{"id":"https://openalex.org/W4388282391","doi":"https://doi.org/10.1145/3630023","title":"Algorithm\u00a01040: The Sparse Grids Matlab Kit - a Matlab implementation of sparse grids for high-dimensional function approximation and uncertainty quantification","display_name":"Algorithm\u00a01040: The Sparse Grids Matlab Kit - a Matlab implementation of sparse grids for high-dimensional function approximation and uncertainty quantification","publication_year":2023,"publication_date":"2023-11-03","ids":{"openalex":"https://openalex.org/W4388282391","doi":"https://doi.org/10.1145/3630023"},"language":"en","primary_location":{"id":"doi:10.1145/3630023","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3630023","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-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/A5075492188","display_name":"Chiara Piazzola","orcid":"https://orcid.org/0000-0001-6750-7111"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Chiara Piazzola","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Germany and Consiglio Nazionale delle Ricerche, Pavia, Italy"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Germany and Consiglio Nazionale delle Ricerche, Pavia, Italy","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083408859","display_name":"Lorenzo Tamellini","orcid":"https://orcid.org/0000-0002-8008-0359"},"institutions":[{"id":"https://openalex.org/I4210144062","display_name":"Consorzio Roma Ricerche","ror":"https://ror.org/03jvpn714","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210144062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Tamellini","raw_affiliation_strings":["Consiglio Nazionale delle Ricerche, Pavia, Italy"],"affiliations":[{"raw_affiliation_string":"Consiglio Nazionale delle Ricerche, Pavia, Italy","institution_ids":["https://openalex.org/I4210144062"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075492188"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":5.3969,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.96201198,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"50","issue":"1","first_page":"1","last_page":"22"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9848999977111816,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.984499990940094,"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/matlab","display_name":"MATLAB","score":0.8749334812164307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7781057357788086},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.7025194764137268},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.653959333896637},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5945344567298889},{"id":"https://openalex.org/keywords/rapid-prototyping","display_name":"Rapid prototyping","score":0.5192604064941406},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4986391067504883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44714200496673584},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43154090642929077},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.34901925921440125},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11123093962669373}],"concepts":[{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.8749334812164307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7781057357788086},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.7025194764137268},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.653959333896637},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5945344567298889},{"id":"https://openalex.org/C2780395129","wikidata":"https://www.wikidata.org/wiki/Q1128971","display_name":"Rapid prototyping","level":2,"score":0.5192604064941406},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4986391067504883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44714200496673584},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43154090642929077},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.34901925921440125},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11123093962669373},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3630023","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3630023","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4041182205","display_name":null,"funder_award_id":"00000","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G5473704395","display_name":null,"funder_award_id":"000000","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G6913765328","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W87368160","https://openalex.org/W333648068","https://openalex.org/W575374134","https://openalex.org/W1593505867","https://openalex.org/W1777426557","https://openalex.org/W1965093639","https://openalex.org/W1970476229","https://openalex.org/W1974963628","https://openalex.org/W1982421072","https://openalex.org/W1982944750","https://openalex.org/W1992066335","https://openalex.org/W2005606401","https://openalex.org/W2008640483","https://openalex.org/W2013576021","https://openalex.org/W2018159038","https://openalex.org/W2033022456","https://openalex.org/W2045355467","https://openalex.org/W2049774453","https://openalex.org/W2054314432","https://openalex.org/W2055081012","https://openalex.org/W2067610138","https://openalex.org/W2083845086","https://openalex.org/W2101589741","https://openalex.org/W2106600817","https://openalex.org/W2109012275","https://openalex.org/W2111046434","https://openalex.org/W2117188967","https://openalex.org/W2149498546","https://openalex.org/W2150062983","https://openalex.org/W2165083863","https://openalex.org/W2168170318","https://openalex.org/W2212616210","https://openalex.org/W2394917699","https://openalex.org/W2606283473","https://openalex.org/W2608192427","https://openalex.org/W2612264875","https://openalex.org/W2784834815","https://openalex.org/W2808758704","https://openalex.org/W2896629085","https://openalex.org/W2962707560","https://openalex.org/W2962841346","https://openalex.org/W2963862513","https://openalex.org/W2963940996","https://openalex.org/W2970843558","https://openalex.org/W3049295492","https://openalex.org/W3099452770","https://openalex.org/W3101337068","https://openalex.org/W3120539699","https://openalex.org/W3167882429","https://openalex.org/W3176103068","https://openalex.org/W3194836487","https://openalex.org/W4200361365","https://openalex.org/W4206658865","https://openalex.org/W4211216658","https://openalex.org/W4231397577","https://openalex.org/W4234829730","https://openalex.org/W4240596267","https://openalex.org/W4243755867","https://openalex.org/W4245232001","https://openalex.org/W4252750892","https://openalex.org/W4255975175","https://openalex.org/W4282573382","https://openalex.org/W4295022726","https://openalex.org/W4300621653","https://openalex.org/W4311356603","https://openalex.org/W4319736068","https://openalex.org/W4327753805","https://openalex.org/W4379012471","https://openalex.org/W4387311458"],"related_works":["https://openalex.org/W2389430631","https://openalex.org/W2237649730","https://openalex.org/W3139755018","https://openalex.org/W2159052351","https://openalex.org/W4295217538","https://openalex.org/W2549465884","https://openalex.org/W4321636545","https://openalex.org/W4221165399","https://openalex.org/W2023476765","https://openalex.org/W2220368979"],"abstract_inverted_index":{"The":[0,56],"Sparse":[1],"Grids":[2],"Matlab":[3,7],"Kit":[4],"provides":[5],"a":[6],"implementation":[8],"of":[9,58,66,71,78,88],"sparse":[10],"grids,":[11],"and":[12,31,39,70],"can":[13],"be":[14],"used":[15],"for":[16,23,36],"approximating":[17],"high-dimensional":[18],"functions":[19],"and,":[20],"in":[21,53],"particular,":[22],"surrogate-model-based":[24],"uncertainty":[25],"quantification.":[26],"It":[27],"is":[28,43,61],"lightweight,":[29],"high-level":[30],"easy":[32],"to":[33,62,91],"use,":[34],"good":[35],"quick":[37],"prototyping":[38],"teaching;":[40],"however,":[41],"it":[42],"equipped":[44],"with":[45],"some":[46],"features":[47],"that":[48],"allow":[49],"its":[50],"use":[51],"also":[52],"realistic":[54],"applications.":[55],"goal":[57],"this":[59],"paper":[60],"provide":[63],"an":[64],"overview":[65],"the":[67,72,76,79,85],"data":[68],"structure":[69],"mathematical":[73],"aspects":[74],"forming":[75],"basis":[77],"software,":[80],"as":[81,83],"well":[82],"comparing":[84],"current":[86],"release":[87],"our":[89],"package":[90],"similar":[92],"available":[93],"software.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}