{"id":"https://openalex.org/W2170416251","doi":"https://doi.org/10.1109/allerton.2010.5706895","title":"Divergence-based characterization of fundamental limitations of adaptive dynamical systems","display_name":"Divergence-based characterization of fundamental limitations of adaptive dynamical systems","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2170416251","doi":"https://doi.org/10.1109/allerton.2010.5706895","mag":"2170416251"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5706895","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706895","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1010.2286","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044844161","display_name":"Maxim Raginsky","orcid":"https://orcid.org/0000-0002-5586-9219"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Maxim Raginsky","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044844161"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18771649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"107","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9932000041007996,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.675910234451294},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6301282644271851},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6203916668891907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5076867341995239},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5033115744590759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4525732696056366},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45113545656204224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4435686469078064},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.41917282342910767},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.41840124130249023},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11934006214141846}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.675910234451294},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6301282644271851},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6203916668891907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5076867341995239},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5033115744590759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4525732696056366},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45113545656204224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4435686469078064},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.41917282342910767},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41840124130249023},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11934006214141846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/allerton.2010.5706895","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706895","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1010.2286","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.2286","pdf_url":"https://arxiv.org/pdf/1010.2286","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2170416251","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1010.2286v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.750.6069","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.750.6069","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1010.2286.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1010.2286","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1010.2286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1010.2286","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.2286","pdf_url":"https://arxiv.org/pdf/1010.2286","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W142956860","https://openalex.org/W1495491089","https://openalex.org/W1524622012","https://openalex.org/W1529558080","https://openalex.org/W1538452572","https://openalex.org/W1569320505","https://openalex.org/W1592301621","https://openalex.org/W1963488305","https://openalex.org/W1999918998","https://openalex.org/W2055761669","https://openalex.org/W2089063495","https://openalex.org/W2094601947","https://openalex.org/W2106864314","https://openalex.org/W2125668638","https://openalex.org/W2144578442","https://openalex.org/W2144792840","https://openalex.org/W2156675727","https://openalex.org/W2171091444","https://openalex.org/W2276299490","https://openalex.org/W6629743318"],"related_works":["https://openalex.org/W2943744569","https://openalex.org/W188036482","https://openalex.org/W1513109202","https://openalex.org/W2885233044","https://openalex.org/W2596830659","https://openalex.org/W1973081829","https://openalex.org/W2226640823","https://openalex.org/W3083218275","https://openalex.org/W3154464254","https://openalex.org/W2799186078","https://openalex.org/W2021774297","https://openalex.org/W3047198505","https://openalex.org/W1605708294","https://openalex.org/W3014510663","https://openalex.org/W3038622104","https://openalex.org/W2783766106","https://openalex.org/W2093839041","https://openalex.org/W3045431839","https://openalex.org/W3108843476","https://openalex.org/W2972765636"],"abstract_inverted_index":{"Adaptive":[0],"dynamical":[1,45],"systems":[2],"arise":[3],"in":[4,58,93],"a":[5,43,49,59,62,120,140,166],"multitude":[6],"of":[7,21,27,38,61,83,89,96,116,128,142,169],"contexts,":[8],"e.g.,":[9],"optimization,":[10],"control,":[11],"communications,":[12],"signal":[13],"processing,":[14],"and":[15,98,102],"machine":[16],"learning.":[17],"A":[18],"precise":[19],"characterization":[20],"their":[22],"fundamental":[23],"limitations":[24],"is":[25,137,148],"therefore":[26],"paramount":[28],"importance.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33,118],"consider":[34],"the":[35,56,75,78,84,87,94,100,103,108,114,124,129,133,157,170],"general":[36,146],"problem":[37],"adaptively":[39],"controlling":[40,97],"and/or":[41],"identifying":[42],"stochastic":[44,178],"system,":[46,101],"where":[47],"our":[48],"priori":[50,121],"knowledge":[51],"allows":[52],"us":[53],"to":[54,150,164,174],"place":[55],"system":[57],"subset":[60],"metric":[63,79,158],"space":[64],"(the":[65],"uncertainty":[66,85,105,130],"set).":[67],"We":[68],"present":[69],"an":[70,176],"information-theoretic":[71],"meta-theorem":[72],"that":[73],"captures":[74],"trade-off":[76],"between":[77],"complexity":[80],"(or":[81],"richness)":[82],"set,":[86,131],"amount":[88],"information":[90,122,134,143],"acquired":[91,135],"online":[92,136],"process":[95],"observing":[99],"residual":[104],"remaining":[106],"after":[107],"observations":[109],"have":[110],"been":[111],"collected.":[112],"Following":[113],"approach":[115],"Zames,":[117],"quantify":[119],"by":[123],"Kolmogorov":[125],"(metric)":[126],"entropy":[127],"while":[132],"expressed":[138],"as":[139,161,163],"sum":[141],"divergences.":[144],"The":[145],"theory":[147],"used":[149],"derive":[151],"new":[152],"minimax":[153],"lower":[154],"bounds":[155],"on":[156],"identification":[159],"error,":[160],"well":[162],"give":[165],"simple":[167],"derivation":[168],"minimum":[171],"time":[172],"needed":[173],"stabilize":[175],"uncertain":[177],"linear":[179],"system.":[180]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
