{"id":"https://openalex.org/W2588151410","doi":"https://doi.org/10.3390/e19020071","title":"Synergy and Redundancy in Dual Decompositions of Mutual Information Gain and Information Loss","display_name":"Synergy and Redundancy in Dual Decompositions of Mutual Information Gain and Information Loss","publication_year":2017,"publication_date":"2017-02-16","ids":{"openalex":"https://openalex.org/W2588151410","doi":"https://doi.org/10.3390/e19020071","mag":"2588151410"},"language":"en","primary_location":{"id":"doi:10.3390/e19020071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19020071","pdf_url":"https://www.mdpi.com/1099-4300/19/2/71/pdf?version=1487235136","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/2/71/pdf?version=1487235136","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018721964","display_name":"Daniel Chicharro","orcid":"https://orcid.org/0000-0002-4038-258X"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I4210127676","display_name":"Center for Neuroscience and Cognitive Systems","ror":"https://ror.org/045yf0774","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210127676"]}],"countries":["IT","US"],"is_corresponding":true,"raw_author_name":"Daniel Chicharro","raw_affiliation_strings":["Department of Neurobiology, Harvard Medical School, Boston, MA 02115, USA","Neural Computation Laboratory, Center for Neuroscience and Cognitive Systems@UniTn, Istituto Italiano di Tecnologia, Rovereto (TN) 38068, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurobiology, Harvard Medical School, Boston, MA 02115, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Neural Computation Laboratory, Center for Neuroscience and Cognitive Systems@UniTn, Istituto Italiano di Tecnologia, Rovereto (TN) 38068, Italy","institution_ids":["https://openalex.org/I4210127676","https://openalex.org/I30771326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014847103","display_name":"Stefano Panzeri","orcid":"https://orcid.org/0000-0003-1700-8909"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I4210127676","display_name":"Center for Neuroscience and Cognitive Systems","ror":"https://ror.org/045yf0774","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210127676"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Panzeri","raw_affiliation_strings":["Neural Computation Laboratory, Center for Neuroscience and Cognitive Systems@UniTn, Istituto Italiano di Tecnologia, Rovereto (TN) 38068, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1700-8909","affiliations":[{"raw_affiliation_string":"Neural Computation Laboratory, Center for Neuroscience and Cognitive Systems@UniTn, Istituto Italiano di Tecnologia, Rovereto (TN) 38068, Italy","institution_ids":["https://openalex.org/I4210127676","https://openalex.org/I30771326"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018721964"],"corresponding_institution_ids":["https://openalex.org/I136199984","https://openalex.org/I30771326","https://openalex.org/I4210127676"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.3366,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.92657652,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"2","first_page":"71","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9797999858856201,"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":0.9797999858856201,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9445000290870667,"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/T13283","display_name":"Mental Health Research Topics","score":0.9221000075340271,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.7480269074440002},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6626052260398865},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5274779200553894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49557197093963623},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.47891557216644287},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4672785997390747},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.45894303917884827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45786741375923157},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44078564643859863},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20605701208114624},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08892747759819031}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.7480269074440002},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6626052260398865},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5274779200553894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49557197093963623},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.47891557216644287},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4672785997390747},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.45894303917884827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45786741375923157},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44078564643859863},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20605701208114624},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08892747759819031},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e19020071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19020071","pdf_url":"https://www.mdpi.com/1099-4300/19/2/71/pdf?version=1487235136","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:openaccess.city.ac.uk:27169","is_oa":false,"landing_page_url":"https://openaccess.city.ac.uk/view/creators_id/daniel=2Echicharro.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401940","display_name":"City Research Online (City University London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I180825142","host_organization_name":"City, University of London","host_organization_lineage":["https://openalex.org/I180825142"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1612.09522","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.09522","pdf_url":"https://arxiv.org/pdf/1612.09522","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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:468bcb098a2a4712b922cfae6b418f80","is_oa":true,"landing_page_url":"https://doaj.org/article/468bcb098a2a4712b922cfae6b418f80","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 19, Iss 2, p 71 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/2/71/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19020071","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy; Volume 19; Issue 2; Pages: 71","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e19020071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19020071","pdf_url":"https://www.mdpi.com/1099-4300/19/2/71/pdf?version=1487235136","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311063","display_name":"Fondation Bertarelli","ror":"https://ror.org/04h7fev25"},{"id":"https://openalex.org/F4320326086","display_name":"Provincia Autonoma di Trento","ror":"https://ror.org/017e99q89"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2588151410.pdf","grobid_xml":"https://content.openalex.org/works/W2588151410.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W110813552","https://openalex.org/W563793012","https://openalex.org/W1486084564","https://openalex.org/W1599014734","https://openalex.org/W1866114900","https://openalex.org/W1890016494","https://openalex.org/W1899852503","https://openalex.org/W1932088538","https://openalex.org/W1933178270","https://openalex.org/W1969469858","https://openalex.org/W1972637876","https://openalex.org/W1977843694","https://openalex.org/W1987864047","https://openalex.org/W1998050452","https://openalex.org/W2024057644","https://openalex.org/W2024616265","https://openalex.org/W2025670747","https://openalex.org/W2027665171","https://openalex.org/W2031188761","https://openalex.org/W2036681456","https://openalex.org/W2037667080","https://openalex.org/W2038276856","https://openalex.org/W2050334647","https://openalex.org/W2055476548","https://openalex.org/W2060841334","https://openalex.org/W2062752449","https://openalex.org/W2081282422","https://openalex.org/W2081988641","https://openalex.org/W2084585676","https://openalex.org/W2097230740","https://openalex.org/W2099111195","https://openalex.org/W2100850281","https://openalex.org/W2102456970","https://openalex.org/W2116811583","https://openalex.org/W2139708568","https://openalex.org/W2141771360","https://openalex.org/W2144074450","https://openalex.org/W2147933447","https://openalex.org/W2151910747","https://openalex.org/W2152587044","https://openalex.org/W2154168931","https://openalex.org/W2156443355","https://openalex.org/W2159222783","https://openalex.org/W2165559465","https://openalex.org/W2190581008","https://openalex.org/W2191934819","https://openalex.org/W2244607982","https://openalex.org/W2278576239","https://openalex.org/W2286271878","https://openalex.org/W2400942168","https://openalex.org/W2478708596","https://openalex.org/W2518518020","https://openalex.org/W2587049423","https://openalex.org/W2887002214","https://openalex.org/W3099550299","https://openalex.org/W3099837250","https://openalex.org/W3100917360","https://openalex.org/W3101191730","https://openalex.org/W3101379241","https://openalex.org/W3105841952","https://openalex.org/W4293776717","https://openalex.org/W4298201210","https://openalex.org/W4300972832","https://openalex.org/W6604542330"],"related_works":["https://openalex.org/W1527023294","https://openalex.org/W4387164954","https://openalex.org/W2056895937","https://openalex.org/W3124771927","https://openalex.org/W2920676536","https://openalex.org/W4225940264","https://openalex.org/W2750125254","https://openalex.org/W2057609120","https://openalex.org/W2889544313","https://openalex.org/W2111510771"],"abstract_inverted_index":{"Williams":[0],"and":[1,44,69,80,99,145,150,159,175,194,198],"Beer":[2],"(2010)":[3],"proposed":[4],"a":[5,24,112,182,188],"nonnegative":[6],"mutual":[7],"information":[8,15,22,38,88,121,139,173,176],"decomposition,":[9,185],"based":[10],"on":[11,55],"the":[12,21,36,56,60,64,71,105,117,143,192],"construction":[13],"of":[14,26,39,66,126,137,148,191,196],"gain":[16,89,122,157,174],"lattices,":[17,75,90,109,138,141,158],"which":[18,160,186],"allows":[19,187],"separating":[20],"that":[23,58],"set":[25],"variables":[27],"contains":[28],"about":[29],"another":[30],"variable":[31],"into":[32],"components,":[33],"interpretable":[34],"as":[35],"unique":[37,98,129,184],"one":[40],"variable,":[41],"or":[42,128],"redundant":[43],"synergy":[45,100,127,151,197],"components.":[46],"In":[47],"this":[48,52],"work,":[49],"we":[50,110],"extend":[51],"framework":[53],"focusing":[54],"lattices":[57,68,179],"underpin":[59],"decomposition.":[61],"We":[62,83,131,169],"generalize":[63],"type":[65,136],"constructible":[67],"examine":[70],"relations":[72],"between":[73,107],"different":[74,108],"for":[76],"example,":[77],"relating":[78],"bivariate":[79],"trivariate":[81],"decompositions.":[82,168],"point":[84],"out":[85],"that,":[86],"in":[87,116],"redundancy":[91,149],"components":[92,101,152],"are":[93,102],"invariant":[94],"across":[95],"decompositions,":[96],"but":[97],"decomposition-dependent.":[103],"Exploiting":[104],"connection":[106],"propose":[111],"procedure":[113,164],"to":[114,156,165,181],"construct,":[115],"general":[118],"multivariate":[119,167],"case,":[120],"decompositions":[123],"from":[124],"measures":[125],"information.":[130],"then":[132],"introduce":[133],"an":[134,162],"alternative":[135,163],"loss":[140,177],"with":[142,154],"role":[144],"invariance":[146],"properties":[147],"reversed":[153],"respect":[155],"provide":[161],"build":[166],"finally":[170],"show":[171],"how":[172],"dual":[178],"lead":[180],"self-consistent":[183],"deeper":[189],"understanding":[190],"origin":[193],"meaning":[195],"redundancy.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":8}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2017-02-24T00:00:00"}
