{"id":"https://openalex.org/W4294690995","doi":"https://doi.org/10.23919/acc53348.2022.9867488","title":"Uncertainty Quantification for the Extended and the Deterministic-Gain Kalman Filters","display_name":"Uncertainty Quantification for the Extended and the Deterministic-Gain Kalman Filters","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W4294690995","doi":"https://doi.org/10.23919/acc53348.2022.9867488"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867488","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867488","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","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/A5063041228","display_name":"Shihong Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shihong Wei","raw_affiliation_strings":["Johns Hopkins University,Applied Math and Statistics Department,Baltimore,MD,21218"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University,Applied Math and Statistics Department,Baltimore,MD,21218","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066890566","display_name":"James C. Spall","orcid":"https://orcid.org/0000-0001-8034-8864"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I2802946424","display_name":"Johns Hopkins University Applied Physics Laboratory","ror":"https://ror.org/029pp9z10","country_code":"US","type":"facility","lineage":["https://openalex.org/I145311948","https://openalex.org/I2802946424"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James C. Spall","raw_affiliation_strings":["JHU Applied Physics Laboratory and Research Professor of the Johns Hopkins University,Baltimore,MD,21218"],"affiliations":[{"raw_affiliation_string":"JHU Applied Physics Laboratory and Research Professor of the Johns Hopkins University,Baltimore,MD,21218","institution_ids":["https://openalex.org/I2802946424","https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063041228"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":0.2079,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41020254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2341","last_page":"2346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9925000071525574,"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/T11236","display_name":"Control Systems and Identification","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.8107142448425293},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.5686936974525452},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5628664493560791},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5401891469955444},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.506607174873352},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4882652759552002},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.48595917224884033},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.4852044880390167},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.47791653871536255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4753672480583191},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.46501782536506653},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45363008975982666},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.4475225508213043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44180047512054443},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.41176557540893555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39317452907562256},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3703381419181824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36508700251579285},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.32227808237075806},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23895320296287537},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.13188251852989197},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.13037419319152832},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1110805869102478}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.8107142448425293},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.5686936974525452},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5628664493560791},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5401891469955444},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.506607174873352},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4882652759552002},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.48595917224884033},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.4852044880390167},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.47791653871536255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4753672480583191},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.46501782536506653},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45363008975982666},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.4475225508213043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44180047512054443},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.41176557540893555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39317452907562256},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3703381419181824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36508700251579285},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.32227808237075806},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23895320296287537},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.13188251852989197},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.13037419319152832},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1110805869102478},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc53348.2022.9867488","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867488","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","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":25,"referenced_works":["https://openalex.org/W1642796894","https://openalex.org/W1969759674","https://openalex.org/W2000340713","https://openalex.org/W2002307090","https://openalex.org/W2018028661","https://openalex.org/W2018093813","https://openalex.org/W2033906866","https://openalex.org/W2036580231","https://openalex.org/W2045222245","https://openalex.org/W2051992184","https://openalex.org/W2084029876","https://openalex.org/W2091638851","https://openalex.org/W2094819946","https://openalex.org/W2101051269","https://openalex.org/W2113206066","https://openalex.org/W2172654550","https://openalex.org/W2906722021","https://openalex.org/W2912784363","https://openalex.org/W2972498087","https://openalex.org/W3015703504","https://openalex.org/W3044425249","https://openalex.org/W3088171231","https://openalex.org/W3187036808","https://openalex.org/W4229706427","https://openalex.org/W6757160541"],"related_works":["https://openalex.org/W2363917672","https://openalex.org/W2966342863","https://openalex.org/W1592076655","https://openalex.org/W1152793513","https://openalex.org/W2350198701","https://openalex.org/W1861522060","https://openalex.org/W2963458589","https://openalex.org/W2013002270","https://openalex.org/W2734569417","https://openalex.org/W3213169174"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,60],"aimed":[3],"at":[4],"characterizing":[5],"the":[6,28,33,53,63,67,74,78],"mean":[7,54],"square":[8,55],"error":[9,26,56,69],"and":[10,32,77],"probabilistic":[11,64],"uncertainty":[12,90],"of":[13,17,27,50],"a":[14,41,86],"popular":[15],"class":[16],"filtering":[18],"algorithms":[19],"in":[20],"nonlinear":[21],"systems.":[22],"The":[23,83],"state":[24],"estimation":[25,68],"extended":[29],"Kalman":[30,35],"filter":[31,36],"deterministic-gain":[34],"are":[37,70],"analyzed.":[38],"We":[39],"allow":[40],"vector":[42],"state,":[43],"but":[44],"assume":[45],"scalar":[46],"measurements.":[47],"A":[48],"set":[49],"conditions":[51],"for":[52,66],"to":[57],"be":[58],"upper-bounded":[59],"derived.":[61],"Furthermore,":[62],"bounds":[65],"computed":[71],"via":[72],"both":[73],"moment-based":[75],"approach":[76],"stochastic":[79],"comparison":[80],"analysis":[81],"approach.":[82],"latter":[84],"provides":[85],"formal":[87],"means":[88],"determining":[89],"bounds,":[91],"such":[92],"as":[93],"statistical":[94],"confidence":[95],"regions.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}