{"id":"https://openalex.org/W3095737982","doi":"https://doi.org/10.1109/tnnls.2021.3076777","title":"Discrete-Time Signatures and Randomness in Reservoir Computing","display_name":"Discrete-Time Signatures and Randomness in Reservoir Computing","publication_year":2021,"publication_date":"2021-05-26","ids":{"openalex":"https://openalex.org/W3095737982","doi":"https://doi.org/10.1109/tnnls.2021.3076777","mag":"3095737982","pmid":"https://pubmed.ncbi.nlm.nih.gov/34038370"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3076777","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3076777","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/9931397/09442205.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/5962385/9931397/09442205.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069510245","display_name":"Christa Cuchiero","orcid":"https://orcid.org/0000-0003-1308-5341"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Christa Cuchiero","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Vienna, Vienna, Austria","Department of Statistics and Operations Research, University of Vienna, 1010 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, 1010 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069340033","display_name":"Lukas Gonon","orcid":"https://orcid.org/0000-0003-3367-2455"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lukas Gonon","raw_affiliation_strings":["LMU Mathematics Institute, Ludwig-Maximilians-Universität München, Munich, Germany","[LMU Mathematics Institute, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80336 Munich, Germany.]"],"affiliations":[{"raw_affiliation_string":"LMU Mathematics Institute, Ludwig-Maximilians-Universität München, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"[LMU Mathematics Institute, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80336 Munich, Germany.]","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087676185","display_name":"Lyudmila Grigoryeva","orcid":"https://orcid.org/0000-0002-4857-7779"},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lyudmila Grigoryeva","raw_affiliation_strings":["Department of Mathematics and Statistics, Universität Konstanz, Konstanz, Germany","[Department of Mathematics and Statistics, Universit\u00e4t Konstanz, 78464 Konstanz, Germany.]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Universität Konstanz, Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]},{"raw_affiliation_string":"[Department of Mathematics and Statistics, Universit\u00e4t Konstanz, 78464 Konstanz, Germany.]","institution_ids":["https://openalex.org/I189712700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072304172","display_name":"Juan\u2010Pablo Ortega","orcid":"https://orcid.org/0000-0002-5412-9622"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Juan-Pablo Ortega","raw_affiliation_strings":["Nanyang Technological University, Singapore","[Nanyang Technological University, Singapore (e-mail: juan-pablo.ortega@ntu.edu.sg)]"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"[Nanyang Technological University, Singapore (e-mail: juan-pablo.ortega@ntu.edu.sg)]","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084818994","display_name":"Josef Teichmann","orcid":"https://orcid.org/0000-0003-0125-7484"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Josef Teichmann","raw_affiliation_strings":["ETH Zürich, Zürich, Switzerland","ETH Zurich, 8092 Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"ETH Zürich, Zürich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"ETH Zurich, 8092 Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5069510245"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":null,"apc_paid":null,"fwci":0.2799,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61077426,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":"11","first_page":"6321","last_page":"6330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/reservoir-computing","display_name":"Reservoir computing","score":0.9024195671081543},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8286269903182983},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6044796109199524},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.588374137878418},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5636573433876038},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5003321170806885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46067652106285095},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4014481008052826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3796970546245575},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34008312225341797},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.277189165353775},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.22004589438438416},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15401840209960938},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1315554678440094},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10588929057121277}],"concepts":[{"id":"https://openalex.org/C135796866","wikidata":"https://www.wikidata.org/wiki/Q7315328","display_name":"Reservoir computing","level":4,"score":0.9024195671081543},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8286269903182983},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6044796109199524},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.588374137878418},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5636573433876038},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5003321170806885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46067652106285095},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4014481008052826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3796970546245575},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34008312225341797},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.277189165353775},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.22004589438438416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15401840209960938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1315554678440094},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10588929057121277}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1109/tnnls.2021.3076777","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3076777","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/9931397/09442205.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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:34038370","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34038370","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},{"id":"pmh:oai:www.alexandria.unisg.ch:261549","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400650","display_name":"Alexandria (UniSG) (University of St.Gallen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158813","host_organization_name":"St.Gallen University of Teacher Education","host_organization_lineage":["https://openalex.org/I4210158813"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Forthcoming"},{"id":"pmh:oai:arXiv.org:2010.14615","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.14615","pdf_url":"https://arxiv.org/pdf/2010.14615","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3095737982","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2010.14615.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:kops.uni-konstanz.de:123456789/55523","is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:352-2-zpejktn8beud5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401487","display_name":"KOPS (University of Konstanz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189712700","host_organization_name":"University of Konstanz","host_organization_lineage":["https://openalex.org/I189712700"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/522510","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/522510","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems, 33 (11)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.48550/arxiv.2010.14615","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2010.14615","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.3929/ethz-b-000522510","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000522510","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1109/tnnls.2021.3076777","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3076777","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/9931397/09442205.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G100458524","display_name":"Nonlinear inverse problems in Image Processing and image processing methods for Inverse Problems.","funder_award_id":"Y 123","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G1726514839","display_name":null,"funder_award_id":"START","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2787067286","display_name":null,"funder_award_id":"ANR-14-OHRI-0002-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3106981857","display_name":null,"funder_award_id":"175801","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4836148144","display_name":null,"funder_award_id":"20002","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5186408476","display_name":"Brain-Inspired PHOtonic PROCessor","funder_award_id":"ANR-14-OHRI-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5353018614","display_name":null,"funder_award_id":"ANR-14-OHRI-0002-02","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6276764425","display_name":null,"funder_award_id":"Y 1235","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6637714012","display_name":null,"funder_award_id":"200021_175801/1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6722961648","display_name":null,"funder_award_id":"Y 1235","funder_id":"https://openalex.org/F4320326461","funder_display_name":"Kommission zur F\u00f6rderung der wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6851345361","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8069666271","display_name":null,"funder_award_id":"179114","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8184292771","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8988983655","display_name":null,"funder_award_id":"MA16-021","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311323","display_name":"Ottawa Hospital Research Institute","ror":"https://ror.org/03c62dg59"},{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320326461","display_name":"Kommission zur F\u00f6rderung der wissenschaftlichen Forschung","ror":null},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3095737982.pdf","grobid_xml":"https://content.openalex.org/works/W3095737982.grobid-xml"},"referenced_works_count":82,"referenced_works":["https://openalex.org/W1540454497","https://openalex.org/W1591801644","https://openalex.org/W1965702053","https://openalex.org/W1973613062","https://openalex.org/W1977664984","https://openalex.org/W1979575715","https://openalex.org/W1999996900","https://openalex.org/W2004095444","https://openalex.org/W2004383590","https://openalex.org/W2015879801","https://openalex.org/W2020934227","https://openalex.org/W2022248835","https://openalex.org/W2029939668","https://openalex.org/W2037757210","https://openalex.org/W2045044457","https://openalex.org/W2051376468","https://openalex.org/W2063544484","https://openalex.org/W2085927849","https://openalex.org/W2088658556","https://openalex.org/W2098707695","https://openalex.org/W2103179919","https://openalex.org/W2105934661","https://openalex.org/W2111072639","https://openalex.org/W2113132555","https://openalex.org/W2114978843","https://openalex.org/W2118706537","https://openalex.org/W2126273023","https://openalex.org/W2139794777","https://openalex.org/W2143612262","https://openalex.org/W2144001972","https://openalex.org/W2144902422","https://openalex.org/W2147717514","https://openalex.org/W2159682675","https://openalex.org/W2160068178","https://openalex.org/W2160511393","https://openalex.org/W2169572027","https://openalex.org/W2170993585","https://openalex.org/W2171865010","https://openalex.org/W2321579306","https://openalex.org/W2378200195","https://openalex.org/W2508681157","https://openalex.org/W2726125368","https://openalex.org/W2765128778","https://openalex.org/W2782714865","https://openalex.org/W2792677840","https://openalex.org/W2808720320","https://openalex.org/W2894729295","https://openalex.org/W2962712200","https://openalex.org/W2963003308","https://openalex.org/W2963078535","https://openalex.org/W2963627589","https://openalex.org/W2963819248","https://openalex.org/W2964143464","https://openalex.org/W2964335273","https://openalex.org/W2965497096","https://openalex.org/W2979473749","https://openalex.org/W2983923309","https://openalex.org/W2997561854","https://openalex.org/W3015241628","https://openalex.org/W3018848489","https://openalex.org/W3025101483","https://openalex.org/W3101465594","https://openalex.org/W3106415951","https://openalex.org/W3117735472","https://openalex.org/W3125014870","https://openalex.org/W3128485317","https://openalex.org/W3146797348","https://openalex.org/W3147249397","https://openalex.org/W4244792406","https://openalex.org/W4300263211","https://openalex.org/W6632678810","https://openalex.org/W6635446068","https://openalex.org/W6635541693","https://openalex.org/W6639497327","https://openalex.org/W6681302627","https://openalex.org/W6709740424","https://openalex.org/W6746233556","https://openalex.org/W6758500826","https://openalex.org/W6762250134","https://openalex.org/W6762548897","https://openalex.org/W6763285572","https://openalex.org/W6770111215"],"related_works":["https://openalex.org/W3164740676","https://openalex.org/W1996163111","https://openalex.org/W2062730798","https://openalex.org/W156202331","https://openalex.org/W2323374439","https://openalex.org/W2951955476","https://openalex.org/W1964071239","https://openalex.org/W3028316595","https://openalex.org/W2162836072","https://openalex.org/W2166167374","https://openalex.org/W2157800531","https://openalex.org/W2045355467","https://openalex.org/W3109034554","https://openalex.org/W2320819545","https://openalex.org/W2091061117","https://openalex.org/W2006102754","https://openalex.org/W955461053","https://openalex.org/W4588142","https://openalex.org/W2017373022","https://openalex.org/W436329754"],"abstract_inverted_index":{"A":[0],"new":[1],"explanation":[2],"of":[3,7,24,58,61,129],"the":[4,8,19,22,90,103,122,127,130,139],"geometric":[5],"nature":[6],"reservoir":[9,53,74,94,132],"computing":[10],"(RC)":[11],"phenomenon":[12,45],"is":[13,16,41,49,84,96],"presented.":[14],"RC":[15],"understood":[17],"in":[18,80,102,126],"literature":[20],"as":[21,55],"possibility":[23],"approximating":[25],"input-output":[26],"systems":[27,33,54,63],"with":[28,76,87],"randomly":[29,77],"chosen":[30],"recurrent":[31],"neural":[32],"and":[34,136],"a":[35,59,72,81,111],"trained":[36],"linear":[37,113],"readout":[38,114],"layer.":[39],"Light":[40],"shed":[42],"on":[43],"this":[44],"by":[46,109],"constructing":[47],"what":[48],"called":[50],"strongly":[51],"universal":[52],"random":[56],"projections":[57],"family":[60],"state-space":[62],"that":[64,83],"generate":[65],"Volterra":[66],"series":[67],"expansions.":[68],"This":[69,93],"procedure":[70],"yields":[71],"state-affine":[73],"system":[75,95,133],"generated":[78],"coefficients":[79],"dimension":[82],"logarithmically":[85],"reduced":[86],"respect":[88],"to":[89,98],"original":[91],"system.":[92],"able":[97],"approximate":[99],"any":[100],"element":[101],"fading":[104],"memory":[105],"filters":[106],"class":[107],"just":[108],"training":[110],"different":[112,117],"for":[115,121,138],"each":[116],"filter.":[118],"Explicit":[119],"expressions":[120],"probability":[123],"distributions":[124],"needed":[125],"generation":[128],"projected":[131],"are":[134,143],"stated,":[135],"bounds":[137],"committed":[140],"approximation":[141],"error":[142],"provided.":[144]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}