{"id":"https://openalex.org/W4389230699","doi":"https://doi.org/10.1109/tim.2023.3336437","title":"Probability-Based Identification of Hammerstein Systems With Asymmetric Noise Characteristics","display_name":"Probability-Based Identification of Hammerstein Systems With Asymmetric Noise Characteristics","publication_year":2023,"publication_date":"2023-12-01","ids":{"openalex":"https://openalex.org/W4389230699","doi":"https://doi.org/10.1109/tim.2023.3336437"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2023.3336437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2023.3336437","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","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/A5100352205","display_name":"Xin Liu","orcid":"https://orcid.org/0000-0002-2504-8962"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Liu","raw_affiliation_strings":["Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2504-8962","affiliations":[{"raw_affiliation_string":"Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047768177","display_name":"Chen Wang","orcid":"https://orcid.org/0000-0001-7216-3093"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Wang","raw_affiliation_strings":["College of Information Science and Engineering, Hohai University, Changzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-7216-3093","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hohai University, Changzhou, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085295698","display_name":"Wei Dai","orcid":"https://orcid.org/0000-0003-3057-7225"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Dai","raw_affiliation_strings":["Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3057-7225","affiliations":[{"raw_affiliation_string":"Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1264,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87492401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"73","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11236","display_name":"Control Systems and Identification","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9675999879837036,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-distribution","display_name":"Laplace distribution","score":0.7502532005310059},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.7437955141067505},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6673814058303833},{"id":"https://openalex.org/keywords/skewness","display_name":"Skewness","score":0.5900762677192688},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5723294615745544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4904453456401825},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.48209288716316223},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47243770956993103},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.46039149165153503},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44584572315216064},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.44423794746398926},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.43313151597976685},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.4208148121833801},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4110097587108612},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37681010365486145},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.3477843403816223},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1744910478591919},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13123008608818054}],"concepts":[{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.7502532005310059},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7437955141067505},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6673814058303833},{"id":"https://openalex.org/C122342681","wikidata":"https://www.wikidata.org/wiki/Q330828","display_name":"Skewness","level":2,"score":0.5900762677192688},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5723294615745544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4904453456401825},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.48209288716316223},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47243770956993103},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.46039149165153503},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44584572315216064},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44423794746398926},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.43313151597976685},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.4208148121833801},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4110097587108612},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37681010365486145},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.3477843403816223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1744910478591919},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13123008608818054},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2023.3336437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2023.3336437","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1393186167","display_name":null,"funder_award_id":"2023M743776","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G1765971304","display_name":null,"funder_award_id":"2022YFB3304700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G214723977","display_name":null,"funder_award_id":"62373361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4660117625","display_name":null,"funder_award_id":"BK20200183","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G8577184768","display_name":null,"funder_award_id":"62103134","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation 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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"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":53,"referenced_works":["https://openalex.org/W41409100","https://openalex.org/W1968032347","https://openalex.org/W1969790127","https://openalex.org/W1993648480","https://openalex.org/W1996507603","https://openalex.org/W2003967703","https://openalex.org/W2085069379","https://openalex.org/W2105787212","https://openalex.org/W2125945227","https://openalex.org/W2517464434","https://openalex.org/W2581600548","https://openalex.org/W2605408670","https://openalex.org/W2612157927","https://openalex.org/W2732156136","https://openalex.org/W2741186781","https://openalex.org/W2792051776","https://openalex.org/W2796554156","https://openalex.org/W2808030673","https://openalex.org/W2905756971","https://openalex.org/W2966067846","https://openalex.org/W2966617645","https://openalex.org/W2980285686","https://openalex.org/W2980712008","https://openalex.org/W2983075708","https://openalex.org/W2988323362","https://openalex.org/W3014764454","https://openalex.org/W3017153079","https://openalex.org/W3041136725","https://openalex.org/W3043554402","https://openalex.org/W3091598955","https://openalex.org/W3094377646","https://openalex.org/W3135096824","https://openalex.org/W3137881394","https://openalex.org/W3153972080","https://openalex.org/W3154254059","https://openalex.org/W3162003095","https://openalex.org/W3173161869","https://openalex.org/W3173417124","https://openalex.org/W3186810099","https://openalex.org/W3199318700","https://openalex.org/W3203958365","https://openalex.org/W3214997969","https://openalex.org/W3215349902","https://openalex.org/W4205725595","https://openalex.org/W4205846577","https://openalex.org/W4214842003","https://openalex.org/W4226286190","https://openalex.org/W4281400805","https://openalex.org/W4285140373","https://openalex.org/W4285277816","https://openalex.org/W4287980875","https://openalex.org/W4362598356","https://openalex.org/W4367314468"],"related_works":["https://openalex.org/W2189529952","https://openalex.org/W3122032734","https://openalex.org/W28389960","https://openalex.org/W3144675622","https://openalex.org/W3124374489","https://openalex.org/W4390063540","https://openalex.org/W3080076373","https://openalex.org/W2549038846","https://openalex.org/W4361192899","https://openalex.org/W2732428318"],"abstract_inverted_index":{"In":[0,47,151],"the":[1,5,13,21,26,29,64,74,87,92,96,100,111,116,120,127,134,137,141,149,153,161,168,171,179,183,194,201,205,214,217],"existing":[2],"identification":[3,54,112,128,187],"algorithms,":[4],"output":[6,58,78],"noise":[7,145,208],"is":[8,123,157,175,189,223],"usually":[9],"modeled":[10],"by":[11,126,192],"using":[12,193],"thick-tailed":[14],"Laplace":[15,33,67],"and":[16,34,76,83,103,143,200,207],"Student\u2019s":[17,35],"t-distributions":[18,36],"instead":[19],"of":[20,86,99,105,119,136,163,167,182,204,216],"Gaussian":[22],"distribution":[23,69,89,102,122],"to":[24,44,72,94,159,177],"acquire":[25],"robustness":[27,135],"for":[28,56,140],"outliers.":[30,150],"However,":[31],"both":[32,104],"exhibit":[37],"symmetric":[38],"statistical":[39,97,117],"properties":[40],"which":[41,131],"can":[42],"lead":[43],"certain":[45],"limitations.":[46],"this":[48,221],"article,":[49],"we":[50],"introduce":[51],"a":[52],"robust":[53],"algorithm":[55,139,199,218],"Hammerstein":[57,169],"error":[59],"(OE)":[60],"systems":[61],"based":[62],"on":[63],"shifted":[65],"asymmetric":[66,77,144],"(SAL)":[68],"in":[70,220],"order":[71],"handle":[73],"skewed":[75,142],"noise.":[79],"The":[80,185],"skewness":[81],"parameter":[82,85],"scale":[84],"SAL":[88,101,121],"act":[90],"as":[91,146,148],"hyperparameters":[93],"govern":[95],"property":[98,118],"them":[106],"are":[107,210],"adaptively":[108,124],"extracted":[109],"from":[110],"data.":[113],"That":[114],"means":[115],"adjusted":[125],"data":[129],"quality,":[130],"could":[132],"ensure":[133],"introduced":[138,219],"well":[147],"addition,":[152],"auxiliary":[154],"model":[155,206],"technique":[156],"used":[158,176],"solve":[160],"problem":[162,188],"unmeasurable":[164],"process":[165],"variables":[166],"system;":[170],"key-term":[172],"separation":[173],"principle":[174],"reduce":[178],"computation":[180],"complexity":[181],"algorithm.":[184],"complete":[186],"mathematically":[190],"formulated":[191],"generalized":[195],"expectation":[196],"maximization":[197],"(GEM)":[198],"estimation":[202],"formulas":[203],"parameters":[209],"derived":[211],"simultaneously.":[212],"Finally,":[213],"effectiveness":[215],"article":[222],"verified.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}