{"id":"https://openalex.org/W2065120373","doi":"https://doi.org/10.1007/s10208-013-9186-4","title":"Analysis of Discrete $$L^2$$ L 2 Projection on Polynomial Spaces with Random Evaluations","display_name":"Analysis of Discrete $$L^2$$ L 2 Projection on Polynomial Spaces with Random Evaluations","publication_year":2014,"publication_date":"2014-03-04","ids":{"openalex":"https://openalex.org/W2065120373","doi":"https://doi.org/10.1007/s10208-013-9186-4","mag":"2065120373"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-013-9186-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9186-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/196459","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059030374","display_name":"Giovanni Migliorati","orcid":"https://orcid.org/0000-0002-6317-5663"},"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":"G. Migliorati","raw_affiliation_strings":["CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 , Lausanne, Switzerland","CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015\u00a0, Lausanne, Switzerland","CSQI-MATHICSE, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland 1015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 , Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015\u00a0, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"CSQI-MATHICSE, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland 1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043766972","display_name":"Fabio Nobile","orcid":"https://orcid.org/0000-0002-8130-0114"},"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":"F. Nobile","raw_affiliation_strings":["CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 , Lausanne, Switzerland","CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015\u00a0, Lausanne, Switzerland","CSQI-MATHICSE, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland 1015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 , Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"CSQI-MATHICSE,  \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015\u00a0, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"CSQI-MATHICSE, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland 1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039534540","display_name":"Erik von Schwerin","orcid":null},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"E. von Schwerin","raw_affiliation_strings":["Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, 23955-6900, Saudi Arabia","Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, Saudi Arabia 23955-6900#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, Saudi Arabia 23955-6900#TAB#","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004939553","display_name":"Ra\u00fal Tempone","orcid":"https://orcid.org/0000-0003-1967-4446"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"R. Tempone","raw_affiliation_strings":["Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, 23955-6900, Saudi Arabia","Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, Saudi Arabia 23955-6900#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Applied Mathematics and Computational Sciences, and SRI Center for Uncertainty Quantification in Computational Science and Engineering, KAUST, Thuwal, Saudi Arabia 23955-6900#TAB#","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059030374"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":12.887,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.99115282,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8743911981582642},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6659825444221497},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.639410674571991},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5357932448387146},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5298105478286743},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5240326523780823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4313231110572815},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4260317087173462},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.41527488827705383},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3114628791809082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2836691737174988},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.23434114456176758},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22701117396354675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12743845582008362}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8743911981582642},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6659825444221497},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.639410674571991},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5357932448387146},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5298105478286743},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5240326523780823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4313231110572815},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4260317087173462},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.41527488827705383},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3114628791809082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2836691737174988},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.23434114456176758},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22701117396354675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12743845582008362},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10208-013-9186-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9186-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doc.rero.ch:325402","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:196459","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/196459","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/563433","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/563433","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:196459","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/196459","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W71799133","https://openalex.org/W87368160","https://openalex.org/W105972687","https://openalex.org/W563840236","https://openalex.org/W1484867920","https://openalex.org/W1538934584","https://openalex.org/W1584623820","https://openalex.org/W1987377268","https://openalex.org/W1988850203","https://openalex.org/W1995404822","https://openalex.org/W2011210612","https://openalex.org/W2011375448","https://openalex.org/W2018159038","https://openalex.org/W2026679679","https://openalex.org/W2036242000","https://openalex.org/W2040638758","https://openalex.org/W2045355467","https://openalex.org/W2047405057","https://openalex.org/W2048712744","https://openalex.org/W2049222546","https://openalex.org/W2049774453","https://openalex.org/W2055081012","https://openalex.org/W2056227133","https://openalex.org/W2060528584","https://openalex.org/W2083845086","https://openalex.org/W2090171599","https://openalex.org/W2097415784","https://openalex.org/W2113127808","https://openalex.org/W2113239850","https://openalex.org/W2129293958","https://openalex.org/W2150062983","https://openalex.org/W2164452299","https://openalex.org/W2296616510","https://openalex.org/W2487440882","https://openalex.org/W2504767107","https://openalex.org/W2505585705","https://openalex.org/W2613825967","https://openalex.org/W3021293439","https://openalex.org/W4250955649","https://openalex.org/W4254173133","https://openalex.org/W4285719527","https://openalex.org/W4384659402"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W204175656","https://openalex.org/W1993992974","https://openalex.org/W1512294453","https://openalex.org/W2738234280","https://openalex.org/W2550734047","https://openalex.org/W2911841387","https://openalex.org/W2053002746","https://openalex.org/W4389134290"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":8}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}