047903778","display_name":"Hideki Yagi","orcid":"https://orcid.org/0000-0003-0961-7077"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hideki Yagi","raw_affiliation_strings":["Dept. of Computer & Network Engineering, The University of Electro-Communications, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer & Network Engineering, The University of Electro-Communications, Tokyo, Japan","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110471799","display_name":"Toshiyasu Matsushima","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshiyasu Matsushima","raw_affiliation_strings":["Dept. of Applied Mathematics, Waseda University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics, Waseda University, Tokyo, Japan","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032142245"],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17925014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"359","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9914000034332275,"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":0.989300012588501,"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/infimum-and-supremum","display_name":"Infimum and supremum","score":0.8674992322921753},{"id":"https://openalex.org/keywords/lossy-compression","display_name":"Lossy compression","score":0.8548189401626587},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6921241879463196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6190946698188782},{"id":"https://openalex.org/keywords/shannons-source-coding-theorem","display_name":"Shannon's source coding theorem","score":0.578308641910553},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5417003035545349},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.5322765111923218},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.5216182470321655},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.5145863890647888},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5109766721725464},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.459597647190094},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4394558072090149},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.43787747621536255},{"id":"https://openalex.org/keywords/shannon\u2013fano-coding","display_name":"Shannon\u2013Fano coding","score":0.42918241024017334},{"id":"https://openalex.org/keywords/huffman-coding","display_name":"Huffman coding","score":0.38825079798698425},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.3154735565185547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30665481090545654},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2396405041217804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21478387713432312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21230041980743408},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20092645287513733},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19322261214256287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11291521787643433},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09687793254852295},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.08502891659736633},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.08437648415565491}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.8674992322921753},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.8548189401626587},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6921241879463196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6190946698188782},{"id":"https://openalex.org/C177409962","wikidata":"https://www.wikidata.org/wiki/Q2411312","display_name":"Shannon's source coding theorem","level":5,"score":0.578308641910553},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5417003035545349},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5322765111923218},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.5216182470321655},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.5145863890647888},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5109766721725464},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.459597647190094},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4394558072090149},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.43787747621536255},{"id":"https://openalex.org/C130811719","wikidata":"https://www.wikidata.org/wiki/Q2645","display_name":"Shannon\u2013Fano coding","level":4,"score":0.42918241024017334},{"id":"https://openalex.org/C46900642","wikidata":"https://www.wikidata.org/wiki/Q2647","display_name":"Huffman coding","level":3,"score":0.38825079798698425},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.3154735565185547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30665481090545654},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2396405041217804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21478387713432312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21230041980743408},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20092645287513733},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19322261214256287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11291521787643433},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09687793254852295},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.08502891659736633},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.08437648415565491},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/isita.2018.8664222","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1484170624","https://openalex.org/W1662682717","https://openalex.org/W2011095115","https://openalex.org/W2023479037","https://openalex.org/W2106654982","https://openalex.org/W2114085948","https://openalex.org/W2518351301","https://openalex.org/W2522673337","https://openalex.org/W2787028809","https://openalex.org/W2963102622","https://openalex.org/W3105659800"],"related_works":["https://openalex.org/W2156106714","https://openalex.org/W4312628177","https://openalex.org/W1579872668","https://openalex.org/W2123072960","https://openalex.org/W2096793045","https://openalex.org/W2952888030","https://openalex.org/W2117022035","https://openalex.org/W4251361844","https://openalex.org/W2380999719","https://openalex.org/W1557835754"],"abstract_inverted_index":{"This":[0,77],"paper":[1],"shows":[2],"some":[3],"new":[4,138],"results":[5],"for":[6,43,101,106],"the":[7,17,21,26,44,54,58,61,64,69,73,88,92,95,98,107,118,127,132,137,142],"problem":[8,45,108,119],"of":[9,29,46,57,60,91,94,109,120],"variable-length":[10,47,110],"lossy":[11,49,112,122],"source":[12,50,113,123],"coding.":[13],"We":[14],"deal":[15],"with":[16],"case":[18],"where":[19],"both":[20],"excess":[22],"distortion":[23],"probability":[24,28,66,100],"and":[25],"overflow":[27,65,99],"codeword":[30],"lengths":[31],"are":[32],"less":[33],"than":[34],"or":[35],"equal":[36],"to":[37],"positive":[38],"constants.":[39],"Our":[40],"previous":[41],"study":[42,78],"(noiseless)":[48],"coding":[51],"has":[52],"derived":[53],"general":[55,128],"formula":[56,130],"infimum":[59,93],"thresholds":[62,96],"on":[63,72,97,131,141],"by":[67,135],"using":[68,136],"quantity":[70,139],"based":[71,140],"smooth":[74,143],"max":[75,144],"entropy.":[76,145],"extends":[79],"this":[80],"result":[81],"in":[82],"two":[83],"directions.":[84],"First,":[85],"we":[86,125],"derive":[87],"single-letter":[89],"characterization":[90],"stationary":[102],"memoryless":[103],"sources.":[104],"Second,":[105],"noisy":[111],"coding,":[114,124],"also":[115],"known":[116],"as":[117],"remote":[121],"establish":[126],"nonasymptotic":[129],"converse":[133],"bound":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}