{"id":"https://openalex.org/W2040147870","doi":"https://doi.org/10.1109/tit.2013.2284771","title":"Analytical and Numerical Characterizations of Shannon Ordering for Discrete Memoryless Channels","display_name":"Analytical and Numerical Characterizations of Shannon Ordering for Discrete Memoryless Channels","publication_year":2013,"publication_date":"2013-10-07","ids":{"openalex":"https://openalex.org/W2040147870","doi":"https://doi.org/10.1109/tit.2013.2284771","mag":"2040147870"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2013.2284771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2284771","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1302.1484","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yuan Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuan Zhang","raw_affiliation_strings":["Arizona State University, School of Electrical, Computer, and Energy Engineering, Tempe, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Arizona State University, School of Electrical, Computer, and Energy Engineering, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cihan Tepedelenlioglu","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cihan Tepedelenlioglu","raw_affiliation_strings":["Arizona State University, School of Electrical, Computer, and Energy Engineering, Tempe, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Arizona State University, School of Electrical, Computer, and Energy Engineering, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10321193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"60","issue":"1","first_page":"72","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.7063000202178955,"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":0.7063000202178955,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.1177000030875206,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.06949999928474426,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6216999888420105},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.597000002861023},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5109000205993652},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48489999771118164},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45590001344680786},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42419999837875366},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.40799999237060547},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.3912999927997589}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6620000004768372},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6216999888420105},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.597000002861023},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5109000205993652},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48489999771118164},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45590001344680786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43369999527931213},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42419999837875366},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4104999899864197},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.40799999237060547},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3727000057697296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3707999885082245},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.27880001068115234},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.257999986410141},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2551000118255615},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2013.2284771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2284771","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"},{"id":"pmh:oai:arXiv.org:1302.1484","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.1484","pdf_url":"https://arxiv.org/pdf/1302.1484","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1302.1484","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.1484","pdf_url":"https://arxiv.org/pdf/1302.1484","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1978088352","https://openalex.org/W2023543099","https://openalex.org/W2050495532","https://openalex.org/W2058520912","https://openalex.org/W2096477590","https://openalex.org/W2106864314","https://openalex.org/W2117070365","https://openalex.org/W2127271355","https://openalex.org/W2140084608","https://openalex.org/W2145780070","https://openalex.org/W2153657838","https://openalex.org/W4206570602","https://openalex.org/W4249667877","https://openalex.org/W4302366875"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"several":[3],"problems":[4],"concerning":[5],"channel":[6,27,36,58,90],"inclusion,":[7],"which":[8],"is":[9,42,60,87,106],"a":[10,63],"partial":[11],"ordering":[12,41],"between":[13,29,93],"discrete":[14],"memoryless":[15],"channels":[16],"(DMCs)":[17],"proposed":[18],"by":[19],"Shannon.":[20],"Specifically,":[21],"majorization-based":[22],"conditions":[23],"are":[24],"derived":[25],"for":[26],"inclusion":[28,59,91],"certain":[30],"DMCs.":[31,95],"Furthermore,":[32],"under":[33],"general":[34],"conditions,":[35],"equivalence":[37],"defined":[38],"through":[39],"Shannon":[40],"shown":[43],"to":[44,74],"be":[45],"the":[46,68,71,75,78,84,97,111],"same":[47],"as":[48,62],"permutation":[49],"of":[50,57,70,77,83,99],"input":[51],"and":[52,67],"output":[53],"symbols.":[54],"The":[55],"determination":[56],"considered":[61],"convex":[64],"optimization":[65],"problem,":[66],"sparsity":[69],"weights":[72],"related":[73],"representation":[76],"worse":[79],"DMC":[80],"in":[81],"terms":[82],"better":[85],"one":[86],"revealed":[88],"when":[89],"holds":[92],"two":[94],"For":[96],"exploitation":[98],"this":[100],"sparsity,":[101],"an":[102],"effective":[103],"iterative":[104],"algorithm":[105],"established":[107],"based":[108],"on":[109],"modifying":[110],"orthogonal":[112],"matching":[113],"pursuit":[114],"algorithm.":[115]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
