{"id":"https://openalex.org/W2091217698","doi":"https://doi.org/10.1142/s0129065701000849","title":"WEIGHT GROUPINGS IN SECOND ORDER TRAINING METHODS FOR RECURRENT NETWORKS","display_name":"WEIGHT GROUPINGS IN SECOND ORDER TRAINING METHODS FOR RECURRENT NETWORKS","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2091217698","doi":"https://doi.org/10.1142/s0129065701000849","mag":"2091217698","pmid":"https://pubmed.ncbi.nlm.nih.gov/11706413"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065701000849","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065701000849","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/A5111431165","display_name":"Laiwan Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Lai-Wan CHAN","raw_affiliation_strings":["Computer Science and Engineering Department, The Chinese University of Hong Kong, Shatin, HONG KONG, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department, The Chinese University of Hong Kong, Shatin, HONG KONG, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067038680","display_name":"Chi-Cheong Szeto","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chi-Cheong SZETO","raw_affiliation_strings":["Computer Science and Engineering Department, The Chinese University of Hong Kong, Shatin, HONG KONG, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department, The Chinese University of Hong Kong, Shatin, HONG KONG, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111431165"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12809529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"04","first_page":"379","last_page":"387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9837999939918518,"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/diagonal","display_name":"Diagonal","score":0.7661702632904053},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.7160559892654419},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.714766263961792},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.6996932029724121},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6240563988685608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.561467707157135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48610353469848633},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4740868806838989},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.42502716183662415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38269779086112976},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37611210346221924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35412657260894775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3332170844078064},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09787097573280334}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7661702632904053},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7160559892654419},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.714766263961792},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.6996932029724121},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6240563988685608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.561467707157135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48610353469848633},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4740868806838989},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.42502716183662415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38269779086112976},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37611210346221924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35412657260894775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3332170844078064},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09787097573280334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"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/s0129065701000849","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065701000849","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:11706413","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11706413","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":4,"referenced_works":["https://openalex.org/W1972150031","https://openalex.org/W2016589492","https://openalex.org/W2114471683","https://openalex.org/W2122568838"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W1704347466","https://openalex.org/W1996936972","https://openalex.org/W4283017538","https://openalex.org/W1545275724","https://openalex.org/W2802707792","https://openalex.org/W2569979269","https://openalex.org/W2924468784","https://openalex.org/W4282921316","https://openalex.org/W4383065888"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"use":[4],"block-diagonal":[5,124],"matrix":[6,11],"of":[7,20,33,56,73,81],"approximate":[8],"the":[9,13,18,26,31,34,38,69,79,118,123,135],"Hessian":[10],"in":[12,130],"Levenberg":[14,120],"Marquardt":[15,121],"method":[16,53,64],"during":[17],"training":[19,112,131],"recurrent":[21],"neural":[22],"networks.":[23],"We":[24],"analyze":[25],"weight":[27,41,90],"updating":[28,42,48],"strategies":[29],"and":[30,46,85,99,104,111],"groupings":[32],"weights":[35,55,67],"associated":[36],"with":[37,117],"approximation.":[39],"Two":[40],"strategies,":[43],"namely":[44],"asynchronous":[45],"synchronous":[47,63],"methods":[49,126],"are":[50,87,102],"investigated.":[51],"Asynchronous":[52],"updated":[54],"one":[57],"block":[58],"at":[59,68],"a":[60],"time":[61,113,132],"while":[62],"updates":[65],"all":[66],"same":[70],"time.":[71],"Variations":[72],"these":[74],"two":[75,82],"methods,":[76,92],"which":[77],"involve":[78],"determination":[80],"parameters":[83],"mu":[84],"lambda,":[86],"examined.":[88],"Four":[89],"grouping":[91],"correlation":[93],"blocks,":[94,96],"k-unit":[95],"layer":[97],"blocks":[98,101],"arbitrary":[100],"investigated":[103],"compared.":[105],"Their":[106],"computational":[107],"complexity,":[108],"approximation":[109,125],"ability,":[110],"is":[114],"analyzed.":[115],"Comparing":[116],"original":[119],"method,":[122],"give":[127],"substantial":[128],"improvement":[129],"without":[133],"degrading":[134],"generalization":[136],"ability.":[137]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}