{"id":"https://openalex.org/W4393285841","doi":"https://doi.org/10.1109/tnnls.2024.3379020","title":"Trainable Delays in Time Delay Neural Networks for Learning Delayed Dynamics","display_name":"Trainable Delays in Time Delay Neural Networks for Learning Delayed Dynamics","publication_year":2024,"publication_date":"2024-03-28","ids":{"openalex":"https://openalex.org/W4393285841","doi":"https://doi.org/10.1109/tnnls.2024.3379020","pmid":"https://pubmed.ncbi.nlm.nih.gov/38546991"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3379020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3379020","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/A5088136875","display_name":"Xunbi A. Ji","orcid":"https://orcid.org/0000-0002-7024-2959"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xunbi A. Ji","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043415749","display_name":"G\u00e1bor Orosz","orcid":"https://orcid.org/0000-0002-9000-3736"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G\u00e1bor Orosz","raw_affiliation_strings":["Department of Mechanical Engineering and the Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and the Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088136875"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":3.1328,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92233323,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"36","issue":"3","first_page":"5219","last_page":"5229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9983000159263611,"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":0.9983000159263611,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11236","display_name":"Control Systems and Identification","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7319203615188599},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6848023533821106},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.589549720287323},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5719893574714661},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5607565641403198},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.550625741481781},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.4306558668613434},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40677109360694885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.347245454788208},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08040297031402588},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.06264734268188477}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7319203615188599},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6848023533821106},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.589549720287323},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5719893574714661},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5607565641403198},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.550625741481781},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.4306558668613434},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40677109360694885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.347245454788208},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08040297031402588},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.06264734268188477},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3379020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3379020","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:38546991","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38546991","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":62,"referenced_works":["https://openalex.org/W564609686","https://openalex.org/W1506119886","https://openalex.org/W1966254600","https://openalex.org/W1966283410","https://openalex.org/W1981107783","https://openalex.org/W1990034511","https://openalex.org/W2028996974","https://openalex.org/W2039617089","https://openalex.org/W2058580716","https://openalex.org/W2062210787","https://openalex.org/W2073922096","https://openalex.org/W2085165200","https://openalex.org/W2094631910","https://openalex.org/W2097101759","https://openalex.org/W2110760113","https://openalex.org/W2117671523","https://openalex.org/W2121615270","https://openalex.org/W2122814919","https://openalex.org/W2131231339","https://openalex.org/W2135227058","https://openalex.org/W2138484437","https://openalex.org/W2143970285","https://openalex.org/W2236623899","https://openalex.org/W2343696594","https://openalex.org/W2525143841","https://openalex.org/W2559135426","https://openalex.org/W2766357476","https://openalex.org/W2767210303","https://openalex.org/W2769801881","https://openalex.org/W2800992156","https://openalex.org/W2918922486","https://openalex.org/W2955911506","https://openalex.org/W2971277042","https://openalex.org/W3016013099","https://openalex.org/W3027575393","https://openalex.org/W3091830743","https://openalex.org/W3099864126","https://openalex.org/W3114770140","https://openalex.org/W3131431650","https://openalex.org/W3169379654","https://openalex.org/W3180734159","https://openalex.org/W3196045945","https://openalex.org/W3201695527","https://openalex.org/W4205129920","https://openalex.org/W4205352425","https://openalex.org/W4210960242","https://openalex.org/W4210968171","https://openalex.org/W4224030084","https://openalex.org/W4236550665","https://openalex.org/W4239600188","https://openalex.org/W4240729697","https://openalex.org/W4285049160","https://openalex.org/W4307169347","https://openalex.org/W4360997947","https://openalex.org/W4365211622","https://openalex.org/W4390730605","https://openalex.org/W6752307458","https://openalex.org/W6783994132","https://openalex.org/W6790369717","https://openalex.org/W6794001653","https://openalex.org/W6797359040","https://openalex.org/W6851533289"],"related_works":["https://openalex.org/W1584270863","https://openalex.org/W2603525251","https://openalex.org/W2085961337","https://openalex.org/W3113777316","https://openalex.org/W2386241395","https://openalex.org/W4246541945","https://openalex.org/W2357447513","https://openalex.org/W2107201395","https://openalex.org/W2381790306","https://openalex.org/W4241378172"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,26,53,57,67,78],"connection":[4],"between":[5],"time":[6,10,30,54],"delay":[7,11,31,42],"systems":[8,32,71],"and":[9,46,56,75],"neural":[12],"networks":[13],"(TDNNs)":[14],"is":[15,44],"presented":[16],"from":[17,33,72,88],"a":[18,83],"continuous-time":[19],"perspective.":[20],"TDNNs":[21],"are":[22,49,63],"utilized":[23],"to":[24],"learn":[25],"nonlinear":[27],"dynamics":[28,68,81],"of":[29,38,69,82],"trajectory":[34],"data.":[35,91],"The":[36,60],"concept":[37],"TDNN":[39],"with":[40],"trainable":[41],"(TrTDNN)":[43],"established,":[45],"training":[47],"algorithms":[48],"constructed":[50],"for":[51],"learning":[52,66,77],"delays":[55],"nonlinearities":[58],"simultaneously.":[59],"proposed":[61],"techniques":[62],"tested":[64],"on":[65,76],"autonomous":[70],"simulation":[73],"data":[74],"delayed":[79],"longitudinal":[80],"connected":[84],"automated":[85],"vehicle":[86],"(CAV)":[87],"real":[89],"experimental":[90]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
