{"id":"https://openalex.org/W2108355288","doi":"https://doi.org/10.1109/isit.2004.1365078","title":"On the maximum entropy theorem for complex random vectors","display_name":"On the maximum entropy theorem for complex random vectors","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2108355288","doi":"https://doi.org/10.1109/isit.2004.1365078","mag":"2108355288"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365078","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5113688921","display_name":"Georg Taub\u00f6ck","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122474","display_name":"Forschungszentrum Telekommunikation Wien","ror":"https://ror.org/026nftk33","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210122474"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"G. Taubock","raw_affiliation_strings":["Telecommunications Research Center Vienna (ftw.), Tech Gate Vienna, Vienna, Austria","Telecommun. Res. Center Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecommunications Research Center Vienna (ftw.), Tech Gate Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I4210122474"]},{"raw_affiliation_string":"Telecommun. Res. Center Vienna, Austria","institution_ids":["https://openalex.org/I4210122474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113688921"],"corresponding_institution_ids":["https://openalex.org/I4210122474"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9696000218391418,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.963699996471405,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6481330394744873},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6364647746086121},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.549832284450531},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5478406548500061},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5418241024017334},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.5325241088867188},{"id":"https://openalex.org/keywords/multivariate-random-variable","display_name":"Multivariate random variable","score":0.4616471827030182},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4218906760215759},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.41735613346099854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4115299880504608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3233436048030853},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3031863570213318},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22880607843399048},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16443228721618652},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0752163827419281}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6481330394744873},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6364647746086121},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.549832284450531},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5478406548500061},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5418241024017334},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.5325241088867188},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.4616471827030182},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4218906760215759},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.41735613346099854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4115299880504608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3233436048030853},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3031863570213318},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22880607843399048},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16443228721618652},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0752163827419281},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"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.2004.1365078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365078","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1552280654","https://openalex.org/W2098918476","https://openalex.org/W2130509920","https://openalex.org/W2164747353","https://openalex.org/W2798909945","https://openalex.org/W6750968397"],"related_works":["https://openalex.org/W170825502","https://openalex.org/W1976411104","https://openalex.org/W2052718200","https://openalex.org/W3195391652","https://openalex.org/W1498343739","https://openalex.org/W3023138785","https://openalex.org/W3022473826","https://openalex.org/W2962891288","https://openalex.org/W2365690901","https://openalex.org/W4243826610"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,20,35,40],"complex":[4,41],"random":[5],"vectors":[6],"and":[7,24],"study":[8],"some":[9],"important":[10],"properties.":[11],"We":[12],"develop":[13],"a":[14,31],"theory":[15],"which":[16],"is":[17],"based":[18],"on":[19],"concept":[21],"of":[22,34],"covariance":[23],"pseudo-covariance":[25],"matrix":[26],"in":[27],"order":[28],"to":[29],"prove":[30],"stronger":[32],"version":[33],"maximum":[36],"entropy":[37],"theorem":[38],"for":[39],"multivariate":[42],"case":[43],"(F.D.":[44],"Neeser":[45],"et":[46],"al.":[47],"1993).":[48]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
