{"id":"https://openalex.org/W7106253027","doi":"https://doi.org/10.1109/itw62417.2025.11240450","title":"Grid-Like Error-Correcting Codes for Matrix Multiplication with Better Correcting Capability","display_name":"Grid-Like Error-Correcting Codes for Matrix Multiplication with Better Correcting Capability","publication_year":2025,"publication_date":"2025-09-29","ids":{"openalex":"https://openalex.org/W7106253027","doi":"https://doi.org/10.1109/itw62417.2025.11240450"},"language":null,"primary_location":{"id":"doi:10.1109/itw62417.2025.11240450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw62417.2025.11240450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"conference-paper","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":null,"display_name":"Hao Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Shi","raw_affiliation_strings":["Tsinghua University,Department of Mathematics Sciences,Beijing,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University,Department of Mathematics Sciences,Beijing,China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhengyi Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengyi Jiang","raw_affiliation_strings":["Tsinghua University,Department of Mathematics Sciences,Beijing,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University,Department of Mathematics Sciences,Beijing,China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhongyi Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyi Huang","raw_affiliation_strings":["Tsinghua University,Department of Mathematics Sciences,Beijing,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University,Department of Mathematics Sciences,Beijing,China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bo Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Bai","raw_affiliation_strings":["Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Gong Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gong Zhang","raw_affiliation_strings":["Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hanxu Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanxu Hou","raw_affiliation_strings":["Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huawei Tech. Co. Ltd.,Theory Lab, Central Research Institute, 2012 Labs,Hong Kong SAR","institution_ids":["https://openalex.org/I2250955327"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"608","last_page":"613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.44940000772476196,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.44940000772476196,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.2671999931335449,"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"}},{"id":"https://openalex.org/T10101","display_name":"Cloud Computing and Resource Management","score":0.03449999913573265,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/correctness","display_name":"Correctness","score":0.7404000163078308},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6317999958992004},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6116999983787537},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5968000292778015},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5210000276565552},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.47119998931884766},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.45010000467300415},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.3986999988555908},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.38510000705718994}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7667999863624573},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7404000163078308},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6317999958992004},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6116999983787537},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5968000292778015},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5210000276565552},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.517799973487854},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.47119998931884766},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.45010000467300415},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.38510000705718994},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35899999737739563},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.35600000619888306},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3452000021934509},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.3328000009059906},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3041999936103821},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2919999957084656},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw62417.2025.11240450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw62417.2025.11240450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7837719321250916}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2033722498","https://openalex.org/W2056109788","https://openalex.org/W2083613288","https://openalex.org/W2112796928","https://openalex.org/W2977028550","https://openalex.org/W3009878528","https://openalex.org/W3135074210","https://openalex.org/W4380881139","https://openalex.org/W4401387768","https://openalex.org/W4402171154"],"related_works":[],"abstract_inverted_index":{"Matrix":[0],"multiplication":[1,102],"over":[2,78],"the":[3,11,30,120,147,151,195],"real":[4],"field":[5],"constitutes":[6],"a":[7,19,43,93,127,178,190],"foundational":[8],"operation":[9],"in":[10,37,85,181],"training":[12,40],"of":[13,32,122,150,162,194],"deep":[14],"learning":[15],"models,":[16],"serving":[17],"as":[18],"computational":[20,114,182],"cornerstone":[21],"for":[22,100],"both":[23],"forward":[24],"and":[25,49,64,76,111,137,206],"backward":[26],"propagation":[27],"processes.":[28],"However,":[29],"presence":[31],"silent":[33],"data":[34],"corruption":[35],"(SDC)":[36],"large-scale":[38],"distributed":[39,168],"environments":[41],"poses":[42],"significant":[44],"threat":[45],"to":[46,61,74,82,109,164,199],"model":[47,86],"convergence":[48],"predictive":[50],"accuracy,":[51],"particularly":[52],"when":[53],"such":[54],"errors":[55,68,115],"manifest":[56],"during":[57,119],"matrix":[58,101,123],"multiplication.":[59],"Due":[60],"their":[62],"transient":[63],"non-intrusive":[65],"nature,":[66],"these":[67],"often":[69],"evade":[70],"detection,":[71],"allowing":[72],"them":[73],"propagate":[75],"accumulate":[77],"time,":[79],"ultimately":[80],"leading":[81],"substantial":[83],"degradation":[84],"performance.":[87],"In":[88],"this":[89],"paper,":[90],"we":[91,188],"introduce":[92],"novel":[94],"error-correcting":[95],"coding":[96,201],"framework":[97,106],"specifically":[98],"tailored":[99],"operations.":[103],"Our":[104],"proposed":[105],"is":[107],"designed":[108],"detect":[110],"correct":[112],"multiple":[113],"that":[116,156],"may":[117],"arise":[118],"execution":[121],"products.":[124],"By":[125],"leveraging":[126],"grid-based":[128],"structural":[129],"encoding":[130],"scheme,":[131,202],"our":[132,157,200],"approach":[133],"enhances":[134],"error":[135],"localization":[136],"correction":[138,161],"capabilities":[139],"across":[140,169],"all":[141],"participating":[142],"matrices,":[143],"thereby":[144],"significantly":[145],"improving":[146],"fault":[148,210],"tolerance":[149],"computation.":[152],"Experimental":[153],"results":[154],"demonstrate":[155],"method":[158],"achieves":[159],"deterministic":[160],"up":[163],"two":[165],"erroneous":[166],"symbols":[167],"three":[170],"matrices":[171],"with":[172],"100%":[173],"reliability,":[174],"while":[175],"incurring":[176],"only":[177],"24%":[179],"overhead":[180],"time":[183],"on":[184],"GPU":[185],"architectures.":[186],"Furthermore,":[187],"provide":[189],"rigorous":[191],"theoretical":[192],"analysis":[193],"error-correction":[196],"properties":[197],"inherent":[198],"establishing":[203],"its":[204],"correctness":[205],"robustness":[207],"under":[208],"well-defined":[209],"models.":[211]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-11-23T00:00:00"}
