{"id":"https://openalex.org/W2986903508","doi":"https://doi.org/10.1007/s10472-019-09666-2","title":"Data-driven Koopman operator approach for computational neuroscience","display_name":"Data-driven Koopman operator approach for computational neuroscience","publication_year":2019,"publication_date":"2019-11-11","ids":{"openalex":"https://openalex.org/W2986903508","doi":"https://doi.org/10.1007/s10472-019-09666-2","mag":"2986903508"},"language":"en","primary_location":{"id":"doi:10.1007/s10472-019-09666-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10472-019-09666-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10472-019-09666-2.pdf","source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10472-019-09666-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026130715","display_name":"Natasza Marrouch","orcid":"https://orcid.org/0000-0003-4984-0812"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Natasza Marrouch","raw_affiliation_strings":["Department of Psychological Sciences, University of Connecticut, Storrs, CT, USA"],"raw_orcid":"https://orcid.org/0000-0003-4984-0812","affiliations":[{"raw_affiliation_string":"Department of Psychological Sciences, University of Connecticut, Storrs, CT, USA","institution_ids":["https://openalex.org/I140172145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065096577","display_name":"Joanna S\u0142awi\u0144ska","orcid":"https://orcid.org/0000-0003-3099-5136"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joanna Slawinska","raw_affiliation_strings":["Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076538541","display_name":"Dimitrios Giannakis","orcid":"https://orcid.org/0000-0002-4220-0313"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitrios Giannakis","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104669084","display_name":"Heather L. Read","orcid":"https://orcid.org/0000-0001-7558-4758"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Heather L. Read","raw_affiliation_strings":["Department of Psychological Sciences/Department of Biomedical Engineering, University of Connecticut, Storrs, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychological Sciences/Department of Biomedical Engineering, University of Connecticut, Storrs, CT, USA","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026130715"],"corresponding_institution_ids":["https://openalex.org/I140172145"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.2457,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.79077766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"88","issue":"11-12","first_page":"1155","last_page":"1173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9980000257492065,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9889000058174133,"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/computer-science","display_name":"Computer science","score":0.564976692199707},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5109500288963318},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49560344219207764},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4822750389575958},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43825241923332214},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4374101758003235},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4264097809791565},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41129374504089355},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33483922481536865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26155394315719604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12887921929359436},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12645074725151062}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.564976692199707},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5109500288963318},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49560344219207764},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4822750389575958},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43825241923332214},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4374101758003235},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4264097809791565},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41129374504089355},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33483922481536865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26155394315719604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12887921929359436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12645074725151062},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10472-019-09666-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10472-019-09666-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10472-019-09666-2.pdf","source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10472-019-09666-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10472-019-09666-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10472-019-09666-2.pdf","source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2066113633","display_name":null,"funder_award_id":"1551489","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3045201915","display_name":null,"funder_award_id":"1355065","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3279526570","display_name":null,"funder_award_id":"DC015138 01","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G4166648338","display_name":null,"funder_award_id":"1842538","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4357549372","display_name":null,"funder_award_id":"HR0011-16- C-0116","funder_id":"https://openalex.org/F4320337531","funder_display_name":"Defense Sciences Office, DARPA"},{"id":"https://openalex.org/G4831476598","display_name":null,"funder_award_id":"N00014-16-1-2649","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G483951814","display_name":null,"funder_award_id":"1842538","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G5002924152","display_name":"Novel Kernel Methods for Data Analysis in Dynamical Systems: Applications to Dimension Reduction and Prediction in Atmospheric and Oceanic Dynamics","funder_award_id":"1521775","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G580510386","display_name":null,"funder_award_id":"DMS-1521775","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6961067593","display_name":null,"funder_award_id":"HR0011-16-C-0116","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G8255369147","display_name":null,"funder_award_id":"DMS-1521775","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310017","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320335125","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337531","display_name":"Defense Sciences Office, DARPA","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320337741","display_name":"RIKEN Brain Science Institute","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2986903508.pdf","grobid_xml":"https://content.openalex.org/works/W2986903508.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W898455653","https://openalex.org/W1270485898","https://openalex.org/W1595027853","https://openalex.org/W1860903952","https://openalex.org/W1972511154","https://openalex.org/W1981359380","https://openalex.org/W1988160174","https://openalex.org/W1993189925","https://openalex.org/W1997054581","https://openalex.org/W2002537496","https://openalex.org/W2014980692","https://openalex.org/W2033807083","https://openalex.org/W2033808916","https://openalex.org/W2040858483","https://openalex.org/W2058368564","https://openalex.org/W2067035505","https://openalex.org/W2067058552","https://openalex.org/W2068980337","https://openalex.org/W2074388175","https://openalex.org/W2075674145","https://openalex.org/W2078485646","https://openalex.org/W2080991705","https://openalex.org/W2084508986","https://openalex.org/W2093874564","https://openalex.org/W2096640419","https://openalex.org/W2097308346","https://openalex.org/W2119805934","https://openalex.org/W2119845553","https://openalex.org/W2122211455","https://openalex.org/W2132167023","https://openalex.org/W2145601335","https://openalex.org/W2147899501","https://openalex.org/W2148858712","https://openalex.org/W2151590986","https://openalex.org/W2166361350","https://openalex.org/W2178409791","https://openalex.org/W2190336928","https://openalex.org/W2225711375","https://openalex.org/W2266215813","https://openalex.org/W2287998060","https://openalex.org/W2324802422","https://openalex.org/W2403121157","https://openalex.org/W2412040923","https://openalex.org/W2418152387","https://openalex.org/W2468909797","https://openalex.org/W2524350643","https://openalex.org/W2528198563","https://openalex.org/W2563538602","https://openalex.org/W2635039932","https://openalex.org/W2732181512","https://openalex.org/W2745184613","https://openalex.org/W2795833322","https://openalex.org/W2804671798","https://openalex.org/W2888971142","https://openalex.org/W2897903328","https://openalex.org/W2922349926","https://openalex.org/W2962723334","https://openalex.org/W2963013180","https://openalex.org/W2963186138","https://openalex.org/W2963557665","https://openalex.org/W2975045696","https://openalex.org/W3038118776","https://openalex.org/W3082589275","https://openalex.org/W3101096811","https://openalex.org/W3105156084","https://openalex.org/W4212974066","https://openalex.org/W4213367101"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W2183306018","https://openalex.org/W2549990292","https://openalex.org/W2345479200","https://openalex.org/W2951819827","https://openalex.org/W2849310602","https://openalex.org/W2419146053","https://openalex.org/W2088247287","https://openalex.org/W3006008237","https://openalex.org/W4313153715"],"abstract_inverted_index":{"Abstract":[0],"This":[1,51,73],"article":[2],"presents":[3],"a":[4,32,114],"novel,":[5],"nonlinear,":[6],"data-driven":[7,83],"signal":[8],"processing":[9],"method,":[10,107],"which":[11],"can":[12],"help":[13],"neuroscience":[14,60],"researchers":[15],"visualize":[16],"and":[17,25,45,79,150,162,169],"understand":[18],"complex":[19],"dynamical":[20,87],"patterns":[21],"in":[22,66,96,134],"both":[23],"time":[24,69],"space.":[26],"Specifically,":[27],"we":[28,104,118,132],"present":[29],"applications":[30],"of":[31,38,85,99,128,137,167],"Koopman":[33],"operator":[34],"approach":[35,52],"for":[36,82],"eigendecomposition":[37],"electrophysiological":[39],"signals":[40,65],"into":[41],"orthogonal,":[42],"coherent":[43],"components":[44],"examine":[46],"their":[47],"associated":[48],"spatiotemporal":[49,165],"dynamics.":[50],"thus":[53],"provides":[54],"enhanced":[55],"capabilities":[56],"over":[57],"conventional":[58],"computational":[59],"tools":[61],"restricted":[62],"to":[63,93],"analyzing":[64],"either":[67],"the":[68,97,106,138,164],"or":[70,125],"space":[71],"domains.":[72],"is":[74],"achieved":[75],"via":[76],"machine":[77],"learning":[78],"kernel":[80],"methods":[81],"approximation":[84],"skew-product":[86],"systems.":[88],"The":[89],"approximations":[90],"successfully":[91],"converge":[92],"theoretical":[94],"values":[95],"limit":[98],"long":[100],"embedding":[101],"windows.":[102],"First,":[103],"describe":[105],"then":[108],"using":[109],"electrocorticographic":[110],"(ECoG)":[111],"data":[112],"from":[113],"mismatch":[115],"negativity":[116],"experiment,":[117],"extract":[119],"time-separable":[120],"frequencies":[121],"without":[122],"bandpass":[123],"filtering":[124],"prior":[126],"selection":[127],"wavelet":[129],"features.":[130],"Finally,":[131],"discuss":[133],"detail":[135],"two":[136],"extracted":[139],"components,":[140],"Beta":[141],"(":[142,153],"$":[143,145,154,156],"\\sim":[144,155],"<mml:math":[146,157],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mo>\u223c</mml:mo></mml:math>":[147,158],"13":[148],"Hz)":[149,160],"high":[151],"Gamma":[152],"50":[159],"frequencies,":[161],"explore":[163],"dynamics":[166],"high-":[168],"low-":[170],"frequency":[171],"components.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
