{"id":"https://openalex.org/W2969301699","doi":"https://doi.org/10.1109/isit.2019.8849703","title":"A Correlation Measure Based on Vector-Valued L <sub>p</sub> Norms","display_name":"A Correlation Measure Based on Vector-Valued L <sub>p</sub> Norms","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2969301699","doi":"https://doi.org/10.1109/isit.2019.8849703","mag":"2969301699"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 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/A5040097419","display_name":"Mohammad Mahdi Mojahedian","orcid":"https://orcid.org/0000-0002-1475-0078"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. M. Mojahedian","raw_affiliation_strings":["Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004602538","display_name":"Salman Beigi","orcid":"https://orcid.org/0000-0003-3588-4662"},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Beigi","raw_affiliation_strings":["School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015573260","display_name":"Amin Gohari","orcid":"https://orcid.org/0000-0002-9667-7627"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. Gohari","raw_affiliation_strings":["Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044522990","display_name":"Mohammad Hossein Yassaee","orcid":"https://orcid.org/0000-0001-9353-3073"},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. H. Yassaee","raw_affiliation_strings":["School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028840314","display_name":"Mohammad Reza Aref","orcid":"https://orcid.org/0000-0002-4321-0345"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. R. Aref","raw_affiliation_strings":["Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Information Systems and Security Lab. (ISSL), Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040097419"],"corresponding_institution_ids":["https://openalex.org/I133529467"],"apc_list":null,"apc_paid":null,"fwci":0.1205,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46363064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1132","last_page":"1136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.992900013923645,"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/measure","display_name":"Measure (data warehouse)","score":0.7439708113670349},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6292189359664917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5392862558364868},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5363285541534424},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.5241575241088867},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4783629775047302},{"id":"https://openalex.org/keywords/total-correlation","display_name":"Total correlation","score":0.45530053973197937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44641435146331787},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.43341347575187683},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.42890745401382446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32273879647254944},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3200269937515259},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2393903136253357},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2197743058204651}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7439708113670349},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6292189359664917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5392862558364868},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5363285541534424},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.5241575241088867},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4783629775047302},{"id":"https://openalex.org/C109510780","wikidata":"https://www.wikidata.org/wiki/Q17149502","display_name":"Total correlation","level":3,"score":0.45530053973197937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44641435146331787},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.43341347575187683},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.42890745401382446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32273879647254944},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3200269937515259},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2393903136253357},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2197743058204651},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2019.8849703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","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":20,"referenced_works":["https://openalex.org/W1899372466","https://openalex.org/W2081349667","https://openalex.org/W2082592501","https://openalex.org/W2103674915","https://openalex.org/W2114805880","https://openalex.org/W2148587342","https://openalex.org/W2174534725","https://openalex.org/W2178986096","https://openalex.org/W2762400634","https://openalex.org/W2804898978","https://openalex.org/W2962725488","https://openalex.org/W2963423396","https://openalex.org/W2963715537","https://openalex.org/W2963806987","https://openalex.org/W2975625022","https://openalex.org/W2995235436","https://openalex.org/W3099562348","https://openalex.org/W3103409729","https://openalex.org/W4254362479","https://openalex.org/W6751582207"],"related_works":["https://openalex.org/W2104856269","https://openalex.org/W2057609120","https://openalex.org/W842936808","https://openalex.org/W2037708626","https://openalex.org/W3100320973","https://openalex.org/W2075715810","https://openalex.org/W3001768652","https://openalex.org/W2386295708","https://openalex.org/W2530029028","https://openalex.org/W2371799142"],"abstract_inverted_index":{"In":[0,66],"this":[1,62],"paper,":[2],"a":[3,14,33,70],"new":[4],"measure":[5,11,30,63],"of":[6,22,35,38,61,64,76,87],"correlation":[7],"is":[8,18,31],"introduced.":[9],"This":[10],"depends":[12],"on":[13,72],"parameter":[15],"\u03b1,":[16],"and":[17,42,59],"defined":[19],"in":[20,85],"terms":[21,86],"vector-valued":[23],"L":[24],"<sub":[25],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[27],"norms.":[28],"The":[29],"within":[32],"constant":[34],"the":[36,45,73,77,81,88],"exponential":[37],"\u03b1-R\u00e9nyi":[39,89],"mutual":[40,90],"information,":[41],"reduces":[43],"to":[44,93],"trace":[46],"norm":[47],"(total":[48],"variation":[49,83],"distance)":[50],"for":[51],"\u03b1":[52],"=":[53],"1.":[54],"We":[55],"provide":[56],"some":[57],"properties":[58],"applications":[60],"correlation.":[65],"particular,":[67],"we":[68],"establish":[69],"bound":[71],"secrecy":[74],"exponent":[75],"wiretap":[78],"channel":[79],"(under":[80],"total":[82],"metric)":[84],"information":[91],"according":[92],"Csisz\u00e1r's":[94],"proposal.":[95]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}