{"id":"https://openalex.org/W2339185677","doi":"https://doi.org/10.1145/2883817.2883820","title":"Entropy and Minimal Data Rates for State Estimation and Model Detection","display_name":"Entropy and Minimal Data Rates for State Estimation and Model Detection","publication_year":2016,"publication_date":"2016-04-11","ids":{"openalex":"https://openalex.org/W2339185677","doi":"https://doi.org/10.1145/2883817.2883820","mag":"2339185677"},"language":"en","primary_location":{"id":"doi:10.1145/2883817.2883820","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2883817.2883820","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control","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/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":["University of Illinois at Urbana Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085795401","display_name":"Sayan Mitra","orcid":"https://orcid.org/0000-0002-6672-8470"},"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":["University of Illinois at Urbana Champaign, urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana Champaign, urbana, 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":5.6706,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.96039494,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"247","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9879000186920166,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9879000186920166,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9800000190734863,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9736999869346619,"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/estimator","display_name":"Estimator","score":0.707065224647522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6077418327331543},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5904754996299744},{"id":"https://openalex.org/keywords/entropy-estimation","display_name":"Entropy estimation","score":0.5737215280532837},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5634633302688599},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5568446516990662},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.540320634841919},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5065721273422241},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49172165989875793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4914358854293823},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.45650678873062134},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4380282163619995},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.41802647709846497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39153316617012024},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.38634100556373596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3829776346683502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.357763409614563},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.23115459084510803},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18428963422775269},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.15592670440673828},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10427144169807434}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.707065224647522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6077418327331543},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5904754996299744},{"id":"https://openalex.org/C95546049","wikidata":"https://www.wikidata.org/wiki/Q1345207","display_name":"Entropy estimation","level":3,"score":0.5737215280532837},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5634633302688599},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5568446516990662},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.540320634841919},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5065721273422241},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49172165989875793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4914358854293823},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.45650678873062134},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4380282163619995},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.41802647709846497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39153316617012024},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.38634100556373596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3829776346683502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.357763409614563},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.23115459084510803},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18428963422775269},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.15592670440673828},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10427144169807434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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:10.1145/2883817.2883820","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2883817.2883820","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control","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":20,"referenced_works":["https://openalex.org/W45359070","https://openalex.org/W1995266297","https://openalex.org/W1999475301","https://openalex.org/W2011970734","https://openalex.org/W2024171867","https://openalex.org/W2053836930","https://openalex.org/W2053863894","https://openalex.org/W2067603665","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/W2117921285","https://openalex.org/W2152509212","https://openalex.org/W2156216606","https://openalex.org/W2963688046","https://openalex.org/W4212958445","https://openalex.org/W6667282770"],"related_works":["https://openalex.org/W1576537667","https://openalex.org/W2099551891","https://openalex.org/W2042719478","https://openalex.org/W2737808138","https://openalex.org/W3206579266","https://openalex.org/W2161544911","https://openalex.org/W1987336330","https://openalex.org/W4382365107","https://openalex.org/W2773400639","https://openalex.org/W4283791593"],"abstract_inverted_index":{"We":[0,77,99,109,138,182,237],"investigate":[1],"the":[2,10,38,64,97,102,115,121,124,129,135,157,161,174,179,196,205,214,220,234,248,271],"problem":[3],"of":[4,9,12,32,46,53,63,66,84,96,120,123,213,225,229,244,247],"constructing":[5],"exponentially":[6],"converging":[7],"estimates":[8,153],"state":[11,17,148,152,159,222],"a":[13,21,51,80,230,241],"continuous-time":[14],"system":[15,67,136,232],"from":[16,219],"measurements":[18,31,149],"transmitted":[19],"via":[20],"limited-data-rate":[22],"communication":[23],"channel,":[24],"so":[25],"that":[26,69,91,101,143,154,185,239,268],"only":[27],"quantized":[28,145,192,221],"and":[29,128,146],"sampled":[30,147],"continuous":[33],"signals":[34],"are":[35,92,106],"available":[36],"to":[37,150,156],"estimator.":[39],"Following":[40],"prior":[41],"work":[42],"on":[43,178,190],"topological":[44],"entropy":[45,55,86,104,117],"dynamical":[47,231,265],"systems,":[48],"we":[49,209],"introduce":[50],"notion":[52],"estimation":[54,85,116,180,198,206,215],"which":[56,87,224],"captures":[57],"this":[58,171],"data":[59],"rate":[60,168],"in":[61,118,217,255,269],"terms":[62,119],"number":[65],"trajectories":[68,73,95],"approximate":[70],"all":[71],"other":[72,187],"with":[74,200,261],"desired":[75,130,162],"accuracy.":[76],"also":[78,183],"propose":[79,139],"novel":[81],"alternative":[82],"definition":[83],"uses":[88,144],"approximating":[89],"functions":[90],"not":[93],"necessarily":[94],"system.":[98],"show":[100,184,238],"two":[103,226],"notions":[105],"actually":[107],"equivalent.":[108],"establish":[110],"an":[111,140,211],"upper":[112,176],"bound":[113,177],"for":[114],"sum":[122],"system's":[125],"Lipschitz":[126],"constant":[127],"convergence":[131],"rate,":[132],"multiplied":[133],"by":[134,170],"dimension.":[137],"iterative":[141,191],"procedure":[142,172,216],"generate":[151],"converge":[155],"true":[158,235],"at":[160],"exponential":[163,245],"rate.":[164],"The":[165],"average":[166],"bit":[167,201],"utilized":[169],"matches":[173],"derived":[175],"entropy.":[181,207],"no":[186],"estimator":[188],"(based":[189],"measurements)":[193],"can":[194],"perform":[195],"same":[197],"task":[199],"rates":[202],"lower":[203],"than":[204],"Finally,":[208],"develop":[210],"application":[212],"determining,":[218],"measurements,":[223],"competing":[227],"models":[228],"is":[233,252],"model.":[236],"under":[240],"mild":[242],"assumption":[243],"separation":[246],"candidate":[249],"models,":[250],"detection":[251],"always":[253,273],"possible":[254],"finite":[256],"time.":[257],"Our":[258],"numerical":[259],"experiments":[260],"randomly":[262],"generated":[263],"affine":[264],"systems":[266],"suggest":[267],"practice":[270],"algorithm":[272],"works.":[274]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
