{"id":"https://openalex.org/W1758799351","doi":"https://doi.org/10.3390/e17107149","title":"Robust Hammerstein Adaptive Filtering under Maximum Correntropy Criterion","display_name":"Robust Hammerstein Adaptive Filtering under Maximum Correntropy Criterion","publication_year":2015,"publication_date":"2015-10-22","ids":{"openalex":"https://openalex.org/W1758799351","doi":"https://doi.org/10.3390/e17107149","mag":"1758799351"},"language":"en","primary_location":{"id":"doi:10.3390/e17107149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17107149","pdf_url":"https://www.mdpi.com/1099-4300/17/10/7149/pdf?version=1445498159","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/10/7149/pdf?version=1445498159","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053349477","display_name":"Zongze Wu","orcid":"https://orcid.org/0000-0002-2115-8670"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongze Wu","raw_affiliation_strings":["School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102810466","display_name":"Siyuan Peng","orcid":"https://orcid.org/0000-0003-4365-8243"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyuan Peng","raw_affiliation_strings":["School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","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":true,"raw_author_name":"Badong Chen","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":"https://orcid.org/0000-0003-1710-3818","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101602542","display_name":"Haiquan Zhao","orcid":"https://orcid.org/0000-0002-5189-5241"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiquan Zhao","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077852542"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":12.1597,"has_fulltext":true,"cited_by_count":81,"citation_normalized_percentile":{"value":0.99331094,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"17","issue":"10","first_page":"7149","last_page":"7166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"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/T10860","display_name":"Speech and Audio Processing","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9987000226974487,"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/outlier","display_name":"Outlier","score":0.7119967937469482},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6722428202629089},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.6357923746109009},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5570903420448303},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5387026071548462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5013318061828613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.501286506652832},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.48697909712791443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4655870199203491},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4186827540397644},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35100817680358887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18324565887451172},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12827011942863464}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7119967937469482},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6722428202629089},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.6357923746109009},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5570903420448303},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5387026071548462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5013318061828613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.501286506652832},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.48697909712791443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4655870199203491},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4186827540397644},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35100817680358887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18324565887451172},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12827011942863464},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e17107149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17107149","pdf_url":"https://www.mdpi.com/1099-4300/17/10/7149/pdf?version=1445498159","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:265351ad5189469c84720f493e539922","is_oa":true,"landing_page_url":"https://doaj.org/article/265351ad5189469c84720f493e539922","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 17, Iss 10, Pp 7149-7166 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/10/7149/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17107149","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17107149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17107149","pdf_url":"https://www.mdpi.com/1099-4300/17/10/7149/pdf?version=1445498159","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1828425977","display_name":null,"funder_award_id":"973 Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2745395918","display_name":"\u57fa\u4e8eCDN\u7684\u53ef\u4f38\u7f29\u89c6\u9891\u5206\u53d1\u7406\u8bba\u4e0e\u6280\u672f\u7814\u7a76","funder_award_id":"61271210","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3512492947","display_name":null,"funder_award_id":"61372152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4314553097","display_name":null,"funder_award_id":"2015CB351703","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"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1758799351.pdf","grobid_xml":"https://content.openalex.org/works/W1758799351.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W9310736","https://openalex.org/W564324191","https://openalex.org/W565868953","https://openalex.org/W1547069917","https://openalex.org/W1559785498","https://openalex.org/W1615672776","https://openalex.org/W1658684309","https://openalex.org/W1701760339","https://openalex.org/W1819447595","https://openalex.org/W1965324089","https://openalex.org/W1966048296","https://openalex.org/W1978391899","https://openalex.org/W1995864781","https://openalex.org/W1996124770","https://openalex.org/W1998520805","https://openalex.org/W2011197824","https://openalex.org/W2016780616","https://openalex.org/W2018774667","https://openalex.org/W2019034316","https://openalex.org/W2034442390","https://openalex.org/W2038619475","https://openalex.org/W2050075865","https://openalex.org/W2058522416","https://openalex.org/W2058908415","https://openalex.org/W2063620182","https://openalex.org/W2065572206","https://openalex.org/W2071820974","https://openalex.org/W2096093732","https://openalex.org/W2096915734","https://openalex.org/W2097777877","https://openalex.org/W2097819153","https://openalex.org/W2114828797","https://openalex.org/W2116862700","https://openalex.org/W2120315477","https://openalex.org/W2123351796","https://openalex.org/W2132921044","https://openalex.org/W2136409657","https://openalex.org/W2136894486","https://openalex.org/W2143729958","https://openalex.org/W2144581542","https://openalex.org/W2147807198","https://openalex.org/W2153805553","https://openalex.org/W2164089768","https://openalex.org/W2165591509","https://openalex.org/W2170300530","https://openalex.org/W2171267334","https://openalex.org/W2500834194","https://openalex.org/W4230367971"],"related_works":["https://openalex.org/W3006513224","https://openalex.org/W2046456988","https://openalex.org/W2357409937","https://openalex.org/W2510582230","https://openalex.org/W2978674666","https://openalex.org/W2074430941","https://openalex.org/W2113096305","https://openalex.org/W1977636359","https://openalex.org/W2772305933","https://openalex.org/W2580722822"],"abstract_inverted_index":{"The":[0],"maximum":[1],"correntropy":[2],"criterion":[3,30],"(MCC)":[4],"has":[5],"recently":[6],"been":[7],"successfully":[8],"applied":[9],"to":[10,31,91],"adaptive":[11,36,43],"filtering.":[12],"Adaptive":[13],"algorithms":[14],"under":[15],"MCC":[16,29],"show":[17],"strong":[18],"robustness":[19],"against":[20],"large":[21],"outliers.":[22],"In":[23],"this":[24],"work,":[25],"we":[26],"apply":[27],"the":[28,40,51,58,68,81,93,97],"develop":[32],"a":[33],"robust":[34],"Hammerstein":[35,42],"filter.":[37],"Compared":[38],"with":[39],"traditional":[41],"filters,":[44],"which":[45],"are":[46,84,89],"usually":[47],"derived":[48],"based":[49],"on":[50],"well-known":[52],"mean":[53],"square":[54],"error":[55],"(MSE)":[56],"criterion,":[57],"proposed":[59],"algorithm":[60],"can":[61],"achieve":[62],"better":[63],"convergence":[64,82],"performance":[65,95],"especially":[66],"in":[67],"presence":[69],"of":[70,96],"impulsive":[71],"non-Gaussian":[72],"(e.g.,":[73],"\u03b1-stable)":[74],"noises.":[75],"Additionally,":[76],"some":[77],"theoretical":[78],"results":[79],"concerning":[80],"behavior":[83],"also":[85],"obtained.":[86],"Simulation":[87],"examples":[88],"presented":[90],"confirm":[92],"superior":[94],"new":[98],"algorithm.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":14}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
