{"id":"https://openalex.org/W3175755326","doi":"https://doi.org/10.1007/978-3-031-10525-8_2","title":"Explainable Nonlinear Modelling of\u00a0Multiple Time Series with\u00a0Invertible Neural Networks","display_name":"Explainable Nonlinear Modelling of\u00a0Multiple Time Series with\u00a0Invertible Neural Networks","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3175755326","doi":"https://doi.org/10.1007/978-3-031-10525-8_2","mag":"3175755326"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-10525-8_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10525-8_2","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"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/A5075672443","display_name":"Luis M. L\u00f3pez-Ramos","orcid":"https://orcid.org/0000-0001-8072-3994"},"institutions":[{"id":"https://openalex.org/I200650556","display_name":"University of Agder","ror":"https://ror.org/03x297z98","country_code":"NO","type":"education","lineage":["https://openalex.org/I200650556"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Luis Miguel Lopez-Ramos","raw_affiliation_strings":["Department of ICT, University of Agder, Grimstad, Norway","Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway"],"raw_orcid":"https://orcid.org/0000-0001-8072-3994","affiliations":[{"raw_affiliation_string":"Department of ICT, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]},{"raw_affiliation_string":"Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","institution_ids":[]},{"raw_affiliation_string":"SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007481525","display_name":"Kevin Roy","orcid":null},"institutions":[{"id":"https://openalex.org/I200650556","display_name":"University of Agder","ror":"https://ror.org/03x297z98","country_code":"NO","type":"education","lineage":["https://openalex.org/I200650556"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Kevin Roy","raw_affiliation_strings":["Department of ICT, University of Agder, Grimstad, Norway","Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ICT, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]},{"raw_affiliation_string":"Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","institution_ids":[]},{"raw_affiliation_string":"SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047173758","display_name":"Baltasar Beferull\u2010Lozano","orcid":"https://orcid.org/0000-0002-0902-6245"},"institutions":[{"id":"https://openalex.org/I200650556","display_name":"University of Agder","ror":"https://ror.org/03x297z98","country_code":"NO","type":"education","lineage":["https://openalex.org/I200650556"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Baltasar Beferull-Lozano","raw_affiliation_strings":["Department of ICT, University of Agder, Grimstad, Norway","Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway"],"raw_orcid":"https://orcid.org/0000-0002-0902-6245","affiliations":[{"raw_affiliation_string":"Department of ICT, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]},{"raw_affiliation_string":"Intelligent Signal Processing and Wireless Networks (WISENET) Center, Grimstad, Norway","institution_ids":[]},{"raw_affiliation_string":"SFI Offshore Mechatronics Center, University of Agder, Grimstad, Norway","institution_ids":["https://openalex.org/I200650556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075672443"],"corresponding_institution_ids":["https://openalex.org/I200650556"],"apc_list":null,"apc_paid":null,"fwci":4.4507,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95246589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"17","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9984999895095825,"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":0.9984999895095825,"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/T11326","display_name":"Stock Market Forecasting Methods","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.8080171942710876},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.7120007276535034},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6776512861251831},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6603304743766785},{"id":"https://openalex.org/keywords/backpropagation","display_name":"Backpropagation","score":0.6039621829986572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6013162732124329},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.600114643573761},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5686300992965698},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5208802223205566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5205203294754028},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4361264109611511},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42082297801971436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3593136668205261},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35652345418930054},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1647511124610901},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1458134651184082},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07088378071784973}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.8080171942710876},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.7120007276535034},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6776512861251831},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6603304743766785},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.6039621829986572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6013162732124329},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.600114643573761},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5686300992965698},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5208802223205566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5205203294754028},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4361264109611511},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42082297801971436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3593136668205261},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35652345418930054},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1647511124610901},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1458134651184082},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07088378071784973},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-10525-8_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10525-8_2","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1542447579","https://openalex.org/W2069522478","https://openalex.org/W2103496339","https://openalex.org/W2143428876","https://openalex.org/W2177027786","https://openalex.org/W2207202256","https://openalex.org/W2768621758","https://openalex.org/W2798585159","https://openalex.org/W2804375450","https://openalex.org/W2885789276","https://openalex.org/W2947626232","https://openalex.org/W2970971581","https://openalex.org/W2973013421","https://openalex.org/W3000451389","https://openalex.org/W3093011263","https://openalex.org/W3112870281","https://openalex.org/W3133777397","https://openalex.org/W3141099511","https://openalex.org/W3159140150","https://openalex.org/W3161314517","https://openalex.org/W3163853416","https://openalex.org/W3197577579","https://openalex.org/W3209143186","https://openalex.org/W6608439722"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W4239286941","https://openalex.org/W4289867043","https://openalex.org/W2088845016","https://openalex.org/W589102260","https://openalex.org/W2784467519","https://openalex.org/W1966421350","https://openalex.org/W4380682190","https://openalex.org/W2349019353","https://openalex.org/W2154965898"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}