{"id":"https://openalex.org/W4399525847","doi":"https://doi.org/10.1137/23m1584472","title":"Scalable Tensor Methods for Nonuniform Hypergraphs","display_name":"Scalable Tensor Methods for Nonuniform Hypergraphs","publication_year":2024,"publication_date":"2024-06-11","ids":{"openalex":"https://openalex.org/W4399525847","doi":"https://doi.org/10.1137/23m1584472"},"language":"en","primary_location":{"id":"doi:10.1137/23m1584472","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1584472","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1137/23m1584472","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065542694","display_name":"Sinan G. Aksoy","orcid":"https://orcid.org/0000-0002-3466-3334"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sinan G. Aksoy","raw_affiliation_strings":["Pacific Northwest National Laboratory, Richland, WA 99352 USA"],"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory, Richland, WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072852963","display_name":"Ilya Amburg","orcid":"https://orcid.org/0000-0003-1632-5427"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilya Amburg","raw_affiliation_strings":["Corresponding author.\u00a0Pacific Northwest National Laboratory, Richland, WA 99352 USA"],"affiliations":[{"raw_affiliation_string":"Corresponding author.\u00a0Pacific Northwest National Laboratory, Richland, WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001785077","display_name":"Stephen J. Young","orcid":"https://orcid.org/0000-0003-0582-6787"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen J. Young","raw_affiliation_strings":["Pacific Northwest National Laboratory, Richland, WA 99352 USA"],"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory, Richland, WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065542694"],"corresponding_institution_ids":["https://openalex.org/I142606810"],"apc_list":null,"apc_paid":null,"fwci":1.2818,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7737819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"6","issue":"2","first_page":"481","last_page":"503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5846207141876221},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5763664245605469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5144796371459961},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3532521426677704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.200809508562088},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.08544102311134338}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5846207141876221},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5763664245605469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5144796371459961},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3532521426677704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.200809508562088},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.08544102311134338}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1584472","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1584472","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:2396271","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2396271","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}],"best_oa_location":{"id":"doi:10.1137/23m1584472","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1584472","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5200347334","display_name":null,"funder_award_id":"DE-AC05-76RL01830","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1976837627","https://openalex.org/W2015276481","https://openalex.org/W2018282388","https://openalex.org/W2024165284","https://openalex.org/W2024266080","https://openalex.org/W2034204728","https://openalex.org/W2041674806","https://openalex.org/W2061171222","https://openalex.org/W2066639978","https://openalex.org/W2070028074","https://openalex.org/W2082985195","https://openalex.org/W2237805507","https://openalex.org/W2258054274","https://openalex.org/W2258969095","https://openalex.org/W2752670111","https://openalex.org/W2963686193","https://openalex.org/W2971375998","https://openalex.org/W2978329087","https://openalex.org/W2984206738","https://openalex.org/W2985748879","https://openalex.org/W3003257820","https://openalex.org/W3006667093","https://openalex.org/W3035086707","https://openalex.org/W3084933845","https://openalex.org/W3102056589","https://openalex.org/W3170821435","https://openalex.org/W3177994886","https://openalex.org/W3213920619","https://openalex.org/W4214935846","https://openalex.org/W4299490515","https://openalex.org/W4377042461","https://openalex.org/W4378364543","https://openalex.org/W4391464619","https://openalex.org/W4392618837"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"While":[0],"multilinear":[1],"algebra":[2],"appears":[3],"natural":[4],"for":[5,15,54],"studying":[6],"the":[7,71,78,89,97],"multiway":[8],"interactions":[9],"modeled":[10],"by":[11,21,106],"hypergraphs,":[12,35],"tensor":[13,30,48,56,118],"methods":[14],"general":[16],"hypergraphs":[17],"have":[18],"been":[19],"stymied":[20],"theoretical":[22],"and":[23,42,75,99,111,129],"practical":[24],"barriers.":[25],"A":[26],"recently":[27],"proposed":[28],"adjacency":[29,92],"is":[31,37,70,77],"applicable":[32],"to":[33,40,62,123,133],"nonuniform":[34],"but":[36],"prohibitively":[38],"costly":[39],"form":[41],"analyze":[43],"in":[44,66,104],"practice.":[45],"We":[46,114],"develop":[47],"times":[49],"same":[50],"vector":[51],"(TTSV)":[52],"algorithms":[53,83],"this":[55],"which":[57],"improve":[58],"complexity":[59],"from":[60],"$O(n^r)$":[61],"a":[63],"low-degree":[64],"polynomial":[65],"$r$,":[67],"where":[68],"$n$":[69],"number":[72],"of":[73,88,101],"vertices":[74],"$r$":[76,91],"maximum":[79],"hyperedge":[80],"size.":[81],"Our":[82],"are":[84,130],"implicit,":[85],"avoiding":[86],"formation":[87],"order":[90],"tensor.":[93],"Here,":[94],"we":[95],"demonstrate":[96],"flexibility":[98],"utility":[100],"our":[102],"approach":[103],"practice":[105],"developing":[107],"tensor-based":[108],"hypergraph":[109],"centrality":[110],"clustering":[112],"algorithms.":[113],"also":[115,131],"show":[116],"these":[117],"measures":[119],"offer":[120],"complementary":[121],"information":[122],"analogous":[124],"graph-reduction":[125],"approaches":[126,141],"on":[127],"data,":[128],"able":[132],"detect":[134],"higher-order":[135],"structure":[136],"that":[137],"many":[138],"existing":[139],"matrix-based":[140],"provably":[142],"cannot.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
