{"id":"https://openalex.org/W2988608730","doi":"https://doi.org/10.23919/eusipco.2019.8902937","title":"Rank-one Tensor Approximation with Beta-divergence Cost Functions","display_name":"Rank-one Tensor Approximation with Beta-divergence Cost Functions","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2988608730","doi":"https://doi.org/10.23919/eusipco.2019.8902937","mag":"2988608730"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco.2019.8902937","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco.2019.8902937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 27th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/641882","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049123030","display_name":"Michiel Vandecappelle","orcid":"https://orcid.org/0000-0001-6231-5313"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michiel Vandecappelle","raw_affiliation_strings":["Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003192020","display_name":"Nico Vervliet","orcid":"https://orcid.org/0000-0003-3006-4155"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nico Vervliet","raw_affiliation_strings":["Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009006026","display_name":"Lieven De Lathauwer","orcid":"https://orcid.org/0000-0001-5562-5014"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lieven De Lathauwer","raw_affiliation_strings":["Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, ESAT/STADIUS, Leuven, Belgium","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049123030"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1439,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.34962406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9559999704360962,"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/divergence","display_name":"Divergence (linguistics)","score":0.8829454183578491},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7860543727874756},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6456513404846191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6001002192497253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5582261085510254},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5120449662208557},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4880596399307251},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.43337109684944153},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.420405775308609},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40523403882980347},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29734259843826294},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18383747339248657},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15290340781211853},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.06091377139091492}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.8829454183578491},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7860543727874756},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6456513404846191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6001002192497253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5582261085510254},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5120449662208557},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4880596399307251},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.43337109684944153},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.420405775308609},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40523403882980347},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29734259843826294},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18383747339248657},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15290340781211853},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.06091377139091492},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/eusipco.2019.8902937","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco.2019.8902937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 27th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/641882","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/641882","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"27th European Signal Processing Conference (EUSIPCO 2019), Coruna, Spain, 2-6 September 2019","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/641882","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/641882","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"27th European Signal Processing Conference (EUSIPCO 2019), Coruna, Spain, 2-6 September 2019","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1964400302","https://openalex.org/W1974785908","https://openalex.org/W1983458887","https://openalex.org/W1988720938","https://openalex.org/W1989811026","https://openalex.org/W2000389939","https://openalex.org/W2018776447","https://openalex.org/W2018850201","https://openalex.org/W2024356620","https://openalex.org/W2026034143","https://openalex.org/W2039844283","https://openalex.org/W2063385922","https://openalex.org/W2071729267","https://openalex.org/W2102536337","https://openalex.org/W2114508388","https://openalex.org/W2119412403","https://openalex.org/W2130984546","https://openalex.org/W2144920235","https://openalex.org/W2262986604","https://openalex.org/W2469230926","https://openalex.org/W2924170235","https://openalex.org/W2944211990","https://openalex.org/W3005990752","https://openalex.org/W3098758500","https://openalex.org/W3105254673","https://openalex.org/W6761160220","https://openalex.org/W6762796666","https://openalex.org/W6773683236"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W1616881371","https://openalex.org/W1520875569","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":{"\u03b2-divergence":[0,117],"cost":[1,6,39,54,118],"functions":[2,7,40],"generalize":[3],"three":[4],"popular":[5],"for":[8,115],"low-rank":[9,46,60],"tensor":[10],"approximation":[11],"by":[12],"interpolating":[13],"between":[14],"them:":[15],"the":[16,20,25,52,59,88],"least-squares":[17],"(LS)":[18],"distance,":[19],"Kullback-Leibler":[21],"(KL)":[22],"divergence":[23],"and":[24,34],"Itakura-Saito":[26],"(IS)":[27],"divergence.":[28],"For":[29],"certain":[30],"types":[31],"of":[32,58,113],"data":[33],"specific":[35],"noise":[36],"distributions,":[37],"beta-divergence":[38],"can":[41,94],"lead":[42],"to":[43,77,108],"more":[44],"meaningful":[45],"approximations":[47,112],"than":[48],"those":[49],"obtained":[50],"with":[51],"LS":[53,69],"function.":[55],"Unfortunately,":[56],"much":[57],"structure":[61,93],"that":[62,104],"is":[63,71],"heavily":[64],"exploited":[65],"in":[66,87],"existing":[67],"second-order":[68,106],"methods,":[70],"no":[72],"longer":[73],"exploitable":[74],"when":[75],"moving":[76],"general":[78,89,116],"\u03b2-divergences.":[79],"In":[80],"this":[81],"paper,":[82],"we":[83],"show":[84],"that,":[85],"unlike":[86],"rank-R":[90],"case,":[91],"rank-1":[92,111],"still":[95],"be":[96],"exploited.":[97],"We":[98],"therefore":[99],"propose":[100],"an":[101],"efficient":[102],"method":[103],"uses":[105],"information":[107],"compute":[109],"nonnegative":[110],"tensors":[114],"functions.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}