{"id":"https://openalex.org/W42513275","doi":null,"title":"Code Generation Methods for Tiling Transformations .","display_name":"Code Generation Methods for Tiling Transformations .","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W42513275","mag":"42513275"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.5.9029","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.9029","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iis.sinica.edu.tw/JISE/2002/200209_02.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/123456789/14592","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023870696","display_name":"Georgios Goumas","orcid":"https://orcid.org/0000-0001-7811-4831","observed_orcids":["https://orcid.org/0000-0001-7811-4831"]},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios Goumas","raw_affiliation_strings":["National Technical University Of Athens"],"raw_orcid":"https://orcid.org/0000-0001-7811-4831","affiliations":[{"raw_affiliation_string":"National Technical University Of Athens","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061070844","display_name":"Maria Athanasaki","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maria Athanasaki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023526161","display_name":"Nectarios Koziris","orcid":"https://orcid.org/0000-0002-4890-8427","observed_orcids":["https://orcid.org/0000-0002-4890-8427"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nectarios Koziris","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4890-8427","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.00684112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"667","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9955999851226807,"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":0.9955999851226807,"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/T10126","display_name":"Logic, programming, and type systems","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.0007999999797903001,"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/loop-tiling","display_name":"loop tiling","score":0.8500000238418579},{"id":"https://openalex.org/keywords/automatic-code-generation","display_name":"automatic code generation","score":0.8339999914169312},{"id":"https://openalex.org/keywords/nested-loops","display_name":"nested loops","score":0.7419999837875366},{"id":"https://openalex.org/keywords/fourier-motzkin-elimination","display_name":"Fourier-Motzkin elimination","score":0.9779999852180481},{"id":"https://openalex.org/keywords/hermite-normal-form","display_name":"Hermite normal form","score":0.8009999990463257},{"id":"https://openalex.org/keywords/memory-locality","display_name":"memory locality","score":0.550000011920929},{"id":"https://openalex.org/keywords/multi-level-memory-hierarchy","display_name":"multi-level memory hierarchy","score":0.7950000166893005},{"id":"https://openalex.org/keywords/parallel-architecture","display_name":"parallel architecture","score":0.5709999799728394}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7799205183982849},{"id":"https://openalex.org/C2779788511","wikidata":"https://www.wikidata.org/wiki/Q181658","display_name":"Parallelepiped","level":2,"score":0.7112005949020386},{"id":"https://openalex.org/C1306188","wikidata":"https://www.wikidata.org/wiki/Q4060687","display_name":"Nested loop join","level":2,"score":0.6831039190292358},{"id":"https://openalex.org/C133162039","wikidata":"https://www.wikidata.org/wiki/Q1061077","display_name":"Code generation","level":3,"score":0.666543185710907},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5491818785667419},{"id":"https://openalex.org/C11799548","wikidata":"https://www.wikidata.org/wiki/Q6675847","display_name":"Loop tiling","level":3,"score":0.5144107937812805},{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.5082292556762695},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5007028579711914},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.4826653301715851},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46759504079818726},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.46489304304122925},{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.44683602452278137},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4311142563819885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18207645416259766},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15564849972724915},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13843005895614624},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08878877758979797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08405166864395142},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.5.9029","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.9029","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iis.sinica.edu.tw/JISE/2002/200209_02.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.81.3139","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.81.3139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cslab.ece.ntua.gr/~goumas/Publications/downloads/jise2002.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/14592","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/123456789/14592","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"Journal of Information Science and Engineering","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:42513275","doi":null,"is_oa":false,"landing_page_url":"http://www.cslab.ece.ntua.gr/~nkoziris/papers/jise2002.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S106179100","display_name":"Journal of information science and engineering","issn_l":"1016-2364","issn":["1016-2364"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4324277498","host_organization_name":"Institute of Information Science","host_organization_lineage":["https://openalex.org/P4324277498"],"host_organization_lineage_names":["Institute of Information Science"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of information science and engineering","raw_type":null}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/14592","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/123456789/14592","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"Journal of Information Science and Engineering","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W315496310","https://openalex.org/W1595858234","https://openalex.org/W1968124998","https://openalex.org/W1973923211","https://openalex.org/W1978762859","https://openalex.org/W1983416598","https://openalex.org/W1995270665","https://openalex.org/W1996259884","https://openalex.org/W2011771274","https://openalex.org/W2053895556","https://openalex.org/W2061360138","https://openalex.org/W2078504799","https://openalex.org/W2097699872","https://openalex.org/W2104084101","https://openalex.org/W2116896429","https://openalex.org/W2139440055","https://openalex.org/W2143329533","https://openalex.org/W2144748117","https://openalex.org/W2152506070","https://openalex.org/W2157246336","https://openalex.org/W2158165467","https://openalex.org/W2169058874","https://openalex.org/W2170815324","https://openalex.org/W2296218291"],"related_works":["https://openalex.org/W2137152633","https://openalex.org/W2107896839","https://openalex.org/W1543710109","https://openalex.org/W1836544786","https://openalex.org/W2096337350","https://openalex.org/W1967414258","https://openalex.org/W7100974809","https://openalex.org/W2159360349","https://openalex.org/W7081972438","https://openalex.org/W2120419528"],"abstract_inverted_index":{"Tiling":[0],"or":[1],"supernode":[2],"transformation":[3,143,167],"has":[4],"been":[5],"widely":[6],"used":[7],"to":[8,18,40,97,130,157],"improve":[9],"locality":[10],"in":[11,128,185,224],"multi-level":[12],"memory":[13],"hierarchies,":[14],"as":[15,17,156],"well":[16],"efficiently":[19,160,193],"execute":[20],"loops":[21,31,60,85],"on":[22,71,82],"parallel":[23],"architectures.":[24],"However,":[25],"automatic":[26],"code":[27,55,159,213],"generation":[28,56],"for":[29,58,137,210],"tiled":[30,84,99,212,222],"can":[32],"be":[33],"a":[34,152,165,225],"very":[35],"complex":[36],"compiler":[37],"work":[38,81,127],"due":[39],"non-rectangular":[41],"tile":[42,133,148],"shapes":[43],"and":[44,78,90,113,169,217,229],"arbitrary":[45,91],"iteration":[46,92,111,149],"space":[47,93,150],"bounds.":[48],"In":[49,95],"this":[50],"paper,":[51],"we":[52,76,124,140],"first":[53,103],"survey":[54],"methods":[57,68,102],"nested":[59],"which":[61,200],"are":[62,69,180,190],"transformed":[63],"using":[64,194],"non-unimodular":[65,166],"transformations.":[66],"All":[67],"based":[70],"Fourier-Motzkin":[72],"(FM)":[73],"elimination.":[74,197],"Next,":[75],"consider":[77],"enhance":[79],"previous":[80,126],"rewriting":[83,219],"by":[86],"considering":[87],"parallelepiped":[88,147],"tiles":[89,106],"shapes.":[94],"order":[96,129],"generate":[98,158],"code,":[100],"all":[101,132,202],"enumerate":[104],"the":[105,110,116,122,138,142,145,162,195,207],"containing":[107],"points":[108,117],"within":[109,118],"space,":[112],"second,":[114],"sweep":[115],"each":[119],"tile.":[120],"For":[121],"first,":[123],"extend":[125],"access":[131],"origins":[134],"correctly,":[135],"while":[136],"latter,":[139],"propose":[141],"of":[144,164,178],"initial":[146],"into":[151],"rectangular":[153],"one,":[154],"so":[155],"with":[161],"aid":[163],"matrix":[168],"its":[170],"Hermite":[171],"Normal":[172],"Form":[173],"(HNF).":[174],"The":[175],"resulting":[176],"systems":[177],"inequalities":[179],"much":[181,226],"simpler":[182],"than":[183],"those":[184],"bibliography;":[186],"thus":[187,218],"their":[188],"solutions":[189],"determined":[191],"more":[192,227],"FM":[196],"Experimental":[198],"results":[199],"compare":[201],"presented":[203],"approaches,":[204],"show":[205],"that":[206],"proposed":[208],"method":[209],"generating":[211],"is":[214],"significantly":[215],"faster,":[216],"any":[220],"n-D":[221],"loop":[223],"efficient":[228],"direct":[230],"way.":[231]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}