{"id":"https://openalex.org/W3127726618","doi":"https://doi.org/10.1109/isit45174.2021.9517885","title":"Reed-Muller Subcodes: Machine Learning-Aided Design of Efficient Soft Recursive Decoding","display_name":"Reed-Muller Subcodes: Machine Learning-Aided Design of Efficient Soft Recursive Decoding","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3127726618","doi":"https://doi.org/10.1109/isit45174.2021.9517885","mag":"3127726618"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2102.01671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088051341","display_name":"Mohammad Vahid Jamali","orcid":"https://orcid.org/0000-0002-5007-0221"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammad Vahid Jamali","raw_affiliation_strings":["University of Michigan,EECS Department","\u2020University of Michigan"],"affiliations":[{"raw_affiliation_string":"University of Michigan,EECS Department","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"\u2020University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101485314","display_name":"Xiyang Liu","orcid":"https://orcid.org/0000-0003-1120-6584"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiyang Liu","raw_affiliation_strings":["University of Washington,CSE Department","\u2020University of Michigan"],"affiliations":[{"raw_affiliation_string":"University of Washington,CSE Department","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"\u2020University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050142356","display_name":"Ashok Vardhan Makkuva","orcid":"https://orcid.org/0000-0001-6501-9384"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ashok Vardhan Makkuva","raw_affiliation_strings":["University of Illinois at Urbana-Champaign,ECE Department","University of Washington ;"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign,ECE Department","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Washington ;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056299839","display_name":"Hessam Mahdavifar","orcid":"https://orcid.org/0000-0001-9021-1992"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hessam Mahdavifar","raw_affiliation_strings":["University of Michigan,EECS Department","University of Washington ;"],"affiliations":[{"raw_affiliation_string":"University of Michigan,EECS Department","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Washington ;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028243041","display_name":"Sewoong Oh","orcid":"https://orcid.org/0000-0002-8975-8306"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sewoong Oh","raw_affiliation_strings":["University of Washington,CSE Department","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Washington,CSE Department","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053980484","display_name":"Pramod Viswanath","orcid":"https://orcid.org/0000-0003-3171-8667"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod Viswanath","raw_affiliation_strings":["University of Illinois at Urbana-Champaign,ECE Department","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign,ECE Department","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5088051341"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.1591,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48206954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"1088","last_page":"1093"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/decoding-methods","display_name":"Decoding methods","score":0.8403977155685425},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.6158272624015808},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.6142051219940186},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5958570837974548},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5924884080886841},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5850942134857178},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5254339575767517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5041006803512573},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.48520973324775696},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.4599892199039459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4141274392604828},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.1934615969657898},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1890583038330078},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.14455971121788025}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8403977155685425},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.6158272624015808},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.6142051219940186},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5958570837974548},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5924884080886841},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5850942134857178},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5254339575767517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5041006803512573},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.48520973324775696},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.4599892199039459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4141274392604828},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.1934615969657898},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1890583038330078},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.14455971121788025},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit45174.2021.9517885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2102.01671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.01671","pdf_url":"https://arxiv.org/pdf/2102.01671","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"},{"id":"mag:3127726618","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2102.01671","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2102.01671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2102.01671","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2102.01671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.01671","pdf_url":"https://arxiv.org/pdf/2102.01671","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3127726618.pdf","grobid_xml":"https://content.openalex.org/works/W3127726618.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1545614041","https://openalex.org/W1606480398","https://openalex.org/W2004229705","https://openalex.org/W2025948462","https://openalex.org/W2030633623","https://openalex.org/W2103524940","https://openalex.org/W2121417875","https://openalex.org/W2121498709","https://openalex.org/W2143571610","https://openalex.org/W2149250337","https://openalex.org/W2150498905","https://openalex.org/W2589095445","https://openalex.org/W2591190829","https://openalex.org/W2964292940","https://openalex.org/W2964317445","https://openalex.org/W3005447279","https://openalex.org/W3009999666","https://openalex.org/W3037718443","https://openalex.org/W3103465225","https://openalex.org/W3109578553","https://openalex.org/W6631190155","https://openalex.org/W6682299005","https://openalex.org/W6786169801","https://openalex.org/W6786406327","https://openalex.org/W6790046392"],"related_works":["https://openalex.org/W2976297103","https://openalex.org/W3183547315","https://openalex.org/W2604174188","https://openalex.org/W2605282100","https://openalex.org/W3198522623","https://openalex.org/W2949470011","https://openalex.org/W3083822148","https://openalex.org/W3214702273","https://openalex.org/W3196996832","https://openalex.org/W2533814228","https://openalex.org/W3162479169","https://openalex.org/W2120233256","https://openalex.org/W2109628550","https://openalex.org/W1967820532","https://openalex.org/W2373615721","https://openalex.org/W2989652137","https://openalex.org/W3024194398","https://openalex.org/W3018441865","https://openalex.org/W291582042","https://openalex.org/W2117154607"],"abstract_inverted_index":{"Reed-Muller":[0],"(RM)":[1],"codes":[2,28,39,74],"are":[3,17],"conjectured":[4],"to":[5,19,24,46,86,125,151,167,188,233],"achieve":[6],"the":[7,35,96,101,118,134,139,154,176,189,235,246],"capacity":[8],"of":[9,26,31,48,63,72,120,143,156,172,191,199,240],"any":[10,81],"binary-input":[11],"memoryless":[12],"symmetric":[13],"(BMS)":[14],"channel,":[15],"and":[16,110,218],"observed":[18],"have":[20],"a":[21,49,162,195,207,238],"comparable":[22],"performance":[23,44,155,190,214],"that":[25,47,78,148,174],"random":[27],"in":[29],"terms":[30],"scaling":[32],"laws.":[33],"On":[34],"negative":[36],"side,":[37],"RM":[38,73,114,209],"lack":[40],"efficient":[41],"decoders":[42],"with":[43,75,194,221],"close":[45,187],"maximum":[50],"likelihood":[51],"decoder":[52],"for":[53,112,132,169,215],"general":[54],"parameters.":[55],"Also,":[56],"they":[57],"only":[58],"admit":[59],"certain":[60],"discrete":[61],"sets":[62,171],"rates.":[64],"In":[65],"this":[66],"paper,":[67],"we":[68,128],"focus":[69],"on":[70,206],"subcodes":[71],"flexible":[76],"rates":[77],"can":[79],"take":[80],"code":[82],"dimension":[83],"from":[84],"1":[85],"<tex":[87,92],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[88,93],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n$</tex>":[89,94],".":[90],"where":[91],"is":[95,149,231],"blocklength.":[97],"We":[98,136],"first":[99],"extend":[100],"recursive":[102],"projection-aggregation":[103],"(RPA)":[104],"algorithm":[105],"proposed":[106],"recently":[107],"by":[108,237],"Ye":[109],"Abbe":[111],"decoding":[113,122,177,193,217,220,247],"codes.":[115],"To":[116],"lower":[117],"complexity":[119,236],"our":[121,144,181,203,227],"algorithm,":[123,145],"referred":[124],"as":[126],"subRPA,":[127],"investigate":[129],"different":[130],"ways":[131],"pruning":[133],"projections.":[135,200],"then":[137],"derive":[138],"soft-decision":[140],"based":[141],"version":[142],"called":[146],"soft-subRPA,":[147],"shown":[150],"improve":[152],"upon":[153],"subRPA.":[157],"Furthermore,":[158],"it":[159],"enables":[160,184],"training":[161,226],"machine":[163],"learning":[164],"(ML)":[165],"model":[166,183],"search":[168],"good":[170],"projections":[173,223],"minimize":[175],"error":[178],"rate.":[179],"Training":[180],"ML":[182,228],"achieving":[185],"very":[186],"full-projection":[192,216],"significantly":[196],"reduced":[197],"number":[198],"For":[201],"instance,":[202],"simulation":[204],"results":[205],"(64,14)":[208],"subcode":[210],"show":[211],"almost":[212],"identical":[213],"pruned-projection":[219],"15":[222],"picked":[224],"via":[225],"model.":[229],"This":[230],"equivalent":[232],"lowering":[234],"factor":[239],"more":[241],"than":[242],"4":[243],"without":[244],"sacrificing":[245],"performance.":[248]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
