{"id":"https://openalex.org/W2013890117","doi":"https://doi.org/10.1109/isit.2014.6875283","title":"Cumulant generating function of codeword lengths in optimal lossless compression","display_name":"Cumulant generating function of codeword lengths in optimal lossless compression","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2013890117","doi":"https://doi.org/10.1109/isit.2014.6875283","mag":"2013890117"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","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/A5059985425","display_name":"Thomas A. Courtade","orcid":"https://orcid.org/0000-0001-7106-7358"},"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":true,"raw_author_name":"Thomas A. Courtade","raw_affiliation_strings":["EECS Department, University of California, Berkeley","[EECS Dept, University of California Berkeley, Berkeley, CA, USA]"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"[EECS Dept, University of California Berkeley, Berkeley, CA, USA]","institution_ids":["https://openalex.org/I95457486"]}]},{"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","Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059985425"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":6.1352,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.96341092,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9987999796867371,"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/T12029","display_name":"DNA and Biological Computing","score":0.9980999827384949,"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/code-word","display_name":"Code word","score":0.7019082307815552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6792370676994324},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.6516292095184326},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5116887092590332},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4938076436519623},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.46919485926628113},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.4455059766769409},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.41668468713760376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3940192461013794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3732418119907379},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.3244484066963196},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3028421401977539},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2954587936401367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23312464356422424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1885133981704712},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14246606826782227}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.7019082307815552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6792370676994324},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.6516292095184326},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5116887092590332},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4938076436519623},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.46919485926628113},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.4455059766769409},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.41668468713760376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3940192461013794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3732418119907379},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.3244484066963196},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3028421401977539},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2954587936401367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23312464356422424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1885133981704712},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14246606826782227},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2014.6875283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1986730033","https://openalex.org/W1987459102","https://openalex.org/W1998631532","https://openalex.org/W2001935257","https://openalex.org/W2006726173","https://openalex.org/W2011095115","https://openalex.org/W2049791310","https://openalex.org/W2097415784","https://openalex.org/W2151170200","https://openalex.org/W2165203736","https://openalex.org/W2254512934","https://openalex.org/W2597388719","https://openalex.org/W3103971931","https://openalex.org/W4301258660","https://openalex.org/W4302366875"],"related_works":["https://openalex.org/W4310745942","https://openalex.org/W4385724779","https://openalex.org/W2051259767","https://openalex.org/W2883182289","https://openalex.org/W2297588649","https://openalex.org/W2387738704","https://openalex.org/W1548660552","https://openalex.org/W2145903892","https://openalex.org/W1629323469","https://openalex.org/W2007294857"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,6,10,20,25,39,44,49,54,74,79,90,95,107,112],"distribution":[4],"of":[5,9,43,51,57,89,97,109],"codeword":[7,46],"lengths":[8],"optimal":[11],"lossless":[12],"compression":[13],"code":[14],"without":[15],"prefix":[16,52],"constraints":[17],"both":[18],"in":[19,24,64,94],"non-asymptotic":[21],"regime":[22],"and":[23,36,84],"asymptotic":[26,91],"regime.":[27],"The":[28],"technique":[29],"we":[30,115],"use":[31,73],"is":[32],"based":[33,105],"on":[34,106],"upper":[35],"lower":[37],"bounding":[38],"cumulant":[40],"generating":[41],"function":[42],"optimum":[45],"lengths.":[47],"In":[48,100],"context":[50],"codes,":[53],"normalized":[55],"version":[56],"this":[58],"quantity":[59],"was":[60],"proposed":[61],"by":[62],"Campbell":[63],"1965":[65],"as":[66],"a":[67],"generalized":[68],"average":[69],"length.":[70],"We":[71],"then":[72],"one-shot":[75],"bounds":[76],"to":[77,102,118],"analyze":[78],"large":[80],"deviations":[81,86],"(reliability":[82],"function)":[83],"small":[85],"(normal":[87],"approximation)":[88],"fundamental":[92],"limit":[93],"case":[96],"memoryless":[98],"sources.":[99],"contrast":[101],"other":[103],"approaches":[104],"method":[108],"types":[110],"or":[111],"Berry-Ess\u00e9en":[113],"inequality,":[114],"are":[116],"able":[117],"deal":[119],"with":[120,122],"sources":[121],"infinite":[123],"alphabets.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}