{"id":"https://openalex.org/W2886889481","doi":"https://doi.org/10.1109/isit.2018.8437849","title":"A Note on the Joint Entropy of N/2-Wise Independence","display_name":"A Note on the Joint Entropy of N/2-Wise Independence","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2886889481","doi":"https://doi.org/10.1109/isit.2018.8437849","mag":"2886889481"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","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/A5012510300","display_name":"Amey Bhangale","orcid":"https://orcid.org/0000-0002-3878-9241"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Amey Bhangale","raw_affiliation_strings":["Dept. of Applied Math and Computer Science, The Weizmann Institute of Science"],"affiliations":[{"raw_affiliation_string":"Dept. of Applied Math and Computer Science, The Weizmann Institute of Science","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022681951","display_name":"Aditya Potukuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Aditya Potukuchi","raw_affiliation_strings":["Dept. of Computer Science, Rutgers University"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Rutgers University","institution_ids":["https://openalex.org/I4210096112"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012510300"],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12866009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2560","last_page":"2564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9984999895095825,"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":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.6157993078231812},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6095321178436279},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5772203207015991},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5242681503295898},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.515124499797821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.495204359292984},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.48116883635520935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4162612557411194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41072767972946167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34785985946655273},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.30735114216804504},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2564626932144165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07432544231414795}],"concepts":[{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.6157993078231812},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6095321178436279},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5772203207015991},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5242681503295898},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.515124499797821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.495204359292984},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.48116883635520935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4162612557411194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41072767972946167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34785985946655273},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.30735114216804504},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2564626932144165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07432544231414795},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2018.8437849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2010992853","https://openalex.org/W2068871408","https://openalex.org/W2109084006","https://openalex.org/W2963254611"],"related_works":["https://openalex.org/W2040052409","https://openalex.org/W2149931498","https://openalex.org/W2889261288","https://openalex.org/W1519338247","https://openalex.org/W2949821122","https://openalex.org/W1672097335","https://openalex.org/W2034921015","https://openalex.org/W2147544021","https://openalex.org/W59993211","https://openalex.org/W2051944318"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3,27],"prove":[4],"a":[5,53],"tight":[6],"lower":[7,30],"bound":[8],"on":[9,43,52],"the":[10,40],"joint":[11],"entropy":[12],"of":[13,39],"n":[14],"unbiased":[15],"Bernoulli":[16],"random":[17],"variables":[18],"which":[19],"are":[20],"n/2-wise":[21],"independent.":[22],"For":[23],"general":[24],"k-wise":[25],"independence,":[26],"give":[28],"new":[29],"bounds":[31],"by":[32,56],"adapting":[33],"Navon":[34],"and":[35,58],"Samorodnitsky's":[36],"Fourier":[37],"proof":[38],"`LP":[41],"bound'":[42],"error":[44],"correcting":[45],"codes.":[46],"This":[47],"counts":[48],"as":[49],"partial":[50],"progress":[51],"problem":[54],"asked":[55],"Gavinsky":[57],"Pudlak":[59],"in":[60],"[3].":[61]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}