{"id":"https://openalex.org/W3080956231","doi":"https://doi.org/10.1109/isit44484.2020.9174294","title":"Exact Expressions in Source and Channel Coding Problems Using Integral Representations","display_name":"Exact Expressions in Source and Channel Coding Problems Using Integral Representations","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3080956231","doi":"https://doi.org/10.1109/isit44484.2020.9174294","mag":"3080956231"},"language":"en","primary_location":{"id":"doi:10.1109/isit44484.2020.9174294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 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/A5028774270","display_name":"Neri Merhav","orcid":"https://orcid.org/0000-0002-9547-3243"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Neri Merhav","raw_affiliation_strings":["Technion-Israel Institute of Technology,Andrew and Erna Viterbi Faculty of Electrical Engineering,Technion City,Haifa,Israel,3200003","Andrew and Erna Viterbi Faculty of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology,Andrew and Erna Viterbi Faculty of Electrical Engineering,Technion City,Haifa,Israel,3200003","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Andrew and Erna Viterbi Faculty of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032026808","display_name":"Igal Sason","orcid":"https://orcid.org/0000-0001-5681-1273"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Igal Sason","raw_affiliation_strings":["Technion-Israel Institute of Technology,Andrew and Erna Viterbi Faculty of Electrical Engineering,Technion City,Haifa,Israel,3200003","Andrew and Erna Viterbi Faculty of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology,Andrew and Erna Viterbi Faculty of Electrical Engineering,Technion City,Haifa,Israel,3200003","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Andrew and Erna Viterbi Faculty of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028774270"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07714546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2343","last_page":"2348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9983999729156494,"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":0.9969000220298767,"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/logarithm","display_name":"Logarithm","score":0.6569145321846008},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5976665616035461},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5743921995162964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5723633170127869},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.5560836791992188},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4984300136566162},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.48781660199165344},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.48288774490356445},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.47806766629219055},{"id":"https://openalex.org/keywords/differential-entropy","display_name":"Differential entropy","score":0.4338505268096924},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4203370213508606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3958316445350647},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3233436048030853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32110273838043213},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.30434727668762207},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.2795577943325043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2663326859474182},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17853307723999023},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.13429555296897888},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11558070778846741},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09532257914543152}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6569145321846008},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5976665616035461},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5743921995162964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5723633170127869},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.5560836791992188},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4984300136566162},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.48781660199165344},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.48288774490356445},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.47806766629219055},{"id":"https://openalex.org/C124551494","wikidata":"https://www.wikidata.org/wiki/Q3055345","display_name":"Differential entropy","level":4,"score":0.4338505268096924},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4203370213508606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3958316445350647},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3233436048030853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32110273838043213},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.30434727668762207},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.2795577943325043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2663326859474182},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17853307723999023},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.13429555296897888},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11558070778846741},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09532257914543152},{"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:10.1109/isit44484.2020.9174294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 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":13,"referenced_works":["https://openalex.org/W1997834106","https://openalex.org/W2007341361","https://openalex.org/W2053599837","https://openalex.org/W2277915937","https://openalex.org/W2566505556","https://openalex.org/W2591340843","https://openalex.org/W2607913557","https://openalex.org/W2801213956","https://openalex.org/W2998276402","https://openalex.org/W3024191450","https://openalex.org/W3098914495","https://openalex.org/W3100404149","https://openalex.org/W3103887321"],"related_works":["https://openalex.org/W2920676536","https://openalex.org/W3124771927","https://openalex.org/W2385620600","https://openalex.org/W4225940264","https://openalex.org/W2750125254","https://openalex.org/W2057609120","https://openalex.org/W2377943613","https://openalex.org/W2889544313","https://openalex.org/W1541425763","https://openalex.org/W2126391818"],"abstract_inverted_index":{"We":[0,18],"explore":[1],"known":[2],"integral":[3,65,125],"representations":[4,66],"of":[5,37,40,48,51,59,72,77,92,108,127],"the":[6,38,46,57,75,78,84,104,109,128,143],"logarithmic":[7,129],"and":[8,11,27,34,45,87,99,103,122,131],"power":[9],"functions,":[10],"demonstrate":[12],"their":[13],"usefulness":[14],"for":[15,24],"information-theoretic":[16],"analyses.":[17],"obtain":[19],"compact,":[20],"easily-computable":[21],"exact":[22],"formulas":[23],"several":[25],"source":[26],"channel":[28,85,114],"coding":[29],"problems":[30],"that":[31],"involve":[32],"expectations":[33],"higher":[35],"moments":[36],"logarithm":[39],"a":[41,52,70,90,139],"positive":[42,61],"random":[43,54,62,116],"variable":[44,55],"moment":[47],"order":[49],"\u03c1>0":[50],"non-negative":[53],"(or":[56],"sum":[58],"i.i.d.":[60],"variables).":[63],"These":[64],"are":[67,134],"used":[68],"in":[69,80,151],"variety":[71],"applications,":[73],"including":[74],"calculation":[76],"degradation":[79],"mutual":[81],"information":[82],"between":[83],"input":[86],"output":[88],"as":[89,138],"result":[91],"jamming,":[93],"universal":[94],"lossless":[95],"data":[96],"compression,":[97],"Shannon":[98],"R\u00e9nyi":[100],"entropy":[101],"evaluations,":[102],"ergodic":[105],"capacity":[106],"evaluation":[107],"single-input,":[110],"multiple-output":[111],"(SIMO)":[112],"Gaussian":[113],"with":[115],"parameters":[117],"(known":[118],"to":[119,136,142],"both":[120],"transmitter":[121],"receiver).":[123],"The":[124],"representation":[126],"function":[130],"its":[132],"variants":[133],"anticipated":[135],"serve":[137],"rigorous":[140],"alternative":[141],"popular":[144],"(but":[145],"non-rigorous)":[146],"replica":[147],"method":[148],"(at":[149],"least":[150],"some":[152],"situations).":[153]},"counts_by_year":[],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
