{"id":"https://openalex.org/W2951837999","doi":"https://doi.org/10.1109/tsmc.2019.2917712","title":"Linear and Nonlinear Regression-Based Maximum Correntropy Extended Kalman Filtering","display_name":"Linear and Nonlinear Regression-Based Maximum Correntropy Extended Kalman Filtering","publication_year":2019,"publication_date":"2019-06-12","ids":{"openalex":"https://openalex.org/W2951837999","doi":"https://doi.org/10.1109/tsmc.2019.2917712","mag":"2951837999"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2917712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2917712","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5100450785","display_name":"Xi Liu","orcid":"https://orcid.org/0000-0002-1110-2382"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xi Liu","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068707928","display_name":"Zhigang Ren","orcid":"https://orcid.org/0000-0002-0913-0130"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Ren","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112907192","display_name":"Hongqiang Lyu","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongqiang Lyu","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102897874","display_name":"Zhihong Jiang","orcid":"https://orcid.org/0000-0001-8133-6312"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihong Jiang","raw_affiliation_strings":["School of Mechatronic Engineering, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044243518","display_name":"Pengju Ren","orcid":"https://orcid.org/0000-0003-1163-2014"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengju Ren","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077852542","display_name":"Badong Chen","orcid":"https://orcid.org/0000-0003-1710-3818"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Badong Chen","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100450785"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":4.1952,"has_fulltext":false,"cited_by_count":144,"citation_normalized_percentile":{"value":0.9529469,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"51","issue":"5","first_page":"3093","last_page":"3102"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9754999876022339,"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/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.8246802091598511},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7099575400352478},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6189079284667969},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5808216333389282},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5509926676750183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5058386325836182},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.4812357425689697},{"id":"https://openalex.org/keywords/nonlinear-regression","display_name":"Nonlinear regression","score":0.47540172934532166},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.45682480931282043},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4437277615070343},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4281392991542816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42401716113090515},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.4196265935897827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36954301595687866},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.3355158269405365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33035072684288025},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2551776170730591},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20945972204208374}],"concepts":[{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.8246802091598511},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7099575400352478},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6189079284667969},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5808216333389282},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5509926676750183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5058386325836182},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.4812357425689697},{"id":"https://openalex.org/C46889948","wikidata":"https://www.wikidata.org/wiki/Q2755024","display_name":"Nonlinear regression","level":3,"score":0.47540172934532166},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.45682480931282043},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4437277615070343},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4281392991542816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42401716113090515},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.4196265935897827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36954301595687866},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.3355158269405365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33035072684288025},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2551776170730591},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20945972204208374},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2019.2917712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2917712","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G440816782","display_name":null,"funder_award_id":"91648208","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5668957906","display_name":null,"funder_award_id":"2015CB351703","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6304446666","display_name":null,"funder_award_id":"61873199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8401483390","display_name":null,"funder_award_id":"U1613219","funder_id":"https://openalex.org/F4320334117","funder_display_name":"National Natural Science Foundation of China-Shenzhen Robotics Research Center Project"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334117","display_name":"National Natural Science Foundation of China-Shenzhen Robotics Research Center Project","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W565868953","https://openalex.org/W850051531","https://openalex.org/W1586172726","https://openalex.org/W1966126529","https://openalex.org/W1978391899","https://openalex.org/W1980907873","https://openalex.org/W1985819320","https://openalex.org/W2007249861","https://openalex.org/W2018001863","https://openalex.org/W2041962665","https://openalex.org/W2044351729","https://openalex.org/W2054091988","https://openalex.org/W2062100941","https://openalex.org/W2082452901","https://openalex.org/W2083965599","https://openalex.org/W2098473875","https://openalex.org/W2105934661","https://openalex.org/W2106669646","https://openalex.org/W2113713615","https://openalex.org/W2120315477","https://openalex.org/W2121990344","https://openalex.org/W2135160607","https://openalex.org/W2136409657","https://openalex.org/W2137823674","https://openalex.org/W2139586001","https://openalex.org/W2141767566","https://openalex.org/W2154131365","https://openalex.org/W2166121369","https://openalex.org/W2343454598","https://openalex.org/W2343911385","https://openalex.org/W2395240779","https://openalex.org/W2510333599","https://openalex.org/W2513248895","https://openalex.org/W2523327093","https://openalex.org/W2528325063","https://openalex.org/W2553413742","https://openalex.org/W2572262903","https://openalex.org/W2698658463","https://openalex.org/W2770746583","https://openalex.org/W2790374560","https://openalex.org/W2792163169","https://openalex.org/W2803565927","https://openalex.org/W2885077557","https://openalex.org/W2914726464","https://openalex.org/W2961703895","https://openalex.org/W2963106684","https://openalex.org/W2963134661","https://openalex.org/W4230367971","https://openalex.org/W4230624888","https://openalex.org/W4300352410"],"related_works":["https://openalex.org/W2089114113","https://openalex.org/W2389555968","https://openalex.org/W2352634297","https://openalex.org/W2103062922","https://openalex.org/W2162299404","https://openalex.org/W2075897667","https://openalex.org/W2907746047","https://openalex.org/W3125536267","https://openalex.org/W2161848771","https://openalex.org/W2274645452"],"abstract_inverted_index":{"The":[0,18,115],"extended":[1],"Kalman":[2],"filter":[3],"(EKF)":[4],"is":[5,25,101,108],"a":[6,98,104],"method":[7],"extensively":[8],"applied":[9],"in":[10,14,23,123],"many":[11],"areas,":[12],"particularly,":[13],"nonlinear":[15,64,75],"target":[16,124],"tracking.":[17],"optimization":[19],"criterion":[20,86,92],"commonly":[21],"used":[22],"EKF":[24,72,79],"the":[26,49,67,83,90,112,120],"celebrated":[27],"minimum":[28],"mean":[29],"square":[30],"error":[31],"(MMSE)":[32],"criterion,":[33],"which":[34],"exhibits":[35],"excellent":[36],"performance":[37,44],"under":[38],"Gaussian":[39],"noise":[40],"assumption.":[41],"However,":[42],"its":[43],"may":[45],"degrade":[46],"dramatically":[47],"when":[48],"noises":[50],"are":[51,126],"heavy":[52],"tailed.":[53],"To":[54],"cope":[55],"with":[56],"this":[57,59],"problem,":[58],"paper":[60],"proposes":[61],"two":[62],"new":[63],"filters,":[65,97],"namely":[66],"linear":[68],"regression":[69,76,99],"maximum":[70,77,84],"correntropy":[71,78,85],"(LRMCEKF)":[73],"and":[74,103,117],"(NRMCEKF),":[80],"by":[81,128],"applying":[82],"(MCC)":[87],"rather":[88],"than":[89],"MMSE":[91],"to":[93,110],"EKF.":[94],"In":[95],"both":[96],"model":[100],"formulated,":[102],"fixed-point":[105],"iterative":[106],"algorithm":[107],"utilized":[109],"obtain":[111],"posterior":[113],"estimates.":[114],"effectiveness":[116],"robustness":[118],"of":[119],"proposed":[121],"algorithms":[122],"tracking":[125],"confirmed":[127],"an":[129],"illustrative":[130],"example.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":37},{"year":2024,"cited_by_count":43},{"year":2023,"cited_by_count":30},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}