{"id":"https://openalex.org/W3135939867","doi":"https://doi.org/10.3390/e23050533","title":"Directed Data-Processing Inequalities for Systems with Feedback","display_name":"Directed Data-Processing Inequalities for Systems with Feedback","publication_year":2021,"publication_date":"2021-04-26","ids":{"openalex":"https://openalex.org/W3135939867","doi":"https://doi.org/10.3390/e23050533","mag":"3135939867","pmid":"https://pubmed.ncbi.nlm.nih.gov/33925905"},"language":"en","primary_location":{"id":"doi:10.3390/e23050533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050533","pdf_url":"https://www.mdpi.com/1099-4300/23/5/533/pdf?version=1619533105","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/5/533/pdf?version=1619533105","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Milan S. Derpich","orcid":"https://orcid.org/0000-0002-7824-9354"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Milan S. Derpich","raw_affiliation_strings":["Department of Electronic Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Av. Espa\u00f1a 1680, Valpara\u00edso 2390123, Chile"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Av. Espa\u00f1a 1680, Valpara\u00edso 2390123, Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jan \u00d8stergaard","orcid":"https://orcid.org/0000-0002-3724-6114"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jan \u00d8stergaard","raw_affiliation_strings":["Department of Electronic Systems, Aalborg University, 9220 Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems, Aalborg University, 9220 Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I75778554"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5079,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.63123239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"5","first_page":"533","last_page":"533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.3982999920845032,"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":0.3982999920845032,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.3253999948501587,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13553","display_name":"Age of Information Optimization","score":0.07029999792575836,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mutual-information","display_name":"Mutual information","score":0.795199990272522},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.7671999931335449},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5519000291824341},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.5199999809265137},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5192000269889832},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5099999904632568},{"id":"https://openalex.org/keywords/communication-source","display_name":"Communication source","score":0.4767000079154968},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.4643000066280365},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4618000090122223},{"id":"https://openalex.org/keywords/conditional-mutual-information","display_name":"Conditional mutual information","score":0.4440000057220459}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.795199990272522},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.7671999931335449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.592199981212616},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5519000291824341},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.5199999809265137},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5192000269889832},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5099999904632568},{"id":"https://openalex.org/C198104137","wikidata":"https://www.wikidata.org/wiki/Q974688","display_name":"Communication source","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.4643000066280365},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C124805900","wikidata":"https://www.wikidata.org/wiki/Q5159269","display_name":"Conditional mutual information","level":3,"score":0.4440000057220459},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.43790000677108765},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.43529999256134033},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.42980000376701355},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3903999924659729},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.38839998841285706},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.38659998774528503},{"id":"https://openalex.org/C2983568541","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Information transmission","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33500000834465027},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.3222000002861023},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C101722063","wikidata":"https://www.wikidata.org/wiki/Q218825","display_name":"Random access","level":2,"score":0.2922999858856201},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2816999852657318},{"id":"https://openalex.org/C2778095710","wikidata":"https://www.wikidata.org/wiki/Q6031225","display_name":"Information source (mathematics)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C320580","wikidata":"https://www.wikidata.org/wiki/Q5380810","display_name":"Entropy power inequality","level":5,"score":0.27300000190734863},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C47191418","wikidata":"https://www.wikidata.org/wiki/Q3510462","display_name":"Information-theoretic security","level":3,"score":0.2578999996185303},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2554999887943268},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25540000200271606},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e23050533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050533","pdf_url":"https://www.mdpi.com/1099-4300/23/5/533/pdf?version=1619533105","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":"pmid:33925905","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33925905","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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pure.atira.dk:openaire/fd5fd313-0410-4d3d-8371-f334150b476a","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/fd5fd313-0410-4d3d-8371-f334150b476a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Derpich, M & \u00d8stergaard, J 2021, 'Directed Data-Processing Inequalities for Systems with Feedback', Entropy, vol. 23, no. 5, 533. https://doi.org/10.3390/e23050533","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2103.13591","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.13591","pdf_url":"https://arxiv.org/pdf/2103.13591","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:4b165b94721d4edcba6790e78c50d071","is_oa":true,"landing_page_url":"https://doaj.org/article/4b165b94721d4edcba6790e78c50d071","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 23, Iss 5, p 533 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/5/533/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23050533","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 23; Issue 5; Pages: 533","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8146260","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8146260","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23050533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23050533","pdf_url":"https://www.mdpi.com/1099-4300/23/5/533/pdf?version=1619533105","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":[{"id":"https://openalex.org/G6147097680","display_name":null,"funder_award_id":"FB0008","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G700213943","display_name":null,"funder_award_id":"FB0008","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135939867.pdf","grobid_xml":"https://content.openalex.org/works/W3135939867.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1515040589","https://openalex.org/W1759288767","https://openalex.org/W1993791789","https://openalex.org/W2018640312","https://openalex.org/W2024886389","https://openalex.org/W2075356232","https://openalex.org/W2083048215","https://openalex.org/W2105307924","https://openalex.org/W2116460121","https://openalex.org/W2142804613","https://openalex.org/W2150470911","https://openalex.org/W2156541978","https://openalex.org/W2156939381","https://openalex.org/W2159535726","https://openalex.org/W2160682100","https://openalex.org/W2165130573","https://openalex.org/W2167931966","https://openalex.org/W2168614460","https://openalex.org/W2171305154","https://openalex.org/W2196937749","https://openalex.org/W2591072568","https://openalex.org/W2613450114","https://openalex.org/W2620993399","https://openalex.org/W2891151667","https://openalex.org/W2940690843","https://openalex.org/W2962948942","https://openalex.org/W2963350862","https://openalex.org/W3043322283","https://openalex.org/W3084144641","https://openalex.org/W3089356532","https://openalex.org/W3097621569","https://openalex.org/W3112454626","https://openalex.org/W4205710519","https://openalex.org/W4230328344","https://openalex.org/W4239557840","https://openalex.org/W6629237864","https://openalex.org/W6681130209","https://openalex.org/W6682997457"],"related_works":[],"abstract_inverted_index":{"We":[0,233],"present":[1,271],"novel":[2],"data-processing":[3,104,236],"inequalities":[4,105,237,301],"relating":[5],"the":[6,10,68,107,111,121,131,144,149,155,163,166,175,179,182,193,198,223,241,246,258,261,266,285,296],"mutual":[7,80,176],"information":[8,12,83,94,177,226,263],"and":[9,37,40,81,84,129,168,181,213],"directed":[11,82,225,262],"in":[13,142,152,274,303],"systems":[14,23],"with":[15,162],"feedback.":[16],"The":[17],"internal":[18,147],"deterministic":[19],"blocks":[20,55],"within":[21,120],"such":[22,216],"are":[24,32,146],"restricted":[25],"only":[26,214],"to":[27,34,148,186,230,238],"be":[28,35,72,86,187],"causal":[29],"mappings,":[30],"but":[31],"allowed":[33],"non-linear":[36],"time":[38],"varying,":[39],"randomized":[41,54],"by":[42,257,290],"their":[43],"own":[44],"external":[45],"random":[46,117],"input,":[47],"can":[48,56,71,85],"yield":[49],"any":[50],"stochastic":[51],"mapping.":[52],"These":[53],"for":[57,138,203],"example":[58,273],"represent":[59],"source":[60],"encoders,":[61],"decoders,":[62],"or":[63],"even":[64],"communication":[65,267],"channels.":[66],"Moreover,":[67,269],"involved":[69],"signals":[70],"arbitrarily":[73],"distributed.":[74],"Our":[75,96,124],"first":[76],"main":[77,98,126],"result":[78,99,127],"relates":[79],"interpreted":[87],"as":[88,190],"a":[89,101,205],"law":[90],"of":[91,93,103,110,116,133,158,165,169,201,243,260,287,298],"conservation":[92],"flow.":[95],"second":[97],"is":[100,197,254,279],"pair":[102],"(one":[106],"conditional":[108],"version":[109],"other)":[112],"between":[113,178],"nested":[114],"pairs":[115],"sequences":[118],"entirely":[119],"closed":[122],"loop.":[123,150],"third":[125],"introduces":[128],"characterizes":[130],"notion":[132,200],"in-the-loop":[134],"(ITL)":[135],"transmission":[136,159,195,252],"rate":[137,160,196,202,219,227,264],"channel":[139,170,206,248],"coding":[140,249],"scenarios":[141],"which":[143,204,275],"messages":[145,167,180,229],"Interestingly,":[151],"this":[153,276],"case":[154],"conventional":[156],"notions":[157],"associated":[161],"entropy":[164],"capacity":[171],"based":[172],"on":[173],"maximizing":[174],"output":[183],"turn":[184],"out":[185],"inadequate.":[188],"Instead,":[189],"we":[191,270,282],"show,":[192],"ITL":[194,218,251],"unique":[199],"code":[207],"attains":[208],"zero":[209],"error":[210],"probability":[211],"if":[212,215],"an":[217,272],"does":[220],"not":[221],"exceed":[222],"corresponding":[224],"from":[228],"decoded":[231],"messages.":[232],"apply":[234],"our":[235,288],"show":[239],"that":[240],"supremum":[242,259],"achievable":[244],"(in":[245],"usual":[247],"sense)":[250],"rates":[253],"upper":[255,277],"bounded":[256],"across":[265],"channel.":[268],"bound":[278],"attained.":[280],"Finally,":[281],"further":[283],"illustrate":[284],"applicability":[286],"results":[289],"discussing":[291],"how":[292],"they":[293],"make":[294],"possible":[295],"generalization":[297],"two":[299],"fundamental":[300],"known":[302],"networked":[304],"control":[305],"literature.":[306]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2021-03-29T00:00:00"}
