{"id":"https://openalex.org/W2982471955","doi":"https://doi.org/10.1109/access.2019.2949814","title":"A Survey on Tensor Techniques and Applications in Machine Learning","display_name":"A Survey on Tensor Techniques and Applications in Machine Learning","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2982471955","doi":"https://doi.org/10.1109/access.2019.2949814","mag":"2982471955"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2949814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2949814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08884203.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08884203.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070000452","display_name":"Yuwang Ji","orcid":null},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuwang Ji","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025187681","display_name":"Qiang Wang","orcid":"https://orcid.org/0000-0002-9392-475X"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Wang","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100362246","display_name":"Xuan Li","orcid":"https://orcid.org/0000-0001-5079-3035"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuan Li","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100454179","display_name":"Jie Liu","orcid":"https://orcid.org/0000-0003-0895-7598"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Liu","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070000452"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":6.3086,"has_fulltext":true,"cited_by_count":109,"citation_normalized_percentile":{"value":0.98145859,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"162950","last_page":"162990"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9078999757766724,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.8073652982711792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6699241399765015},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.5907095670700073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5895816087722778},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.5804189443588257},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.5547317266464233},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.5284103155136108},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.4622277021408081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3909619152545929},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.38716229796409607},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32415810227394104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27431511878967285},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.2529410123825073},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.18278923630714417},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.15425637364387512},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07753384113311768}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.8073652982711792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6699241399765015},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.5907095670700073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5895816087722778},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.5804189443588257},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.5547317266464233},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.5284103155136108},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.4622277021408081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3909619152545929},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.38716229796409607},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32415810227394104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27431511878967285},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.2529410123825073},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.18278923630714417},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.15425637364387512},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07753384113311768},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2949814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2949814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08884203.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ede31481950c4675915ce6d7a7b3cf84","is_oa":true,"landing_page_url":"https://doaj.org/article/ede31481950c4675915ce6d7a7b3cf84","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 162950-162990 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2949814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2949814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08884203.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1285561235","display_name":null,"funder_award_id":"6197106661325006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1474490597","display_name":null,"funder_award_id":"111 Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1617359075","display_name":null,"funder_award_id":"B16006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2421345815","display_name":null,"funder_award_id":"L172033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2726718865","display_name":null,"funder_award_id":"B16006","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5298608567","display_name":null,"funder_award_id":"61871045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5476405492","display_name":null,"funder_award_id":"L172033","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7780155995","display_name":null,"funder_award_id":"61325006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7990410193","display_name":null,"funder_award_id":"61971066","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8848654757","display_name":null,"funder_award_id":"6187104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2982471955.pdf","grobid_xml":"https://content.openalex.org/works/W2982471955.grobid-xml"},"referenced_works_count":197,"referenced_works":["https://openalex.org/W152716666","https://openalex.org/W227277429","https://openalex.org/W303777154","https://openalex.org/W630216852","https://openalex.org/W1246381107","https://openalex.org/W1506018867","https://openalex.org/W1550431896","https://openalex.org/W1767074320","https://openalex.org/W1795155312","https://openalex.org/W1795389166","https://openalex.org/W1823244711","https://openalex.org/W1893333638","https://openalex.org/W1967077133","https://openalex.org/W1970176196","https://openalex.org/W1976137296","https://openalex.org/W1979868459","https://openalex.org/W1983543686","https://openalex.org/W1993482030","https://openalex.org/W1995406764","https://openalex.org/W1996869553","https://openalex.org/W1997870068","https://openalex.org/W1998258511","https://openalex.org/W2000134594","https://openalex.org/W2002270820","https://openalex.org/W2003905570","https://openalex.org/W2008657736","https://openalex.org/W2011256616","https://openalex.org/W2013912476","https://openalex.org/W2018282388","https://openalex.org/W2024165284","https://openalex.org/W2031049553","https://openalex.org/W2033368244","https://openalex.org/W2036604884","https://openalex.org/W2038198231","https://openalex.org/W2039588376","https://openalex.org/W2049595458","https://openalex.org/W2055670190","https://openalex.org/W2055913665","https://openalex.org/W2061455349","https://openalex.org/W2062692432","https://openalex.org/W2066024605","https://openalex.org/W2076028636","https://openalex.org/W2076261573","https://openalex.org/W2081504597","https://openalex.org/W2081962379","https://openalex.org/W2088025933","https://openalex.org/W2095729436","https://openalex.org/W2096391265","https://openalex.org/W2096578014","https://openalex.org/W2096602764","https://openalex.org/W2103056111","https://openalex.org/W2103367708","https://openalex.org/W2103537693","https://openalex.org/W2112487361","https://openalex.org/W2116064496","https://openalex.org/W2117756735","https://openalex.org/W2119412403","https://openalex.org/W2122646361","https://openalex.org/W2124664178","https://openalex.org/W2131335073","https://openalex.org/W2132267493","https://openalex.org/W2132380474","https://openalex.org/W2132740649","https://openalex.org/W2132896093","https://openalex.org/W2133497358","https://openalex.org/W2136002544","https://openalex.org/W2150273584","https://openalex.org/W2158821123","https://openalex.org/W2176106089","https://openalex.org/W2230610513","https://openalex.org/W2233419371","https://openalex.org/W2250397939","https://openalex.org/W2252644627","https://openalex.org/W2261023737","https://openalex.org/W2262232454","https://openalex.org/W2292130568","https://openalex.org/W2293139688","https://openalex.org/W2314964555","https://openalex.org/W2315864960","https://openalex.org/W2330159389","https://openalex.org/W2330699524","https://openalex.org/W2336109516","https://openalex.org/W2343408237","https://openalex.org/W2396770278","https://openalex.org/W2431890537","https://openalex.org/W2469230926","https://openalex.org/W2508866287","https://openalex.org/W2516041031","https://openalex.org/W2517293543","https://openalex.org/W2519962796","https://openalex.org/W2524542481","https://openalex.org/W2525014240","https://openalex.org/W2535617683","https://openalex.org/W2577122409","https://openalex.org/W2584613988","https://openalex.org/W2589651508","https://openalex.org/W2592506141","https://openalex.org/W2593392256","https://openalex.org/W2609116098","https://openalex.org/W2617994470","https://openalex.org/W2621097878","https://openalex.org/W2625434482","https://openalex.org/W2737207197","https://openalex.org/W2738069262","https://openalex.org/W2742653678","https://openalex.org/W2759880437","https://openalex.org/W2767113169","https://openalex.org/W2767164967","https://openalex.org/W2769183926","https://openalex.org/W2771315299","https://openalex.org/W2774455886","https://openalex.org/W2775104360","https://openalex.org/W2776224886","https://openalex.org/W2782371094","https://openalex.org/W2783675117","https://openalex.org/W2783684775","https://openalex.org/W2786875553","https://openalex.org/W2788919449","https://openalex.org/W2789481482","https://openalex.org/W2790754721","https://openalex.org/W2792886831","https://openalex.org/W2795579509","https://openalex.org/W2796482624","https://openalex.org/W2798355644","https://openalex.org/W2798508334","https://openalex.org/W2801848240","https://openalex.org/W2802251015","https://openalex.org/W2802255703","https://openalex.org/W2877215096","https://openalex.org/W2883289611","https://openalex.org/W2885073745","https://openalex.org/W2885091302","https://openalex.org/W2888336823","https://openalex.org/W2889309231","https://openalex.org/W2892019262","https://openalex.org/W2892144106","https://openalex.org/W2895035285","https://openalex.org/W2896555062","https://openalex.org/W2896928944","https://openalex.org/W2899051391","https://openalex.org/W2901562544","https://openalex.org/W2918318956","https://openalex.org/W2944119158","https://openalex.org/W2951251599","https://openalex.org/W2962716426","https://openalex.org/W2962961454","https://openalex.org/W2962976813","https://openalex.org/W2962998068","https://openalex.org/W2963328634","https://openalex.org/W2963688311","https://openalex.org/W2963785028","https://openalex.org/W2963885538","https://openalex.org/W2964099118","https://openalex.org/W2964330822","https://openalex.org/W3102581530","https://openalex.org/W3103532839","https://openalex.org/W3106141888","https://openalex.org/W3139939952","https://openalex.org/W4239510810","https://openalex.org/W4252179934","https://openalex.org/W4297683597","https://openalex.org/W4297797409","https://openalex.org/W4298179857","https://openalex.org/W4300989551","https://openalex.org/W6606259130","https://openalex.org/W6620074174","https://openalex.org/W6627248747","https://openalex.org/W6632965665","https://openalex.org/W6638427099","https://openalex.org/W6657948121","https://openalex.org/W6669697714","https://openalex.org/W6674458880","https://openalex.org/W6674587236","https://openalex.org/W6676820125","https://openalex.org/W6678473186","https://openalex.org/W6679490728","https://openalex.org/W6679591791","https://openalex.org/W6679608107","https://openalex.org/W6685946818","https://openalex.org/W6689717122","https://openalex.org/W6691672319","https://openalex.org/W6696625511","https://openalex.org/W6696861415","https://openalex.org/W6702952345","https://openalex.org/W6712172391","https://openalex.org/W6713128830","https://openalex.org/W6717575008","https://openalex.org/W6720207886","https://openalex.org/W6725514628","https://openalex.org/W6726127981","https://openalex.org/W6726741448","https://openalex.org/W6727709070","https://openalex.org/W6732146780","https://openalex.org/W6733009668","https://openalex.org/W6750832535","https://openalex.org/W6751557933","https://openalex.org/W6762753512"],"related_works":["https://openalex.org/W4360921185","https://openalex.org/W2403348579","https://openalex.org/W1965338607","https://openalex.org/W2607194831","https://openalex.org/W4317655647","https://openalex.org/W2981910625","https://openalex.org/W2765690628","https://openalex.org/W1993813870","https://openalex.org/W2058505222","https://openalex.org/W1887380982"],"abstract_inverted_index":{"This":[0,73],"survey":[1,74],"gives":[2],"a":[3,28],"comprehensive":[4],"overview":[5],"of":[6,31,39,44,52,62,79,92,120,135,157],"tensor":[7,82,84,93,109,130,147,151,158,178],"techniques":[8],"and":[9,89,97,122,125,162,171,191],"applications":[10,21,91,126,156],"in":[11,94,105,159],"machine":[12,24,95,160],"learning.":[13],"Tensor":[14],"represents":[15],"higher":[16],"order":[17],"statistics.":[18],"Nowadays,":[19],"many":[20,123],"based":[22,128,174],"on":[23,129,175],"learning":[25,96,99,106,161],"algorithms":[26,46,124,180],"require":[27],"large":[29],"amount":[30],"structured":[32],"high-dimensional":[33,71],"input":[34,65],"data.":[35],"As":[36],"the":[37,42,50,63,76],"set":[38],"data":[40,121,169],"increases,":[41],"complexity":[43],"these":[45,70],"increases":[47],"exponentially":[48],"with":[49],"increase":[51],"vector":[53],"size.":[54],"Some":[55],"scientists":[56],"found":[57],"that":[58],"using":[59],"tensors":[60],"instead":[61],"original":[64],"vectors":[66],"can":[67,115],"effectively":[68,116],"solve":[69],"problems.":[72],"introduces":[75],"basic":[77,148],"knowledge":[78],"tensor,":[80],"including":[81,150,165],"operations,":[83,149],"decomposition,":[85],"some":[86,90,146],"tensor-based":[87],"algorithms,":[88],"deep":[98,163],"for":[100,193],"those":[101],"who":[102],"are":[103,127,181],"interested":[104],"tensors.":[107],"The":[108,132],"decomposition":[110],"is":[111,138],"highlighted":[112],"because":[113],"it":[114],"extract":[117],"structural":[118],"features":[119],"decomposition.":[131,152],"organizational":[133],"framework":[134],"this":[136],"paper":[137],"as":[139],"follows.":[140],"In":[141,153],"part":[142,154],"one,":[143],"we":[144,185],"introduce":[145],"two,":[155],"learning,":[164],"regression,":[166],"supervised":[167],"classification,":[168],"preprocessing,":[170],"unsupervised":[172],"classification":[173],"low":[176],"rank":[177],"approximation":[179],"introduced":[182],"detailly.":[183],"Finally,":[184],"briefly":[186],"discuss":[187],"urgent":[188],"challenges,":[189],"opportunities":[190],"prospects":[192],"tensor.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":28},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":7},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}