{"id":"https://openalex.org/W2773400639","doi":"https://doi.org/10.1109/tac.2017.2782478","title":"Entropy and Minimal Bit Rates for State Estimation and Model Detection","display_name":"Entropy and Minimal Bit Rates for State Estimation and Model Detection","publication_year":2017,"publication_date":"2017-12-11","ids":{"openalex":"https://openalex.org/W2773400639","doi":"https://doi.org/10.1109/tac.2017.2782478","mag":"2773400639"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2782478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2782478","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5086321981","display_name":"Daniel Liberzon","orcid":"https://orcid.org/0000-0003-2383-0114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Liberzon","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Champaign, IL, USA"],"raw_orcid":"https://orcid.org/0000-0003-2383-0114","affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sayan Mitra","orcid":"https://orcid.org/0000-0001-7082-5516"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sayan Mitra","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Champaign, IL, USA"],"raw_orcid":"https://orcid.org/0000-0001-7082-5516","affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6752,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.9354806,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"63","issue":"10","first_page":"3330","last_page":"3344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11236","display_name":"Control Systems and Identification","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/computer-science","display_name":"Computer science","score":0.5042129755020142},{"id":"https://openalex.org/keywords/entropy-estimation","display_name":"Entropy estimation","score":0.46856218576431274},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45873111486434937},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.4268271028995514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.375236839056015},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3750566840171814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32859402894973755},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14772728085517883}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5042129755020142},{"id":"https://openalex.org/C95546049","wikidata":"https://www.wikidata.org/wiki/Q1345207","display_name":"Entropy estimation","level":3,"score":0.46856218576431274},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45873111486434937},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4268271028995514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.375236839056015},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3750566840171814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32859402894973755},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14772728085517883},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2017.2782478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2782478","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1437302374","display_name":null,"funder_award_id":"FA9550-17-1-0236","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W26528315","https://openalex.org/W45359070","https://openalex.org/W94566284","https://openalex.org/W172589331","https://openalex.org/W184169746","https://openalex.org/W1578936488","https://openalex.org/W1968975267","https://openalex.org/W1991286145","https://openalex.org/W1995266297","https://openalex.org/W1999475301","https://openalex.org/W2011970734","https://openalex.org/W2024171867","https://openalex.org/W2024251191","https://openalex.org/W2053836930","https://openalex.org/W2064620679","https://openalex.org/W2067603665","https://openalex.org/W2072902748","https://openalex.org/W2078162013","https://openalex.org/W2081817659","https://openalex.org/W2082782487","https://openalex.org/W2095363739","https://openalex.org/W2096584475","https://openalex.org/W2099111195","https://openalex.org/W2111418234","https://openalex.org/W2117921285","https://openalex.org/W2130613450","https://openalex.org/W2152509212","https://openalex.org/W2156216606","https://openalex.org/W2317517759","https://openalex.org/W2339185677","https://openalex.org/W2469473010","https://openalex.org/W2492473950","https://openalex.org/W2509505087","https://openalex.org/W2531582216","https://openalex.org/W2569338951","https://openalex.org/W2576277975","https://openalex.org/W2588502062","https://openalex.org/W2606556551","https://openalex.org/W2768831161","https://openalex.org/W2963582268","https://openalex.org/W2963688046","https://openalex.org/W4212958445","https://openalex.org/W4248646522","https://openalex.org/W4299830399","https://openalex.org/W4301747304","https://openalex.org/W4394645738","https://openalex.org/W6601819192","https://openalex.org/W6728707321","https://openalex.org/W6731923558","https://openalex.org/W6737994417","https://openalex.org/W6745795430"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W1895696520","https://openalex.org/W2746507124","https://openalex.org/W2128917611","https://openalex.org/W4388282179","https://openalex.org/W2024322383","https://openalex.org/W2972275443","https://openalex.org/W2770228989","https://openalex.org/W1963545232"],"abstract_inverted_index":{"We":[0,33,63,109,126,217],"study":[1],"a":[2,210,221],"notion":[3],"of":[4,16,19,39,51,74,77,90,171,193,205,209,224,227],"<italic":[5],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">estimation":[7],"entropy</i>":[8],"for":[9],"continuous-time":[10],"nonlinear":[11],"systems,":[12],"formulated":[13],"in":[14,72,197,234],"terms":[15,73],"the":[17,52,57,69,75,78,87,91,95,102,142,146,159,164,176,185,194,200,214,228],"number":[18],"system":[20,96,212],"trajectories":[21,26,50],"that":[22,46,56,131,139,219],"approximate":[23],"all":[24],"other":[25,169],"up":[27],"to":[28,114,135,141],"an":[29,36,65,83,128,191],"exponentially":[30],"decaying":[31],"error.":[32],"also":[34],"consider":[35],"alternative":[37],"definition":[38],"estimation":[40,70,103,116,165,178,186,195],"entropy,":[41,166],"which":[42,204],"uses":[43,132],"approximating":[44],"functions":[45],"are":[47,61],"not":[48],"necessarily":[49],"system,":[53],"and":[54,82,117,122,167],"show":[55,218],"two":[58,206],"entropy":[59,71,104],"notions":[60],"equivalent.":[62],"establish":[64],"upper":[66,84,161],"bound":[67,85,100,162],"on":[68,86,101,163],"sum":[76],"desired":[79,147],"convergence":[80],"rate":[81,153],"matrix":[88],"measure":[89],"Jacobian,":[92],"multiplied":[93],"by":[94,155],"dimension.":[97],"A":[98],"lower":[99,183],"is":[105,213],"developed":[106],"as":[107],"well.":[108],"then":[110],"turn":[111],"our":[112],"attention":[113],"state":[115,124,137,144,202],"model":[118],"detection":[119,231],"with":[120,180],"quantized":[121,201],"sampled":[123],"measurements.":[125],"describe":[127],"iterative":[129],"procedure":[130,157,196],"such":[133],"measurements":[134],"generate":[136],"estimates":[138],"converge":[140],"true":[143,215],"at":[145],"exponential":[148],"rate.":[149],"The":[150],"average":[151],"bit":[152,181],"utilized":[154],"this":[156,172],"matches":[158],"derived":[160],"no":[168],"algorithm":[170],"type":[173],"can":[174],"perform":[175],"same":[177],"task":[179],"rates":[182],"than":[184],"entropy.":[187],"Finally,":[188],"we":[189],"discuss":[190],"application":[192],"determining,":[198],"from":[199],"measurements,":[203],"competing":[207],"models":[208],"dynamical":[211],"model.":[216],"under":[220],"mild":[222],"assumption":[223],"\u201cexponential":[225],"separation\u201d":[226],"candidate":[229],"models,":[230],"always":[232],"happens":[233],"finite":[235],"time.":[236]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
