{"id":"https://openalex.org/W2214942147","doi":"https://doi.org/10.1109/eusipco.2015.7362532","title":"Two-sided diagonalization of order-three tensors","display_name":"Two-sided diagonalization of order-three tensors","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2214942147","doi":"https://doi.org/10.1109/eusipco.2015.7362532","mag":"2214942147"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2015.7362532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076229848","display_name":"Petr Tichavsk\u00fd","orcid":"https://orcid.org/0000-0003-0621-4766"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Petr Tichavsky","raw_affiliation_strings":["Institute of Information Theory and Automation, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Information Theory and Automation, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052051065","display_name":"Anh Huy Phan","orcid":"https://orcid.org/0000-0002-5509-7773"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Anh Huy Phan","raw_affiliation_strings":["RIKEN, Brain Science Institute, Wakoshi, Japan"],"affiliations":[{"raw_affiliation_string":"RIKEN, Brain Science Institute, Wakoshi, Japan","institution_ids":["https://openalex.org/I2800939219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226"},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Andrzej S Cichocki","raw_affiliation_strings":["RIKEN, Brain Science Institute, Wakoshi, Japan"],"affiliations":[{"raw_affiliation_string":"RIKEN, Brain Science Institute, Wakoshi, Japan","institution_ids":["https://openalex.org/I2800939219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076229848"],"corresponding_institution_ids":["https://openalex.org/I4210119419"],"apc_list":null,"apc_paid":null,"fwci":0.4722,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.583174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"993","last_page":"997"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9710999727249146,"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.5705881714820862},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5574442148208618},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4560437798500061},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.455416202545166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42380475997924805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41872894763946533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3441842198371887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3314438462257385},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1773911714553833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07941991090774536}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5705881714820862},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5574442148208618},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4560437798500061},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.455416202545166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42380475997924805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41872894763946533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3441842198371887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3314438462257385},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1773911714553833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07941991090774536},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/eusipco.2015.7362532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0447021","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0249083","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W109574459","https://openalex.org/W1485515906","https://openalex.org/W1495881875","https://openalex.org/W1518567891","https://openalex.org/W1594924988","https://openalex.org/W1964204554","https://openalex.org/W2000045479","https://openalex.org/W2001169189","https://openalex.org/W2011304591","https://openalex.org/W2018282388","https://openalex.org/W2034969874","https://openalex.org/W2061169295","https://openalex.org/W2061453120","https://openalex.org/W2075427932","https://openalex.org/W2095420020","https://openalex.org/W2119824511","https://openalex.org/W2121202969","https://openalex.org/W2139996650","https://openalex.org/W2142556858","https://openalex.org/W2181528248","https://openalex.org/W4300989551","https://openalex.org/W6629782479","https://openalex.org/W6631027389","https://openalex.org/W6677649585"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2792539140","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W2064951085","https://openalex.org/W2626141450"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"algorithms":[3,65],"for":[4,14,69,77],"two-sided":[5],"diagonalization":[6,18],"of":[7,19,22],"order-three":[8],"tensors.":[9],"It":[10],"is":[11],"another":[12],"expression":[13],"joint":[15],"non-symmetric":[16],"approximate":[17],"a":[20,62,70],"set":[21],"square":[23],"ma":[24],"trices,":[25],"say":[26],"T":[27,32],"<sub":[28,33,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[29,34,51,55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[30],",...,":[31],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</sub>":[35],":":[36],"We":[37],"seek":[38],"two":[39],"non-orthogonal":[40],"matrices":[41],"A":[42],"and":[43,74,80],"B":[44,53],"such":[45],"that":[46],"the":[47,84],"products":[48],"AT":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sub>":[52],"<sup":[54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</sup>":[56],"are":[57],"close":[58],"to":[59],"diagonal":[60],"in":[61],"sense.":[63],"The":[64],"can":[66],"be":[67],"used":[68],"block":[71],"tensor":[72,78],"decomposition":[73],"applied":[75],"e.g.":[76],"deconvolution":[79],"feature":[81],"extraction":[82],"using":[83],"convolutive":[85],"model.":[86]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}