{"id":"https://openalex.org/W1837352444","doi":"https://doi.org/10.1109/tit.2017.2649460","title":"Capacity-Achieving Sparse Superposition Codes via Approximate Message Passing Decoding","display_name":"Capacity-Achieving Sparse Superposition Codes via Approximate Message Passing Decoding","publication_year":2017,"publication_date":"2017-01-09","ids":{"openalex":"https://openalex.org/W1837352444","doi":"https://doi.org/10.1109/tit.2017.2649460","mag":"1837352444"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2649460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2649460","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1501.05892","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069505373","display_name":"Cynthia Rush","orcid":"https://orcid.org/0000-0001-6857-2855"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cynthia Rush","raw_affiliation_strings":["Department of Statistics, Columbia University, New York, NY, USA","Department of Statistics, Yale University, New Haven, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Statistics, Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059174545","display_name":"Adam Greig","orcid":"https://orcid.org/0000-0002-7290-4063"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Adam Greig","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, U.K"],"raw_orcid":"https://orcid.org/0000-0002-7290-4063","affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081409970","display_name":"Ramji Venkataramanan","orcid":"https://orcid.org/0000-0001-7915-5432"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ramji Venkataramanan","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, U.K"],"raw_orcid":"https://orcid.org/0000-0001-7915-5432","affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.2137,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.97544701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"63","issue":"3","first_page":"1476","last_page":"1500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9980999827384949,"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":0.7956517338752747},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.6615755558013916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6306202411651611},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.5020856857299805},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4923149347305298},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40286946296691895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3998974561691284},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.35142606496810913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2524794340133667},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.21128028631210327},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.21101391315460205}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7956517338752747},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.6615755558013916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6306202411651611},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5020856857299805},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4923149347305298},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40286946296691895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3998974561691284},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.35142606496810913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2524794340133667},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.21128028631210327},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.21101391315460205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tit.2017.2649460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2649460","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:1501.05892","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.05892","pdf_url":"https://arxiv.org/pdf/1501.05892","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"},{"id":"pmh:oai:generic.eprints.org:723815","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/723815/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:generic.eprints.org:982150","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/982150/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/262895","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/262895","pdf_url":null,"source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"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":null,"raw_type":"Article"},{"id":"doi:10.17863/cam.8183","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.8183","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1501.05892","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.05892","pdf_url":"https://arxiv.org/pdf/1501.05892","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"id":"https://openalex.org/G4476329143","display_name":null,"funder_award_id":"1355086","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4690474630","display_name":null,"funder_award_id":"631489","funder_id":"https://openalex.org/F4320334679","funder_display_name":"Research Executive Agency"},{"id":"https://openalex.org/G4849507896","display_name":null,"funder_award_id":"EP/N013999/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6659121786","display_name":"Sparse Regression Codes","funder_award_id":"631489","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6986564785","display_name":"Reliable, Spectrally Efficient Communication via Sparse Hadamard Codes","funder_award_id":"EP/N013999/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334679","display_name":"Research Executive Agency","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1500149156","https://openalex.org/W1909826856","https://openalex.org/W1983452621","https://openalex.org/W1987772002","https://openalex.org/W2018322127","https://openalex.org/W2039957496","https://openalex.org/W2082029531","https://openalex.org/W2088934832","https://openalex.org/W2092639489","https://openalex.org/W2098653764","https://openalex.org/W2119667497","https://openalex.org/W2123202508","https://openalex.org/W2129131372","https://openalex.org/W2129857026","https://openalex.org/W2132381218","https://openalex.org/W2138208223","https://openalex.org/W2138577627","https://openalex.org/W2147656689","https://openalex.org/W2166347904","https://openalex.org/W2166670884","https://openalex.org/W2175739537","https://openalex.org/W2296616510","https://openalex.org/W2520575406","https://openalex.org/W2571527823","https://openalex.org/W2610971674","https://openalex.org/W2963072996","https://openalex.org/W2963206527","https://openalex.org/W2963886912","https://openalex.org/W2965130990","https://openalex.org/W3098848552","https://openalex.org/W3102543958","https://openalex.org/W3105033759","https://openalex.org/W4250955649","https://openalex.org/W4285719527","https://openalex.org/W6639933975","https://openalex.org/W6726411557"],"related_works":["https://openalex.org/W3017203753","https://openalex.org/W3083229674","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W3096151594","https://openalex.org/W2964031101","https://openalex.org/W4200209838","https://openalex.org/W2798867000","https://openalex.org/W4299726024"],"abstract_inverted_index":{"Sparse":[0],"superposition":[1,61],"codes":[2],"were":[3],"recently":[4],"introduced":[5],"by":[6,133],"Barron":[7],"and":[8,38,83,123],"Joseph":[9],"for":[10,59],"reliable":[11],"communication":[12],"over":[13],"the":[14,24,47,69,72,78,90,104,107,120,126],"additive":[15],"white":[16],"Gaussian":[17,35],"noise":[18],"(AWGN)":[19],"channel":[20,25],"at":[21,109],"rates":[22],"approaching":[23],"capacity.":[26],"The":[27,75],"codebook":[28],"is":[29,80,85],"defined":[30],"in":[31],"terms":[32],"of":[33,44,46,71,77,106],"a":[34,114],"design":[36,73,136],"matrix,":[37],"codewords":[39],"are":[40,100],"sparse":[41,60],"linear":[42],"combinations":[43],"columns":[45],"matrix.":[48,74],"In":[49],"this":[50],"paper,":[51],"we":[52],"propose":[53],"an":[54,94],"approximate":[55],"message":[56],"passing":[57],"decoder":[58,79,108],"codes,":[62],"whose":[63],"decoding":[64,127],"complexity":[65,128],"scales":[66],"linearly":[67],"with":[68,93],"size":[70],"performance":[76,105],"rigorously":[81],"analyzed":[82],"it":[84],"shown":[86],"to":[87,102,118],"asymptotically":[88],"achieve":[89],"AWGN":[91],"capacity":[92],"appropriate":[95],"power":[96,115],"allocation.":[97],"Simulation":[98],"results":[99],"provided":[101],"demonstrate":[103,124],"finite":[110],"blocklengths.":[111],"We":[112],"introduce":[113],"allocation":[116],"scheme":[117],"improve":[119],"empirical":[121],"performance,":[122],"how":[125],"can":[129],"be":[130],"significantly":[131],"reduced":[132],"using":[134],"Hadamard":[135],"matrices.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}