{"id":"https://openalex.org/W4387500824","doi":"https://doi.org/10.1137/22m1506857","title":"Group-Invariant Tensor Train Networks for Supervised Learning","display_name":"Group-Invariant Tensor Train Networks for Supervised Learning","publication_year":2023,"publication_date":"2023-10-10","ids":{"openalex":"https://openalex.org/W4387500824","doi":"https://doi.org/10.1137/22m1506857"},"language":"en","primary_location":{"id":"doi:10.1137/22m1506857","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1506857","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":"http://dx.doi.org/10.1137/22m1506857","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037744717","display_name":"Brent Sprangers","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Brent Sprangers","raw_affiliation_strings":["KU Leuven, Department of Computer Science, NUMA division, B-3000 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU Leuven, Department of Computer Science, NUMA division, B-3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047646325","display_name":"Nick Vannieuwenhoven","orcid":"https://orcid.org/0000-0001-5692-4163"},"institutions":[{"id":"https://openalex.org/I24156275","display_name":"Rega Institute for Medical Research","ror":"https://ror.org/03w5j8p12","country_code":"BE","type":"facility","lineage":["https://openalex.org/I24156275"]},{"id":"https://openalex.org/I4210115377","display_name":"VIB-KU Leuven Center for Microbiology","ror":"https://ror.org/02bpp8r91","country_code":"BE","type":"facility","lineage":["https://openalex.org/I2802017950","https://openalex.org/I4210115377","https://openalex.org/I99464096"]},{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Nick Vannieuwenhoven","raw_affiliation_strings":["KU Leuven, Department of Computer Science, NUMA division, B-3000 Leuven, Belgium, and Leuven.AI: KU Leuven Institute for AI, B-3000 Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0001-5692-4163","affiliations":[{"raw_affiliation_string":"KU Leuven, Department of Computer Science, NUMA division, B-3000 Leuven, Belgium, and Leuven.AI: KU Leuven Institute for AI, B-3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096","https://openalex.org/I4210115377","https://openalex.org/I24156275"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037744717"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12336892,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"4","first_page":"829","last_page":"853"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9824000000953674,"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"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9491000175476074,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/invariant","display_name":"Invariant (physics)","score":0.742493748664856},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5921583771705627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5478257536888123},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4651675224304199},{"id":"https://openalex.org/keywords/generative-model","display_name":"Generative model","score":0.44368162751197815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4331624507904053},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.41732412576675415},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4023829400539398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3734869956970215},{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.3308403491973877},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18311411142349243},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08807376027107239}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.742493748664856},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5921583771705627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5478257536888123},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4651675224304199},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.44368162751197815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4331624507904053},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.41732412576675415},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4023829400539398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3734869956970215},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.3308403491973877},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18311411142349243},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08807376027107239},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1506857","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1506857","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:lirias2repo.kuleuven.be:20.500.12942/705590","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/705590","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":"SIAM Conference on Mathematics of Data Science, San Diego, CA, USA, 26-30 September 2022","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/752731","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/752731","pdf_url":"https://lirias.kuleuven.be/retrieve/0dcb57f7-092c-433f-a1d6-14a4b9a99b5d","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematics of Data Science, vol. 5 (4), (829-853)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1137/22m1506857","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1506857","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/G2735578198","display_name":null,"funder_award_id":"STG/19/002","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"}],"funders":[{"id":"https://openalex.org/F4320319128","display_name":"Vlaams Supercomputer Centrum","ror":null},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1515731874","https://openalex.org/W1993482030","https://openalex.org/W2037271374","https://openalex.org/W2038198231","https://openalex.org/W2066014866","https://openalex.org/W2088025933","https://openalex.org/W2122046615","https://openalex.org/W2122816100","https://openalex.org/W2293506269","https://openalex.org/W2322520062","https://openalex.org/W2559655401","https://openalex.org/W2910259907","https://openalex.org/W2990138404","https://openalex.org/W3103713775","https://openalex.org/W3103841689","https://openalex.org/W3130455689","https://openalex.org/W3132426933","https://openalex.org/W3174376786","https://openalex.org/W4251659063","https://openalex.org/W4252614677","https://openalex.org/W4255801121"],"related_works":["https://openalex.org/W4365211920","https://openalex.org/W3014948380","https://openalex.org/W4380551139","https://openalex.org/W2280377497","https://openalex.org/W3174044702","https://openalex.org/W4238433571","https://openalex.org/W2967848559","https://openalex.org/W4283803360","https://openalex.org/W4317695495","https://openalex.org/W4387506531"],"abstract_inverted_index":{"sponsorship:":[0],"KU":[1],"Leuven|STG/19/002":[2]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}
