{"id":"https://openalex.org/W2076848169","doi":"https://doi.org/10.1145/379539.379586","title":"Blocking and array contraction across arbitrarily nested loops using affine partitioning","display_name":"Blocking and array contraction across arbitrarily nested loops using affine partitioning","publication_year":2001,"publication_date":"2001-06-18","ids":{"openalex":"https://openalex.org/W2076848169","doi":"https://doi.org/10.1145/379539.379586","mag":"2076848169"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/379539.379586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5047229150","display_name":"Amy W. Lim","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amy W. Lim","raw_affiliation_strings":["Computer Systems Laboratory, Stanford University, Stanford, CA"],"affiliations":[{"raw_affiliation_string":"Computer Systems Laboratory, Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113826583","display_name":"Shih-Wei Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shih-Wei Liao","raw_affiliation_strings":["Intel Research in Santa Clara, California and Computer Systems Laboratory, Stanford University, Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Intel Research in Santa Clara, California and Computer Systems Laboratory, Stanford University, Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002419188","display_name":"Monica S. Lam","orcid":"https://orcid.org/0000-0002-1205-1302"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Monica S. Lam","raw_affiliation_strings":["Computer Systems Laboratory, Stanford University, Stanford, CA"],"affiliations":[{"raw_affiliation_string":"Computer Systems Laboratory, Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.551,"has_fulltext":false,"cited_by_count":137,"citation_normalized_percentile":{"value":0.987041,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9999,"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":0.9999,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9988,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9987,"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/nested-loop-join","display_name":"Nested loop join","score":0.8308618},{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.7592608},{"id":"https://openalex.org/keywords/loop-fission","display_name":"Loop fission","score":0.5791224},{"id":"https://openalex.org/keywords/polytope-model","display_name":"Polytope model","score":0.56806415},{"id":"https://openalex.org/keywords/loop-fusion","display_name":"Loop fusion","score":0.4994328},{"id":"https://openalex.org/keywords/blocking","display_name":"Blocking (statistics)","score":0.4220149}],"concepts":[{"id":"https://openalex.org/C1306188","wikidata":"https://www.wikidata.org/wiki/Q4060687","display_name":"Nested loop join","level":2,"score":0.8308618},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.80942696},{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.7592608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6389719},{"id":"https://openalex.org/C134718785","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fission","level":3,"score":0.5791224},{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.56806415},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5411893},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5382905},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5257055},{"id":"https://openalex.org/C82653869","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fusion","level":3,"score":0.4994328},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4391349},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.43250528},{"id":"https://openalex.org/C29331672","wikidata":"https://www.wikidata.org/wiki/Q3354468","display_name":"Loop optimization","level":4,"score":0.42614457},{"id":"https://openalex.org/C144745244","wikidata":"https://www.wikidata.org/wiki/Q4927286","display_name":"Blocking (statistics)","level":2,"score":0.4220149},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3658051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2789008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23382527},{"id":"https://openalex.org/C190902152","wikidata":"https://www.wikidata.org/wiki/Q1325106","display_name":"Optimizing compiler","level":3,"score":0.21805105},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.21173802},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12183279},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.10282919},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/379539.379586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W1545258949","https://openalex.org/W1551026808","https://openalex.org/W1585509108","https://openalex.org/W1600567712","https://openalex.org/W1963547452","https://openalex.org/W1964354616","https://openalex.org/W1969152955","https://openalex.org/W1970141743","https://openalex.org/W1987948745","https://openalex.org/W2038543880","https://openalex.org/W2042629708","https://openalex.org/W2046351222","https://openalex.org/W2049890071","https://openalex.org/W2074719548","https://openalex.org/W2077960035","https://openalex.org/W2085137800","https://openalex.org/W2109880579","https://openalex.org/W2112482891","https://openalex.org/W2119609467","https://openalex.org/W2159360349","https://openalex.org/W2168277865","https://openalex.org/W2244841219","https://openalex.org/W4238611010","https://openalex.org/W4241752870","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W2727330431","https://openalex.org/W2342605656","https://openalex.org/W2340721088","https://openalex.org/W2080027614","https://openalex.org/W2069314274","https://openalex.org/W2052992886","https://openalex.org/W2040522199","https://openalex.org/W2017719803","https://openalex.org/W1993227264","https://openalex.org/W1596526459"],"abstract_inverted_index":{"Applicable":[0],"to":[1,40],"arbitrary":[2],"sequences":[3],"and":[4,29,45],"nests":[5],"of":[6],"loops,":[7],"affine":[8,35,57],"partitioning":[9,36],"is":[10],"a":[11],"program":[12],"transformation":[13],"framework":[14],"that":[15,52],"unifies":[16],"many":[17],"previously":[18],"proposed":[19],"loop":[20],"transformations,":[21],"including":[22],"unimodular":[23],"transforms,":[24],"fusion,":[25],"fission,":[26],"reindexing,":[27],"scaling":[28],"statement":[30],"reordering.":[31],"Algorithms":[32],"based":[33],"on":[34],"have":[37],"been":[38],"shown":[39],"be":[41],"effective":[42],"for":[43],"parallelization":[44],"communication":[46],"minimization.":[47],"This":[48],"paper":[49],"presents":[50],"algorithms":[51],"improve":[53],"data":[54],"locality":[55],"using":[56],"partitioning.":[58]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2076848169","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":8}],"updated_date":"2024-12-11T02:54:08.292472","created_date":"2016-06-24"}