{"id":"https://openalex.org/W2089522099","doi":"https://doi.org/10.1109/isit.2009.5205651","title":"Mismatched estimation and relative entropy","display_name":"Mismatched estimation and relative entropy","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2089522099","doi":"https://doi.org/10.1109/isit.2009.5205651","mag":"2089522099"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 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/A5103184697","display_name":"Sergio Verd\u00fa","orcid":"https://orcid.org/0000-0003-1254-9116"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergio Verdu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Department of Electrical Engineering, Princeton University, NJ 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103184697"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":1.6886,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85140513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"155","issue":null,"first_page":"809","last_page":"813"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9987000226974487,"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":0.9987000226974487,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.7149525284767151},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6651058197021484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6570686101913452},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5953400135040283},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5695996880531311},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.532245397567749},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5227370858192444},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5059530138969421},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4847961962223053},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"Conditional expectation","score":0.46086347103118896},{"id":"https://openalex.org/keywords/conditional-probability-distribution","display_name":"Conditional probability distribution","score":0.4157339334487915},{"id":"https://openalex.org/keywords/entropy-estimation","display_name":"Entropy estimation","score":0.41546037793159485},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4125879406929016},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.41171085834503174},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.39451026916503906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3762015998363495},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07544094324111938}],"concepts":[{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.7149525284767151},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6651058197021484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6570686101913452},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5953400135040283},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5695996880531311},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.532245397567749},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5227370858192444},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5059530138969421},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4847961962223053},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.46086347103118896},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.4157339334487915},{"id":"https://openalex.org/C95546049","wikidata":"https://www.wikidata.org/wiki/Q1345207","display_name":"Entropy estimation","level":3,"score":0.41546037793159485},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4125879406929016},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.41171085834503174},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.39451026916503906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3762015998363495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07544094324111938},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.0},{"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2009.5205651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.308.2354","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.308.2354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.princeton.edu/~verdu/reprints/VerAug2010.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W634797762","https://openalex.org/W1549664537","https://openalex.org/W1965555277","https://openalex.org/W1989292836","https://openalex.org/W2014956810","https://openalex.org/W2019667538","https://openalex.org/W2054243772","https://openalex.org/W2056195236","https://openalex.org/W2060491449","https://openalex.org/W2072184935","https://openalex.org/W2097695636","https://openalex.org/W2102313708","https://openalex.org/W2102707819","https://openalex.org/W2103827839","https://openalex.org/W2104072072","https://openalex.org/W2111510771","https://openalex.org/W2111616148","https://openalex.org/W2114404076","https://openalex.org/W2130992215","https://openalex.org/W2135278638","https://openalex.org/W2140823577","https://openalex.org/W2146169717","https://openalex.org/W2153463205","https://openalex.org/W2156509503","https://openalex.org/W2167455364","https://openalex.org/W2170827277","https://openalex.org/W2295885856","https://openalex.org/W2382222378","https://openalex.org/W2559990214","https://openalex.org/W3099354821","https://openalex.org/W3100690807","https://openalex.org/W3106331132","https://openalex.org/W3137236802","https://openalex.org/W4298366733","https://openalex.org/W6679700221"],"related_works":["https://openalex.org/W4283013026","https://openalex.org/W2509134767","https://openalex.org/W1506499624","https://openalex.org/W3099813660","https://openalex.org/W2071902828","https://openalex.org/W4252827860","https://openalex.org/W2089522099","https://openalex.org/W2136135636","https://openalex.org/W4313380927","https://openalex.org/W2766006549"],"abstract_inverted_index":{"A":[0],"random":[1,64],"variable":[2],"with":[3],"distribution":[4,23],"P":[5],"is":[6,12,24,47,104],"observed":[7],"in":[8,79],"Gaussian":[9],"noise":[10],"and":[11,66,103],"estimated":[13],"by":[14,43,85],"a":[15,72,92,100],"minimum":[16],"mean-square":[17,39],"estimator":[18,46],"that":[19,21,29],"assumes":[20],"the":[22,30,37,44,49,86,107],"Q.":[25],"This":[26,53],"paper":[27],"shows":[28],"integral":[31],"over":[32],"all":[33],"signal-to-noise":[34],"ratios":[35],"of":[36,55,76,81,94],"excess":[38],"estimation":[40],"error":[41],"incurred":[42],"mismatched":[45],"twice":[48],"relative":[50,56,96],"entropy":[51,57,97],"D(P\u2016Q).":[52],"representation":[54,75],"can":[58,67],"be":[59,68],"generalized":[60],"to":[61,70],"non":[62],"real-valued":[63],"variables,":[65],"particularized":[69],"give":[71],"new":[73,87],"general":[74],"mutual":[77],"information":[78],"terms":[80],"conditional":[82],"means.":[83],"Inspired":[84],"representation,":[88],"we":[89],"also":[90],"propose":[91],"definition":[93],"free":[95,110],"which":[98],"fills":[99],"gap":[101],"in,":[102],"consistent":[105],"with,":[106],"literature":[108],"on":[109],"probability.":[111]},"counts_by_year":[{"year":2021,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}