{"id":"https://openalex.org/W3215256516","doi":"https://doi.org/10.1109/itw48936.2021.9611465","title":"Reliability-Based Decoding of Complex Low-Density Lattice Codes","display_name":"Reliability-Based Decoding of Complex Low-Density Lattice Codes","publication_year":2021,"publication_date":"2021-10-17","ids":{"openalex":"https://openalex.org/W3215256516","doi":"https://doi.org/10.1109/itw48936.2021.9611465","mag":"3215256516"},"language":"en","primary_location":{"id":"doi:10.1109/itw48936.2021.9611465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611465","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/A5022720542","display_name":"Warangrat Wiriya","orcid":"https://orcid.org/0000-0001-6594-4510"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Warangrat Wiriya","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology, Ishikawa, Japan"],"affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Ishikawa, Japan","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004778561","display_name":"Brian M. Kurkoski","orcid":"https://orcid.org/0000-0003-4328-8684"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Brian M. Kurkoski","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology, Ishikawa, Japan"],"affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Ishikawa, Japan","institution_ids":["https://openalex.org/I177738480"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022720542"],"corresponding_institution_ids":["https://openalex.org/I177738480"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20789222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994999766349792,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.652136504650116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.541078507900238},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5341875553131104},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.5230330228805542},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5071966648101807},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49161773920059204},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4785764515399933},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.46460527181625366},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4632478952407837},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4625093340873718},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4335689842700958},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38896703720092773},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32933926582336426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09086033701896667}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.652136504650116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.541078507900238},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5341875553131104},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.5230330228805542},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5071966648101807},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49161773920059204},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4785764515399933},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.46460527181625366},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4632478952407837},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4625093340873718},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4335689842700958},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38896703720092773},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32933926582336426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09086033701896667},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw48936.2021.9611465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611465","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1497819923","https://openalex.org/W1514025124","https://openalex.org/W2005196269","https://openalex.org/W2033178790","https://openalex.org/W2129983244","https://openalex.org/W2135517232","https://openalex.org/W2137813581","https://openalex.org/W2138577627","https://openalex.org/W2145487138","https://openalex.org/W2160973043","https://openalex.org/W2168838124","https://openalex.org/W2506896688","https://openalex.org/W2510498923","https://openalex.org/W2921563369","https://openalex.org/W2938495194","https://openalex.org/W3104529413","https://openalex.org/W6630572912"],"related_works":["https://openalex.org/W4307680413","https://openalex.org/W2963817320","https://openalex.org/W2493667298","https://openalex.org/W2101147641","https://openalex.org/W3080746295","https://openalex.org/W2511191118","https://openalex.org/W2356695932","https://openalex.org/W2521082822","https://openalex.org/W4312422976","https://openalex.org/W4317438041"],"abstract_inverted_index":{"This":[0,61,169],"paper":[1],"proposes":[2],"a":[3,16,45,104],"low-complexity":[4],"decoding":[5],"algorithm":[6,170],"for":[7,86],"complex":[8,22,53],"low-density":[9],"lattice":[10,151],"codes":[11],"(CLDLC).":[12],"The":[13,99,126],"key":[14],"is":[15,101,149,154,164],"method":[17],"to":[18,48,56,70,118,138,178],"approximate":[19],"an":[20,87,110],"infinite":[21],"Gaussian":[23,54],"mixture":[24],"that":[25],"occurs":[26],"at":[27,142],"the":[28,32,39,50,59,63,68,80,90,93,114,120,136,150,155,158,165],"variable":[29],"node":[30],"of":[31,41,52,65,83,92,131,157,167],"belief":[33],"propagation":[34],"(BP)":[35],"decoder.":[36],"We":[37],"define":[38],"reliability":[40,100,130],"check-to-variable":[42],"messages":[43],"and":[44,107,162,174],"threshold":[46,121],"function":[47,122],"determine":[49],"number":[51,64,82,166],"functions":[55],"use":[57],"in":[58,67],"approximation.":[60],"allows":[62],"Gaussians":[66,84],"approximation":[69,127,181],"be":[71,96],"adaptively":[72],"selected":[73],"depending":[74],"upon":[75],"its":[76],"reliability.":[77],"By":[78],"using":[79],"minimum":[81],"needed":[85],"accurate":[88],"approximation,":[89],"complexity":[91,137,176],"decoder":[94],"can":[95,134],"significantly":[97],"reduced.":[98],"based":[102,128],"on":[103,113,129],"likelihood":[105],"function,":[106],"we":[108],"form":[109],"upper":[111],"bound":[112],"Kullback-Leibler":[115],"(KL)":[116],"divergence":[117],"find":[119],"via":[123],"linear":[124],"regression.":[125],"each":[132],"message":[133],"reduce":[135],"$O(n\\cdot":[139],"t\\cdot":[140],"1.35^{d-1})$":[141],"high":[143],"volume-to-noise":[144],"ratio":[145],"(VNR),":[146],"where":[147],"n":[148],"dimension,":[152],"d":[153],"degree":[156],"inverse":[159],"generator":[160],"matrix,":[161],"t":[163],"iterations.":[168],"provides":[171],"higher":[172],"performance":[173],"lower":[175],"compared":[177],"previously":[179],"proposed":[180],"algorithms.":[182]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
