{"id":"https://openalex.org/W4283367029","doi":"https://doi.org/10.1145/3502181.3531472","title":"Communication-aware Sparse Patterns for the Factorized Approximate Inverse Preconditioner","display_name":"Communication-aware Sparse Patterns for the Factorized Approximate Inverse Preconditioner","publication_year":2022,"publication_date":"2022-06-23","ids":{"openalex":"https://openalex.org/W4283367029","doi":"https://doi.org/10.1145/3502181.3531472"},"language":"en","primary_location":{"id":"doi:10.1145/3502181.3531472","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3502181.3531472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st International Symposium on High-Performance Parallel and Distributed Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/369464","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071405524","display_name":"Sergi Laut","orcid":"https://orcid.org/0000-0002-8727-0518"},"institutions":[{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergi Laut","raw_affiliation_strings":["Barcelona Supercomputing Center &amp; Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Barcelona Supercomputing Center &amp; Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044183257","display_name":"Marc Casas","orcid":"https://orcid.org/0000-0003-4564-2093"},"institutions":[{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marc Casas","raw_affiliation_strings":["Barcelona Supercomputing Center &amp; Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Barcelona Supercomputing Center &amp; Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008546385","display_name":"R. Borrell","orcid":"https://orcid.org/0000-0003-3747-7104"},"institutions":[{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ricard Borrell","raw_affiliation_strings":["Barcelona Supercomputing Center, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Barcelona Supercomputing Center, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I2799803557"]}]}],"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":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"148","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9891999959945679,"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/preconditioner","display_name":"Preconditioner","score":0.9663244485855103},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7221658825874329},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7102876901626587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6522905230522156},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5730361938476562},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5672641396522522},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5245813727378845},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5174303650856018},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48408591747283936},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46280473470687866},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4451540410518646},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4275638461112976},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4268166124820709},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4246251583099365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3913425803184509},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38886526226997375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30944642424583435},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15176990628242493},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07477283477783203}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9663244485855103},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7221658825874329},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7102876901626587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6522905230522156},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5730361938476562},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5672641396522522},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5245813727378845},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5174303650856018},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48408591747283936},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46280473470687866},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4451540410518646},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4275638461112976},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4268166124820709},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4246251583099365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3913425803184509},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38886526226997375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30944642424583435},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15176990628242493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07477283477783203},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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":2,"locations":[{"id":"doi:10.1145/3502181.3531472","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3502181.3531472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st International Symposium on High-Performance Parallel and Distributed Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/369464","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/369464","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/369464","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/369464","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W174510205","https://openalex.org/W1508445816","https://openalex.org/W1926678177","https://openalex.org/W1971079846","https://openalex.org/W1985006751","https://openalex.org/W1988420772","https://openalex.org/W1992476323","https://openalex.org/W1994805693","https://openalex.org/W2003505798","https://openalex.org/W2026502086","https://openalex.org/W2026977080","https://openalex.org/W2035080386","https://openalex.org/W2038516134","https://openalex.org/W2057980100","https://openalex.org/W2058273413","https://openalex.org/W2062233541","https://openalex.org/W2078311192","https://openalex.org/W2085789510","https://openalex.org/W2088200553","https://openalex.org/W2089099677","https://openalex.org/W2127981460","https://openalex.org/W2271597431","https://openalex.org/W2290916141","https://openalex.org/W2500846120","https://openalex.org/W2944108582","https://openalex.org/W2962947578","https://openalex.org/W2993109347","https://openalex.org/W3175080065","https://openalex.org/W4230055019","https://openalex.org/W4230349443","https://openalex.org/W4252552527","https://openalex.org/W6959456255"],"related_works":["https://openalex.org/W1966182127","https://openalex.org/W2032861796","https://openalex.org/W2022664527","https://openalex.org/W2089099677","https://openalex.org/W2042846497","https://openalex.org/W2018344028","https://openalex.org/W2104544186","https://openalex.org/W2015938359","https://openalex.org/W1572718068","https://openalex.org/W3216172936"],"abstract_inverted_index":{"The":[0],"Conjugate":[1],"Gradient":[2],"(CG)":[3],"method":[4,78],"is":[5,17,30],"an":[6,124,171],"iterative":[7],"solver":[8],"targeting":[9],"linear":[10],"systems":[11],"of":[12,37,82,120,129,157,176],"equations":[13],"Ax=b":[14],"where":[15],"A":[16],"a":[18,58,77,106,117,155],"symmetric":[19],"and":[20,132,143,168],"positive":[21],"definite":[22],"matrix.":[23],"CG":[24],"convergence":[25],"properties":[26],"improve":[27],"when":[28],"preconditioning":[29],"applied":[31],"to":[32,79,109,149,164],"reduce":[33,110],"the":[34,48,50,69,83],"condition":[35],"number":[36],"matrix":[38],"A.":[39],"While":[40],"many":[41],"different":[42,136],"options":[43],"can":[44],"be":[45],"found":[46],"in":[47,99],"literature,":[49],"Factorized":[51,71],"Sparse":[52,72],"Approximate":[53,73],"Inverse":[54,74],"(FSAI)":[55],"preconditioner":[56,75],"constitutes":[57],"highly":[59],"parallel":[60],"option":[61],"based":[62],"on":[63,116,134,162],"approximating":[64],"A-1.":[65],"This":[66],"paper":[67],"proposes":[68],"Communication-aware":[70],"(FSAIE-Comm),":[76],"generate":[80],"extensions":[81],"FSAI":[84],"sparse":[85],"pattern":[86],"that":[87],"are":[88],"not":[89],"only":[90],"cache":[91],"friendly,":[92],"but":[93],"also":[94,104],"avoid":[95],"increasing":[96],"communication":[97],"costs":[98],"distributed":[100],"memory":[101],"systems.":[102],"We":[103,113],"propose":[105],"filtering":[107],"strategy":[108],"inter-process":[111],"imbalance.":[112],"evaluate":[114],"FSAIE-Comm":[115],"heterogeneous":[118],"set":[119,156],"39":[121],"matrices":[122,160],"achieving":[123],"average":[125,172],"solution":[126,173],"time":[127,174],"decrease":[128,175],"17.98%,":[130],"26.44%":[131],"16.74%":[133],"three":[135],"architectures,":[137],"respectively,":[138],"Intel":[139],"Skylake,":[140],"Fujitsu":[141],"A64FX":[142],"AMD":[144],"Zen":[145],"2":[146],"with":[147],"respect":[148],"FSAI.":[150],"In":[151],"addition,":[152],"we":[153,169],"consider":[154],"8":[158],"large":[159],"running":[161],"up":[163],"32,768":[165],"CPU":[166],"cores,":[167],"achieve":[170],"12.59%.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
