{"id":"https://openalex.org/W7117448549","doi":"https://doi.org/10.1109/tit.2025.3649256","title":"Poset-Markov Channels: Capacity via Group Symmetry","display_name":"Poset-Markov Channels: Capacity via Group Symmetry","publication_year":2025,"publication_date":"2025-12-29","ids":{"openalex":"https://openalex.org/W7117448549","doi":"https://doi.org/10.1109/tit.2025.3649256"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2025.3649256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3649256","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5121467878","display_name":"Eray Unsal Atay","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eray Unsal Atay","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6754-1651","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051537424","display_name":"Eitan Levin","orcid":"https://orcid.org/0009-0002-5789-4191"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eitan Levin","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0009-0002-5789-4191","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105003932","display_name":"Venkat Chandrasekaran","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkat Chandrasekaran","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001633086","display_name":"Victoria Kostina","orcid":"https://orcid.org/0000-0002-2406-7440"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victoria Kostina","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-2406-7440","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.60361038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"4","first_page":"2043","last_page":"2066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.3734000027179718,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.3734000027179718,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.3334999978542328,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.06120000034570694,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.699999988079071},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.6175000071525574},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4936000108718872},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.48660001158714294},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.486299991607666},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.43059998750686646},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.41749998927116394},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4043000042438507},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4027000069618225}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.699999988079071},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.6175000071525574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6000000238418579},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4936000108718872},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.48660001158714294},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.486299991607666},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.43059998750686646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4262000024318695},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4043000042438507},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.3763999938964844},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.34360000491142273},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32749998569488525},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.296099990606308},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29600000381469727},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.2581000030040741},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.257999986410141}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3649256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3649256","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3852299460","display_name":null,"funder_award_id":"CCF-1956386","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5777538138","display_name":null,"funder_award_id":"FA9550-23-1-0070","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8216122018","display_name":null,"funder_award_id":"FA9550-23-1-0204","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Computing":[0],"channel":[1,58,61,155],"capacity":[2,34,93,135],"is":[3,9,111,160,168],"in":[4,59,116,142],"general":[5],"intractable":[6],"because":[7],"it":[8],"given":[10],"by":[11,67,128],"the":[12,68,91,123,145,157,161,166],"limit":[13],"of":[14,17,30,42,55,70,94,97,144,174],"a":[15,26,39,56,71,78,86,95,104,130,170],"sequence":[16],"optimization":[18],"problems":[19],"whose":[20,100],"dimensionality":[21],"grows":[22],"to":[23,84,122,138],"infinity.":[24],"As":[25],"result,":[27],"constant-sized":[28],"characterizations":[29],"feedback":[31,92],"or":[32],"non-feedback":[33],"are":[35,65],"known":[36],"for":[37,133],"only":[38],"few":[40],"classes":[41],"channels":[43,99],"with":[44],"memory.":[45],"This":[46],"paper":[47],"introduces":[48],"<italic":[49],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">poset-causal":[51],"channels</i>\u2014a":[52],"new":[53,171],"formalism":[54],"communication":[57],"which":[60,165],"inputs":[62],"and":[63,107],"outputs":[64],"indexed":[66],"elements":[69],"partially":[72],"ordered":[73],"set":[74],"(poset).":[75],"We":[76,149],"develop":[77],"novel":[79],"methodology":[80,110],"that":[81],"allows":[82],"us":[83],"establish":[85,120],"single-letter":[87],"upper":[88,136],"bound":[89,137,167],"on":[90,113,125,153],"subclass":[96],"poset-causal":[98],"memory":[101],"structure":[102],"exhibits":[103],"Markov":[105],"property":[106],"symmetry.":[108],"The":[109],"based":[112],"symmetry":[114],"reduction":[115],"optimization.":[117],"Additionally,":[118],"we":[119],"connections":[121],"literature":[124],"graphical":[126],"models":[127],"providing":[129],"sufficient":[131],"condition":[132],"our":[134,151],"be":[139],"tight,":[140],"expressed":[141],"terms":[143],"running":[146],"intersection":[147],"property.":[148],"instantiate":[150],"method":[152],"two":[154],"models:":[156],"Noisy":[158],"Output":[159],"STate":[162],"(NOST)":[163],"channel\u2014for":[164],"tight\u2014and":[169],"two-dimensional":[172],"extension":[173],"it.":[175]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-12-29T00:00:00"}