{"id":"https://openalex.org/W3164740676","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/W3164740676","doi":"https://doi.org/10.1109/tnnls.2021.3076777","mag":"3164740676","pmid":"https://pubmed.ncbi.nlm.nih.gov/34038370"},"language":"en","primary_location":{"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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","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":false,"raw_author_name":"Christa Cuchiero","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, 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"],"affiliations":[{"raw_affiliation_string":"LMU Mathematics Institute, Ludwig-Maximilians-Universität München, 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"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Universität Konstanz, 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"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","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":[],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Josef Teichmann","raw_affiliation_strings":["ETH Zürich, Zürich, Switzerland"],"affiliations":[{"raw_affiliation_string":"ETH Zürich, Zürich, Switzerland","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.738,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":27,"citation_normalized_percentile":{"value":0.999972,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"33","issue":"11","first_page":"6321","last_page":"6330"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":1.0,"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":1.0,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9975,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.99,"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/reservoir-computing","display_name":"Reservoir computing","score":0.46587393}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7853358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.57143193},{"id":"https://openalex.org/C135796866","wikidata":"https://www.wikidata.org/wiki/Q7315328","display_name":"Reservoir computing","level":4,"score":0.46587393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1684168},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13946894},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09473655},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"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},{"is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11850/522510","pdf_url":"https://www.research-collection.ethz.ch/bitstream/20.500.11850/522510/2/Discrete-Time_Signatures_and_Randomness_in_Reservoir_Computing.pdf","source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":true,"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":["ETH Zurich"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:352-2-zpejktn8beud5","pdf_url":"https://kops.uni-konstanz.de/bitstreams/3bb1f728-dcc7-4127-8eb5-fdd97b5db84f/download","source":{"id":"https://openalex.org/S4377196311","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":["University of Konstanz"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"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":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"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},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche","award_id":"ANR-14-OHRI-0002-02"},{"funder":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","award_id":"179114"},{"funder":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund","award_id":"MA16-021"},{"funder":"https://openalex.org/F4320326461","funder_display_name":"Kommission zur F\u00f6rderung der wissenschaftlichen Forschung","award_id":"Y 1235"}],"datasets":[],"versions":[],"referenced_works_count":60,"referenced_works":["https://openalex.org/W1965702053","https://openalex.org/W1973240854","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/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/W2147717514","https://openalex.org/W2159682675","https://openalex.org/W2160068178","https://openalex.org/W2160511393","https://openalex.org/W2169572027","https://openalex.org/W2171865010","https://openalex.org/W2321579306","https://openalex.org/W2726125368","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/W2963611658","https://openalex.org/W2963819248","https://openalex.org/W2964143464","https://openalex.org/W2965497096","https://openalex.org/W2979473749","https://openalex.org/W2982551457","https://openalex.org/W2983923309","https://openalex.org/W3018848489","https://openalex.org/W3025101483","https://openalex.org/W3099852670","https://openalex.org/W3105585588","https://openalex.org/W3125014870","https://openalex.org/W3128485317","https://openalex.org/W3147249397","https://openalex.org/W4244792406","https://openalex.org/W4288578125","https://openalex.org/W4298379935","https://openalex.org/W4300263211"],"related_works":["https://openalex.org/W4389072666","https://openalex.org/W4300888463","https://openalex.org/W4226454644","https://openalex.org/W3192662224","https://openalex.org/W3034924094","https://openalex.org/W2998821156","https://openalex.org/W2949388105","https://openalex.org/W2887258823","https://openalex.org/W2748952813","https://openalex.org/W131743439"],"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]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3164740676","counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2}],"updated_date":"2025-01-05T18:38:13.739363","created_date":"2021-06-07"}