{"id":"https://openalex.org/W2964844128","doi":"https://doi.org/10.1109/tcsii.2019.2931507","title":"Geometric Algebra Correntropy: Definition and Application to Robust Adaptive Filtering","display_name":"Geometric Algebra Correntropy: Definition and Application to Robust Adaptive Filtering","publication_year":2019,"publication_date":"2019-07-29","ids":{"openalex":"https://openalex.org/W2964844128","doi":"https://doi.org/10.1109/tcsii.2019.2931507","mag":"2964844128"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2931507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2931507","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/A5100341747","display_name":"Wenyuan Wang","orcid":"https://orcid.org/0000-0002-0723-6927"},"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"]},{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenyuan Wang","raw_affiliation_strings":["Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","institution_ids":["https://openalex.org/I1327237609"]},{"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/A5101602542","display_name":"Haiquan Zhao","orcid":"https://orcid.org/0000-0002-5189-5241"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"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":["Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101502657","display_name":"Xiangping Zeng","orcid":"https://orcid.org/0000-0001-8721-2548"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"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":"Xiangping Zeng","raw_affiliation_strings":["Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100341747"],"corresponding_institution_ids":["https://openalex.org/I1327237609","https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":2.4592,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.8917919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"67","issue":"6","first_page":"1164","last_page":"1168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9914000034332275,"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/multivector","display_name":"Multivector","score":0.9153538942337036},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.8218855857849121},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.6753895878791809},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.4964781403541565},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4939277768135071},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49235308170318604},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4863296151161194},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47969743609428406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4706871807575226},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4431021809577942},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44138801097869873},{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.4354107677936554},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.43253546953201294},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.41989415884017944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4115191400051117},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4102104902267456},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36712557077407837},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.19199076294898987},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.17319399118423462},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1413942575454712},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12080773711204529},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.10269907116889954}],"concepts":[{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.9153538942337036},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.8218855857849121},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.6753895878791809},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.4964781403541565},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4939277768135071},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49235308170318604},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4863296151161194},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47969743609428406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4706871807575226},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4431021809577942},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44138801097869873},{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.4354107677936554},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.43253546953201294},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.41989415884017944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4115191400051117},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4102104902267456},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36712557077407837},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.19199076294898987},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.17319399118423462},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1413942575454712},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12080773711204529},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.10269907116889954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2931507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2931507","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4514581901","display_name":null,"funder_award_id":"61871461","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6148365373","display_name":null,"funder_award_id":"61571374","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6757632055","display_name":null,"funder_award_id":"19YYJC0681","funder_id":"https://openalex.org/F4320333335","funder_display_name":"Sichuan Province Science and Technology Support Program"},{"id":"https://openalex.org/G6774727125","display_name":null,"funder_award_id":"61433011","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/F4320333335","display_name":"Sichuan Province Science and Technology Support Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1600874933","https://openalex.org/W1701760339","https://openalex.org/W1978391899","https://openalex.org/W2024467433","https://openalex.org/W2077598042","https://openalex.org/W2097446478","https://openalex.org/W2099398754","https://openalex.org/W2102707971","https://openalex.org/W2135160607","https://openalex.org/W2136409657","https://openalex.org/W2137823674","https://openalex.org/W2211074159","https://openalex.org/W2293860863","https://openalex.org/W2500157231","https://openalex.org/W2544327364","https://openalex.org/W2558844075","https://openalex.org/W2795711918","https://openalex.org/W2895711555","https://openalex.org/W2963073040","https://openalex.org/W3024853581","https://openalex.org/W3098588011","https://openalex.org/W3099478137","https://openalex.org/W3102497486","https://openalex.org/W4230367971","https://openalex.org/W4298680854"],"related_works":["https://openalex.org/W2099345067","https://openalex.org/W2579897398","https://openalex.org/W1593361846","https://openalex.org/W2099688444","https://openalex.org/W25487896","https://openalex.org/W2964290513","https://openalex.org/W1006411175","https://openalex.org/W2972738333","https://openalex.org/W1482404553","https://openalex.org/W2978333472"],"abstract_inverted_index":{"Correntropy":[0,15],"is":[1,27,95,102],"an":[2],"efficient":[3],"tool":[4],"for":[5],"analyzing":[6],"higher":[7],"order":[8],"statistical":[9],"moments":[10],"in":[11,44],"non-Gaussian":[12,99,115],"noise":[13],"environments.":[14],"has":[16,40],"been":[17,41],"used":[18,43],"with":[19,33],"real,":[20],"complex,":[21],"and":[22,52],"quaternion":[23],"data.":[24,36],"However,":[25],"there":[26],"no":[28],"literature":[29],"studying":[30],"the":[31,45,49,56,70,84,89,98,106,109,114],"correntropy":[32,66],"geometric":[34,38,64,76],"algebra":[35,39,65,77],"The":[37],"widely":[42],"engineering":[46],"applications":[47],"including":[48],"signal":[50],"processing":[51],"image":[53],"processing.":[54],"From":[55],"probabilistic":[57],"view,":[58],"this":[59],"brief":[60],"presents":[61],"a":[62],"novel":[63],"(GAC)":[67],"which":[68,94],"represents":[69],"similarity":[71],"measure":[72],"between":[73],"two":[74],"random":[75],"(multivector":[78],"valued)":[79],"variables.":[80],"Then,":[81],"we":[82],"develop":[83],"adaptive":[85,111],"filter":[86],"based":[87],"on":[88],"maximum":[90],"GAC":[91],"criteria":[92],"(MGACC),":[93],"robust":[96],"against":[97],"noise.":[100],"Simulation":[101],"conducted":[103],"to":[104],"verify":[105],"advantages":[107],"of":[108],"proposed":[110],"algorithm":[112],"under":[113],"environment.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}