{"id":"https://openalex.org/W3215209533","doi":"https://doi.org/10.1109/itw48936.2021.9611489","title":"The Undecidability of Conditional Affine Information Inequalities and Conditional Independence Implication with a Binary Constraint","display_name":"The Undecidability of Conditional Affine Information Inequalities and Conditional Independence Implication with a Binary Constraint","publication_year":2021,"publication_date":"2021-10-17","ids":{"openalex":"https://openalex.org/W3215209533","doi":"https://doi.org/10.1109/itw48936.2021.9611489","mag":"3215209533"},"language":"en","primary_location":{"id":"doi:10.1109/itw48936.2021.9611489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084702636","display_name":"Cheuk Ting Li","orcid":"https://orcid.org/0000-0002-4803-212X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cheuk Ting Li","raw_affiliation_strings":["Department of Information Engineering, The Chinese University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084702636"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.5631,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.65010137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9876000285148621,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9876000285148621,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9829000234603882,"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/T10532","display_name":"Molecular Sensors and Ion Detection","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conditional-independence","display_name":"Conditional independence","score":0.7118449807167053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6764856576919556},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5633861422538757},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5077813267707825},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5059160590171814},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.48577645421028137},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48232099413871765},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46335911750793457},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40701067447662354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2619072198867798},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08527645468711853},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08342808485031128}],"concepts":[{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.7118449807167053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6764856576919556},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5633861422538757},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5077813267707825},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5059160590171814},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.48577645421028137},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48232099413871765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46335911750793457},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40701067447662354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2619072198867798},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08527645468711853},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08342808485031128},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw48936.2021.9611489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7900000214576721,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W30853191","https://openalex.org/W1672833098","https://openalex.org/W1982939827","https://openalex.org/W1986667059","https://openalex.org/W1996319465","https://openalex.org/W2016146424","https://openalex.org/W2020148596","https://openalex.org/W2025267868","https://openalex.org/W2026482663","https://openalex.org/W2038254774","https://openalex.org/W2046953414","https://openalex.org/W2052013527","https://openalex.org/W2052977643","https://openalex.org/W2057878779","https://openalex.org/W2058764227","https://openalex.org/W2076645411","https://openalex.org/W2090932849","https://openalex.org/W2095127695","https://openalex.org/W2113940092","https://openalex.org/W2114325434","https://openalex.org/W2127875443","https://openalex.org/W2131553237","https://openalex.org/W2140678653","https://openalex.org/W2143203964","https://openalex.org/W2147681281","https://openalex.org/W2313526252","https://openalex.org/W2502673344","https://openalex.org/W2534910824","https://openalex.org/W2563772499","https://openalex.org/W2617213571","https://openalex.org/W2736436518","https://openalex.org/W2773609685","https://openalex.org/W2913486868","https://openalex.org/W2951971667","https://openalex.org/W2995575014","https://openalex.org/W3005018719","https://openalex.org/W3013015669","https://openalex.org/W3016710723","https://openalex.org/W3018062387","https://openalex.org/W3099150851","https://openalex.org/W3195059766","https://openalex.org/W3197645223","https://openalex.org/W3215209533","https://openalex.org/W4211149873","https://openalex.org/W4253951539","https://openalex.org/W4295058572","https://openalex.org/W6631634135","https://openalex.org/W6636908886","https://openalex.org/W6664676108","https://openalex.org/W6681919765","https://openalex.org/W6724810792","https://openalex.org/W6728444718","https://openalex.org/W6776190159"],"related_works":["https://openalex.org/W3125750421","https://openalex.org/W68147753","https://openalex.org/W2042697870","https://openalex.org/W3112089722","https://openalex.org/W1662534456","https://openalex.org/W3022655582","https://openalex.org/W3196265349","https://openalex.org/W2104029044","https://openalex.org/W3144981492","https://openalex.org/W1840182762"],"abstract_inverted_index":{"We":[0],"establish":[1],"the":[2,9,12,27,30,35,38,53,56,70,77],"undecidability":[3,10,28,57,63],"of":[4,11,29,32,37,58,76,82],"conditional":[5,13,59],"affine":[6,44],"information":[7],"inequalities,":[8],"independence":[14,60],"implication":[15],"problem":[16,31,73],"with":[17],"a":[18,42,50,67],"constraint":[19],"that":[20],"one":[21],"random":[22],"variable":[23],"is":[24,46,49,64,85],"binary,":[25],"and":[26,41],"deciding":[33],"whether":[34],"intersection":[36],"entropic":[39],"region":[40],"given":[43],"subspace":[45],"empty.":[47],"This":[48],"step":[51],"towards":[52],"conjecture":[54],"on":[55],"implication.":[61],"The":[62],"proved":[65],"via":[66],"reduction":[68],"from":[69],"periodic":[71],"tiling":[72],"(a":[74],"variant":[75],"domino":[78],"problem).A":[79],"full":[80],"version":[81],"this":[83],"paper":[84],"accessible":[86],"at:":[87],"https://arxiv.org/pdf/2104.05634.pdf":[88]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}