{"id":"https://openalex.org/W4399094764","doi":"https://doi.org/10.1007/s10444-024-10140-9","title":"Approximation in the extended functional tensor train format","display_name":"Approximation in the extended functional tensor train format","publication_year":2024,"publication_date":"2024-05-28","ids":{"openalex":"https://openalex.org/W4399094764","doi":"https://doi.org/10.1007/s10444-024-10140-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-024-10140-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10140-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10140-9.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10140-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026436324","display_name":"Christoph Str\u00f6ssner","orcid":"https://orcid.org/0000-0001-9438-8912"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Christoph Str\u00f6ssner","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020508243","display_name":"Bonan Sun","orcid":"https://orcid.org/0000-0002-7852-2920"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bonan Sun","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084601962","display_name":"Daniel Kre\u00dfner","orcid":"https://orcid.org/0000-0003-3369-2958"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel Kressner","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026436324"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.3328,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7744186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"50","issue":"3","first_page":null,"last_page":null},"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":0.9848999977111816,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.6687467098236084},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6162662506103516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5288675427436829},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38256239891052246},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35790783166885376},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2523419260978699},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2378130555152893}],"concepts":[{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.6687467098236084},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6162662506103516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5288675427436829},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38256239891052246},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35790783166885376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2523419260978699},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2378130555152893}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-024-10140-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10140-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10140-9.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:311655","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/208668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"}],"best_oa_location":{"id":"doi:10.1007/s10444-024-10140-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10140-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10140-9.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399094764.pdf"},"referenced_works_count":83,"referenced_works":["https://openalex.org/W50417968","https://openalex.org/W1595543324","https://openalex.org/W1605528072","https://openalex.org/W1678272269","https://openalex.org/W1858056047","https://openalex.org/W1963826206","https://openalex.org/W1964200011","https://openalex.org/W1967077133","https://openalex.org/W1967538125","https://openalex.org/W1968376936","https://openalex.org/W1971099220","https://openalex.org/W1976986637","https://openalex.org/W1980428773","https://openalex.org/W1993482030","https://openalex.org/W2001518794","https://openalex.org/W2012176413","https://openalex.org/W2013912476","https://openalex.org/W2019689641","https://openalex.org/W2021958990","https://openalex.org/W2024165284","https://openalex.org/W2024825302","https://openalex.org/W2025485823","https://openalex.org/W2028573274","https://openalex.org/W2033368244","https://openalex.org/W2041408102","https://openalex.org/W2049753327","https://openalex.org/W2068609729","https://openalex.org/W2074193803","https://openalex.org/W2078465266","https://openalex.org/W2081933490","https://openalex.org/W2084993914","https://openalex.org/W2088025933","https://openalex.org/W2088087394","https://openalex.org/W2088837947","https://openalex.org/W2089135543","https://openalex.org/W2089755800","https://openalex.org/W2108679901","https://openalex.org/W2109927360","https://openalex.org/W2134793668","https://openalex.org/W2135303118","https://openalex.org/W2160251536","https://openalex.org/W2257543660","https://openalex.org/W2272541835","https://openalex.org/W2337712807","https://openalex.org/W2475643257","https://openalex.org/W2478899349","https://openalex.org/W2592279581","https://openalex.org/W2621213434","https://openalex.org/W2743636838","https://openalex.org/W2760223394","https://openalex.org/W2808075698","https://openalex.org/W2808671516","https://openalex.org/W2945150561","https://openalex.org/W2961932232","https://openalex.org/W2962782763","https://openalex.org/W2962947392","https://openalex.org/W2963308017","https://openalex.org/W2963670229","https://openalex.org/W3004132410","https://openalex.org/W3005862731","https://openalex.org/W3008842210","https://openalex.org/W3022760636","https://openalex.org/W3039249709","https://openalex.org/W3047887441","https://openalex.org/W3100193990","https://openalex.org/W3102506524","https://openalex.org/W3108353645","https://openalex.org/W3111714528","https://openalex.org/W3112410551","https://openalex.org/W3157892620","https://openalex.org/W3174047779","https://openalex.org/W3183480749","https://openalex.org/W3200341936","https://openalex.org/W3206326173","https://openalex.org/W3212672767","https://openalex.org/W4237199339","https://openalex.org/W4254246953","https://openalex.org/W4255975175","https://openalex.org/W4292079583","https://openalex.org/W4323351839","https://openalex.org/W4384700238","https://openalex.org/W4385765145","https://openalex.org/W6675288728"],"related_works":["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","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"work":[2],"proposes":[3],"the":[4,47,52,61,68,75,100],"extended":[5],"functional":[6,48],"tensor":[7,19,49],"train":[8,50],"(EFTT)":[9],"format":[10],"for":[11],"compressing":[12],"and":[13],"working":[14],"with":[15,29],"multivariate":[16],"functions":[17],"on":[18,38,46],"product":[20],"domains.":[21],"Our":[22],"compression":[23],"algorithm":[24,33,101],"combines":[25],"tensorized":[26],"Chebyshev":[27],"interpolation":[28],"a":[30,83],"low-rank":[31],"approximation":[32],"that":[34],"is":[35],"entirely":[36],"based":[37,45],"function":[39,78],"evaluations.":[40],"Compared":[41],"to":[42,81,88,99],"existing":[43],"methods":[44],"format,":[51],"adaptivity":[53],"of":[54,77],"our":[55],"approach":[56],"often":[57],"results":[58],"in":[59],"reducing":[60],"required":[62,80],"storage,":[63],"sometimes":[64],"considerably,":[65],"while":[66],"achieving":[67],"same":[69],"accuracy.":[70],"In":[71],"particular,":[72],"we":[73],"reduce":[74],"number":[76],"evaluations":[79],"achieve":[82],"prescribed":[84],"accuracy":[85],"by":[86],"up":[87],"over":[89],"$$96\\%$$":[90],"<mml:math":[91],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[92],"<mml:mrow>":[93],"<mml:mn>96</mml:mn>":[94],"<mml:mo>%</mml:mo>":[95],"</mml:mrow>":[96],"</mml:math>":[97],"compared":[98],"from":[102],"Gorodetsky":[103],"et":[104],"al.":[105],"(Comput.":[106],"Methods":[107],"Appl.":[108],"Mech.":[109],"Eng.":[110],"347":[111],",":[112],"59\u201384":[113],"2019).":[114]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}