{"id":"https://openalex.org/W2091077439","doi":"https://doi.org/10.1137/0804035","title":"The Iterated Kalman Smoother as a Gauss\u2013Newton Method","display_name":"The Iterated Kalman Smoother as a Gauss\u2013Newton Method","publication_year":1994,"publication_date":"1994-08-01","ids":{"openalex":"https://openalex.org/W2091077439","doi":"https://doi.org/10.1137/0804035","mag":"2091077439"},"language":"en","primary_location":{"id":"doi:10.1137/0804035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804035","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","raw_type":"journal-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/A5112857690","display_name":"Bradley M. Bell","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bradley M. Bell","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5112857690"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0445,"has_fulltext":false,"cited_by_count":170,"citation_normalized_percentile":{"value":0.86851537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"4","issue":"3","first_page":"626","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9901000261306763,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.780443549156189},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7565889358520508},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.699723482131958},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5638484954833984},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5603160858154297},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.54018634557724},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.46096915006637573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4525342881679535},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43386131525039673},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37516263127326965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19614863395690918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14122366905212402},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10302305221557617},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07712563872337341}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.780443549156189},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7565889358520508},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.699723482131958},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5638484954833984},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5603160858154297},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.54018634557724},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.46096915006637573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4525342881679535},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43386131525039673},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37516263127326965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19614863395690918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14122366905212402},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10302305221557617},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07712563872337341},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0804035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804035","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W107400462","https://openalex.org/W304861154","https://openalex.org/W1501233054","https://openalex.org/W1973108647","https://openalex.org/W1973942504","https://openalex.org/W2016456873","https://openalex.org/W2030381855","https://openalex.org/W2063698478","https://openalex.org/W2068484625","https://openalex.org/W2094227853","https://openalex.org/W2324309783"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W3103325625","https://openalex.org/W4366700029","https://openalex.org/W4285230481","https://openalex.org/W1486898455","https://openalex.org/W4385769873","https://openalex.org/W2015759683","https://openalex.org/W4281634296","https://openalex.org/W4299069794","https://openalex.org/W2796380742"],"abstract_inverted_index":{"The":[0,53],"Kalman":[1,38,55,86],"smoother":[2,39,56],"is":[3,32,57],"known":[4],"to":[5,62],"be":[6,63],"the":[7,12,37,69,73,81,85],"maximum":[8],"likelihood":[9,70],"estimator":[10],"when":[11],"measurement":[13],"and":[14,60],"transition":[15],"functions":[16],"are":[17],"affine;":[18],"i.e.,":[19],"a":[20,24,41,47,64],"linear":[21],"function":[22,71],"plus":[23],"constant.":[25],"A":[26],"new":[27],"proof":[28],"of":[29,49,80],"this":[30],"result":[31],"presented":[33,59],"that":[34,36],"shows":[35],"decomposes":[40],"large":[42],"least":[43],"squares":[44],"problem":[45],"into":[46],"sequence":[48],"much":[50],"smaller":[51],"problems.":[52],"iterated":[54],"then":[58],"shown":[61],"Gauss\u2013Newton":[65],"method":[66,77],"for":[67],"maximizing":[68],"in":[72],"nonaffine":[74],"case.":[75],"This":[76],"takes":[78],"advantage":[79],"decomposition":[82],"obtained":[83],"with":[84],"smoother.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}