{"id":"https://openalex.org/W1980477994","doi":"https://doi.org/10.1142/s0129065796000166","title":"NONLINEAR TIME SERIES ANALYSIS BY NEURAL NETWORKS: A CASE STUDY","display_name":"NONLINEAR TIME SERIES ANALYSIS BY NEURAL NETWORKS: A CASE STUDY","publication_year":1996,"publication_date":"1996-05-01","ids":{"openalex":"https://openalex.org/W1980477994","doi":"https://doi.org/10.1142/s0129065796000166","mag":"1980477994","pmid":"https://pubmed.ncbi.nlm.nih.gov/8823629"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065796000166","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065796000166","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":"review","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/A5051405132","display_name":"Henrik Sax\u00e9n","orcid":"https://orcid.org/0000-0002-5671-8367"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"HENRIK SAX\u00c9N","raw_affiliation_strings":["Heat Engineering Laboratory, Department of Chemical Engineering, \u00c5bo Akademi, Biskopsgatan 8, 20500 \u00c5bo, Finland"],"affiliations":[{"raw_affiliation_string":"Heat Engineering Laboratory, Department of Chemical Engineering, \u00c5bo Akademi, Biskopsgatan 8, 20500 \u00c5bo, Finland","institution_ids":["https://openalex.org/I130217899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051405132"],"corresponding_institution_ids":["https://openalex.org/I130217899"],"apc_list":null,"apc_paid":null,"fwci":0.5522,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.73454571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"07","issue":"02","first_page":"195","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9926000237464905,"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":0.9926000237464905,"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":0.9495000243186951,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9176999926567078,"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/overfitting","display_name":"Overfitting","score":0.8980960845947266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6948426365852356},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6509950160980225},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6495147943496704},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.6308754682540894},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6178779006004333},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6087296605110168},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.6083786487579346},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5743982791900635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4545537233352661},{"id":"https://openalex.org/keywords/probabilistic-neural-network","display_name":"Probabilistic neural network","score":0.44871950149536133},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.4292188584804535},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.4119289219379425},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.39240801334381104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3604220151901245},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.26057136058807373},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.23303699493408203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22477617859840393}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.8980960845947266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6948426365852356},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6509950160980225},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6495147943496704},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.6308754682540894},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6178779006004333},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6087296605110168},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.6083786487579346},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5743982791900635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4545537233352661},{"id":"https://openalex.org/C134342201","wikidata":"https://www.wikidata.org/wiki/Q7246859","display_name":"Probabilistic neural network","level":4,"score":0.44871950149536133},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.4292188584804535},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.4119289219379425},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.39240801334381104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3604220151901245},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.26057136058807373},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.23303699493408203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22477617859840393},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"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":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011337","descriptor_name":"Probability Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011337","descriptor_name":"Probability Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011337","descriptor_name":"Probability Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013995","descriptor_name":"Time","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013995","descriptor_name":"Time","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013995","descriptor_name":"Time","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016015","descriptor_name":"Logistic Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016015","descriptor_name":"Logistic Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016015","descriptor_name":"Logistic Models","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},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065796000166","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065796000166","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:8823629","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/8823629","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2115072676","https://openalex.org/W1999205703","https://openalex.org/W4311212821","https://openalex.org/W2045727192","https://openalex.org/W2102065768","https://openalex.org/W1529660427","https://openalex.org/W3121106353","https://openalex.org/W2090361488","https://openalex.org/W2158578859","https://openalex.org/W2104714048"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,11,62],"neural":[4],"network":[5,22,66,108],"approach":[6],"to":[7,74],"time-series":[8],"analysis":[9,46],"of":[10,33,36,54,58,65,70,119],"univariate":[12],"nonlinear":[13],"system.":[14],"Feedforward":[15],"networks":[16,82],"are":[17,50,72,94,99],"studied,":[18],"and":[19,42,47,85,117],"an":[20,106,113],"appropriate":[21],"size":[23],"is":[24,83],"determined":[25,111],"by":[26,52,105,112],"different":[27],"criteria":[28],"computed":[29],"on":[30,39,101],"the":[31,34,37,40,55,59,68,86,102,120],"basis":[32],"performance":[35],"models":[38],"training":[41,116],"test":[43],"sets.":[44],"The":[45,77],"conclusions":[48],"drawn":[49],"supported":[51],"studies":[53],"phase":[56],"portraits":[57],"models.":[60],"By":[61],"proper":[63],"choice":[64],"size,":[67],"problems":[69],"over-parameterization":[71],"demonstrated":[73],"be":[75],"avoided.":[76],"overfitting":[78],"observed":[79],"for":[80,89],"larger":[81],"analyzed":[84],"underlying":[87],"reasons":[88],"their":[90],"worse":[91],"generalization":[92],"capabilities":[93],"explained.":[95],"Finally,":[96],"some":[97],"observations":[98],"made":[100],"approximation":[103],"provided":[104],"oversized":[107],"with":[109],"weights":[110],"incomplete":[114],"(interrupted)":[115],"that":[118],"optimal-sized":[121],"network.":[122]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}