{"id":"https://openalex.org/W3123612515","doi":"https://doi.org/10.1109/tpds.2021.3053836","title":"True Load Balancing for Matricized Tensor Times Khatri-Rao Product","display_name":"True Load Balancing for Matricized Tensor Times Khatri-Rao Product","publication_year":2021,"publication_date":"2021-01-22","ids":{"openalex":"https://openalex.org/W3123612515","doi":"https://doi.org/10.1109/tpds.2021.3053836","mag":"3123612515"},"language":"en","primary_location":{"id":"doi:10.1109/tpds.2021.3053836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2021.3053836","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":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1765777","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026305207","display_name":"Nabil Abubaker","orcid":"https://orcid.org/0000-0002-5060-3059"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Nabil Abubaker","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, Ankara, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-5060-3059","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089653045","display_name":"Seher Acer","orcid":"https://orcid.org/0000-0003-3951-3930"},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seher Acer","raw_affiliation_strings":["Sandia National Labs, Albuquerque, NM, USA"],"raw_orcid":"https://orcid.org/0000-0003-3951-3930","affiliations":[{"raw_affiliation_string":"Sandia National Labs, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087435011","display_name":"Cevdet Aykanat","orcid":"https://orcid.org/0000-0002-4559-1321"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Cevdet Aykanat","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, Ankara, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-4559-1321","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4126,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.50943396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"32","issue":"8","first_page":"1974","last_page":"1986"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9947999715805054,"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":0.9839000105857849,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7975757122039795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7897646427154541},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7044931650161743},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47936633229255676},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.44815266132354736},{"id":"https://openalex.org/keywords/load-balancing","display_name":"Load balancing (electrical power)","score":0.437737375497818},{"id":"https://openalex.org/keywords/fragmentation","display_name":"Fragmentation (computing)","score":0.42546746134757996},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.4179789423942566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38312819600105286},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37306153774261475},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33783262968063354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12900590896606445}],"concepts":[{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7975757122039795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7897646427154541},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7044931650161743},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47936633229255676},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.44815266132354736},{"id":"https://openalex.org/C138959212","wikidata":"https://www.wikidata.org/wiki/Q1806783","display_name":"Load balancing (electrical power)","level":3,"score":0.437737375497818},{"id":"https://openalex.org/C191015642","wikidata":"https://www.wikidata.org/wiki/Q1132459","display_name":"Fragmentation (computing)","level":2,"score":0.42546746134757996},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.4179789423942566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38312819600105286},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37306153774261475},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33783262968063354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12900590896606445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpds.2021.3053836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2021.3053836","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:osti.gov:1765777","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1765777","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/76913","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/76913","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:osti.gov:1765777","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1765777","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3029845080","display_name":null,"funder_award_id":"EEEAG-116E043","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W175854469","https://openalex.org/W1511885491","https://openalex.org/W1512387364","https://openalex.org/W1864134408","https://openalex.org/W1885791768","https://openalex.org/W1979388401","https://openalex.org/W2024165284","https://openalex.org/W2061370212","https://openalex.org/W2061873838","https://openalex.org/W2069277577","https://openalex.org/W2078174680","https://openalex.org/W2079487069","https://openalex.org/W2103392911","https://openalex.org/W2108138101","https://openalex.org/W2112487361","https://openalex.org/W2118577051","https://openalex.org/W2127975031","https://openalex.org/W2131509030","https://openalex.org/W2132938399","https://openalex.org/W2136065080","https://openalex.org/W2140862024","https://openalex.org/W2142184646","https://openalex.org/W2144685566","https://openalex.org/W2157382843","https://openalex.org/W2163501979","https://openalex.org/W2245094585","https://openalex.org/W2469230926","https://openalex.org/W2481767403","https://openalex.org/W2788854599","https://openalex.org/W2805781225","https://openalex.org/W2893530532","https://openalex.org/W2902783593","https://openalex.org/W2950423973","https://openalex.org/W2965688272","https://openalex.org/W3047192504","https://openalex.org/W3090480494","https://openalex.org/W3122868618","https://openalex.org/W6607206061","https://openalex.org/W6630579473","https://openalex.org/W6676820125","https://openalex.org/W6679381154"],"related_works":["https://openalex.org/W1657880117","https://openalex.org/W2595172197","https://openalex.org/W2127970246","https://openalex.org/W2084856301","https://openalex.org/W1001352512","https://openalex.org/W4382618745","https://openalex.org/W2885125400","https://openalex.org/W1989889224","https://openalex.org/W1987128138","https://openalex.org/W2748922771"],"abstract_inverted_index":{"MTTKRP":[0,28,51,73,88],"is":[1,30,66],"the":[2,10,18,26,47,56,62,68,71,137,145,158,163,166,181,184,189],"bottleneck":[3,167],"operation":[4],"in":[5,61,101,147,195],"algorithms":[6,29],"used":[7],"to":[8,52,55,94,105,135,177],"compute":[9],"CP":[11],"tensor":[12,43],"decomposition.":[13],"For":[14],"sparse":[15,20,173],"tensors,":[16],"utilizing":[17],"compressed":[19],"fibers":[21],"(CSF)":[22],"storage":[23],"format":[24],"and":[25,35,99,115,187],"CSF-oriented":[27,72,87],"important":[31],"for":[32,70,143],"both":[33],"memory":[34],"computational":[36,48,97,128,149],"efficiency":[37],"on":[38,74,110,175],"distributed-memory":[39,75],"architectures.":[40,76],"Existing":[41],"intelligent":[42,83],"partitioning":[44,84],"models":[45,85],"assume":[46],"cost":[49],"of":[50,59,81,130,165,183,191,197],"be":[53],"proportional":[54],"total":[57,102,148],"number":[58],"nonzeros":[60],"tensor.":[63],"However,":[64],"this":[65,124,156],"not":[67],"case":[69],"We":[77,108,132],"outline":[78],"two":[79],"deficiencies":[80,186],"nonzero-based":[82],"when":[86],"operations":[89],"are":[90],"performed":[91],"locally:":[92],"failure":[93],"encode":[95,126],"processors'":[96],"loads":[98,129],"increase":[100,146],"computation":[103],"due":[104],"fiber":[106,141,153],"fragmentation.":[107,154],"focus":[109],"existing":[111],"fine-grain":[112,138],"hypergraph":[113],"model":[114,125,139,160],"propose":[116,134],"a":[117],"novel":[118],"vertex":[119],"weighting":[120],"scheme":[121],"that":[122],"enables":[123],"correct":[127],"processors.":[131],"also":[133],"augment":[136],"by":[140],"nets":[142],"reducing":[144],"load":[150,164],"via":[151],"minimizing":[152,162],"In":[155],"way,":[157],"proposed":[159,193],"encodes":[161],"processor.":[168],"Parallel":[169],"experiments":[170],"with":[171],"real-world":[172],"tensors":[174],"up":[176],"1024":[178],"processors":[179],"prove":[180],"validity":[182],"outlined":[185],"demonstrate":[188],"merit":[190],"our":[192],"improvements":[194],"terms":[196],"parallel":[198],"runtimes.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-12T08:23:45.883708","created_date":"2025-10-10T00:00:00"}