{"id":"https://openalex.org/W2962957061","doi":"https://doi.org/10.1109/allerton.2017.8262882","title":"On the optimal recovery threshold of coded matrix multiplication","display_name":"On the optimal recovery threshold of coded matrix multiplication","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2962957061","doi":"https://doi.org/10.1109/allerton.2017.8262882","mag":"2962957061"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5012930356","display_name":"Mohammad Fahim","orcid":"https://orcid.org/0000-0002-4266-7087"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammad Fahim","raw_affiliation_strings":["Pennsylvania State University"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051646746","display_name":"Haewon Jeong","orcid":"https://orcid.org/0009-0008-3254-4834"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haewon Jeong","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075332665","display_name":"Farzin Haddadpour","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Farzin Haddadpour","raw_affiliation_strings":["Pennsylvania State University"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035222388","display_name":"Sanghamitra Dutta","orcid":"https://orcid.org/0000-0002-6500-2627"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanghamitra Dutta","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008627075","display_name":"Viveck R. Cadambe","orcid":"https://orcid.org/0000-0001-6786-8785"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Viveck Cadambe","raw_affiliation_strings":["Pennsylvania State University"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054746425","display_name":"Pulkit Grover","orcid":"https://orcid.org/0000-0001-7651-7776"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pulkit Grover","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5012930356"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":11.8407,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.98783287,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1264","last_page":"1270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9980000257492065,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9975000023841858,"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/matrix","display_name":"Matrix (chemical analysis)","score":0.5448784828186035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5428938269615173},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5083829760551453},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.508236825466156},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4974198639392853},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.48201218247413635},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43975159525871277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4050687849521637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39795395731925964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.363755464553833},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3409436345100403},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08761531114578247},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07093286514282227}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5448784828186035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5428938269615173},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5083829760551453},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.508236825466156},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4974198639392853},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.48201218247413635},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43975159525871277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4050687849521637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39795395731925964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.363755464553833},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3409436345100403},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08761531114578247},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07093286514282227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1559438422","https://openalex.org/W2035476608","https://openalex.org/W2064224609","https://openalex.org/W2083613288","https://openalex.org/W2165122343","https://openalex.org/W2412574059","https://openalex.org/W2556205507","https://openalex.org/W2588361603","https://openalex.org/W2588792098","https://openalex.org/W2604218357","https://openalex.org/W2620705481","https://openalex.org/W2741736887","https://openalex.org/W2742582805","https://openalex.org/W2745045892","https://openalex.org/W2762333148","https://openalex.org/W2962723185","https://openalex.org/W2962850796","https://openalex.org/W2963152109","https://openalex.org/W2963290814","https://openalex.org/W2963706835","https://openalex.org/W2963833749","https://openalex.org/W2963837493","https://openalex.org/W2963953036","https://openalex.org/W2964013285","https://openalex.org/W2964088343","https://openalex.org/W2964095159","https://openalex.org/W3111898548","https://openalex.org/W4234869760","https://openalex.org/W4236536374","https://openalex.org/W4301515685","https://openalex.org/W4302423127","https://openalex.org/W6730190955","https://openalex.org/W6738442949","https://openalex.org/W6742061381","https://openalex.org/W6779799172"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W2080263745","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W2115091349"],"abstract_inverted_index":{"We":[0],"provide":[1],"novel":[2,51],"coded":[3],"computation":[4],"strategies":[5],"for":[6],"distributed":[7],"matrix-matrix":[8],"products":[9],"that":[10,79],"outperform":[11],"the":[12,21,71],"recent":[13],"\u201cPolynomial":[14],"code\u201d":[15],"constructions":[16],"in":[17,36],"recovery":[18],"threshold,":[19],"i.e.,":[20],"required":[22],"number":[23],"of":[24,30,92],"successful":[25,47,59],"workers.":[26],"When":[27],"m-th":[28],"fraction":[29],"each":[31,37,68],"matrix":[32],"can":[33],"be":[34],"stored":[35],"worker":[38,69],"node,":[39],"polynomial":[40],"codes":[41,53,83,94],"require":[42,55],"m":[43],"<sup":[44],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[45],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[46],"workers,":[48,60],"while":[49],"our":[50],"MatDot":[52,85],"only":[54],"2m":[56],"-":[57],"1":[58],"albeit":[61],"at":[62],"a":[63],"higher":[64],"communication":[65],"cost":[66],"from":[67],"to":[70,95],"fusion":[72],"node.":[73],"Further,":[74],"we":[75,88],"propose":[76],"\u201cPolyDot\u201d":[77],"coding":[78],"interpolates":[80],"between":[81],"Polynomial":[82],"and":[84],"codes.":[86],"Finally,":[87],"demonstrate":[89],"an":[90],"application":[91],"PolyDot":[93],"multiplying":[96],"multiple":[97],"(>":[98],"2)":[99],"matrices.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T06:02:16.177343","created_date":"2025-10-10T00:00:00"}
