{"id":"https://openalex.org/W2528222261","doi":"https://doi.org/10.1109/tpds.2016.2615094","title":"Diamond Tiling: Tiling Techniques to Maximize Parallelism for Stencil Computations","display_name":"Diamond Tiling: Tiling Techniques to Maximize Parallelism for Stencil Computations","publication_year":2016,"publication_date":"2016-10-04","ids":{"openalex":"https://openalex.org/W2528222261","doi":"https://doi.org/10.1109/tpds.2016.2615094","mag":"2528222261"},"language":"en","primary_location":{"id":"doi:10.1109/tpds.2016.2615094","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2016.2615094","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","raw_type":"journal-article"},"type":"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/A5025342111","display_name":"Uday Bondhugula","orcid":"https://orcid.org/0000-0002-8297-6159"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Uday Bondhugula","raw_affiliation_strings":["Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002439929","display_name":"Vinayaka Bandishti","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vinayaka Bandishti","raw_affiliation_strings":["Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028306163","display_name":"Irshad Pananilath","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Irshad Pananilath","raw_affiliation_strings":["Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, Indian Institute of Science, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":7.0024,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.96770887,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"28","issue":"5","first_page":"1285","last_page":"1298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":1.0,"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":1.0,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9962000250816345,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9940000176429749,"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":0.8412578105926514},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.8311409950256348},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.69849693775177},{"id":"https://openalex.org/keywords/loop-tiling","display_name":"Loop tiling","score":0.6314005255699158},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.449735552072525},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44732001423835754},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.4189490079879761},{"id":"https://openalex.org/keywords/compile-time","display_name":"Compile time","score":0.4171977639198303},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.402312308549881},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.39446768164634705},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3411716818809509},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.24001967906951904}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8412578105926514},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8311409950256348},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.69849693775177},{"id":"https://openalex.org/C11799548","wikidata":"https://www.wikidata.org/wiki/Q6675847","display_name":"Loop tiling","level":3,"score":0.6314005255699158},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.449735552072525},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44732001423835754},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.4189490079879761},{"id":"https://openalex.org/C200833197","wikidata":"https://www.wikidata.org/wiki/Q333707","display_name":"Compile time","level":3,"score":0.4171977639198303},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.402312308549881},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.39446768164634705},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3411716818809509},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.24001967906951904},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tpds.2016.2615094","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2016.2615094","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","raw_type":"journal-article"},{"id":"pmh:oai:eprints.iisc.ac.in:56938","is_oa":false,"landing_page_url":"http://eprints.iisc.ac.in/56938/1/Iee_Tra_Par_Dis_Sys_28-5_1285_2017.pdf","pdf_url":"http://eprints.iisc.ac.in/56938/1/Iee_Tra_Par_Dis_Sys_28-5_1285_2017.pdf","source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W77311303","https://openalex.org/W93506392","https://openalex.org/W1491178396","https://openalex.org/W1558370006","https://openalex.org/W1559264847","https://openalex.org/W1571438983","https://openalex.org/W1577789187","https://openalex.org/W1650934639","https://openalex.org/W1691558928","https://openalex.org/W1751458545","https://openalex.org/W1964354616","https://openalex.org/W1968347730","https://openalex.org/W1973532523","https://openalex.org/W1973923211","https://openalex.org/W1979457157","https://openalex.org/W1983416598","https://openalex.org/W1991009705","https://openalex.org/W1995270665","https://openalex.org/W2003798513","https://openalex.org/W2007194250","https://openalex.org/W2008436719","https://openalex.org/W2028067303","https://openalex.org/W2034761517","https://openalex.org/W2035430533","https://openalex.org/W2053895556","https://openalex.org/W2055312318","https://openalex.org/W2063249715","https://openalex.org/W2063656563","https://openalex.org/W2070961300","https://openalex.org/W2084917734","https://openalex.org/W2090942242","https://openalex.org/W2097757554","https://openalex.org/W2102976251","https://openalex.org/W2104512032","https://openalex.org/W2119609467","https://openalex.org/W2121165123","https://openalex.org/W2128249697","https://openalex.org/W2129471558","https://openalex.org/W2129829929","https://openalex.org/W2151764765","https://openalex.org/W2153768689","https://openalex.org/W2154078685","https://openalex.org/W2160106616","https://openalex.org/W2163193850","https://openalex.org/W2166622045","https://openalex.org/W2199084870","https://openalex.org/W2296218291","https://openalex.org/W2605317797","https://openalex.org/W2962978274","https://openalex.org/W3022287855","https://openalex.org/W3099022356","https://openalex.org/W3152199537","https://openalex.org/W4235662649","https://openalex.org/W4244580719","https://openalex.org/W4255560897","https://openalex.org/W4298291099","https://openalex.org/W6603799187","https://openalex.org/W6687726667","https://openalex.org/W6736004361"],"related_works":["https://openalex.org/W2371266106","https://openalex.org/W2117382851","https://openalex.org/W3006505070","https://openalex.org/W2382449560","https://openalex.org/W2767298477","https://openalex.org/W2110432562","https://openalex.org/W2025344","https://openalex.org/W2117864619","https://openalex.org/W2128104036","https://openalex.org/W2090337950"],"abstract_inverted_index":{"Most":[0],"stencil":[1,132],"computations":[2],"allow":[3,94],"tile-wise":[4],"concurrent":[5,71,95],"start,":[6],"i.e.,":[7],"there":[8],"always":[9],"exists":[10],"a":[11,18,62,88,116,129,145],"face":[12,29],"of":[13,20,90,147],"the":[14],"iteration":[15],"space":[16],"and":[17,38,54,84,140],"set":[19,89],"tiling":[21,44,64,91],"directions":[22],"such":[23,111],"that":[24,28,49,69,121],"all":[25],"tiles":[26],"along":[27],"can":[30],"be":[31],"started":[32],"concurrently.":[33],"This":[34],"provides":[35],"load":[36,55],"balance":[37],"maximizes":[39],"parallelism.":[40],"However,":[41],"existing":[42],"automatic":[43],"frameworks":[45],"often":[46],"choose":[47],"hyperplanes":[48,92],"lead":[50],"to":[51,93,108,127,137,149],"pipelined":[52],"start-up":[53,72],"imbalance.":[56],"We":[57,80,103],"address":[58],"this":[59],"issue":[60],"with":[61,99],"new":[63],"technique,":[65],"called":[66],"diamond":[67,122],"tiling,":[68],"ensures":[70],"as":[73,75],"well":[74],"perfect":[76],"load-balance":[77],"whenever":[78],"possible.":[79],"first":[81],"provide":[82,105],"necessary":[83],"sufficient":[85],"conditions":[86],"for":[87,97],"start":[96],"programs":[98],"affine":[100],"data":[101],"accesses.":[102],"then":[104],"an":[106],"approach":[107],"automatically":[109],"find":[110],"hyperplanes.":[112],"Experimental":[113],"evaluation":[114],"on":[115],"12-core":[117],"Intel":[118],"Westmere":[119],"shows":[120],"tiled":[123],"code":[124,133],"is":[125],"able":[126],"outperform":[128],"tuned":[130],"domain-specific":[131],"generator":[134],"by":[135,144],"10":[136],"40":[138],"percent,":[139],"previous":[141],"compiler":[142],"techniques":[143],"factor":[146],"1.3x":[148],"10.1x.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}