{"id":"https://openalex.org/W3198591949","doi":"https://doi.org/10.1109/isit45174.2021.9517824","title":"Asymptotic Analysis of Factored LT Codes for Distributed Matrix Multiplication","display_name":"Asymptotic Analysis of Factored LT Codes for Distributed Matrix Multiplication","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3198591949","doi":"https://doi.org/10.1109/isit45174.2021.9517824","mag":"3198591949"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517824","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":"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/A5068649270","display_name":"Asit Kumar Pradhan","orcid":"https://orcid.org/0000-0002-7532-454X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Asit Kumar Pradhan","raw_affiliation_strings":["Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006920802","display_name":"Anoosheh Heidarzadeh","orcid":"https://orcid.org/0000-0002-2069-9264"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anoosheh Heidarzadeh","raw_affiliation_strings":["Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010169197","display_name":"Krishna R. Narayanan","orcid":"https://orcid.org/0000-0001-8742-5332"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Krishna R. Narayanan","raw_affiliation_strings":["Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University,Department of Electrical and Computer Engineering,College Station,TX,USA,77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068649270"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15414943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1718","last_page":"1723"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11478","display_name":"Caching and Content Delivery","score":0.9977999925613403,"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/multiplication","display_name":"Multiplication (music)","score":0.6812823414802551},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5646023750305176},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5013952255249023},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4954601526260376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4936462640762329},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.4438464045524597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4220593273639679},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37867873907089233},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3514501750469208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29504939913749695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18053531646728516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05943092703819275}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6812823414802551},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5646023750305176},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5013952255249023},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4954601526260376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4936462640762329},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.4438464045524597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4220593273639679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37867873907089233},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3514501750469208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29504939913749695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18053531646728516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05943092703819275},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/isit45174.2021.9517824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517824","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W1573820523","https://openalex.org/W1602844557","https://openalex.org/W2296125569","https://openalex.org/W2343350230","https://openalex.org/W2592930648","https://openalex.org/W2594205248","https://openalex.org/W2736152588","https://openalex.org/W2741736887","https://openalex.org/W2745045892","https://openalex.org/W2751733006","https://openalex.org/W2757498728","https://openalex.org/W2787128677","https://openalex.org/W2787606899","https://openalex.org/W2803520071","https://openalex.org/W2806273311","https://openalex.org/W2885072262","https://openalex.org/W2891780733","https://openalex.org/W2902687529","https://openalex.org/W2913183153","https://openalex.org/W2924210329","https://openalex.org/W2938913720","https://openalex.org/W2959057861","https://openalex.org/W2962208489","https://openalex.org/W2962737257","https://openalex.org/W2962813697","https://openalex.org/W2962850796","https://openalex.org/W2962873681","https://openalex.org/W2962957061","https://openalex.org/W2963156292","https://openalex.org/W2963256807","https://openalex.org/W2963461717","https://openalex.org/W2963717115","https://openalex.org/W2964160151","https://openalex.org/W2964229375","https://openalex.org/W2964352239","https://openalex.org/W2975971390","https://openalex.org/W2976462019","https://openalex.org/W2976531921","https://openalex.org/W2976645076","https://openalex.org/W2980753584","https://openalex.org/W2993649261","https://openalex.org/W3005663645","https://openalex.org/W3080703563","https://openalex.org/W3103649678","https://openalex.org/W3111898548","https://openalex.org/W3125356412","https://openalex.org/W3137186662","https://openalex.org/W4230058301","https://openalex.org/W4234869760","https://openalex.org/W4236536374","https://openalex.org/W4295161116","https://openalex.org/W4302423127","https://openalex.org/W6634225129","https://openalex.org/W6738835244","https://openalex.org/W6741764668","https://openalex.org/W6742061381","https://openalex.org/W6743655711","https://openalex.org/W6747961934","https://openalex.org/W6752557422","https://openalex.org/W6758630230","https://openalex.org/W6765788839","https://openalex.org/W6769348046"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2086123442"],"abstract_inverted_index":{"This":[0,40],"work":[1],"considers":[2],"the":[3,25,43,52,71,83,91,96],"asymptotic":[4],"analysis":[5,46],"of":[6,28,51,56,74,102],"factored":[7],"LT":[8],"(FLT)":[9],"codes":[10],"which":[11],"we":[12,64],"proposed":[13],"previously":[14],"for":[15,99],"distributed":[16],"matrix":[17],"multiplication.":[18],"We":[19],"show":[20,69],"that":[21,42,70,90],"all":[22],"nodes":[23],"in":[24],"Tanner":[26],"graph":[27],"a":[29,34,48,75],"randomly":[30,76],"sampled":[31],"code":[32,79],"have":[33],"treelike":[35],"neighborhood":[36],"with":[37],"high":[38],"probability.":[39],"ensures":[41],"density":[44],"evolution":[45],"gives":[47],"reasonable":[49],"estimate":[50],"average":[53,98],"error":[54,72,92],"performance":[55,73,93],"FLT":[57,78],"codes.":[58],"In":[59],"addition,":[60],"using":[61],"Azuma-Hoeffding":[62],"inequality,":[63],"derive":[65],"concentration":[66],"results":[67,88],"to":[68,82],"chosen":[77],"is":[80],"close":[81],"ensemble":[84,97],"average.":[85],"Our":[86],"simulation":[87],"indicate":[89],"concentrates":[94],"around":[95],"moderate":[100],"values":[101],"blocklength.":[103]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}