{"id":"https://openalex.org/W3092785713","doi":"https://doi.org/10.1145/3437801.3441590","title":"On the parallel I/O optimality of linear algebra kernels","display_name":"On the parallel I/O optimality of linear algebra kernels","publication_year":2021,"publication_date":"2021-02-17","ids":{"openalex":"https://openalex.org/W3092785713","doi":"https://doi.org/10.1145/3437801.3441590","mag":"3092785713"},"language":"en","primary_location":{"id":"doi:10.1145/3437801.3441590","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3437801.3441590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming","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":"https://openalex.org/A5056811919","display_name":"Grzegorz Kwa\u015bniewski","orcid":"https://orcid.org/0000-0001-8943-1381"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Grzegorz Kwasniewski","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Marko Kabic","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marko Kabic","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002615744","display_name":"Tal Ben\u2010Nun","orcid":"https://orcid.org/0000-0002-3657-6568"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Tal Ben-Nun","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070514518","display_name":"Alexandros Nikolaos Ziogas","orcid":"https://orcid.org/0000-0002-4328-9751"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alexandros Nikolaos Ziogas","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jens Eirik Saethre","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jens Eirik Saethre","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Andr\u00e9 Gaillard","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Gaillard","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066066810","display_name":"Timo Schneider","orcid":"https://orcid.org/0000-0002-4884-3934"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Timo Schneider","raw_affiliation_strings":["ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056549312","display_name":"Maciej Besta","orcid":"https://orcid.org/0000-0002-6550-7916"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Maciej Besta","raw_affiliation_strings":["ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Anton Kozhevnikov","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Anton Kozhevnikov","raw_affiliation_strings":["ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Joost VandeVondele","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Joost VandeVondele","raw_affiliation_strings":["ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026990786","display_name":"Torsten Hoefler","orcid":"https://orcid.org/0000-0002-1333-9797"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Torsten Hoefler","raw_affiliation_strings":["ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"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":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9965999722480774,"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/abstraction","display_name":"Abstraction","score":0.710422933101654},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.679282546043396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5582223534584045},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.5410901308059692},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.5264818668365479},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4677192270755768},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4561762511730194},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39493659138679504},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3335886597633362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.324846088886261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24143505096435547},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11429443955421448}],"concepts":[{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.710422933101654},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.679282546043396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5582223534584045},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.5410901308059692},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.5264818668365479},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4677192270755768},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4561762511730194},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39493659138679504},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3335886597633362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.324846088886261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24143505096435547},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11429443955421448},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3437801.3441590","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3437801.3441590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming","raw_type":"proceedings-article"},{"id":"doi:10.1145/3458817.3476167","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3458817.3476167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},{"id":"mag:3092785713","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2076664436","display_name":null,"funder_award_id":"678880","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4310276860","display_name":null,"funder_award_id":"678880","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G4859129968","display_name":"Exascale Programming Models for Heterogeneous Systems","funder_award_id":"801039","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5914540212","display_name":null,"funder_award_id":"678880, 801039","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G6531846704","display_name":"Empowering Computational Science using Data-Centric Programming","funder_award_id":"185778","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320337144","display_name":"National Supercomputing Center, Korea Institute of Science and Technology Information","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W201315547","https://openalex.org/W1004371317","https://openalex.org/W1480928214","https://openalex.org/W1487444668","https://openalex.org/W1512709563","https://openalex.org/W1518038022","https://openalex.org/W1545880915","https://openalex.org/W1585509108","https://openalex.org/W1598202309","https://openalex.org/W1946080187","https://openalex.org/W1950718439","https://openalex.org/W1970141743","https://openalex.org/W1972501001","https://openalex.org/W1981534910","https://openalex.org/W1986834688","https://openalex.org/W2003368909","https://openalex.org/W2006973305","https://openalex.org/W2010747199","https://openalex.org/W2011446797","https://openalex.org/W2018338919","https://openalex.org/W2038142281","https://openalex.org/W2056304107","https://openalex.org/W2070079053","https://openalex.org/W2072573758","https://openalex.org/W2075136957","https://openalex.org/W2081692214","https://openalex.org/W2090322880","https://openalex.org/W2093529653","https://openalex.org/W2100846455","https://openalex.org/W2102291960","https://openalex.org/W2104373803","https://openalex.org/W2113338557","https://openalex.org/W2117293168","https://openalex.org/W2128249697","https://openalex.org/W2132729131","https://openalex.org/W2157237396","https://openalex.org/W2162322364","https://openalex.org/W2168612748","https://openalex.org/W2172073571","https://openalex.org/W2203422926","https://openalex.org/W2207785195","https://openalex.org/W2318948631","https://openalex.org/W2399402693","https://openalex.org/W2554941931","https://openalex.org/W2572292438","https://openalex.org/W2613618711","https://openalex.org/W2767319308","https://openalex.org/W2788183263","https://openalex.org/W2798766386","https://openalex.org/W2802071286","https://openalex.org/W2884834742","https://openalex.org/W2895305554","https://openalex.org/W2963451778","https://openalex.org/W2967791890","https://openalex.org/W2972120328","https://openalex.org/W2983126917","https://openalex.org/W2983923412","https://openalex.org/W2984305089","https://openalex.org/W2988055859","https://openalex.org/W3007792078","https://openalex.org/W3027308092","https://openalex.org/W3033869768","https://openalex.org/W3103849684","https://openalex.org/W3132406659","https://openalex.org/W3174627783","https://openalex.org/W4231150350","https://openalex.org/W4234662483","https://openalex.org/W4236558082","https://openalex.org/W4237521714","https://openalex.org/W4301621763"],"related_works":["https://openalex.org/W440343","https://openalex.org/W15432280","https://openalex.org/W12597650","https://openalex.org/W6792737","https://openalex.org/W460995","https://openalex.org/W7703206","https://openalex.org/W1852191","https://openalex.org/W11004522","https://openalex.org/W14075409","https://openalex.org/W11974344"],"abstract_inverted_index":{"Dense":[0],"linear":[1],"algebra":[2],"kernels":[3],"are":[4],"fundamental":[5],"components":[6],"of":[7,20,30,60,104],"many":[8],"scientific":[9],"computing":[10],"applications.":[11],"In":[12],"this":[13,27],"work":[14],"we":[15,49],"present":[16],"a":[17,123],"novel":[18],"method":[19,38],"deriving":[21],"parallel":[22,57],"I/O":[23,58],"lower":[24,72],"bounds":[25],"for":[26],"broad":[28],"family":[29],"programs.":[31],"Based":[32],"on":[33,77,101,122,126],"the":[34,56,96,112],"X-Partitioning":[35],"abstraction,":[36],"our":[37,44,70,86],"explicitly":[39],"captures":[40],"inter-statement":[41],"dependencies.":[42],"Applying":[43],"analysis":[45],"to":[46,118],"LU":[47,53],"factorization,":[48],"derive":[50],"COnfLUX,":[51],"an":[52],"algorithm":[54],"with":[55],"cost":[59],"N3/([EQUATION])":[61],"communicated":[62],"elements":[63],"per":[64],"processor":[65],"-":[66],"only":[67],"1/3\u00d7":[68],"over":[69],"established":[71],"bound.":[73],"We":[74],"evaluate":[75],"COnfLUX":[76,107],"various":[78],"problem":[79],"sizes,":[80],"demonstrating":[81],"empirical":[82],"results":[83],"that":[84],"match":[85],"theoretical":[87],"analysis,":[88],"communicating":[89],"less":[90,110,121],"than":[91,111],"Cray":[92],"ScaLAPACK,":[93],"SLATE,":[94],"and":[95,115],"asymptotically-optimal":[97],"CANDMC":[98],"library.":[99],"Running":[100],"1,024":[102],"nodes":[103],"Piz":[105],"Daint,":[106],"communicates":[108],"1.6\u00d7":[109],"second-best":[113],"implementation":[114],"is":[116],"expected":[117],"communicate":[119],"2.1\u00d7":[120],"full-scale":[124],"run":[125],"Summit.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}
