{"id":"https://openalex.org/W2500157231","doi":"https://doi.org/10.1109/tsp.2017.2669903","title":"Kernel Risk-Sensitive Loss: Definition, Properties and Application to Robust Adaptive Filtering","display_name":"Kernel Risk-Sensitive Loss: Definition, Properties and Application to Robust Adaptive Filtering","publication_year":2017,"publication_date":"2017-02-15","ids":{"openalex":"https://openalex.org/W2500157231","doi":"https://doi.org/10.1109/tsp.2017.2669903","mag":"2500157231"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2017.2669903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2669903","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1608.00441","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":["Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381465","display_name":"Lei Xing","orcid":"https://orcid.org/0000-0002-4913-9818"},"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":"Lei Xing","raw_affiliation_strings":["Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053178444","display_name":"Bin Xu","orcid":"https://orcid.org/0000-0001-9115-4686"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Xu","raw_affiliation_strings":["School of Automation, Northwestern Polytechnical University, Xi\u2019an, China","School of Automation, Northwestern Polytechnical University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi\u2019an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050937458","display_name":"Haiquan Zhao","orcid":"https://orcid.org/0000-0003-0198-1384"},"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, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047405956","display_name":"Nanning Zheng","orcid":"https://orcid.org/0000-0003-1608-8257"},"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":"Nanning Zheng","raw_affiliation_strings":["Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019504861","display_name":"Jos\u00e9 C. Pr\u0131\u0301ncipe","orcid":"https://orcid.org/0000-0002-3449-3531"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Jose C. Principe","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.7088,"has_fulltext":false,"cited_by_count":189,"citation_normalized_percentile":{"value":0.99760904,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"11","first_page":"2888","last_page":"2901"},"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":0.9994999766349792,"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":0.9986000061035156,"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/robustness","display_name":"Robustness (evolution)","score":0.7549349069595337},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.705361008644104},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6183180212974548},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6073177456855774},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.4995589256286621},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4945690333843231},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4836958050727844},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4314548373222351},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42494720220565796},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3809393048286438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3285835087299347},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3225157856941223},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.08926272392272949}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7549349069595337},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.705361008644104},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6183180212974548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6073177456855774},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.4995589256286621},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4945690333843231},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4836958050727844},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4314548373222351},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42494720220565796},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3809393048286438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3285835087299347},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3225157856941223},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.08926272392272949},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2017.2669903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2017.2669903","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1608.00441","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.00441","pdf_url":"https://arxiv.org/pdf/1608.00441","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1608.00441","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.00441","pdf_url":"https://arxiv.org/pdf/1608.00441","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"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/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"}],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W565868953","https://openalex.org/W1480486934","https://openalex.org/W1547069917","https://openalex.org/W1560724230","https://openalex.org/W1701760339","https://openalex.org/W1824867259","https://openalex.org/W1978996791","https://openalex.org/W1980907873","https://openalex.org/W1996124770","https://openalex.org/W2015184281","https://openalex.org/W2019034316","https://openalex.org/W2019359195","https://openalex.org/W2043739261","https://openalex.org/W2044289603","https://openalex.org/W2044351729","https://openalex.org/W2045551057","https://openalex.org/W2096035449","https://openalex.org/W2096093732","https://openalex.org/W2097521973","https://openalex.org/W2102715376","https://openalex.org/W2110810023","https://openalex.org/W2113245966","https://openalex.org/W2113713615","https://openalex.org/W2120315477","https://openalex.org/W2127082526","https://openalex.org/W2129812935","https://openalex.org/W2135160607","https://openalex.org/W2136409657","https://openalex.org/W2137823674","https://openalex.org/W2139272549","https://openalex.org/W2142801300","https://openalex.org/W2148058527","https://openalex.org/W2148319325","https://openalex.org/W2150477941","https://openalex.org/W2152987686","https://openalex.org/W2165591509","https://openalex.org/W2166329520","https://openalex.org/W2271361270","https://openalex.org/W2294875987","https://openalex.org/W2483813931","https://openalex.org/W2564463482","https://openalex.org/W3024853581","https://openalex.org/W3098382789","https://openalex.org/W3099514962","https://openalex.org/W3105189809","https://openalex.org/W3144619878","https://openalex.org/W4230367971","https://openalex.org/W4243330440","https://openalex.org/W4250857377","https://openalex.org/W4255133955","https://openalex.org/W6784720362"],"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":{"Nonlinear":[0],"similarity":[1,43],"measures":[2],"defined":[3],"in":[4,28,45],"kernel":[5,46,50],"space,":[6,47],"such":[7],"as":[8],"correntropy,":[9,85],"can":[10,88],"extract":[11],"higher":[12,106],"order":[13],"statistics":[14],"of":[15,121],"data":[16],"and":[17,33,54,66,70,76,105,118],"offer":[18,89],"potentially":[19],"significant":[20],"performance":[21,93,120],"improvement":[22],"over":[23],"their":[24],"linear":[25],"counterparts":[26],"especially":[27],"non":[29],"Gaussian":[30],"signal":[31],"processing":[32],"machine":[34],"learning.":[35],"In":[36],"this":[37],"paper,":[38],"we":[39],"propose":[40],"a":[41,90,97],"new":[42,123],"measure":[44],"called":[48],"the":[49,61,68,73,78,86,111,122],"risk-sensitive":[51],"loss":[52],"(KRSL),":[53],"provide":[55],"some":[56],"important":[57],"properties.":[58],"We":[59],"apply":[60],"KRSL":[62,87],"to":[63,100,113],"adaptive":[64],"filtering":[65],"investigate":[67],"robustness,":[69],"then":[71],"develop":[72],"MKRSL":[74],"algorithm":[75,124],"analyze":[77],"mean":[79],"square":[80],"convergence":[81,103],"performance.":[82],"Compared":[83],"with":[84],"more":[91],"efficient":[92],"surface,":[94],"thereby":[95],"enabling":[96],"gradient-based":[98],"method":[99],"achieve":[101],"faster":[102],"speed":[104],"accuracy":[107],"while":[108],"still":[109],"maintaining":[110],"robustness":[112],"outliers.":[114],"Theoretical":[115],"analysis":[116],"results":[117],"superior":[119],"are":[125],"confirmed":[126],"by":[127],"simulation.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":31},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":30},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-08-23T00:00:00"}
