{"id":"https://openalex.org/W2610861717","doi":"https://doi.org/10.1109/tsp.2017.2752729","title":"Nonlinear Kalman Filtering With Divergence Minimization","display_name":"Nonlinear Kalman Filtering With Divergence Minimization","publication_year":2017,"publication_date":"2017-09-14","ids":{"openalex":"https://openalex.org/W2610861717","doi":"https://doi.org/10.1109/tsp.2017.2752729","mag":"2610861717"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2017.2752729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2752729","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1705.00722","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019302365","display_name":"San Gultekin","orcid":"https://orcid.org/0000-0002-9954-9989"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"San Gultekin","raw_affiliation_strings":["Department of Electrical Engineering and the Data Science Institute Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Data Science Institute Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110662445","display_name":"John Paisley","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Paisley","raw_affiliation_strings":["Department of Electrical Engineering and the Data Science Institute Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Data Science Institute Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019302365"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":3.3193,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.93701873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"65","issue":"23","first_page":"6319","last_page":"6331"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.996399998664856,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9811999797821045,"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/kalman-filter","display_name":"Kalman filter","score":0.7441172003746033},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7054653167724609},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6963105201721191},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.560200035572052},{"id":"https://openalex.org/keywords/particle-filter","display_name":"Particle filter","score":0.511102020740509},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49422958493232727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47920116782188416},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4692744314670563},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4158027172088623},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4127659201622009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3877295255661011},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16482815146446228}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.7441172003746033},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7054653167724609},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6963105201721191},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.560200035572052},{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.511102020740509},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49422958493232727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47920116782188416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4692744314670563},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4158027172088623},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4127659201622009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3877295255661011},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16482815146446228},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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":2,"locations":[{"id":"doi:10.1109/tsp.2017.2752729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2752729","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1705.00722","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.00722","pdf_url":"https://arxiv.org/pdf/1705.00722","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1705.00722","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.00722","pdf_url":"https://arxiv.org/pdf/1705.00722","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":51,"referenced_works":["https://openalex.org/W1516111018","https://openalex.org/W1559536185","https://openalex.org/W1571438983","https://openalex.org/W1577789187","https://openalex.org/W1663973292","https://openalex.org/W1826694107","https://openalex.org/W1934021597","https://openalex.org/W1970789124","https://openalex.org/W1979266491","https://openalex.org/W1981277868","https://openalex.org/W1982322007","https://openalex.org/W2048511921","https://openalex.org/W2054141820","https://openalex.org/W2059373563","https://openalex.org/W2072644219","https://openalex.org/W2088627138","https://openalex.org/W2099371695","https://openalex.org/W2103632679","https://openalex.org/W2105934661","https://openalex.org/W2109375023","https://openalex.org/W2115979064","https://openalex.org/W2119196781","https://openalex.org/W2120340025","https://openalex.org/W2123487311","https://openalex.org/W2124156864","https://openalex.org/W2135194391","https://openalex.org/W2135505309","https://openalex.org/W2136290775","https://openalex.org/W2140242774","https://openalex.org/W2142508340","https://openalex.org/W2145938889","https://openalex.org/W2149259182","https://openalex.org/W2154070436","https://openalex.org/W2158352727","https://openalex.org/W2160337655","https://openalex.org/W2273369333","https://openalex.org/W2951493172","https://openalex.org/W2962933364","https://openalex.org/W2962973320","https://openalex.org/W3105418769","https://openalex.org/W4212863985","https://openalex.org/W4293052541","https://openalex.org/W6638626609","https://openalex.org/W6640231202","https://openalex.org/W6662745849","https://openalex.org/W6677308353","https://openalex.org/W6680221885","https://openalex.org/W6681158678","https://openalex.org/W6683371264","https://openalex.org/W6763808890","https://openalex.org/W6786594163"],"related_works":["https://openalex.org/W4252024964","https://openalex.org/W4253883008","https://openalex.org/W2105321464","https://openalex.org/W2103062922","https://openalex.org/W2887774187","https://openalex.org/W1585960250","https://openalex.org/W2162299404","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W2341297234"],"abstract_inverted_index":{"We":[0,103],"consider":[1],"the":[2,38,41,56,62,68,87,118],"nonlinear":[3,20],"Kalman":[4,18,21,123],"filtering":[5],"problem":[6],"using":[7],"Kullback-Leibler":[8],"(KL)":[9],"and":[10,58,108,111,121],"\u03b1-divergence":[11,69],"measures":[12],"as":[13,65,67,74,125,127],"optimization":[14],"criteria.":[15],"Unlike":[16,77],"linear":[17],"filters,":[19,124],"filters":[22],"do":[23,82],"not":[24,83],"have":[25],"closed":[26],"form":[27],"Gaussian":[28],"posteriors":[29],"because":[30],"of":[31,34,61],"a":[32],"lack":[33],"conjugacy":[35],"due":[36],"to":[37,50,86,96],"nonlinearity":[39],"in":[40],"likelihood.":[42],"In":[43],"this":[44,52],"paper,":[45],"we":[46],"propose":[47],"novel":[48],"algorithms":[49,81,99],"approximate":[51],"posterior":[53],"by":[54],"optimizing":[55],"forward":[57],"reverse":[59],"forms":[60],"KL":[63],"divergence,":[64],"well":[66,126],"that":[70],"contains":[71],"these":[72],"two":[73],"limiting":[75],"cases.":[76],"previous":[78],"approaches,":[79],"our":[80],"make":[84],"approximations":[85],"divergences":[88],"being":[89],"optimized,":[90],"but":[91],"use":[92],"Monte":[93],"Carlo":[94],"techniques":[95],"derive":[97],"unbiased":[98],"for":[100],"direct":[101],"optimization.":[102],"assess":[104],"performance":[105,129],"on":[106],"radar":[107],"sensor":[109],"tracking,":[110],"options":[112],"pricing,":[113],"showing":[114],"general":[115],"improvement":[116],"over":[117],"extended,":[119],"unscented,":[120],"ensemble":[122],"competitive":[128],"with":[130],"particle":[131],"filtering.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}