{"id":"https://openalex.org/W2001147081","doi":"https://doi.org/10.1134/s0032946014040085","title":"Universal coding for memoryless sources with countably infinite alphabets","display_name":"Universal coding for memoryless sources with countably infinite alphabets","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2001147081","doi":"https://doi.org/10.1134/s0032946014040085","mag":"2001147081"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946014040085","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946014040085","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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/A5088880021","display_name":"Boris D. Kudryashov","orcid":"https://orcid.org/0000-0002-5865-5283"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"B. D. Kudryashov","raw_affiliation_strings":["St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024053118","display_name":"Anton V. Porov","orcid":null},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Porov","raw_affiliation_strings":["St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07128361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"4","first_page":"390","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9975000023841858,"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":0.9975000023841858,"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/T12029","display_name":"DNA and Biological Computing","score":0.9929999709129333,"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"}},{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9896000027656555,"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/mathematics","display_name":"Mathematics","score":0.8807725310325623},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6100975871086121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5164104104042053},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5131414532661438},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5117182731628418},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.4484165906906128},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4339646100997925},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.43097764253616333},{"id":"https://openalex.org/keywords/shannon\u2013fano-coding","display_name":"Shannon\u2013Fano coding","score":0.42553505301475525},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.35609716176986694},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17300531268119812},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14010462164878845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10523611307144165}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8807725310325623},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6100975871086121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5164104104042053},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5131414532661438},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5117182731628418},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.4484165906906128},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4339646100997925},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.43097764253616333},{"id":"https://openalex.org/C130811719","wikidata":"https://www.wikidata.org/wiki/Q2645","display_name":"Shannon\u2013Fano coding","level":4,"score":0.42553505301475525},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.35609716176986694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17300531268119812},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14010462164878845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10523611307144165},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0032946014040085","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946014040085","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W788498898","https://openalex.org/W849766940","https://openalex.org/W1587231161","https://openalex.org/W1968590503","https://openalex.org/W1971161599","https://openalex.org/W1971619812","https://openalex.org/W1999120268","https://openalex.org/W2030442875","https://openalex.org/W2046825849","https://openalex.org/W2099111195","https://openalex.org/W2114700786","https://openalex.org/W2115613939","https://openalex.org/W2122962290","https://openalex.org/W2123744935","https://openalex.org/W2128777897","https://openalex.org/W2142901448","https://openalex.org/W2183235533","https://openalex.org/W2797816625","https://openalex.org/W3099411104","https://openalex.org/W4205855417"],"related_works":["https://openalex.org/W2951041183","https://openalex.org/W2147544396","https://openalex.org/W2121173360","https://openalex.org/W4302034968","https://openalex.org/W2022228651","https://openalex.org/W2158565344","https://openalex.org/W1570757625","https://openalex.org/W2000446566","https://openalex.org/W2147760688","https://openalex.org/W2001147081"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,63],"asymptotically":[3],"efficient":[4],"coding":[5,35,58],"strategy":[6],"for":[7,37],"a":[8,15,54],"stationary":[9],"countably":[10],"infinite":[11],"source":[12,28],"determined":[13],"over":[14],"set":[16],"of":[17,26,65,68],"nonnegative":[18,55],"integers.":[19],"If":[20],"the":[21,27],"kth":[22],"moment":[23],"\u00b5":[24],"k":[25],"data":[29],"is":[30,43,53,60],"finite,":[31],"then":[32],"asymptotic":[33],"average":[34],"redundancy":[36],"length-n":[38],"blocks,":[39],"n":[40],"\u2192":[41],"\u221e,":[42],"upper":[44],"bounded":[45],"by":[46],"C":[47,52],"(log":[48],"n/n)":[49],"k/(k+1),":[50],"where":[51],"constant.":[56],"The":[57],"efficiency":[59],"demonstrated":[61],"via":[62],"example":[64],"scalar":[66],"quantization":[67],"random":[69],"variables":[70],"with":[71],"generalized":[72],"Gaussian":[73],"distribution.":[74]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
