{"id":"https://openalex.org/W2161829687","doi":"https://doi.org/10.1109/ciss.2007.4298398","title":"Universal Quadratic Lower Bounds on Source Coding Error Exponents","display_name":"Universal Quadratic Lower Bounds on Source Coding Error Exponents","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W2161829687","doi":"https://doi.org/10.1109/ciss.2007.4298398","mag":"2161829687"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2007.4298398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2007.4298398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 41st Annual Conference on Information Sciences and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5085984519","display_name":"Cheng Chang","orcid":"https://orcid.org/0000-0002-1387-911X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cheng Chang","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079317491","display_name":"Anant Sahai","orcid":"https://orcid.org/0000-0001-9263-7719"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anant Sahai","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"714","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9973000288009644,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6488016843795776},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6115301251411438},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6057634949684143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5828316807746887},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5428748726844788},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.5353591442108154},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.5330022573471069},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.47334957122802734},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.4605279564857483},{"id":"https://openalex.org/keywords/shannons-source-coding-theorem","display_name":"Shannon's source coding theorem","score":0.45474740862846375},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.41175103187561035},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.40810561180114746},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39502477645874023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3743809461593628},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30141228437423706},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20978209376335144},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.18533289432525635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12879976630210876},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.11915656924247742},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10104164481163025},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06833252310752869}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6488016843795776},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6115301251411438},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6057634949684143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5828316807746887},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5428748726844788},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.5353591442108154},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.5330022573471069},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.47334957122802734},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.4605279564857483},{"id":"https://openalex.org/C177409962","wikidata":"https://www.wikidata.org/wiki/Q2411312","display_name":"Shannon's source coding theorem","level":5,"score":0.45474740862846375},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.41175103187561035},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.40810561180114746},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39502477645874023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3743809461593628},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30141228437423706},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20978209376335144},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.18533289432525635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12879976630210876},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.11915656924247742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10104164481163025},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06833252310752869},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ciss.2007.4298398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2007.4298398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 41st Annual Conference on Information Sciences and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W96086662","https://openalex.org/W2052690615","https://openalex.org/W2099213070","https://openalex.org/W2128031934","https://openalex.org/W2142901448","https://openalex.org/W2296319761","https://openalex.org/W4205855417","https://openalex.org/W4237111923","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W6603981094","https://openalex.org/W6806087461"],"related_works":["https://openalex.org/W2364472724","https://openalex.org/W1540819826","https://openalex.org/W2394111380","https://openalex.org/W2792852228","https://openalex.org/W4251361844","https://openalex.org/W2088214533","https://openalex.org/W4247018558","https://openalex.org/W2380999719","https://openalex.org/W1557835754","https://openalex.org/W2668751350"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,30,60,72,80,87],"problem":[3],"of":[4,12,32,57,62],"block-size":[5],"selection":[6],"to":[7,71,89],"achieve":[8],"a":[9,55,67],"desired":[10],"probability":[11],"error":[13,74],"for":[14,27,34,46],"universal":[15,68],"source":[16],"coding.":[17],"While":[18],"Baron,":[19],"et":[20],"al.":[21],"(2004;":[22],"1973)":[23],"studied":[24],"this":[25],"question":[26],"rates":[28,45],"in":[29,43,86],"vicinity":[31],"entropy":[33],"known":[35],"distributions":[36,48],"using":[37],"central-limit-theorem":[38],"techniques,":[39],"we":[40,65],"are":[41],"interested":[42],"all":[44],"unknown":[47],"and":[49,83],"use":[50],"error-exponent":[51],"techniques.":[52],"By":[53],"adapting":[54],"technique":[56],"Gallager":[58,63],"from":[59],"exercises":[61],"(1971),":[64],"derive":[66],"lower":[69],"bound":[70],"source-coding":[73],"exponent":[75],"that":[76],"depends":[77],"only":[78],"on":[79],"alphabet":[81],"size":[82],"is":[84],"quadratic":[85],"gap":[88],"entropy.":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
