{"id":"https://openalex.org/W4394847360","doi":"https://doi.org/10.3390/e26040338","title":"Side Information Design in Zero-Error Coding for Computing","display_name":"Side Information Design in Zero-Error Coding for Computing","publication_year":2024,"publication_date":"2024-04-16","ids":{"openalex":"https://openalex.org/W4394847360","doi":"https://doi.org/10.3390/e26040338","pmid":"https://pubmed.ncbi.nlm.nih.gov/38667892","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/11049120"},"language":"en","primary_location":{"id":"doi:10.3390/e26040338","doi":"https://doi.org/10.3390/e26040338","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26040338","pdf_url":"https://www.mdpi.com/1099-4300/26/4/338/pdf?version=1713247859","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/4/338/pdf?version=1713247859","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081727884","display_name":"Nicolas Charpenay","orcid":"https://orcid.org/0000-0002-3873-8161","observed_orcids":["https://orcid.org/0000-0002-3873-8161"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Charpenay","raw_affiliation_strings":["Univ. Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033353258","display_name":"Ma\u00ebl Le Treust","orcid":"https://orcid.org/0000-0002-6806-8592","observed_orcids":["https://orcid.org/0000-0002-6806-8592"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ma\u00ebl Le Treust","raw_affiliation_strings":["Univ. Rennes, CNRS, Inria, IRISA UMR 6074, F-35000 Rennes, France"],"raw_orcid":"https://orcid.org/0000-0002-6806-8592","affiliations":[{"raw_affiliation_string":"Univ. Rennes, CNRS, Inria, IRISA UMR 6074, F-35000 Rennes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2802519937","https://openalex.org/I56067802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004726647","display_name":"Aline Roumy","orcid":"https://orcid.org/0000-0002-6352-8166","observed_orcids":["https://orcid.org/0000-0002-6352-8166"]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210133778","display_name":"Centre Inria de l'Universit\u00e9 de Rennes","ror":"https://ror.org/04040yw90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Aline Roumy","raw_affiliation_strings":["INRIA Rennes, Campus de Beaulieu, F-35000 Rennes cedex, France"],"raw_orcid":"https://orcid.org/0000-0002-6352-8166","affiliations":[{"raw_affiliation_string":"INRIA Rennes, Campus de Beaulieu, F-35000 Rennes cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5033353258","https://openalex.org/A5081727884"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2802519937","https://openalex.org/I4210161663","https://openalex.org/I56067802"],"apc_list":{"value":2600,"currency":"CHF","value_usd":2955},"apc_paid":{"value":2600,"currency":"CHF","value_usd":2955},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"4","first_page":"338","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.396699994802475,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.396699994802475,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.23010000586509705,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.11980000138282776,"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/deterministic-functions","display_name":"deterministic functions","score":0.4449999928474426},{"id":"https://openalex.org/keywords/optimal-rates","display_name":"optimal rates","score":0.7870000004768372},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"greedy algorithm","score":0.8220000267028809},{"id":"https://openalex.org/keywords/coarsening","display_name":"coarsening","score":0.7889999747276306}],"concepts":[{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.8362259864807129},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.6007360816001892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5989325046539307},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5936087965965271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5575242042541504},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5460609793663025},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5328125953674316},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42884576320648193},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3750108480453491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.334018349647522},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33145570755004883},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2621387839317322},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10153421759605408},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e26040338","doi":"https://doi.org/10.3390/e26040338","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26040338","pdf_url":"https://www.mdpi.com/1099-4300/26/4/338/pdf?version=1713247859","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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:pubmedcentral.nih.gov:11049120","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11049120","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11049120/pdf/entropy-26-00338.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmid:38667892","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38667892","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,"listed_in":[],"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":"Journal Article"},{"id":"pmh:oai:HAL:hal-04679240v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04679240","pdf_url":"https://hal.science/hal-04679240/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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, 2024, 26 (4), pp.1-18. &#x27E8;10.3390/e26040338&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:892018d5ae284f87bfa17a9f1ca92487","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/892018d5ae284f87bfa17a9f1ca92487","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,"listed_in":[],"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 26, Iss 4, p 338 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26040338","doi":"https://doi.org/10.3390/e26040338","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e26040338","pdf_url":"https://www.mdpi.com/1099-4300/26/4/338/pdf?version=1713247859","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2014946915","display_name":null,"funder_award_id":"ANR\u201010\u2010LABX\u201007\u201001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3343749973","display_name":null,"funder_award_id":"-10-LABX-07-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7240651115","display_name":null,"funder_award_id":"ANR-10","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394847360.pdf","grobid_xml":"https://content.openalex.org/works/W4394847360.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1499576928","https://openalex.org/W1545658340","https://openalex.org/W1977529491","https://openalex.org/W2026641099","https://openalex.org/W2026664821","https://openalex.org/W2071801393","https://openalex.org/W2119336214","https://openalex.org/W2132561826","https://openalex.org/W2163481934","https://openalex.org/W2523918754","https://openalex.org/W2962789451","https://openalex.org/W3046927632","https://openalex.org/W3080401937","https://openalex.org/W3082548248","https://openalex.org/W3164402689","https://openalex.org/W4302366875","https://openalex.org/W4382365125","https://openalex.org/W6684142533"],"related_works":["https://openalex.org/W4312062690","https://openalex.org/W3184860347","https://openalex.org/W1715417177","https://openalex.org/W2146778221","https://openalex.org/W4382365125","https://openalex.org/W1612502822","https://openalex.org/W1974902810","https://openalex.org/W2076675021","https://openalex.org/W2147544396","https://openalex.org/W1998123204"],"abstract_inverted_index":{"We":[0,117],"investigate":[1],"the":[2,70,78,94,103,107,110,130],"zero-error":[3],"coding":[4],"for":[5,69],"computing":[6],"problems":[7],"with":[8,23,29,42],"encoder":[9,13],"side":[10,24,34,95,112,131],"information.":[11],"An":[12],"provides":[14],"access":[15],"to":[16,39,53],"a":[17,30,62],"source":[18],"X":[19],"and":[20,37,49,92,115,139],"is":[21,82],"furnished":[22],"information":[25,35,96,113,132],"g(Y).":[26],"It":[27],"communicates":[28],"decoder":[31],"that":[32,64,122],"possesses":[33],"Y":[36],"aims":[38],"retrieve":[40],"f(X,Y)":[41],"zero":[43],"probability":[44],"of":[45,101,109,127,142],"error,":[46],"where":[47,80],"f":[48],"g":[50],"are":[51],"assumed":[52],"be":[54],"deterministic":[55],"functions.":[56],"In":[57,85],"previous":[58],"work,":[59],"we":[60,88],"determined":[61],"condition":[63],"yields":[65],"an":[66,124],"analytic":[67],"expression":[68],"optimal":[71],"rate":[72],"R*(g);":[73],"in":[74,129,145],"particular,":[75],"it":[76],"covers":[77],"case":[79],"PX,Y":[81],"full":[83],"support.":[84],"this":[86,90],"article,":[87],"review":[89],"result":[91],"study":[93],"design":[97,133],"problem,":[98,134],"which":[99],"consists":[100],"finding":[102],"best":[104],"trade-offs":[105],"between":[106],"quality":[108],"encoder\u2019s":[111],"g(Y)":[114],"R*(g).":[116],"construct":[118],"two":[119],"greedy":[120],"algorithms":[121],"give":[123],"achievable":[125],"set":[126],"points":[128],"based":[135],"on":[136],"partition":[137],"refining":[138],"coarsening.":[140],"One":[141],"them":[143],"runs":[144],"polynomial":[146],"time.":[147]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-04-17T00:00:00"}
