{"id":"https://openalex.org/W4412482047","doi":"https://doi.org/10.1145/3694906.3743307","title":"Minimizing Processor Count for Fault Tolerant Toom-Cook Algorithms","display_name":"Minimizing Processor Count for Fault Tolerant Toom-Cook Algorithms","publication_year":2025,"publication_date":"2025-07-16","ids":{"openalex":"https://openalex.org/W4412482047","doi":"https://doi.org/10.1145/3694906.3743307"},"language":"en","primary_location":{"id":"doi:10.1145/3694906.3743307","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3694906.3743307","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3694906.3743307","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM Symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3694906.3743307","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085026170","display_name":"Roy Nissim","orcid":"https://orcid.org/0009-0007-5762-9917"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Roy Nissim","raw_affiliation_strings":["The Hebrew University of Jerusalem, Department of Computer Science, Jerusalem, Israel"],"raw_orcid":"https://orcid.org/0009-0007-5762-9917","affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem, Department of Computer Science, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010957839","display_name":"Oded Schwartz","orcid":"https://orcid.org/0000-0003-1309-5566"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Oded Schwartz","raw_affiliation_strings":["The Hebrew University of Jerusalem, Department of Computer Science, Jerusalem, Israel"],"raw_orcid":"https://orcid.org/0000-0003-1309-5566","affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem, Department of Computer Science, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5099019368","display_name":"Yuval Spiizer","orcid":"https://orcid.org/0009-0005-0879-2457"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yuval Spiizer","raw_affiliation_strings":["Tel Aviv University, Department of Computer Science, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0009-0005-0879-2457","affiliations":[{"raw_affiliation_string":"Tel Aviv University, Department of Computer Science, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085026170"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18152756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"514","last_page":"524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","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/T10772","display_name":"Distributed systems and fault tolerance","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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9983000159263611,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7244369983673096},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5106781125068665},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4740718901157379},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4130597710609436},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.23117494583129883}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7244369983673096},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5106781125068665},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4740718901157379},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4130597710609436},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.23117494583129883}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3694906.3743307","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3694906.3743307","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3694906.3743307","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM Symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3694906.3743307","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3694906.3743307","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3694906.3743307","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM Symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4016629752","display_name":"Fast Matrix Multiplication for AI","funder_award_id":"101113120","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4601600730","display_name":"Fault Tolerant High Performance Computing","funder_award_id":"818252","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7072181724","display_name":"Reducing Carbon Footprint for Generative AI","funder_award_id":"101138056","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7164713200","display_name":null,"funder_award_id":"1354/23, 514/20","funder_id":"https://openalex.org/F4320323817","funder_display_name":"Universitas Brawijaya"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320323817","display_name":"Universitas Brawijaya","ror":"https://ror.org/01wk3d929"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412482047.pdf","grobid_xml":"https://content.openalex.org/works/W4412482047.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W95608104","https://openalex.org/W1497601926","https://openalex.org/W1544243968","https://openalex.org/W1594335079","https://openalex.org/W1599026900","https://openalex.org/W1649758727","https://openalex.org/W1970435350","https://openalex.org/W1982169443","https://openalex.org/W1983430314","https://openalex.org/W1984564341","https://openalex.org/W1986905947","https://openalex.org/W1993143336","https://openalex.org/W1997882689","https://openalex.org/W2001121794","https://openalex.org/W2010747199","https://openalex.org/W2013892605","https://openalex.org/W2015918966","https://openalex.org/W2032839380","https://openalex.org/W2045741647","https://openalex.org/W2056999868","https://openalex.org/W2064224609","https://openalex.org/W2080132708","https://openalex.org/W2087957223","https://openalex.org/W2100418159","https://openalex.org/W2104373803","https://openalex.org/W2107276343","https://openalex.org/W2107381036","https://openalex.org/W2119018856","https://openalex.org/W2125768532","https://openalex.org/W2129745589","https://openalex.org/W2145071552","https://openalex.org/W2151984682","https://openalex.org/W2157323434","https://openalex.org/W2166114772","https://openalex.org/W2173213060","https://openalex.org/W2268702383","https://openalex.org/W2296772319","https://openalex.org/W2586525815","https://openalex.org/W2617565736","https://openalex.org/W2742439621","https://openalex.org/W2745045892","https://openalex.org/W2757498728","https://openalex.org/W2772721932","https://openalex.org/W2784935051","https://openalex.org/W2798525132","https://openalex.org/W2800398923","https://openalex.org/W2886838847","https://openalex.org/W2900771846","https://openalex.org/W2903237208","https://openalex.org/W2904069009","https://openalex.org/W2922342388","https://openalex.org/W2941010932","https://openalex.org/W2962208489","https://openalex.org/W2962850796","https://openalex.org/W2963041503","https://openalex.org/W2963117124","https://openalex.org/W2963531643","https://openalex.org/W2990138404","https://openalex.org/W3013348637","https://openalex.org/W3098226281","https://openalex.org/W3100417409","https://openalex.org/W3100515187","https://openalex.org/W3113961955","https://openalex.org/W3155392819","https://openalex.org/W3179873149","https://openalex.org/W4226443437","https://openalex.org/W4256483581","https://openalex.org/W4285008797","https://openalex.org/W4285157589","https://openalex.org/W4323065961","https://openalex.org/W4376602569","https://openalex.org/W4399346703"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Long":[0],"integer":[1],"multiplication":[2],"is":[3],"a":[4,39,56,99,143],"fundamental":[5],"kernel":[6],"in":[7,22,29,42,58],"various":[8],"scientific":[9],"areas,":[10],"including":[11],"numerical":[12],"linear":[13],"algebra,":[14],"cryptography,":[15],"and":[16,25,50,80,90,119,137],"quantum":[17],"computing.":[18,44],"Toom-Cook-k":[19],"algorithms":[20],"run":[21],"\u0398(nlogk":[23],"(2k-1))":[24],"are":[26,38,82],"often":[27],"favored":[28],"practice":[30],"over":[31],"the":[32,59,105,115,128],"\u0398":[33],"(n2)":[34],"schoolbook":[35],"algorithm.":[36,116,131],"Faults":[37],"major":[40],"bottleneck":[41],"large-scale":[43],"The":[45],"growing":[46],"size":[47],"of":[48,146],"machines":[49],"decreasing":[51],"operating":[52],"voltages":[53],"led":[54],"to":[55,84],"reduction":[57],"mean":[60],"time":[61],"between":[62],"failures,":[63],"with":[64],"modern":[65],"exascale":[66],"systems":[67],"experiencing":[68],"an":[69,123],"error":[70],"per":[71],"second.":[72],"While":[73],"standard":[74],"fault-tolerant":[75,96,125],"solutions,":[76],"such":[77],"as":[78],"checkpoint-restart":[79],"replication,":[81],"straightforward":[83],"implement,":[85],"they":[86],"incur":[87],"significant":[88],"overhead":[89],"limit":[91],"overall":[92],"system":[93],"utilization.":[94],"Algorithm-based":[95],"solutions":[97],"offer":[98],"more":[100],"efficient":[101],"alternative":[102],"by":[103,110],"leveraging":[104],"algorithm's":[106],"structure,":[107],"for":[108,127],"instance,":[109],"incorporating":[111],"erasure":[112],"codes":[113],"into":[114],"Nissim,":[117],"Schwartz,":[118],"Spiizer":[120],"(2024)":[121],"proposed":[122],"algorithm-based":[124],"solution":[126,133],"parallel":[129],"Toom-Cook":[130],"Their":[132],"incurs":[134],"minor":[135],"arithmetic":[136],"communication":[138],"costs":[139],"overheads,":[140],"but":[141],"requires":[142],"considerable":[144],"number":[145],"additional":[147],"processors.":[148]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}