{"id":"https://openalex.org/W2015479059","doi":"https://doi.org/10.1109/tsmcc.2012.2230254","title":"Parametric Bayesian Filters for Nonlinear Stochastic Dynamical Systems: A Survey","display_name":"Parametric Bayesian Filters for Nonlinear Stochastic Dynamical Systems: A Survey","publication_year":2013,"publication_date":"2013-01-24","ids":{"openalex":"https://openalex.org/W2015479059","doi":"https://doi.org/10.1109/tsmcc.2012.2230254","mag":"2015479059","pmid":"https://pubmed.ncbi.nlm.nih.gov/23757593"},"language":"en","primary_location":{"id":"doi:10.1109/tsmcc.2012.2230254","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcc.2012.2230254","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"review","indexed_in":["crossref","pubmed"],"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/A5049192445","display_name":"Pawe Stano","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Pawe Stano","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006722575","display_name":"Zs\u00f3fia Lendek","orcid":"https://orcid.org/0000-0003-4539-7876"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Zsofia Lendek","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050066836","display_name":"Jelmer Braaksma","orcid":"https://orcid.org/0000-0002-9103-3590"},"institutions":[{"id":"https://openalex.org/I4210154893","display_name":"Altrecht GGZ","ror":"https://ror.org/050jqep38","country_code":"NL","type":"healthcare","lineage":["https://openalex.org/I4210154893"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jelmer Braaksma","raw_affiliation_strings":["IHC Systems, Sliedrecht, AA, The Netherlands","IHC Syst., Sliedrecht, Netherlands"],"affiliations":[{"raw_affiliation_string":"IHC Systems, Sliedrecht, AA, The Netherlands","institution_ids":["https://openalex.org/I4210154893"]},{"raw_affiliation_string":"IHC Syst., Sliedrecht, Netherlands","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084264842","display_name":"Robert Babu\u0161ka","orcid":"https://orcid.org/0000-0001-9578-8598"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Robert Babuska","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041650320","display_name":"C. de Keizer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154893","display_name":"Altrecht GGZ","ror":"https://ror.org/050jqep38","country_code":"NL","type":"healthcare","lineage":["https://openalex.org/I4210154893"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Cees de Keizer","raw_affiliation_strings":["IHC Systems, Sliedrecht, AA, The Netherlands","IHC Syst., Sliedrecht, Netherlands"],"affiliations":[{"raw_affiliation_string":"IHC Systems, Sliedrecht, AA, The Netherlands","institution_ids":["https://openalex.org/I4210154893"]},{"raw_affiliation_string":"IHC Syst., Sliedrecht, Netherlands","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020623867","display_name":"Arnold J. den Dekker","orcid":"https://orcid.org/0000-0002-0194-0198"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arnold J. den Dekker","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5049192445"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":12.3559,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.98477459,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"43","issue":"6","first_page":"1607","last_page":"1624"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9731000065803528,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.7520927786827087},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6654965281486511},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.6599149107933044},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.6353238821029663},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6293855905532837},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.5907709002494812},{"id":"https://openalex.org/keywords/alpha-beta-filter","display_name":"Alpha beta filter","score":0.573284387588501},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5018956661224365},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.48918989300727844},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48883408308029175},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48164311051368713},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.47797152400016785},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.47775402665138245},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.46675753593444824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46151065826416016},{"id":"https://openalex.org/keywords/kernel-adaptive-filter","display_name":"Kernel adaptive filter","score":0.4598385691642761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45155251026153564},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4314042925834656},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.42617350816726685},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.41575106978416443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14435496926307678},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12958279252052307},{"id":"https://openalex.org/keywords/moving-horizon-estimation","display_name":"Moving horizon estimation","score":0.06816941499710083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06253719329833984}],"concepts":[{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.7520927786827087},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6654965281486511},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.6599149107933044},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.6353238821029663},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6293855905532837},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.5907709002494812},{"id":"https://openalex.org/C11588082","wikidata":"https://www.wikidata.org/wiki/Q4735154","display_name":"Alpha beta filter","level":5,"score":0.573284387588501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5018956661224365},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.48918989300727844},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48883408308029175},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48164311051368713},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.47797152400016785},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.47775402665138245},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.46675753593444824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46151065826416016},{"id":"https://openalex.org/C13107197","wikidata":"https://www.wikidata.org/wiki/Q6394192","display_name":"Kernel adaptive filter","level":4,"score":0.4598385691642761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45155251026153564},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4314042925834656},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.42617350816726685},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.41575106978416443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14435496926307678},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12958279252052307},{"id":"https://openalex.org/C50050547","wikidata":"https://www.wikidata.org/wiki/Q6927137","display_name":"Moving horizon estimation","level":4,"score":0.06816941499710083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06253719329833984},{"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},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tsmcc.2012.2230254","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcc.2012.2230254","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:23757593","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23757593","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.709.8628","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.709.8628","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lendek.net/files/papers/2013-smcc-pawel.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":131,"referenced_works":["https://openalex.org/W64233612","https://openalex.org/W185885492","https://openalex.org/W186403726","https://openalex.org/W292716351","https://openalex.org/W600407423","https://openalex.org/W1479979375","https://openalex.org/W1492221128","https://openalex.org/W1496335979","https://openalex.org/W1496856925","https://openalex.org/W1504997388","https://openalex.org/W1507322379","https://openalex.org/W1513008779","https://openalex.org/W1522319528","https://openalex.org/W1531532259","https://openalex.org/W1536252645","https://openalex.org/W1548576551","https://openalex.org/W1603631609","https://openalex.org/W1662216694","https://openalex.org/W1686266550","https://openalex.org/W1749494163","https://openalex.org/W1883186006","https://openalex.org/W1964377184","https://openalex.org/W1970869692","https://openalex.org/W1973108647","https://openalex.org/W1976753356","https://openalex.org/W1977825281","https://openalex.org/W1984197955","https://openalex.org/W1988827501","https://openalex.org/W1995597265","https://openalex.org/W1995647552","https://openalex.org/W2001954202","https://openalex.org/W2002055443","https://openalex.org/W2002460157","https://openalex.org/W2003083486","https://openalex.org/W2009104157","https://openalex.org/W2009659616","https://openalex.org/W2016059313","https://openalex.org/W2016456873","https://openalex.org/W2016757156","https://openalex.org/W2020328455","https://openalex.org/W2020343944","https://openalex.org/W2021484850","https://openalex.org/W2022281931","https://openalex.org/W2024655507","https://openalex.org/W2030220471","https://openalex.org/W2032982167","https://openalex.org/W2034896326","https://openalex.org/W2036116575","https://openalex.org/W2036323349","https://openalex.org/W2043357888","https://openalex.org/W2054091988","https://openalex.org/W2054468547","https://openalex.org/W2054677094","https://openalex.org/W2058753554","https://openalex.org/W2065840674","https://openalex.org/W2070898270","https://openalex.org/W2073283839","https://openalex.org/W2076186907","https://openalex.org/W2076480337","https://openalex.org/W2087197472","https://openalex.org/W2090134112","https://openalex.org/W2090562304","https://openalex.org/W2093871828","https://openalex.org/W2094227853","https://openalex.org/W2096422258","https://openalex.org/W2096887879","https://openalex.org/W2099371695","https://openalex.org/W2099544223","https://openalex.org/W2099867508","https://openalex.org/W2100250268","https://openalex.org/W2100969003","https://openalex.org/W2101015373","https://openalex.org/W2104130465","https://openalex.org/W2104146079","https://openalex.org/W2105532434","https://openalex.org/W2105934661","https://openalex.org/W2107802551","https://openalex.org/W2108627383","https://openalex.org/W2113373687","https://openalex.org/W2113592653","https://openalex.org/W2114291337","https://openalex.org/W2117999380","https://openalex.org/W2120170055","https://openalex.org/W2121990344","https://openalex.org/W2122038389","https://openalex.org/W2123487311","https://openalex.org/W2124751190","https://openalex.org/W2126736494","https://openalex.org/W2126875029","https://openalex.org/W2130054489","https://openalex.org/W2134504275","https://openalex.org/W2138953630","https://openalex.org/W2140242774","https://openalex.org/W2144903371","https://openalex.org/W2146091262","https://openalex.org/W2146893556","https://openalex.org/W2148611496","https://openalex.org/W2148638875","https://openalex.org/W2151297684","https://openalex.org/W2151395545","https://openalex.org/W2151797657","https://openalex.org/W2156064084","https://openalex.org/W2156433372","https://openalex.org/W2160337655","https://openalex.org/W2162733643","https://openalex.org/W2164015314","https://openalex.org/W2168564612","https://openalex.org/W2169750963","https://openalex.org/W2170316986","https://openalex.org/W2171941755","https://openalex.org/W2178986460","https://openalex.org/W2179860363","https://openalex.org/W2293807537","https://openalex.org/W2615953416","https://openalex.org/W2790374560","https://openalex.org/W3022404379","https://openalex.org/W3143184696","https://openalex.org/W3143780319","https://openalex.org/W3151391021","https://openalex.org/W4229793772","https://openalex.org/W4247537702","https://openalex.org/W4251263574","https://openalex.org/W4254979068","https://openalex.org/W4255783720","https://openalex.org/W4292366002","https://openalex.org/W6630382972","https://openalex.org/W6675449963","https://openalex.org/W6676108063","https://openalex.org/W6677895753","https://openalex.org/W6677928353","https://openalex.org/W6682248165"],"related_works":["https://openalex.org/W2359553624","https://openalex.org/W2748318014","https://openalex.org/W2113373687","https://openalex.org/W2371115672","https://openalex.org/W2514499609","https://openalex.org/W2068531117","https://openalex.org/W2388197328","https://openalex.org/W2091326451","https://openalex.org/W2162050050","https://openalex.org/W2796489332"],"abstract_inverted_index":{"Nonlinear":[0],"stochastic":[1],"dynamical":[2],"systems":[3],"are":[4],"commonly":[5],"used":[6],"to":[7,48,63,86],"model":[8],"physical":[9],"processes.":[10],"For":[11],"linear":[12],"and":[13,128,145],"Gaussian":[14,133],"systems,":[15,32],"the":[16,33,57,75,132],"Kalman":[17,109,113,121],"filter":[18,79],"is":[19,39,45,80],"optimal":[20],"in":[21,82],"minimum":[22],"mean":[23],"squared":[24],"error":[25],"sense.":[26],"However,":[27],"for":[28],"nonlinear":[29],"or":[30,37],"non-Gaussian":[31],"estimation":[34,59],"of":[35,101,142],"states":[36],"parameters":[38],"a":[40],"challenging":[41],"problem.":[42],"Furthermore,":[43],"it":[44],"often":[46],"required":[47],"process":[49],"data":[50],"online.":[51],"Therefore,":[52],"apart":[53],"from":[54],"being":[55],"accurate,":[56],"feasible":[58],"algorithm":[60],"also":[61],"needs":[62],"be":[64],"fast.":[65],"In":[66],"this":[67],"paper,":[68],"we":[69,97],"review":[70],"Bayesian":[71],"filters":[72,103,115,129],"that":[73],"possess":[74],"aforementioned":[76],"properties.":[77],"Each":[78],"presented":[81],"an":[83],"easy":[84],"way":[85],"implement":[87],"algorithmic":[88],"form.":[89],"We":[90,139],"focus":[91],"on":[92,105,117,131],"parametric":[93],"methods,":[94],"among":[95],"which":[96],"distinguish":[98],"three":[99],"types":[100],"filters:":[102],"based":[104,116,130],"analytical":[106],"approximations":[107,119],"(extended":[108],"filter,":[110,122,125],"iterated":[111],"extended":[112],"filter),":[114,127],"statistical":[118],"(unscented":[120],"central":[123],"difference":[124],"Gauss-Hermite":[126],"sum":[134,137],"approximation":[135],"(Gaussian":[136],"filter).":[138],"discuss":[140],"each":[141],"these":[143],"filters,":[144],"compare":[146],"them":[147],"with":[148],"illustrative":[149],"examples.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
