{"id":"https://openalex.org/W2605735589","doi":"https://doi.org/10.1137/17m1124383","title":"Smoothing and Filtering with a Class of Outer Measures","display_name":"Smoothing and Filtering with a Class of Outer Measures","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2605735589","doi":"https://doi.org/10.1137/17m1124383","mag":"2605735589"},"language":"en","primary_location":{"id":"doi:10.1137/17m1124383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1124383","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.01233","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040820835","display_name":"J\u00e9r\u00e9mie Houssineau","orcid":"https://orcid.org/0000-0001-8235-0239"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jeremie Houssineau","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110307296","display_name":"Adrian N. Bishop","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adrian N. Bishop","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040820835"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3806,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.93744149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"6","issue":"2","first_page":"845","last_page":"866"},"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":0.9965999722480774,"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":0.9965999722480774,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9958999752998352,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.8341343402862549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6985971927642822},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5895437598228455},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5848061442375183},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5392187833786011},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5145630240440369},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5004193782806396},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.46874502301216125},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46810317039489746},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.45021161437034607},{"id":"https://openalex.org/keywords/recursive-bayesian-estimation","display_name":"Recursive Bayesian estimation","score":0.4298035204410553},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4104804992675781},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3940791189670563},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.2782171368598938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24153831601142883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2054753601551056},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1858328878879547},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08190122246742249}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8341343402862549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6985971927642822},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5895437598228455},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5848061442375183},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5392187833786011},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5145630240440369},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5004193782806396},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.46874502301216125},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46810317039489746},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.45021161437034607},{"id":"https://openalex.org/C40343088","wikidata":"https://www.wikidata.org/wiki/Q3059012","display_name":"Recursive Bayesian estimation","level":3,"score":0.4298035204410553},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4104804992675781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3940791189670563},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.2782171368598938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24153831601142883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2054753601551056},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1858328878879547},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08190122246742249},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/17m1124383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1124383","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.01233","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.01233","pdf_url":"https://arxiv.org/pdf/1704.01233","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":"pmh:oai:opus.lib.uts.edu.au:10453/132695","is_oa":true,"landing_page_url":"http://hdl.handle.net/10453/132695","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:wrap.warwick.ac.uk:113495","is_oa":false,"landing_page_url":"http://wrap.warwick.ac.uk/113495/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.01233","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.01233","pdf_url":"https://arxiv.org/pdf/1704.01233","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":[{"id":"https://openalex.org/G1915140489","display_name":null,"funder_award_id":"DE-120102873","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320335334","display_name":"Defence Science and Technology Group","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1184059260","https://openalex.org/W1529647686","https://openalex.org/W1968293352","https://openalex.org/W1970092746","https://openalex.org/W1973309770","https://openalex.org/W2059376672","https://openalex.org/W2070898270","https://openalex.org/W2078538587","https://openalex.org/W2081202140","https://openalex.org/W2099867508","https://openalex.org/W2146485022","https://openalex.org/W2481117059","https://openalex.org/W2586347719","https://openalex.org/W2734837415","https://openalex.org/W2744689969","https://openalex.org/W2797148637","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4255014856"],"related_works":["https://openalex.org/W2556433573","https://openalex.org/W2095945411","https://openalex.org/W233485288","https://openalex.org/W2145287255","https://openalex.org/W4249370909","https://openalex.org/W2476513453","https://openalex.org/W1519236962","https://openalex.org/W1565236713","https://openalex.org/W1485384328","https://openalex.org/W1500564636"],"abstract_inverted_index":{"Filtering":[0],"and":[1,38,51,60],"smoothing":[2,50],"with":[3,69],"a":[4,16,46],"generalized":[5,39,49],"representation":[6,26],"of":[7,18,27,35,48,79],"uncertainty":[8,12,28],"is":[9,13,22,90],"considered.":[10],"Here,":[11],"represented":[14],"using":[15,32],"class":[17],"outer":[19],"measures.":[20],"It":[21,89],"shown":[23,92],"how":[24],"this":[25],"can":[29,98],"be":[30,99],"propagated":[31],"outer-measure-type":[33],"versions":[34],"Markov":[36,112],"kernels":[37],"Bayesian-like":[40],"update":[41],"equations.":[42],"This":[43],"leads":[44],"to":[45,72],"system":[47],"filtering":[52,87],"equations":[53,76],"where":[54],"integrals":[55],"are":[56,64],"replaced":[57,65],"by":[58,66],"supremums":[59],"probability":[61],"density":[62],"functions":[63,68],"positive":[67],"supremum":[70],"equal":[71],"one.":[73],"Interestingly,":[74],"these":[75],"retain":[77],"most":[78],"the":[80,84,94,105,109],"structure":[81],"found":[82],"in":[83],"classical":[85],"Bayesian":[86],"framework.":[88],"additionally":[91],"that":[93],"Kalman":[95],"filter":[96],"recursion":[97],"recovered":[100],"from":[101],"weaker":[102],"assumptions":[103],"on":[104,108],"available":[106],"information":[107],"corresponding":[110],"hidden":[111],"model.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
