{"id":"https://openalex.org/W2897482021","doi":"https://doi.org/10.1109/tcsii.2018.2874969","title":"Tracking Analysis of Minimum Kernel Risk-Sensitive Loss Algorithm Under General Non-Gaussian Noise","display_name":"Tracking Analysis of Minimum Kernel Risk-Sensitive Loss Algorithm Under General Non-Gaussian Noise","publication_year":2018,"publication_date":"2018-10-09","ids":{"openalex":"https://openalex.org/W2897482021","doi":"https://doi.org/10.1109/tcsii.2018.2874969","mag":"2897482021"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2018.2874969","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2018.2874969","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5040036501","display_name":"Amir Rastegarnia","orcid":"https://orcid.org/0000-0003-4371-310X"},"institutions":[{"id":"https://openalex.org/I4210146087","display_name":"Malayer University","ror":"https://ror.org/03rk9sq81","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210146087"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Amir Rastegarnia","raw_affiliation_strings":["Department of Electrical Engineering, Malayer University, Malayer, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Malayer University, Malayer, Iran","institution_ids":["https://openalex.org/I4210146087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052478808","display_name":"Parnian Malekian","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146087","display_name":"Malayer University","ror":"https://ror.org/03rk9sq81","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210146087"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Parnian Malekian","raw_affiliation_strings":["Department of Electrical Engineering, Malayer University, Malayer, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Malayer University, Malayer, Iran","institution_ids":["https://openalex.org/I4210146087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082697963","display_name":"Azam Khalili","orcid":"https://orcid.org/0000-0002-6194-3534"},"institutions":[{"id":"https://openalex.org/I4210146087","display_name":"Malayer University","ror":"https://ror.org/03rk9sq81","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210146087"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Azam Khalili","raw_affiliation_strings":["Department of Electrical Engineering, Malayer University, Malayer, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Malayer University, Malayer, Iran","institution_ids":["https://openalex.org/I4210146087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082429984","display_name":"Wael M. Bazzi","orcid":"https://orcid.org/0000-0002-6943-9965"},"institutions":[{"id":"https://openalex.org/I122640774","display_name":"American University in Dubai","ror":"https://ror.org/0540vvc38","country_code":"AE","type":"education","lineage":["https://openalex.org/I122640774"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Wael M. Bazzi","raw_affiliation_strings":["Electrical and Computer Engineering Department, American University in Dubai, Dubai, UAE"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, American University in Dubai, Dubai, UAE","institution_ids":["https://openalex.org/I122640774"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004587843","display_name":"Saeid Sanei","orcid":"https://orcid.org/0000-0002-1446-5744"},"institutions":[{"id":"https://openalex.org/I52590639","display_name":"Nottingham Trent University","ror":"https://ror.org/04xyxjd90","country_code":"GB","type":"education","lineage":["https://openalex.org/I52590639"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Saeid Sanei","raw_affiliation_strings":["School of Science and Technology, Nottingham Trent University, Nottingham, U.K"],"affiliations":[{"raw_affiliation_string":"School of Science and Technology, Nottingham Trent University, Nottingham, U.K","institution_ids":["https://openalex.org/I52590639"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040036501"],"corresponding_institution_ids":["https://openalex.org/I4210146087"],"apc_list":null,"apc_paid":null,"fwci":1.456,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.80285445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"66","issue":"7","first_page":"1262","last_page":"1266"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9991999864578247,"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/T10860","display_name":"Speech and Audio Processing","score":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.6563853621482849},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6264098882675171},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5991054177284241},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5437906384468079},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5261741876602173},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.47303956747055054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4666329324245453},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.44255179166793823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4347274899482727},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.43337225914001465},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.43069374561309814},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41955995559692383},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33055347204208374},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3236401677131653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2676613926887512},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1320616602897644},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11500748991966248}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6563853621482849},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6264098882675171},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5991054177284241},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5437906384468079},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5261741876602173},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.47303956747055054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4666329324245453},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.44255179166793823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4347274899482727},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.43337225914001465},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.43069374561309814},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41955995559692383},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33055347204208374},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3236401677131653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2676613926887512},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1320616602897644},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11500748991966248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2018.2874969","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2018.2874969","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:irep.ntu.ac.uk:34720","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400559","display_name":"Nottingham Trent University's Institutional Repository (Nottingham Trent Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I52590639","host_organization_name":"Nottingham Trent University","host_organization_lineage":["https://openalex.org/I52590639"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W565868953","https://openalex.org/W1530233145","https://openalex.org/W1701760339","https://openalex.org/W1865482235","https://openalex.org/W2015184281","https://openalex.org/W2045551057","https://openalex.org/W2096915734","https://openalex.org/W2105666660","https://openalex.org/W2135160607","https://openalex.org/W2136409657","https://openalex.org/W2148058527","https://openalex.org/W2494968998","https://openalex.org/W2500157231","https://openalex.org/W2528194423","https://openalex.org/W2549133344","https://openalex.org/W2610805269","https://openalex.org/W2782618922","https://openalex.org/W2808007300","https://openalex.org/W2963106684","https://openalex.org/W2963607735","https://openalex.org/W4230367971","https://openalex.org/W6631821420"],"related_works":["https://openalex.org/W2375370983","https://openalex.org/W2369557298","https://openalex.org/W2545232906","https://openalex.org/W2011212036","https://openalex.org/W2065131986","https://openalex.org/W3044685708","https://openalex.org/W4229068138","https://openalex.org/W2127643120","https://openalex.org/W2040553955","https://openalex.org/W1545294102"],"abstract_inverted_index":{"In":[0,18],"this":[1],"brief,":[2],"the":[3,33,42,64,77,80,92,97,129],"steady-state":[4,65,112],"tracking":[5],"performance":[6],"of":[7,35,88,118],"minimum":[8],"kernel":[9],"risk-sensitive":[10],"loss":[11],"in":[12],"a":[13,22,25,115],"non-stationary":[14,23],"environment":[15],"is":[16,29,45,55,83,99],"analyzed.":[17],"order":[19],"to":[20,31,47,57,110],"model":[21,28],"environment,":[24],"first-order":[26],"random-walk":[27],"used":[30,109],"describe":[32],"variations":[34],"optimum":[36,93],"weight":[37],"vector":[38],"over":[39],"time.":[40],"Moreover,":[41],"measurement":[43],"noise":[44,126],"considered":[46],"have":[48],"non-Gaussian":[49],"distribution.":[50],"The":[51,121],"energy":[52],"conservation":[53],"relation":[54],"utilized":[56],"extract":[58,111],"an":[59,85],"approximate":[60],"closed-form":[61],"expression":[62],"for":[63,76,114],"excess":[66],"mean":[67],"square":[68],"error":[69],"(EMSE).":[70],"Our":[71],"analysis":[72],"shows":[73],"that":[74,104],"unlike":[75],"stationary":[78],"case,":[79],"EMSE":[81,98,113],"curve":[82],"not":[84],"increasing":[86],"function":[87],"step-size":[89,94],"parameter.":[90],"Hence,":[91],"which":[95],"minimizes":[96],"derived.":[100],"We":[101],"also":[102],"discuss":[103],"our":[105],"approach":[106],"can":[107],"be":[108],"general":[116],"class":[117],"adaptive":[119],"filters.":[120],"simulation":[122],"results":[123],"with":[124],"different":[125],"distributions":[127],"support":[128],"theoretical":[130],"derivations.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
