{"id":"https://openalex.org/W2296080583","doi":"https://doi.org/10.1109/isit.2016.7541364","title":"Information decomposition on structured space","display_name":"Information decomposition on structured space","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2296080583","doi":"https://doi.org/10.1109/isit.2016.7541364","mag":"2296080583"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.05533","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mahito Sugiyama","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115621","display_name":"Institut f\u00fcr Sozialforschung und Sozialwirtschaft","ror":"https://ror.org/024nzz449","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210115621"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mahito Sugiyama","raw_affiliation_strings":["ISIR, Osaka University, JST PRESTO, Japan"],"affiliations":[{"raw_affiliation_string":"ISIR, Osaka University, JST PRESTO, Japan","institution_ids":["https://openalex.org/I4210115621"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hiroyuki Nakahara","orcid":null},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyuki Nakahara","raw_affiliation_strings":["RIKEN Brain Science Institute, Japan"],"affiliations":[{"raw_affiliation_string":"RIKEN Brain Science Institute, Japan","institution_ids":["https://openalex.org/I2800939219"]}]},{"author_position":"last","author":{"id":null,"display_name":"Koji Tsuda","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Tsuda","raw_affiliation_strings":["Graduate School of Frontier Sciences, The University of Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Frontier Sciences, The University of Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210115621"],"apc_list":null,"apc_paid":null,"fwci":0.4444,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77884908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"575","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9635999798774719,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9635999798774719,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9564999938011169,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9291999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6642000079154968},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6029999852180481},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.5426999926567078},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5228000283241272},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.51910001039505},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.39089998602867126},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.38989999890327454},{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.38089999556541443}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6642000079154968},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6029999852180481},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5426999926567078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.541700005531311},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5228000283241272},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.51910001039505},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4392000138759613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4205000102519989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4203000068664551},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.39089998602867126},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.38989999890327454},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.38089999556541443},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2948000133037567},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2815000116825104},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.26579999923706055},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2619999945163727}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2016.7541364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1601.05533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.05533","pdf_url":"https://arxiv.org/pdf/1601.05533","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.05533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.05533","pdf_url":"https://arxiv.org/pdf/1601.05533","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1525647423","https://openalex.org/W1599014734","https://openalex.org/W1933178270","https://openalex.org/W2061744336","https://openalex.org/W2071225717","https://openalex.org/W2079578251","https://openalex.org/W2081988641","https://openalex.org/W2093397547","https://openalex.org/W2097230740","https://openalex.org/W2124756491","https://openalex.org/W2134783591","https://openalex.org/W2168919237","https://openalex.org/W3150565720","https://openalex.org/W4229633200","https://openalex.org/W4247612853","https://openalex.org/W6640571472"],"related_works":[],"abstract_inverted_index":{"We":[0],"build":[1],"information":[2,17,24],"geometry":[3,25],"for":[4],"a":[5],"partially":[6],"ordered":[7],"set":[8],"of":[9,16,36,43],"variables":[10],"and":[11,26,60],"define":[12],"the":[13],"orthogonal":[14],"decomposition":[15,32,42],"theoretic":[18],"quantities.":[19],"The":[20],"natural":[21],"connection":[22],"between":[23],"order":[27],"theory":[28],"leads":[29],"to":[30,51],"efficient":[31],"algorithms.":[33],"This":[34],"generalization":[35],"Amari's":[37],"seminal":[38],"work":[39],"on":[40,46],"hierarchical":[41],"probability":[44],"distributions":[45],"event":[47],"combinations":[48],"enables":[49],"us":[50],"analyze":[52],"high-order":[53],"statistical":[54],"interactions":[55],"arising":[56],"in":[57],"neuroscience,":[58],"biology,":[59],"machine":[61],"learning.":[62]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-21T06:30:42.041108","created_date":"2016-06-24T00:00:00"}