{"id":"https://openalex.org/W4225012721","doi":"https://doi.org/10.1155/2022/2014510","title":"Parameter Estimation for Dynamical Systems Using a Deep Neural Network","display_name":"Parameter Estimation for Dynamical Systems Using a Deep Neural Network","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W4225012721","doi":"https://doi.org/10.1155/2022/2014510"},"language":"en","primary_location":{"id":"doi:10.1155/2022/2014510","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2014510","pdf_url":"https://downloads.hindawi.com/journals/acisc/2022/2014510.pdf","source":{"id":"https://openalex.org/S30680879","display_name":"Applied Computational Intelligence and Soft Computing","issn_l":"1687-9724","issn":["1687-9724","1687-9732"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Computational Intelligence and Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/acisc/2022/2014510.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069440184","display_name":"Tamirat Temesgen Dufera","orcid":"https://orcid.org/0000-0002-8612-7170"},"institutions":[{"id":"https://openalex.org/I865572129","display_name":"Adama Science and Technology University","ror":"https://ror.org/02ccba128","country_code":"ET","type":"education","lineage":["https://openalex.org/I865572129"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Tamirat Temesgen Dufera","raw_affiliation_strings":["Applied Mathematics, Adama Science and Technology University, Adama 1888, Oromia, Ethiopia"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics, Adama Science and Technology University, Adama 1888, Oromia, Ethiopia","institution_ids":["https://openalex.org/I865572129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090433782","display_name":"Yadeta Chimdessa Seboka","orcid":"https://orcid.org/0000-0001-5024-8950"},"institutions":[{"id":"https://openalex.org/I865572129","display_name":"Adama Science and Technology University","ror":"https://ror.org/02ccba128","country_code":"ET","type":"education","lineage":["https://openalex.org/I865572129"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Yadeta Chimdessa Seboka","raw_affiliation_strings":["Applied Mathematics, Adama Science and Technology University, Adama 1888, Oromia, Ethiopia"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics, Adama Science and Technology University, Adama 1888, Oromia, Ethiopia","institution_ids":["https://openalex.org/I865572129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081847141","display_name":"Carlos Fresneda\u2010Portillo","orcid":"https://orcid.org/0000-0002-4322-0113"},"institutions":[{"id":"https://openalex.org/I243381257","display_name":"Universidad Loyola Andaluc\u00eda","ror":"https://ror.org/0075gfd51","country_code":"ES","type":"education","lineage":["https://openalex.org/I243381257"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Fresneda Portillo","raw_affiliation_strings":["Departamento de M\u00e9todos Cuantitativos, Universidad Loyola Andaluc\u00eda, Avenida de Las Universidades, Dos Hermanas 41704, Sevilla, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de M\u00e9todos Cuantitativos, Universidad Loyola Andaluc\u00eda, Avenida de Las Universidades, Dos Hermanas 41704, Sevilla, Spain","institution_ids":["https://openalex.org/I243381257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090433782"],"corresponding_institution_ids":["https://openalex.org/I865572129"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.9723,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73453959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9987000226974487,"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/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/T11236","display_name":"Control Systems and Identification","score":0.9958000183105469,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7408931851387024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6710081696510315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6322399973869324},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5625203251838684},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5281569957733154},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5214502215385437},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5209295153617859},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5087819695472717},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4829549193382263},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3945968747138977},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3397514522075653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.263255774974823},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22280004620552063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10332706570625305}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7408931851387024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6710081696510315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6322399973869324},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5625203251838684},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5281569957733154},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5214502215385437},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5209295153617859},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5087819695472717},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4829549193382263},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3945968747138977},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3397514522075653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.263255774974823},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22280004620552063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10332706570625305},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2022/2014510","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2014510","pdf_url":"https://downloads.hindawi.com/journals/acisc/2022/2014510.pdf","source":{"id":"https://openalex.org/S30680879","display_name":"Applied Computational Intelligence and Soft Computing","issn_l":"1687-9724","issn":["1687-9724","1687-9732"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Computational Intelligence and Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:045c824e3bb043c298890eb3253b7408","is_oa":true,"landing_page_url":"https://doaj.org/article/045c824e3bb043c298890eb3253b7408","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Computational Intelligence and Soft Computing, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/2014510","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/2014510","pdf_url":"https://downloads.hindawi.com/journals/acisc/2022/2014510.pdf","source":{"id":"https://openalex.org/S30680879","display_name":"Applied Computational Intelligence and Soft Computing","issn_l":"1687-9724","issn":["1687-9724","1687-9732"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Computational Intelligence and Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1419670400","display_name":null,"funder_award_id":"GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1650125035","display_name":null,"funder_award_id":"B-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3729718126","display_name":null,"funder_award_id":"PID2020-117800GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5805502524","display_name":null,"funder_award_id":"PID2020","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6589649124","display_name":null,"funder_award_id":"PID2020-","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225012721.pdf","grobid_xml":"https://content.openalex.org/works/W4225012721.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1509329028","https://openalex.org/W1522301498","https://openalex.org/W1533861849","https://openalex.org/W1575978816","https://openalex.org/W1847315806","https://openalex.org/W1853291804","https://openalex.org/W1995341919","https://openalex.org/W2000076944","https://openalex.org/W2011756861","https://openalex.org/W2016765436","https://openalex.org/W2017592766","https://openalex.org/W2028070629","https://openalex.org/W2036599383","https://openalex.org/W2062183865","https://openalex.org/W2066333398","https://openalex.org/W2076063813","https://openalex.org/W2092202824","https://openalex.org/W2094306929","https://openalex.org/W2105246293","https://openalex.org/W2131766020","https://openalex.org/W2133474653","https://openalex.org/W2221735340","https://openalex.org/W2505225485","https://openalex.org/W2785940809","https://openalex.org/W2787132992","https://openalex.org/W2787525328","https://openalex.org/W2803629276","https://openalex.org/W2883674512","https://openalex.org/W2950694106","https://openalex.org/W2962727772","https://openalex.org/W2973205062","https://openalex.org/W2980308966","https://openalex.org/W3084233321","https://openalex.org/W3108827348","https://openalex.org/W3132455321","https://openalex.org/W3136021864","https://openalex.org/W3167190751","https://openalex.org/W3206445686","https://openalex.org/W4299436927","https://openalex.org/W4301222678","https://openalex.org/W6631190155","https://openalex.org/W6748132378"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098","https://openalex.org/W2377513064","https://openalex.org/W4394824137"],"abstract_inverted_index":{"The":[0,50],"deep":[1],"neural":[2,113],"network":[3,55,114],"(DNN)":[4],"was":[5],"applied":[6],"for":[7,23],"estimating":[8],"a":[9,15,24,32],"set":[10,25],"of":[11,14,26,40,46,67,74,83,94,153,159],"unknown":[12],"parameters":[13,47,73],"dynamical":[16,139],"system":[17,85,90],"whose":[18],"measured":[19,118],"data":[20,119],"are":[21],"given":[22],"discrete":[27,106],"time":[28,155],"points.":[29],"We":[30],"developed":[31],"new":[33],"vectorized":[34],"algorithm":[35,63,99],"that":[36,144],"takes":[37],"the":[38,54,62,65,72,75,78,84,89,98,101,105,112,117,124,145,157],"number":[39,45,158],"unknowns":[41,95],"(state":[42],"variables)":[43],"and":[44,59,88,96,116,126,137],"into":[48],"consideration.":[49],"algorithm,":[51],"first,":[52],"trains":[53],"to":[56,70],"determine":[57],"weights":[58],"biases.":[60],"Next,":[61],"solves":[64,100],"systems":[66],"algebraic":[68,102],"equations":[69],"estimate":[71],"system.":[76],"If":[77],"right":[79],"hand":[80],"side":[81],"function":[82],"is":[86,120,148],"smooth":[87],"have":[91],"equal":[92],"numbers":[93],"parameters,":[97],"equation":[103],"at":[104],"point":[107],"where":[108],"absolute":[109],"error":[110],"between":[111],"solutions":[115],"minimum.":[121],"This":[122],"improves":[123],"accuracy":[125],"reduces":[127],"computational":[128,154],"time.":[129],"Several":[130],"tests":[131],"were":[132],"carried":[133],"out":[134],"in":[135,151],"linear":[136],"non-linear":[138],"systems.":[140],"Last,":[141],"we":[142],"showed":[143],"DNN":[146],"approach":[147],"more":[149],"successful":[150],"terms":[152],"as":[156],"hidden":[160],"layers":[161],"increases.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}