{"id":"https://openalex.org/W2345495628","doi":"https://doi.org/10.1109/isit.2017.8006779","title":"On Empirical Cumulant Generating Functions of Code Lengths for Individual Sequences","display_name":"On Empirical Cumulant Generating Functions of Code Lengths for Individual Sequences","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2345495628","doi":"https://doi.org/10.1109/isit.2017.8006779","mag":"2345495628"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.01182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028774270","display_name":"Neri Merhav","orcid":"https://orcid.org/0000-0002-9547-3243"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Neri Merhav","raw_affiliation_strings":["Department of Electrical Engineering, Technion - Israel Institute of Technology, Technion City, Haifa, Israel","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion - Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028774270"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00344365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"12","first_page":"1500","last_page":"1504"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9969000220298767,"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/mathematics","display_name":"Mathematics","score":0.7228567004203796},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5752042531967163},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5514562726020813},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.5414375066757202},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4437437951564789},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37991002202033997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32796359062194824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32530784606933594},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.25245046615600586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24804788827896118},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22568127512931824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08631458878517151},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.081246018409729}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7228567004203796},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5752042531967163},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5514562726020813},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.5414375066757202},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4437437951564789},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37991002202033997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32796359062194824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32530784606933594},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.25245046615600586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24804788827896118},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22568127512931824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08631458878517151},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.081246018409729},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/isit.2017.8006779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"doi:10.1109/tit.2017.2757495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2757495","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"},{"id":"pmh:oai:arXiv.org:1605.01182","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.01182","pdf_url":"https://arxiv.org/pdf/1605.01182","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2345495628","is_oa":true,"landing_page_url":"https://www.arxiv.org/pdf/1605.01182v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1605.01182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.01182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.01182","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.01182","pdf_url":"https://arxiv.org/pdf/1605.01182","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2345495628.pdf","grobid_xml":"https://content.openalex.org/works/W2345495628.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1988065917","https://openalex.org/W2001935257","https://openalex.org/W2013094118","https://openalex.org/W2052719616","https://openalex.org/W2110764329","https://openalex.org/W2122962290","https://openalex.org/W2129873365","https://openalex.org/W2137902998","https://openalex.org/W2155857058","https://openalex.org/W2165203736","https://openalex.org/W2294584261","https://openalex.org/W2332276036","https://openalex.org/W6634868579"],"related_works":["https://openalex.org/W2102021175","https://openalex.org/W2018891628","https://openalex.org/W2100119790","https://openalex.org/W2167287347","https://openalex.org/W1981162748","https://openalex.org/W2205011536","https://openalex.org/W2126829482","https://openalex.org/W2159864227","https://openalex.org/W2039633672","https://openalex.org/W1534255587","https://openalex.org/W1984750962","https://openalex.org/W2056160526","https://openalex.org/W2157979027","https://openalex.org/W3037933135","https://openalex.org/W1796785622","https://openalex.org/W2948929621","https://openalex.org/W3186327235","https://openalex.org/W1833843757","https://openalex.org/W2832796063","https://openalex.org/W3118635935"],"abstract_inverted_index":{"We":[0,91,130],"consider":[1,92],"the":[2,15,18,27,31,35,39,44,52,56,60,72,76,80,84,88,93,96,100,107,115,127,143,150,157],"problem":[3],"of":[4,7,17,26,34,38,51,55,59,62,71,87,95,102,109],"lossless":[5],"compression":[6,136],"individual":[8],"sequences":[9],"using":[10],"finite-state":[11],"(FS)":[12],"machines,":[13],"from":[14,99],"perspective":[16,101,108],"best":[19],"achievable":[20],"empirical":[21,36],"cumulant":[22],"generating":[23],"function":[24],"(CGF)":[25],"code":[28,41],"length,":[29],"i.e.,":[30],"normalized":[32],"logarithm":[33],"average":[37],"exponentiated":[40],"length.":[42],"Since":[43],"probabilistic":[45],"CGF":[46,94],"is":[47,65,83],"minimized":[48],"in":[49,75,162],"terms":[50],"R\u00e9nyi":[53,73],"entropy":[54],"source,":[57],"one":[58],"motivations":[61],"this":[63,148],"paper":[64],"to":[66,119,135],"derive":[67],"an":[68],"individual-sequence":[69,85],"analogue":[70],"entropy,":[74],"same":[77],"way":[78],"that":[79,124],"FS":[81,128,158],"compressibility":[82],"counterpart":[86],"Shannon":[89],"entropy.":[90],"code-length":[97],"both":[98,142],"fixed-to-variable":[103],"length":[104,112],"coding":[105],"and":[106,145],"variable-to-variable":[110],"(V-V)":[111],"coding,":[113],"where":[114],"latter":[116],"turns":[117],"out":[118],"yield":[120],"a":[121,163],"better":[122],"result,":[123],"coincides":[125,155],"with":[126,137,156],"compressibility.":[129],"also":[131],"extend":[132],"our":[133],"results":[134,161],"side":[138],"information,":[139],"available":[140],"at":[141],"encoder":[144],"decoder.":[146],"In":[147],"case,":[149],"V-V":[151],"version":[152],"no":[153],"longer":[154],"compressibility,":[159],"but":[160],"different":[164],"complexity":[165],"measure.":[166]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}