{"id":"https://openalex.org/W2212061331","doi":"https://doi.org/10.1109/embc.2015.7319280","title":"Synergy, redundancy and unnormalized Granger causality","display_name":"Synergy, redundancy and unnormalized Granger causality","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2212061331","doi":"https://doi.org/10.1109/embc.2015.7319280","mag":"2212061331","pmid":"https://pubmed.ncbi.nlm.nih.gov/26737180"},"language":"en","primary_location":{"id":"doi:10.1109/embc.2015.7319280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc.2015.7319280","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)","raw_type":"proceedings-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/A5085541040","display_name":"Sebastiano Stramaglia","orcid":"https://orcid.org/0000-0002-5873-8564"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"S. Stramaglia","raw_affiliation_strings":["Physics Department of the University in Bari and Istituto Nazionale di Fisica Nucleare - Sezione di Bari, Basque Center for Applied Mathematics, Bilbao, Spain"],"affiliations":[{"raw_affiliation_string":"Physics Department of the University in Bari and Istituto Nazionale di Fisica Nucleare - Sezione di Bari, Basque Center for Applied Mathematics, Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029772450","display_name":"Leonardo Angelini","orcid":"https://orcid.org/0000-0001-5260-9932"},"institutions":[{"id":"https://openalex.org/I4210112283","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bari","ror":"https://ror.org/022hq6c49","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210112283"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Angelini","raw_affiliation_strings":["Physics Department of the University in Bari and Istituto Nazionale di Fisica Nucleare - Sezione di Bari"],"affiliations":[{"raw_affiliation_string":"Physics Department of the University in Bari and Istituto Nazionale di Fisica Nucleare - Sezione di Bari","institution_ids":["https://openalex.org/I4210112283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065897233","display_name":"Jes\u00fas M. Cort\u00e9s","orcid":"https://orcid.org/0000-0002-9059-8194"},"institutions":[{"id":"https://openalex.org/I4210137412","display_name":"Hospital de Cruces","ror":"https://ror.org/03nzegx43","country_code":"ES","type":"healthcare","lineage":["https://openalex.org/I4210125364","https://openalex.org/I4210137412"]},{"id":"https://openalex.org/I110594554","display_name":"Ikerbasque","ror":"https://ror.org/01cc3fy72","country_code":"ES","type":"other","lineage":["https://openalex.org/I110594554"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Cortes","raw_affiliation_strings":["Computational Neuroimaging Lab, Cruces University Hospital, Barakaldo, Spain","Ikerbasque, The Basque Foundation for Science, Bilbao, Spain"],"affiliations":[{"raw_affiliation_string":"Computational Neuroimaging Lab, Cruces University Hospital, Barakaldo, Spain","institution_ids":["https://openalex.org/I4210137412"]},{"raw_affiliation_string":"Ikerbasque, The Basque Foundation for Science, Bilbao, Spain","institution_ids":["https://openalex.org/I110594554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047882948","display_name":"Daniele Marinazzo","orcid":"https://orcid.org/0000-0002-9803-0122"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"D. Marinazzo","raw_affiliation_strings":["Faculty of Psychology and Educational Sciences, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Faculty of Psychology and Educational Sciences, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085541040"],"corresponding_institution_ids":["https://openalex.org/I2802176441"],"apc_list":null,"apc_paid":null,"fwci":0.5835,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68904212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":null,"first_page":"4037","last_page":"4040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9502999782562256,"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/granger-causality","display_name":"Granger causality","score":0.9164162874221802},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8066608309745789},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5865868926048279},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5829411745071411},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5580177307128906},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5526276230812073},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.5315313935279846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4667321443557739},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4269311726093292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41070133447647095},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3040618598461151},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.223724365234375}],"concepts":[{"id":"https://openalex.org/C129824826","wikidata":"https://www.wikidata.org/wiki/Q2630107","display_name":"Granger causality","level":2,"score":0.9164162874221802},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8066608309745789},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5865868926048279},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5829411745071411},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5580177307128906},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5526276230812073},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.5315313935279846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4667321443557739},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4269311726093292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41070133447647095},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3040618598461151},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.223724365234375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/embc.2015.7319280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc.2015.7319280","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)","raw_type":"proceedings-article"},{"id":"pmid:26737180","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26737180","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":"Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference","raw_type":null},{"id":"pmh:oai:ricerca.uniba.it:11586/161544","is_oa":false,"landing_page_url":"http://hdl.handle.net/11586/161544","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1510073064","https://openalex.org/W1812628688","https://openalex.org/W1866114900","https://openalex.org/W1899852503","https://openalex.org/W1932088538","https://openalex.org/W1972637876","https://openalex.org/W1987387046","https://openalex.org/W2014219648","https://openalex.org/W2024057644","https://openalex.org/W2026384642","https://openalex.org/W2027665171","https://openalex.org/W2036681456","https://openalex.org/W2037667080","https://openalex.org/W2092137811","https://openalex.org/W2096023955","https://openalex.org/W2123993001","https://openalex.org/W2152587044","https://openalex.org/W2156909104","https://openalex.org/W2159080219","https://openalex.org/W2592846171","https://openalex.org/W3101191730","https://openalex.org/W3101529451","https://openalex.org/W4240584348","https://openalex.org/W4300972832","https://openalex.org/W6640571472","https://openalex.org/W6683608245"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W2035792466","https://openalex.org/W2977645287","https://openalex.org/W4251418261","https://openalex.org/W1972675643","https://openalex.org/W2154758532","https://openalex.org/W2016341656","https://openalex.org/W4297648919"],"abstract_inverted_index":{"We":[0,50],"analyze":[1],"by":[2,38],"means":[3],"of":[4,9,20,26,54,68,71,79,89,104,133],"Granger":[5,33,57,90],"causality":[6,34,58,91],"the":[7,14,21,40,55,65,69,82,95],"effect":[8],"synergy":[10,105],"and":[11],"redundancy":[12],"in":[13,46,75],"inference":[15],"(from":[16],"time":[17],"series":[18],"data)":[19],"information":[22,108],"flow":[23,109],"between":[24],"subsystems":[25],"a":[27,60,101,111,123],"complex":[28],"network.":[29],"Whilst":[30],"fully":[31],"conditioned":[32],"is":[35,92,115],"not":[36],"affected":[37],"synergy,":[39],"pairwise":[41,102],"analysis":[42],"fails":[43],"to":[44,59,107,110],"put":[45],"evidence":[47,76],"synergetic":[48],"effects.":[49],"show":[51],"that":[52,85],"maximization":[53],"total":[56],"given":[61],"target,":[62,83],"over":[63],"all":[64],"possible":[66],"partitions":[67],"set":[70],"driving":[72],"variables,":[73],"puts":[74],"redundant":[77],"multiplets":[78],"variables":[80],"influencing":[81],"provided":[84],"an":[86],"unnormalized":[87],"definition":[88,128],"adopted.":[93],"Along":[94],"same":[96],"lines":[97],"we":[98],"also":[99],"introduce":[100],"index":[103],"(w.r.t.":[106],"third":[112],"variable)":[113],"which":[114],"zero":[116],"when":[117],"two":[118],"independent":[119],"sources":[120],"additively":[121],"influence":[122],"common":[124],"target;":[125],"thus,":[126],"this":[127],"differs":[129],"from":[130],"previous":[131],"definitions":[132],"synergy.":[134]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
