{"id":"https://openalex.org/W2913944191","doi":"https://doi.org/10.1109/isit.2019.8849658","title":"Subadditivity Beyond Trees and the Chi-Squared Mutual Information","display_name":"Subadditivity Beyond Trees and the Chi-Squared Mutual Information","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2913944191","doi":"https://doi.org/10.1109/isit.2019.8849658","mag":"2913944191"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.02431","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055776312","display_name":"Emmanuel Abb\u00e9","orcid":"https://orcid.org/0000-0002-1831-656X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Emmanuel Abbe","raw_affiliation_strings":["EPFL"],"affiliations":[{"raw_affiliation_string":"EPFL","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091031925","display_name":"Enric Boix-Adser\u00e0","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109586","display_name":"Moscow Institute of Thermal Technology","ror":"https://ror.org/021es5e59","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210109586"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Enric Boix Adser\u00e0","raw_affiliation_strings":["MIT"],"affiliations":[{"raw_affiliation_string":"MIT","institution_ids":["https://openalex.org/I4210109586"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055776312"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02918919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"697","last_page":"701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subadditivity","display_name":"Subadditivity","score":0.9308981895446777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5760433673858643},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5224725008010864},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5140827298164368},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4951860010623932},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47656965255737305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45469561219215393},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.45286625623703003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38004350662231445},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.21539261937141418},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07658442854881287}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.9308981895446777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760433673858643},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5224725008010864},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5140827298164368},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4951860010623932},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47656965255737305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45469561219215393},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45286625623703003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38004350662231445},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.21539261937141418},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07658442854881287},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/isit.2019.8849658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1902.02431","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.02431","pdf_url":"https://arxiv.org/pdf/1902.02431","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":"","raw_type":"text"},{"id":"mag:2913944191","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.02431","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:271646","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/271646","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"},{"id":"doi:10.48550/arxiv.1902.02431","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.02431","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.02431","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.02431","pdf_url":"https://arxiv.org/pdf/1902.02431","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1619721866","https://openalex.org/W1977155350","https://openalex.org/W1996199671","https://openalex.org/W2116061856","https://openalex.org/W2290247654","https://openalex.org/W2568238137","https://openalex.org/W2731888938","https://openalex.org/W2806471717","https://openalex.org/W2807986714","https://openalex.org/W2963383801","https://openalex.org/W2964292545","https://openalex.org/W2976915648","https://openalex.org/W3127518054","https://openalex.org/W6636424863","https://openalex.org/W6639623841","https://openalex.org/W6677157430","https://openalex.org/W6740749169","https://openalex.org/W6752205914","https://openalex.org/W6752293647"],"related_works":["https://openalex.org/W2976915648","https://openalex.org/W2807986714","https://openalex.org/W2948740348","https://openalex.org/W2548129158","https://openalex.org/W2999754701","https://openalex.org/W2993694032","https://openalex.org/W3019950912","https://openalex.org/W3023432115","https://openalex.org/W2976533594","https://openalex.org/W2294293432","https://openalex.org/W1830482216","https://openalex.org/W3044867833","https://openalex.org/W3037687552","https://openalex.org/W3005854066","https://openalex.org/W3107996791","https://openalex.org/W2016648670","https://openalex.org/W1909442347","https://openalex.org/W1441233060","https://openalex.org/W3162038848"],"abstract_inverted_index":{"Evans":[0],"et":[1],"al.":[2],"[1]":[3],"proved":[4],"the":[5,8,12,27,58,78,84,100],"subadditivity":[6,32],"of":[7,29,91,99],"mutual":[9,80,102],"information":[10,81,87,103],"in":[11,37],"broadcasting":[13],"on":[14],"tree":[15],"model":[16],"with":[17,65],"binary":[18,51],"vertex":[19,52],"labels":[20],"and":[21,50,64],"symmetric":[22],"edge":[23],"channels.":[24],"They":[25],"raised":[26],"question":[28],"whether":[30],"such":[31,44],"extends":[33],"to":[34,61,70],"loopy":[35],"graphs":[36,49],"some":[38,90],"appropriate":[39],"way.":[40],"We":[41],"propose":[42],"here":[43],"a":[45],"generalization":[46,59],"for":[47],"general":[48],"labels.":[53],"With":[54],"enough":[55],"channel":[56],"symmetry,":[57,67],"applies":[60,69],"arbitrary":[62],"graphs,":[63],"partial":[66],"it":[68],"series-parallel":[71],"graphs.":[72],"The":[73],"results":[74],"are":[75,104],"obtained":[76],"using":[77],"Chi-squared":[79,101],"rather":[82],"than":[83],"classical":[85],"KL-mutual":[86],"(for":[88],"which":[89],"our":[92],"bounds":[93],"do":[94],"not":[95],"hold).":[96],"Various":[97],"properties":[98],"discussed.":[105]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
