{"id":"https://openalex.org/W1990871355","doi":"https://doi.org/10.1142/s0129065705000426","title":"A MODIFIED ERROR BACKPROPAGATION ALGORITHM FOR COMPLEX-VALUE NEURAL NETWORKS","display_name":"A MODIFIED ERROR BACKPROPAGATION ALGORITHM FOR COMPLEX-VALUE NEURAL NETWORKS","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W1990871355","doi":"https://doi.org/10.1142/s0129065705000426","mag":"1990871355","pmid":"https://pubmed.ncbi.nlm.nih.gov/16385633"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065705000426","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065705000426","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural 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/A5100373745","display_name":"Xiaohong Chen","orcid":"https://orcid.org/0000-0002-9797-8384"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"XIAOMING CHEN","raw_affiliation_strings":["Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704278","display_name":"Zheng Tang","orcid":"https://orcid.org/0000-0002-6543-7444"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"ZHENG TANG","raw_affiliation_strings":["Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039605481","display_name":"CATHERINE VARIAPPAN","orcid":null},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"CATHERINE VARIAPPAN","raw_affiliation_strings":["Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, 3190 Gofuku, Toyama-shi, Toyama 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103924823","display_name":"Songsong Li","orcid":"https://orcid.org/0000-0003-1690-8016"},"institutions":[{"id":"https://openalex.org/I63216439","display_name":"Toyama Prefectural University","ror":"https://ror.org/03xgh2v50","country_code":"JP","type":"education","lineage":["https://openalex.org/I63216439"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"SONGSONG LI","raw_affiliation_strings":["Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-machi, Toyama 939-0398, Japan","Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-Machi, Toyama 939-0398, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-machi, Toyama 939-0398, Japan","institution_ids":["https://openalex.org/I63216439"]},{"raw_affiliation_string":"Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-Machi, Toyama 939-0398, Japan","institution_ids":["https://openalex.org/I63216439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114046192","display_name":"Toshimi Okada","orcid":null},"institutions":[{"id":"https://openalex.org/I63216439","display_name":"Toyama Prefectural University","ror":"https://ror.org/03xgh2v50","country_code":"JP","type":"education","lineage":["https://openalex.org/I63216439"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"TOSHIMI OKADA","raw_affiliation_strings":["Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-machi, Toyama 939-0398, Japan","Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-Machi, Toyama 939-0398, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-machi, Toyama 939-0398, Japan","institution_ids":["https://openalex.org/I63216439"]},{"raw_affiliation_string":"Faculty of Engineering, Toyama Prefectural University, 5180 Kurokawa, Kosugi-Machi, Toyama 939-0398, Japan","institution_ids":["https://openalex.org/I63216439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100373745"],"corresponding_institution_ids":["https://openalex.org/I42766147"],"apc_list":null,"apc_paid":null,"fwci":0.8775,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79565103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"06","first_page":"435","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9952999949455261,"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/T12676","display_name":"Machine Learning and ELM","score":0.9948999881744385,"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/backpropagation","display_name":"Backpropagation","score":0.9059783220291138},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.8511511087417603},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7393044233322144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7292803525924683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6079139113426208},{"id":"https://openalex.org/keywords/error-function","display_name":"Error function","score":0.6017192602157593},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.6008625626564026},{"id":"https://openalex.org/keywords/rprop","display_name":"Rprop","score":0.5315138101577759},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49265843629837036},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4907165765762329},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4537199139595032},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4176488220691681},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.37512463331222534},{"id":"https://openalex.org/keywords/types-of-artificial-neural-networks","display_name":"Types of artificial neural networks","score":0.3128378689289093},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.2942635118961334},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23271554708480835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15557143092155457}],"concepts":[{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.9059783220291138},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.8511511087417603},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7393044233322144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7292803525924683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6079139113426208},{"id":"https://openalex.org/C202286095","wikidata":"https://www.wikidata.org/wiki/Q579262","display_name":"Error function","level":2,"score":0.6017192602157593},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.6008625626564026},{"id":"https://openalex.org/C98359873","wikidata":"https://www.wikidata.org/wiki/Q1320470","display_name":"Rprop","level":5,"score":0.5315138101577759},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49265843629837036},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4907165765762329},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4537199139595032},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4176488220691681},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.37512463331222534},{"id":"https://openalex.org/C177973122","wikidata":"https://www.wikidata.org/wiki/Q7860946","display_name":"Types of artificial neural networks","level":4,"score":0.3128378689289093},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.2942635118961334},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23271554708480835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15557143092155457},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065705000426","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065705000426","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},{"id":"pmid:16385633","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16385633","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":"International journal of neural 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":15,"referenced_works":["https://openalex.org/W74526766","https://openalex.org/W1528288284","https://openalex.org/W1562344410","https://openalex.org/W1973966843","https://openalex.org/W1999720027","https://openalex.org/W2002011878","https://openalex.org/W2016812413","https://openalex.org/W2048446345","https://openalex.org/W2098437527","https://openalex.org/W2103496339","https://openalex.org/W2124776405","https://openalex.org/W2134563598","https://openalex.org/W2135858797","https://openalex.org/W2142016941","https://openalex.org/W2164177859"],"related_works":["https://openalex.org/W1535694475","https://openalex.org/W2388181322","https://openalex.org/W1965562977","https://openalex.org/W1967604662","https://openalex.org/W1990871355","https://openalex.org/W2497655912","https://openalex.org/W1496748431","https://openalex.org/W1964715098","https://openalex.org/W2035647762","https://openalex.org/W2019270231"],"abstract_inverted_index":{"The":[0,68],"complex-valued":[1],"backpropagation":[2],"algorithm":[3,75],"has":[4],"been":[5],"widely":[6],"used":[7],"in":[8,29],"fields":[9],"of":[10,32,78,89],"dealing":[11],"with":[12,19],"telecommunications,":[13],"speech":[14],"recognition":[15],"and":[16,38,88],"image":[17],"processing":[18],"Fourier":[20],"transformation.":[21],"However,":[22],"the":[23,30,42,56,64,73,80,85,92],"local":[24,86],"minima":[25,87],"problem":[26,37],"usually":[27],"occurs":[28],"process":[31],"learning.":[33,93],"To":[34],"solve":[35],"this":[36],"to":[39,55,63],"speed":[40],"up":[41,91],"learning":[43,81],"process,":[44],"we":[45],"propose":[46],"a":[47,53],"modified":[48],"error":[49,58],"function":[50],"by":[51],"adding":[52],"term":[54],"conventional":[57],"function,":[59],"which":[60],"is":[61,76],"corresponding":[62],"hidden":[65],"layer":[66],"error.":[67],"simulation":[69],"results":[70],"show":[71],"that":[72],"proposed":[74],"capable":[77],"preventing":[79],"from":[82],"sticking":[83],"into":[84],"speeding":[90]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}