{"id":"https://openalex.org/W2115629583","doi":"https://doi.org/10.1109/tnnls.2013.2241788","title":"Complex-Valued Filtering Based on the Minimization of Complex-Error Entropy","display_name":"Complex-Valued Filtering Based on the Minimization of Complex-Error Entropy","publication_year":2013,"publication_date":"2013-02-05","ids":{"openalex":"https://openalex.org/W2115629583","doi":"https://doi.org/10.1109/tnnls.2013.2241788","mag":"2115629583","pmid":"https://pubmed.ncbi.nlm.nih.gov/24808421"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2013.2241788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2241788","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5025580492","display_name":"Songyan Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songyan Huang","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","[Dept. of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"[Dept. of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China]","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100654349","display_name":"Chunguang Li","orcid":"https://orcid.org/0000-0003-3147-1553"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunguang Li","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","[Dept. of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"[Dept. of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China]","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055901236","display_name":"Yiguang Liu","orcid":"https://orcid.org/0000-0002-8223-1173"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiguang Liu","raw_affiliation_strings":["School of Computer Science and Engineering, Sichuan University, Chengdu, China","School of Computer Science and Engineering, SiChuan University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"School of Computer Science and Engineering, SiChuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8569,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91517254,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"5","first_page":"695","last_page":"708"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","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/T10320","display_name":"Neural Networks and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/estimator","display_name":"Estimator","score":0.6032677888870239},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5931573510169983},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5479932427406311},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.534906268119812},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5035237669944763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.493646502494812},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44556725025177},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.43404918909072876},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4318885803222656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3690274953842163},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.32138097286224365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28710177540779114},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25124454498291016},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09575563669204712}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6032677888870239},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5931573510169983},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5479932427406311},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.534906268119812},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5035237669944763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.493646502494812},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44556725025177},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.43404918909072876},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4318885803222656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3690274953842163},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.32138097286224365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28710177540779114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25124454498291016},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09575563669204712},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2013.2241788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2241788","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:24808421","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24808421","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1510355813","https://openalex.org/W1683846184","https://openalex.org/W1975492575","https://openalex.org/W1995875735","https://openalex.org/W1999542175","https://openalex.org/W2014653578","https://openalex.org/W2031296078","https://openalex.org/W2033314301","https://openalex.org/W2034358398","https://openalex.org/W2045300428","https://openalex.org/W2048446345","https://openalex.org/W2055939541","https://openalex.org/W2058399474","https://openalex.org/W2065234731","https://openalex.org/W2067489830","https://openalex.org/W2082542187","https://openalex.org/W2093609627","https://openalex.org/W2097521973","https://openalex.org/W2107424704","https://openalex.org/W2111552652","https://openalex.org/W2115074110","https://openalex.org/W2116141292","https://openalex.org/W2117022956","https://openalex.org/W2118262610","https://openalex.org/W2124348301","https://openalex.org/W2127737934","https://openalex.org/W2128585141","https://openalex.org/W2135858797","https://openalex.org/W2135958548","https://openalex.org/W2139272549","https://openalex.org/W2140638323","https://openalex.org/W2143747384","https://openalex.org/W2144955380","https://openalex.org/W2159071216","https://openalex.org/W2161397505","https://openalex.org/W2294288691","https://openalex.org/W2296108426","https://openalex.org/W2476841360","https://openalex.org/W2778716599","https://openalex.org/W3010812135","https://openalex.org/W3140025309","https://openalex.org/W4230367971","https://openalex.org/W4236555067","https://openalex.org/W4289784446","https://openalex.org/W6654191559","https://openalex.org/W6677600329"],"related_works":["https://openalex.org/W3151522584","https://openalex.org/W4360764540","https://openalex.org/W1497123311","https://openalex.org/W4231657010","https://openalex.org/W2395986200","https://openalex.org/W1994552539","https://openalex.org/W2007917622","https://openalex.org/W3153284170","https://openalex.org/W4297883503","https://openalex.org/W2350826920"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,12,19,28,36,40,46,56,60,63,67,72,78,81,87,94,104,109],"training":[6],"of":[7,42,59,62,80,89],"complex-valued":[8,43,64,99,120,124],"filter":[9,107],"based":[10,85],"on":[11,86],"information":[13],"theoretic":[14],"method.":[15],"We":[16],"first":[17],"generalize":[18],"error":[20,30,44],"entropy":[21,31,41,47,61,91],"criterion":[22,32],"to":[23,26,35,54,119,128],"complex":[24,29,95],"domain":[25],"present":[27],"(CEEC).":[33],"Due":[34],"difficulty":[37],"in":[38],"estimating":[39],"directly,":[45],"bound":[48,69],"minimization":[49,88],"(EBM)":[50],"method":[51],"is":[52,75],"used":[53,76],"compute":[55],"upper":[57],"bounds":[58],"error,":[65],"and":[66,93,108,123,132],"tightest":[68],"selected":[70],"by":[71],"EBM":[73],"algorithm":[74],"as":[77],"estimator":[79],"complex-error":[82,90],"entropy.":[83],"Then,":[84],"(MCEE)":[92],"gradient":[96],"descent":[97],"approach,":[98],"learning":[100],"algorithms":[101,116],"for":[102],"both":[103],"(linear)":[105],"transverse":[106],"(nonlinear)":[110],"neural":[111],"network":[112],"are":[113,117],"derived.":[114],"The":[115],"applied":[118],"linear":[121],"filtering":[122],"nonlinear":[125],"channel":[126],"equalization":[127],"demonstrate":[129],"their":[130],"effectiveness":[131],"advantages.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}