{"id":"https://openalex.org/W4386075159","doi":"https://doi.org/10.1109/isit54713.2023.10206466","title":"Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations","display_name":"Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386075159","doi":"https://doi.org/10.1109/isit54713.2023.10206466"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/202095","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052329970","display_name":"Yanina Y. Shkel","orcid":"https://orcid.org/0000-0002-2575-1762"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Yanina Y. Shkel","raw_affiliation_strings":["École Polytechnique Fédérale de Lausanne (EPFL),School of Computer & Communication Sciences,Switzerland"],"affiliations":[{"raw_affiliation_string":"École Polytechnique Fédérale de Lausanne (EPFL),School of Computer & Communication Sciences,Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076720893","display_name":"Anuj Kumar Yadav","orcid":"https://orcid.org/0000-0001-7763-3787"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Anuj Kumar Yadav","raw_affiliation_strings":["École Polytechnique Fédérale de Lausanne (EPFL),School of Computer & Communication Sciences,Switzerland"],"affiliations":[{"raw_affiliation_string":"École Polytechnique Fédérale de Lausanne (EPFL),School of Computer & Communication Sciences,Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052329970"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.071,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76904071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"66","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9890999794006348,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.8518187999725342},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.8438799381256104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6577820777893066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6258412599563599},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5211731791496277},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5063384771347046},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.44114676117897034},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3975658416748047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17834323644638062},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09954538941383362},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09295684099197388},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08428394794464111}],"concepts":[{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.8518187999725342},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8438799381256104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6577820777893066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6258412599563599},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5211731791496277},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5063384771347046},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.44114676117897034},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3975658416748047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17834323644638062},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09954538941383362},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09295684099197388},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08428394794464111}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit54713.2023.10206466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:306431","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/202095","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 paper"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:306431","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/202095","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 paper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W656501022","https://openalex.org/W745867715","https://openalex.org/W1511255594","https://openalex.org/W1918916807","https://openalex.org/W1995875735","https://openalex.org/W2006309149","https://openalex.org/W2086324413","https://openalex.org/W2112883966","https://openalex.org/W2158264130","https://openalex.org/W2160148685","https://openalex.org/W2165053755","https://openalex.org/W2265680000","https://openalex.org/W2962921917","https://openalex.org/W2963016035","https://openalex.org/W2963484654","https://openalex.org/W2963705438","https://openalex.org/W2964029778","https://openalex.org/W3035001865","https://openalex.org/W3107978990","https://openalex.org/W3108844855","https://openalex.org/W3127536994","https://openalex.org/W4214872586","https://openalex.org/W4289655356","https://openalex.org/W4300840296","https://openalex.org/W4321854339","https://openalex.org/W4386075159","https://openalex.org/W6842073646","https://openalex.org/W6850471101"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W2359260952","https://openalex.org/W4297790016","https://openalex.org/W2937751571","https://openalex.org/W2096779545","https://openalex.org/W3098462934"],"abstract_inverted_index":{"Given":[0],"two":[1],"jointly":[2],"distributed":[3],"random":[4,16],"variables":[5],"$\\left(":[6],"{X,Y}":[7],"\\right)$,":[8],"a":[9,15,23,44,59,65,78,100],"functional":[10,47,159],"representation":[11,48],"of":[12,20,42,57,67,136],"$X$":[13],"is":[14,49,75],"variable":[17],"$Z$":[18],"independent":[19],"$Y$,":[21],"and":[22,105,149,158],"deterministic":[24],"function":[25],"$g\\left(":[26],"{":[27],"\\cdot":[28,30],",":[29],"}":[31],"\\right)$":[32,86],"such":[33],"that":[34],"$X":[35],"=":[36],"g\\left(":[37],"{Y,Z}":[38],"\\right)$.":[39,96],"The":[40,119],"problem":[41,56],"finding":[43,58],"minimum":[45,60,114,155],"entropy":[46,61,90,115,156],"known":[50,125],"to":[51,54,76,108],"be":[52],"equivalent":[53],"the":[55,73,88,134,140,146,150],"coupling":[62,79],"where,":[63],"given":[64],"collection":[66],"probability":[68],"distributions":[69],"${P_1},":[70],"\\ldots":[71,81,94],",{P_m}$,":[72],"goal":[74],"find":[77],"${X_1},":[80],",{X_m}\\left(":[82],"{{X_i}":[83],"\\sim":[84],"{P_i}}":[85],"with":[87],"smallest":[89],"${H_\\alpha":[91],"}\\left(":[92],"{{X_1},":[93],",{X_m}}":[95],"This":[97],"paper":[98],"presents":[99],"new":[101,120],"information":[102,147],"spectrum":[103,148],"converse,":[104],"applies":[106],"it":[107],"obtain":[109],"direct":[110],"lower":[111,126,130],"bounds":[112,131],"on":[113,123,133,154],"in":[116],"both":[117,144],"problems.":[118],"results":[121],"improve":[122],"all":[124],"bounds,":[127],"including":[128],"previous":[129],"based":[132],"concept":[135],"majorization.":[137],"In":[138],"particular,":[139],"presented":[141],"proofs":[142],"leverage":[143],"-":[145,152],"majorization":[151],"perspectives":[153],"couplings":[157],"representations.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2023-08-23T00:00:00"}