{"id":"https://openalex.org/W1829146236","doi":"https://doi.org/10.1162/neco_a_00756","title":"A Statistical Framework to Infer Delay and Direction of Information Flow from Measurements of Complex Systems","display_name":"A Statistical Framework to Infer Delay and Direction of Information Flow from Measurements of Complex Systems","publication_year":2015,"publication_date":"2015-06-16","ids":{"openalex":"https://openalex.org/W1829146236","doi":"https://doi.org/10.1162/neco_a_00756","mag":"1829146236","pmid":"https://pubmed.ncbi.nlm.nih.gov/26079751"},"language":"en","primary_location":{"id":"doi:10.1162/neco_a_00756","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00756","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","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/A5112347390","display_name":"Johannes Schumacher","orcid":null},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Johannes Schumacher","raw_affiliation_strings":["Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany","Department Biogeochemical Processes, Prof. S. E. Trumbore, Max Planck Institute for Biogeochemistry, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany","institution_ids":["https://openalex.org/I170658231"]},{"raw_affiliation_string":"Department Biogeochemical Processes, Prof. S. E. Trumbore, Max Planck Institute for Biogeochemistry, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017109964","display_name":"Thomas Wunderle","orcid":"https://orcid.org/0000-0003-3556-4570"},"institutions":[{"id":"https://openalex.org/I4210097113","display_name":"Ernst Str\u00fcngmann Institute for Neuroscience","ror":"https://ror.org/00ygt2y02","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210097113"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Wunderle","raw_affiliation_strings":["Ernst Str\u00fcngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Frankfurt D-60528 Germany"],"affiliations":[{"raw_affiliation_string":"Ernst Str\u00fcngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Frankfurt D-60528 Germany","institution_ids":["https://openalex.org/I4210097113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065034707","display_name":"Pascal Fries","orcid":"https://orcid.org/0000-0002-4270-1468"},"institutions":[{"id":"https://openalex.org/I4210097113","display_name":"Ernst Str\u00fcngmann Institute for Neuroscience","ror":"https://ror.org/00ygt2y02","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210097113"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pascal Fries","raw_affiliation_strings":["Ernst Str\u00fcngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Frankfurt D-60528 Germany"],"affiliations":[{"raw_affiliation_string":"Ernst Str\u00fcngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Frankfurt D-60528 Germany","institution_ids":["https://openalex.org/I4210097113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071328699","display_name":"Frank J\u00e4kel","orcid":"https://orcid.org/0000-0002-1355-7663"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank J\u00e4kel","raw_affiliation_strings":["Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany"],"affiliations":[{"raw_affiliation_string":"Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086183865","display_name":"Gordon Pipa","orcid":"https://orcid.org/0000-0002-3416-2652"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gordon Pipa","raw_affiliation_strings":["Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany"],"affiliations":[{"raw_affiliation_string":"Neuroinformatics Department, Institute of Cognitive Science, University of Osnabr\u00fcck, Osnabr\u00fcck D-49069, Germany","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5112347390"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I170658231"],"apc_list":null,"apc_paid":null,"fwci":2.3142,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87713015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"27","issue":"8","first_page":"1555","last_page":"1608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9995999932289124,"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":0.9995999932289124,"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/T10241","display_name":"Functional Brain Connectivity Studies","score":0.9932000041007996,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/synchronization","display_name":"Synchronization (alternating current)","score":0.6140028238296509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5872638821601868},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.5623858571052551},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5320773124694824},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.523432731628418},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5101280808448792},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5043388605117798},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.43877464532852173},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.43503034114837646},{"id":"https://openalex.org/keywords/visual-cortex","display_name":"Visual cortex","score":0.428035169839859},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41673174500465393},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4154638648033142},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.4127153158187866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3741549551486969},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2724693715572357},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22637635469436646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19235381484031677}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6140028238296509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5872638821601868},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.5623858571052551},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5320773124694824},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.523432731628418},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5101280808448792},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5043388605117798},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.43877464532852173},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43503034114837646},{"id":"https://openalex.org/C2779345533","wikidata":"https://www.wikidata.org/wiki/Q75785","display_name":"Visual cortex","level":2,"score":0.428035169839859},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41673174500465393},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4154638648033142},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4127153158187866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3741549551486969},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2724693715572357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22637635469436646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19235381484031677},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"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/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D002415","descriptor_name":"Cats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D002415","descriptor_name":"Cats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D002415","descriptor_name":"Cats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007257","descriptor_name":"Information Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009991","descriptor_name":"Oscillometry","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009991","descriptor_name":"Oscillometry","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009991","descriptor_name":"Oscillometry","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014793","descriptor_name":"Visual Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D014793","descriptor_name":"Visual Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D014793","descriptor_name":"Visual Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D058256","descriptor_name":"Brain Waves","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D058256","descriptor_name":"Brain Waves","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D058256","descriptor_name":"Brain Waves","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1162/neco_a_00756","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00756","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:26079751","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26079751","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":"Neural computation","raw_type":null},{"id":"pmh:oai:pure.mpg.de:item_2172472","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0027-D176-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural computation","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:106102","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/106102/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W33840674","https://openalex.org/W83146239","https://openalex.org/W237924264","https://openalex.org/W1498636830","https://openalex.org/W1501760102","https://openalex.org/W1509562192","https://openalex.org/W1509699090","https://openalex.org/W1597839575","https://openalex.org/W1746819321","https://openalex.org/W1796818009","https://openalex.org/W1965357685","https://openalex.org/W1966680739","https://openalex.org/W1970954629","https://openalex.org/W1987658377","https://openalex.org/W1988520084","https://openalex.org/W1995945562","https://openalex.org/W2000701155","https://openalex.org/W2004741305","https://openalex.org/W2016918012","https://openalex.org/W2017147656","https://openalex.org/W2038419284","https://openalex.org/W2038486468","https://openalex.org/W2039627263","https://openalex.org/W2047028564","https://openalex.org/W2049111826","https://openalex.org/W2077491345","https://openalex.org/W2083278075","https://openalex.org/W2085560853","https://openalex.org/W2090394779","https://openalex.org/W2099604946","https://openalex.org/W2104533781","https://openalex.org/W2123492259","https://openalex.org/W2123759892","https://openalex.org/W2127533144","https://openalex.org/W2142858796","https://openalex.org/W2151718948","https://openalex.org/W2152937653","https://openalex.org/W2157084876","https://openalex.org/W2161578473","https://openalex.org/W2162870748","https://openalex.org/W2178225550","https://openalex.org/W2294604761","https://openalex.org/W2797563284","https://openalex.org/W2974222084","https://openalex.org/W2999905431","https://openalex.org/W3036383388","https://openalex.org/W3148585635","https://openalex.org/W4211049957","https://openalex.org/W4229770288","https://openalex.org/W4234698323","https://openalex.org/W4239340087","https://openalex.org/W4242508002","https://openalex.org/W4247266993","https://openalex.org/W4249186015","https://openalex.org/W4285719527","https://openalex.org/W4291439952","https://openalex.org/W4293163450","https://openalex.org/W4298293875","https://openalex.org/W4299551239"],"related_works":["https://openalex.org/W2380573388","https://openalex.org/W2369636957","https://openalex.org/W2029465934","https://openalex.org/W2544687545","https://openalex.org/W4231087120","https://openalex.org/W2375357969","https://openalex.org/W2151535469","https://openalex.org/W1631301428","https://openalex.org/W2371841467","https://openalex.org/W2045011494"],"abstract_inverted_index":{"In":[0,153],"neuroscience,":[1],"data":[2],"are":[3],"typically":[4],"generated":[5],"from":[6,16,47,68],"neural":[7],"network":[8],"activity.":[9],"The":[10,94,139],"resulting":[11],"time":[12],"series":[13],"represent":[14],"measurements":[15,46,63,69],"spatially":[17],"distributed":[18],"subsystems":[19],"with":[20,146],"complex":[21,112],"interactions,":[22],"weakly":[23],"coupled":[24],"to":[25,35,61,77,162],"a":[26,32,98,147],"high-dimensional":[27],"global":[28],"system.":[29],"We":[30],"present":[31],"statistical":[33],"framework":[34],"estimate":[36,78],"the":[37,71,79,82,142],"direction":[38],"of":[39,49,64,70,81,86,100,103,134,141,149],"information":[40,120],"flow":[41,121],"and":[42],"its":[43],"delay":[44,80],"in":[45,130,166],"systems":[48,67,135],"this":[50,92,124],"type.":[51],"Informed":[52],"by":[53,84],"differential":[54],"topology,":[55],"gaussian":[56],"process":[57],"regression":[58],"is":[59,122,144],"employed":[60],"reconstruct":[62],"putative":[65],"driving":[66],"driven":[72],"systems.":[73],"These":[74],"reconstructions":[75],"serve":[76],"interaction":[83],"means":[85],"an":[87],"analytical":[88],"criterion":[89],"developed":[90],"for":[91,97,128],"purpose.":[93],"model":[95],"accounts":[96],"range":[99],"possible":[101],"sources":[102],"uncertainty,":[104],"including":[105],"temporally":[106],"evolving":[107],"intrinsic":[108],"noise,":[109],"while":[110],"assuming":[111],"nonlinear":[113],"dependencies.":[114],"Furthermore,":[115],"we":[116,155],"show":[117,156],"that":[118,157],"if":[119],"delayed,":[123],"approach":[125],"also":[126],"allows":[127],"inference":[129],"strong":[131],"coupling":[132],"scenarios":[133],"exhibiting":[136],"synchronization":[137],"phenomena.":[138],"validity":[140],"method":[143],"demonstrated":[145],"variety":[148],"delay-coupled":[150],"chaotic":[151],"oscillators.":[152],"addition,":[154],"these":[158],"results":[159],"seamlessly":[160],"transfer":[161],"local":[163],"field":[164],"potentials":[165],"cat":[167],"visual":[168],"cortex.":[169]},"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
