{"id":"https://openalex.org/W2995257150","doi":"https://doi.org/10.1145/3369382","title":"Flextended Tiles","display_name":"Flextended Tiles","publication_year":2019,"publication_date":"2019-12-17","ids":{"openalex":"https://openalex.org/W2995257150","doi":"https://doi.org/10.1145/3369382","mag":"2995257150"},"language":"en","primary_location":{"id":"doi:10.1145/3369382","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3369382","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3369382","source":{"id":"https://openalex.org/S26056741","display_name":"ACM Transactions on Architecture and Code Optimization","issn_l":"1544-3566","issn":["1544-3566","1544-3973"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Architecture and Code Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3369382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000546902","display_name":"Jie Zhao","orcid":"https://orcid.org/0000-0003-2303-9736"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jie Zhao","raw_affiliation_strings":["INRIA 8 DI, \u00c9cole Normale Sup\u00e9rieure, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA 8 DI, \u00c9cole Normale Sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063162788","display_name":"Albert Cohen","orcid":"https://orcid.org/0000-0002-8866-5343"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Albert Cohen","raw_affiliation_strings":["Google, Paris, France","Google Brain, Paris (8 Rue de Londres-15-15 Bis Rue de Clichy 75009 Paris France\r\n - France)"],"raw_orcid":"https://orcid.org/0000-0002-8866-5343","affiliations":[{"raw_affiliation_string":"Google, Paris, France","institution_ids":[]},{"raw_affiliation_string":"Google Brain, Paris (8 Rue de Londres-15-15 Bis Rue de Clichy 75009 Paris France\r\n - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000546902"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.9744,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86654849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"4","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9941999912261963,"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/computer-science","display_name":"Computer science","score":0.7429640293121338},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7213755249977112},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.6866411566734314},{"id":"https://openalex.org/keywords/loop-tiling","display_name":"Loop tiling","score":0.5837081670761108},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.49834680557250977},{"id":"https://openalex.org/keywords/code-generation","display_name":"Code generation","score":0.4961860775947571},{"id":"https://openalex.org/keywords/compile-time","display_name":"Compile time","score":0.46123623847961426},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45633596181869507},{"id":"https://openalex.org/keywords/polytope-model","display_name":"Polytope model","score":0.4541926980018616},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.4421488046646118},{"id":"https://openalex.org/keywords/domain-specific-language","display_name":"Domain-specific language","score":0.43619304895401},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42424681782722473},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3640197217464447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2400101125240326},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2262018620967865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14299088716506958}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7429640293121338},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7213755249977112},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.6866411566734314},{"id":"https://openalex.org/C11799548","wikidata":"https://www.wikidata.org/wiki/Q6675847","display_name":"Loop tiling","level":3,"score":0.5837081670761108},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.49834680557250977},{"id":"https://openalex.org/C133162039","wikidata":"https://www.wikidata.org/wiki/Q1061077","display_name":"Code generation","level":3,"score":0.4961860775947571},{"id":"https://openalex.org/C200833197","wikidata":"https://www.wikidata.org/wiki/Q333707","display_name":"Compile time","level":3,"score":0.46123623847961426},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45633596181869507},{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.4541926980018616},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.4421488046646118},{"id":"https://openalex.org/C135257023","wikidata":"https://www.wikidata.org/wiki/Q691358","display_name":"Domain-specific language","level":2,"score":0.43619304895401},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42424681782722473},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3640197217464447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2400101125240326},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2262018620967865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14299088716506958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"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/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3369382","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3369382","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3369382","source":{"id":"https://openalex.org/S26056741","display_name":"ACM Transactions on Architecture and Code Optimization","issn_l":"1544-3566","issn":["1544-3566","1544-3973"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Architecture and Code Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02458507v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02458507","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Architecture and Code Optimization, 2020, &#x27E8;10.1145/3369382&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1145/3369382","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3369382","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3369382","source":{"id":"https://openalex.org/S26056741","display_name":"ACM Transactions on Architecture and Code Optimization","issn_l":"1544-3566","issn":["1544-3566","1544-3973"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Architecture and Code Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G778160037","display_name":"Computation-in-memory architecture based on resistive devices","funder_award_id":"780215","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7980717","display_name":null,"funder_award_id":"61702546","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995257150.pdf","grobid_xml":"https://content.openalex.org/works/W2995257150.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1191262899","https://openalex.org/W1691558928","https://openalex.org/W1751458545","https://openalex.org/W1972612668","https://openalex.org/W1973532523","https://openalex.org/W1989988531","https://openalex.org/W1995194116","https://openalex.org/W2003798513","https://openalex.org/W2008436719","https://openalex.org/W2019557157","https://openalex.org/W2028067303","https://openalex.org/W2034761517","https://openalex.org/W2035430533","https://openalex.org/W2049890071","https://openalex.org/W2055312318","https://openalex.org/W2060221201","https://openalex.org/W2063656563","https://openalex.org/W2070961300","https://openalex.org/W2077143534","https://openalex.org/W2084917734","https://openalex.org/W2090942242","https://openalex.org/W2097757554","https://openalex.org/W2100218206","https://openalex.org/W2111308925","https://openalex.org/W2126043703","https://openalex.org/W2126464777","https://openalex.org/W2149849691","https://openalex.org/W2153709524","https://openalex.org/W2153768689","https://openalex.org/W2154078685","https://openalex.org/W2161790807","https://openalex.org/W2166622045","https://openalex.org/W2471164860","https://openalex.org/W2528222261","https://openalex.org/W2788464413","https://openalex.org/W2790475769","https://openalex.org/W2913305800","https://openalex.org/W2962978274","https://openalex.org/W2983923412"],"related_works":["https://openalex.org/W2794657471","https://openalex.org/W2727330431","https://openalex.org/W1970499202","https://openalex.org/W2184722600","https://openalex.org/W1836544786","https://openalex.org/W2107896839","https://openalex.org/W2527038815","https://openalex.org/W2623604894","https://openalex.org/W4231661959","https://openalex.org/W42513275"],"abstract_inverted_index":{"Loop":[0],"tiling":[1,92],"to":[2,36,46,71,89,98,143,176],"exploit":[3],"data":[4],"locality":[5],"and":[6,17,30,74,114,160,184,195,201,210],"parallelism":[7],"plays":[8],"an":[9,128],"essential":[10],"role":[11],"in":[12,22,110],"a":[13,95,177],"variety":[14],"of":[15,28,64,84,169,203],"general-purpose":[16,111,208],"domain-specific":[18,178],"compilers.":[19],"Affine":[20],"transformations":[21],"polyhedral":[23,47],"frameworks":[24],"implement":[25],"classical":[26],"forms":[27],"rectangular":[29],"parallelogram":[31],"tiling,":[32,124],"but":[33],"these":[34,69,85],"lead":[35],"pipelined":[37],"start":[38,60],"with":[39,103,118,135,148],"rather":[40],"inefficient":[41],"wavefront":[42],"parallelism.":[43],"Multiple":[44],"extensions":[45],"compilers":[48],"evaluated":[49],"sophisticated":[50],"shapes":[51,87,147,159],"such":[52],"as":[53,90,127],"trapezoid":[54],"or":[55,180],"diamond":[56],"tiles,":[57],"enabling":[58],"concurrent":[59],"along":[61],"the":[62,65,80,115,155,167,170,174,192,199],"axes":[63],"iteration":[66],"space;":[67],"yet":[68],"resort":[70],"custom":[72,185],"schedulers":[73],"code":[75,186],"generators":[76],"insufficiently":[77],"integrated":[78],"within":[79],"general":[81],"framework.":[82],"One":[83],"modified":[86],"referred":[88],"overlapped":[91,123],"also":[93],"lacks":[94],"unifying":[96],"framework":[97],"reason":[99],"about":[100],"its":[101,108],"composition":[102],"affine":[104,129,137],"transformations;":[105],"this":[106],"prevents":[107],"application":[109],"loop-nest":[112],"optimizers":[113],"fair":[116],"comparison":[117],"other":[119],"techniques.":[120],"We":[121,140,188],"revisit":[122],"recasting":[125],"it":[126],"transformation":[130],"on":[131,191,206],"schedule":[132],"trees":[133],"composable":[134],"any":[136],"scheduling":[138],"algorithm.":[139],"demonstrate":[141],"how":[142],"derive":[144],"tighter":[145],"tile":[146],"less":[149],"redundant":[150],"computations.":[151],"Our":[152],"method":[153],"models":[154],"traditional":[156],"\u201cscalene":[157],"trapezoid\u201d":[158],"novel":[161],"\u201cright-rectangle\u201d":[162],"variants.":[163],"It":[164],"goes":[165],"beyond":[166],"state":[168],"art":[171],"by":[172],"avoiding":[173],"restriction":[175],"language":[179],"introducing":[181],"post-pass":[182],"rescheduling":[183],"generation.":[187],"conduct":[189],"experiments":[190],"PolyMage":[193],"benchmarks":[194],"iterated":[196],"stencils,":[197],"validating":[198],"effectiveness":[200],"applicability":[202],"our":[204],"technique":[205],"both":[207],"multicores":[209],"GPU":[211],"accelerators.":[212]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-12-26T00:00:00"}
