{"id":"https://openalex.org/W2044740678","doi":"https://doi.org/10.1109/isit.2013.6620296","title":"A new approach to the entropy power inequality, via rearrangements","display_name":"A new approach to the entropy power inequality, via rearrangements","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2044740678","doi":"https://doi.org/10.1109/isit.2013.6620296","mag":"2044740678"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620296","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620296","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5034420463","display_name":"Liyao Wang","orcid":"https://orcid.org/0000-0002-8931-7367"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liyao Wang","raw_affiliation_strings":["Department of Physics, Yale University, New Haven, CT, USA","Dept. of Phys., Yale Univ. New Haven, New Haven, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Dept. of Phys., Yale Univ. New Haven, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089127356","display_name":"Mokshay Madiman","orcid":"https://orcid.org/0000-0002-2992-1829"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mokshay Madiman","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","Dept. of Math. Sci., Univ. of Delaware, Newark, DE, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Dept. of Math. Sci., Univ. of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9602,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.78800035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"140","issue":null,"first_page":"599","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9728999733924866,"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/entropy-power-inequality","display_name":"Entropy power inequality","score":0.8516674041748047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7509058713912964},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6526587605476379},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5507871508598328},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5502446293830872},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5055732727050781},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4965096116065979},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.4955533742904663},{"id":"https://openalex.org/keywords/differential-entropy","display_name":"Differential entropy","score":0.45234715938568115},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.44879356026649475},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.44629013538360596},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.4408456087112427},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.42999961972236633},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.41697609424591064},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.41670462489128113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36058515310287476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3267214894294739},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.31690147519111633},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1664789319038391},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13451135158538818},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07014322280883789}],"concepts":[{"id":"https://openalex.org/C320580","wikidata":"https://www.wikidata.org/wiki/Q5380810","display_name":"Entropy power inequality","level":5,"score":0.8516674041748047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7509058713912964},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6526587605476379},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5507871508598328},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5502446293830872},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5055732727050781},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4965096116065979},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.4955533742904663},{"id":"https://openalex.org/C124551494","wikidata":"https://www.wikidata.org/wiki/Q3055345","display_name":"Differential entropy","level":4,"score":0.45234715938568115},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.44879356026649475},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.44629013538360596},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.4408456087112427},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.42999961972236633},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.41697609424591064},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.41670462489128113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36058515310287476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3267214894294739},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.31690147519111633},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1664789319038391},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13451135158538818},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07014322280883789},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620296","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620296","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6600000262260437}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310071","display_name":"Indian Institute of Science","ror":"https://ror.org/04dese585"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W157108002","https://openalex.org/W159610323","https://openalex.org/W1968021238","https://openalex.org/W1992631666","https://openalex.org/W1993000235","https://openalex.org/W1995875735","https://openalex.org/W2010141925","https://openalex.org/W2014739224","https://openalex.org/W2030546921","https://openalex.org/W2033020033","https://openalex.org/W2034723588","https://openalex.org/W2043371182","https://openalex.org/W2048251292","https://openalex.org/W2056129277","https://openalex.org/W2080624030","https://openalex.org/W2094654291","https://openalex.org/W2114404076","https://openalex.org/W2171750587","https://openalex.org/W2593488053","https://openalex.org/W2952660351","https://openalex.org/W3021947329","https://openalex.org/W3105573210","https://openalex.org/W4293654739","https://openalex.org/W4300520584"],"related_works":["https://openalex.org/W2300741437","https://openalex.org/W1968021238","https://openalex.org/W2037356780","https://openalex.org/W2963235040","https://openalex.org/W4205235378","https://openalex.org/W3126774021","https://openalex.org/W2398403988","https://openalex.org/W2898188192","https://openalex.org/W2071171073","https://openalex.org/W1616121001"],"abstract_inverted_index":{"A":[0],"new":[1,67],"lower":[2,21],"bound":[3,22],"on":[4],"the":[5,8,29,47,52,55,71],"entropy":[6,30,48,73],"of":[7,10,18,46,84],"sum":[9],"independent":[11],"random":[12],"vectors":[13],"is":[14,23],"demonstrated":[15],"in":[16,51],"terms":[17],"rearrangements.":[19],"This":[20],"better":[24],"than":[25],"that":[26],"given":[27],"by":[28],"power":[31,49,74],"inequality.":[32],"In":[33],"fact,":[34],"we":[35],"use":[36],"it":[37],"to":[38,69],"give":[39,62],"a":[40,63],"new,":[41],"independent,":[42],"and":[43],"simple":[44],"proof":[45],"inequality":[50],"case":[53],"when":[54],"summands":[56],"are":[57],"identically":[58],"distributed.":[59],"We":[60],"also":[61],"more":[64],"involved":[65],"but":[66],"way":[68],"recover":[70],"full":[72],"inequality,":[75],"without":[76],"invoking":[77],"Fisher":[78],"information,":[79],"MMSE":[80],"or":[81],"any":[82],"differentiation":[83],"information":[85],"functionals.":[86]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}