{"id":"https://openalex.org/W2621218774","doi":"https://doi.org/10.1186/s12859-017-1707-8","title":"Parallel tiled Nussinov RNA folding loop nest generated using both dependence graph transitive closure and loop skewing","display_name":"Parallel tiled Nussinov RNA folding loop nest generated using both dependence graph transitive closure and loop skewing","publication_year":2017,"publication_date":"2017-06-02","ids":{"openalex":"https://openalex.org/W2621218774","doi":"https://doi.org/10.1186/s12859-017-1707-8","mag":"2621218774","pmid":"https://pubmed.ncbi.nlm.nih.gov/28578661"},"language":"en","primary_location":{"id":"doi:10.1186/s12859-017-1707-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-017-1707-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/track/pdf/10.1186/s12859-017-1707-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://bmcbioinformatics.biomedcentral.com/track/pdf/10.1186/s12859-017-1707-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044868188","display_name":"Marek Pa\u0142kowski","orcid":"https://orcid.org/0000-0002-5932-4523"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology in Szczecin","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marek Palkowski","raw_affiliation_strings":["West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland. mpalkowski@wi.zut.edu.pl","West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland. mpalkowski@wi.zut.edu.pl","institution_ids":["https://openalex.org/I155313962"]},{"raw_affiliation_string":"West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland","institution_ids":["https://openalex.org/I155313962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088179088","display_name":"W\u0142odzimierz Bielecki","orcid":"https://orcid.org/0000-0002-7943-6207"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology in Szczecin","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wlodzimierz Bielecki","raw_affiliation_strings":["West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"West Pomeranian University of Technology, Faculty of Computer Science, Szczecin, 71-210, Poland","institution_ids":["https://openalex.org/I155313962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1690,"currency":"GBP","value_usd":2072},"apc_paid":{"value":1690,"currency":"GBP","value_usd":2072},"fwci":1.346,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.80356674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"18","issue":"1","first_page":"290","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10521","display_name":"RNA and protein synthesis mechanisms","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10521","display_name":"RNA and protein synthesis mechanisms","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10120","display_name":"Bacterial Genetics and Biotechnology","score":0.004000000189989805,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10432","display_name":"DNA and Nucleic Acid Chemistry","score":0.0035000001080334187,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7641160488128662},{"id":"https://openalex.org/keywords/loop-fission","display_name":"Loop fission","score":0.6961506009101868},{"id":"https://openalex.org/keywords/loop-fusion","display_name":"Loop fusion","score":0.5935298800468445},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.5675340294837952},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.5605829954147339},{"id":"https://openalex.org/keywords/nested-loop-join","display_name":"Nested loop join","score":0.5275014638900757},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5174161195755005},{"id":"https://openalex.org/keywords/loop-tiling","display_name":"Loop tiling","score":0.5126013159751892},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4837755858898163},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.47495365142822266},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.4606705904006958},{"id":"https://openalex.org/keywords/polytope-model","display_name":"Polytope model","score":0.458512544631958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4288569986820221},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4259335398674011},{"id":"https://openalex.org/keywords/code-generation","display_name":"Code generation","score":0.4235667586326599},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40677154064178467},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.3972504138946533},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.16389566659927368},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15482544898986816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1116119921207428},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08949634432792664}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7641160488128662},{"id":"https://openalex.org/C134718785","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fission","level":3,"score":0.6961506009101868},{"id":"https://openalex.org/C82653869","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fusion","level":3,"score":0.5935298800468445},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.5675340294837952},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.5605829954147339},{"id":"https://openalex.org/C1306188","wikidata":"https://www.wikidata.org/wiki/Q4060687","display_name":"Nested loop join","level":2,"score":0.5275014638900757},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5174161195755005},{"id":"https://openalex.org/C11799548","wikidata":"https://www.wikidata.org/wiki/Q6675847","display_name":"Loop tiling","level":3,"score":0.5126013159751892},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4837755858898163},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.47495365142822266},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.4606705904006958},{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.458512544631958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4288569986820221},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4259335398674011},{"id":"https://openalex.org/C133162039","wikidata":"https://www.wikidata.org/wiki/Q1061077","display_name":"Code generation","level":3,"score":0.4235667586326599},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40677154064178467},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.3972504138946533},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.16389566659927368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15482544898986816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1116119921207428},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08949634432792664},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009690","descriptor_name":"Nucleic Acid Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009690","descriptor_name":"Nucleic Acid Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009690","descriptor_name":"Nucleic Acid Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D012313","descriptor_name":"RNA","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D059370","descriptor_name":"RNA Folding","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059370","descriptor_name":"RNA Folding","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059370","descriptor_name":"RNA Folding","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1186/s12859-017-1707-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-017-1707-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/track/pdf/10.1186/s12859-017-1707-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},{"id":"pmid:28578661","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28578661","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC bioinformatics","raw_type":null},{"id":"pmh:oai:doaj.org/article:6d36d392113a46108f25f6387d49b082","is_oa":true,"landing_page_url":"https://doaj.org/article/6d36d392113a46108f25f6387d49b082","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics, Vol 18, Iss 1, Pp 1-10 (2017)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:4310919","is_oa":true,"landing_page_url":"http://europepmc.org/articles/PMC5457642","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:5457642","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5457642","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/s12859-017-1707-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-017-1707-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/track/pdf/10.1186/s12859-017-1707-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2621218774.pdf","grobid_xml":"https://content.openalex.org/works/W2621218774.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1491410022","https://openalex.org/W1537634146","https://openalex.org/W1567153395","https://openalex.org/W1964354616","https://openalex.org/W1977773427","https://openalex.org/W1979457157","https://openalex.org/W2028092144","https://openalex.org/W2034761517","https://openalex.org/W2038481157","https://openalex.org/W2054931730","https://openalex.org/W2060732469","https://openalex.org/W2078504799","https://openalex.org/W2094377471","https://openalex.org/W2095148514","https://openalex.org/W2097335492","https://openalex.org/W2130598844","https://openalex.org/W2137709353","https://openalex.org/W2142655718","https://openalex.org/W2164202285","https://openalex.org/W2318529993","https://openalex.org/W2560832313","https://openalex.org/W2583310649","https://openalex.org/W3151489216","https://openalex.org/W3203568064","https://openalex.org/W4246289340","https://openalex.org/W4302172614","https://openalex.org/W6712775252"],"related_works":["https://openalex.org/W2342605656","https://openalex.org/W2058764256","https://openalex.org/W154155438","https://openalex.org/W1596526459","https://openalex.org/W2040522199","https://openalex.org/W2727330431","https://openalex.org/W2017719803","https://openalex.org/W1543710109","https://openalex.org/W2052992886","https://openalex.org/W2281158700"],"abstract_inverted_index":{"BACKGROUND:":[0],"RNA":[1,23,85,108,238],"secondary":[2],"structure":[3,86],"prediction":[4],"is":[5,94,123,206,245],"a":[6,57,97,104,184,198,209],"compute":[7],"intensive":[8],"task":[9],"that":[10,116,243],"lies":[11],"at":[12],"the":[13,22,28,47,152,156,180,193,212,232,254,259],"core":[14],"of":[15,62,81,84,91,103,117,145,155,178,183,211,235,258],"several":[16],"search":[17],"algorithms":[18],"in":[19,251],"bioinformatics.":[20],"Fortunately,":[21],"folding":[24],"approaches,":[25],"such":[26],"as":[27,208],"Nussinov":[29,107,157,200,237,260],"base":[30],"pair":[31],"maximization,":[32],"involve":[33],"mathematical":[34],"operations":[35],"over":[36],"affine":[37,68],"control":[38],"loops":[39,154,257],"whose":[40],"iteration":[41],"space":[42],"can":[43],"be":[44,56],"represented":[45],"by":[46,176],"polyhedral":[48,215],"model.":[49],"Polyhedral":[50],"compilation":[51],"techniques":[52,75],"have":[53],"proven":[54],"to":[55,95,126,135,150,172,197],"powerful":[58],"tool":[59],"for":[60,101],"optimization":[61],"dense":[63],"array":[64],"codes.":[65],"However,":[66],"classical":[67],"loop":[69,109,147,158,194,201,261],"nest":[70,110,148,262],"transformations":[71],"used":[72],"with":[73],"these":[74],"do":[76],"not":[77],"optimize":[78],"effectively":[79],"codes":[80,250],"dynamic":[82],"programming":[83],"predictions.":[87],"RESULTS:":[88],"The":[89,204],"purpose":[90],"this":[92],"paper":[93],"present":[96,231],"novel":[98],"approach":[99,161],"allowing":[100],"generation":[102],"parallel":[105,189,239],"tiled":[106,199],"exposing":[111],"significantly":[112],"higher":[113],"performance":[114],"than":[115,248],"known":[118],"related":[119,249],"code.":[120],"This":[121,160],"effect":[122],"achieved":[124],"due":[125],"improving":[127],"code":[128,137,220,240],"locality":[129],"and":[130,168,228,241],"calculation":[131],"parallelization.":[132],"In":[133],"order":[134],"improve":[136],"locality,":[138],"we":[139,191],"apply":[140,192],"our":[141],"previously":[142],"published":[143],"technique":[144,196,205],"automatic":[146],"tiling":[149],"all":[151],"three":[153],"nest.":[159,202],"first":[162],"forms":[163],"original":[164],"rectangular":[165],"3D":[166],"tiles":[167],"then":[169],"corrects":[170],"them":[171],"establish":[173],"their":[174],"validity":[175],"means":[177],"applying":[179],"transitive":[181],"closure":[182],"dependence":[185],"graph.":[186],"To":[187],"produce":[188],"code,":[190],"skewing":[195],"CONCLUSIONS:":[203],"implemented":[207],"part":[210],"publicly":[213],"available":[214],"source-to-source":[216],"TRACO":[217],"compiler.":[218],"Generated":[219],"was":[221],"run":[222],"on":[223],"modern":[224],"Intel":[225],"multi-core":[226],"processors":[227],"coprocessors.":[229],"We":[230],"speed-up":[233],"factor":[234],"generated":[236],"demonstrate":[242],"it":[244],"considerably":[246],"faster":[247],"which":[252],"only":[253],"two":[255],"outer":[256],"are":[263],"tiled.":[264]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}