{"id":"https://openalex.org/W7106329371","doi":"https://doi.org/10.1109/itw62417.2025.11240252","title":"Fundamental Limits on Overflow Probability for Variable-Length Codes with Codeword Cost: A Smooth R\u00e9nyi Entropy Approach","display_name":"Fundamental Limits on Overflow Probability for Variable-Length Codes with Codeword Cost: A Smooth R\u00e9nyi Entropy Approach","publication_year":2025,"publication_date":"2025-09-29","ids":{"openalex":"https://openalex.org/W7106329371","doi":"https://doi.org/10.1109/itw62417.2025.11240252"},"language":null,"primary_location":{"id":"doi:10.1109/itw62417.2025.11240252","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw62417.2025.11240252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE Information Theory Workshop (ITW)","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":null,"display_name":"Ryo Nomura","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":true,"raw_author_name":"Ryo Nomura","raw_affiliation_strings":["Waseda University,Center for Data Science,Tokyo,Japan"],"affiliations":[{"raw_affiliation_string":"Waseda University,Center for Data Science,Tokyo,Japan","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.62617492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.28459998965263367,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.28459998965263367,"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/T11269","display_name":"Algorithms and Data Compression","score":0.22110000252723694,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.1873999983072281,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/bounded-function","display_name":"Bounded function","score":0.6366000175476074},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6233999729156494},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.5709999799728394},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.47999998927116394},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.41819998621940613},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.305400013923645},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.3003999888896942}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6366000175476074},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6366000175476074},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6233999729156494},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5709999799728394},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.47999998927116394},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.41819998621940613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3513000011444092},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32420000433921814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.310699999332428},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.305400013923645},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.3003999888896942},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.26969999074935913},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.2621000111103058},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.25859999656677246},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.251800000667572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw62417.2025.11240252","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw62417.2025.11240252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1484170624","https://openalex.org/W1609275552","https://openalex.org/W1990309618","https://openalex.org/W1992600501","https://openalex.org/W1994048160","https://openalex.org/W1995875735","https://openalex.org/W2010340317","https://openalex.org/W2011095115","https://openalex.org/W2013890117","https://openalex.org/W2017379196","https://openalex.org/W2023479037","https://openalex.org/W2066519396","https://openalex.org/W2098751383","https://openalex.org/W2106654982","https://openalex.org/W2115691237","https://openalex.org/W2126590220","https://openalex.org/W2137902998","https://openalex.org/W2140011942","https://openalex.org/W2148949320","https://openalex.org/W2151757972","https://openalex.org/W2155973165","https://openalex.org/W2261921850","https://openalex.org/W2528087602","https://openalex.org/W2558005718","https://openalex.org/W2973913147","https://openalex.org/W3134214575","https://openalex.org/W4312861871","https://openalex.org/W4407098318"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"characterizes":[2],"the":[3,16,31,42,61,66,72],"fundamental":[4],"limits":[5],"on":[6],"overflow":[7,34,51,84],"probability":[8,85],"for":[9,96],"variable-length":[10,98],"codes":[11,99],"with":[12],"codeword":[13],"cost":[14,101],"using":[15,41],"smooth":[17,43,56,73,88],"R\u00e9nyi":[18,89],"entropy":[19,75],"approach.":[20],"For":[21],"general":[22],"sources,":[23],"we":[24,47],"establish":[25],"precise":[26],"finite-length":[27],"bounds,":[28],"proving":[29,69],"that":[30,49],"optimal":[32],"achievable":[33,62],"threshold":[35,63],"R(n,":[36],"\u03b5)":[37],"is":[38],"bounded":[39],"by":[40,55],"max":[44,74],"entropy.":[45,58],"Conversely,":[46],"demonstrate":[48],"unachievable":[50],"thresholds":[52],"are":[53],"characterized":[54],"min":[57],"We":[59],"extend":[60],"results":[64],"to":[65,71],"asymptotic":[67],"case,":[68],"convergence":[70],"rate.":[76],"Our":[77],"work":[78],"establishes":[79],"a":[80,92],"direct":[81],"connection":[82],"between":[83],"bounds":[86],"and":[87],"entropy,":[90],"providing":[91],"comprehensive":[93],"theoretical":[94],"framework":[95],"analyzing":[97],"under":[100],"constraints.":[102]},"counts_by_year":[],"updated_date":"2025-11-23T05:13:22.807545","created_date":"2025-11-23T00:00:00"}