{"id":"https://openalex.org/W2067002667","doi":"https://doi.org/10.1515/mcma-2013-0022","title":"Quasi-Monte Carlo: A high-dimensional experiment","display_name":"Quasi-Monte Carlo: A high-dimensional experiment","publication_year":2014,"publication_date":"2014-05-10","ids":{"openalex":"https://openalex.org/W2067002667","doi":"https://doi.org/10.1515/mcma-2013-0022","mag":"2067002667"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2013-0022","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2013-0022","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","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/A5029329866","display_name":"I. M. Sobol","orcid":null},"institutions":[{"id":"https://openalex.org/I86427540","display_name":"Keldysh Institute of Applied Mathematics","ror":"https://ror.org/01dv3hq14","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601","https://openalex.org/I86427540"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Ilya M. Sobol","raw_affiliation_strings":["Keldysh Institute of Applied Mathematics, 4, Miusskaya sq., Moscow, 125047, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Keldysh Institute of Applied Mathematics, 4, Miusskaya sq., Moscow, 125047, Russia","institution_ids":["https://openalex.org/I86427540"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030665344","display_name":"Boris V. Shukhman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boris V. Shukhman","raw_affiliation_strings":["18-5 Vereyken Crescent, Petawawa, Ontario, K8H-2C5, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"18-5 Vereyken Crescent, Petawawa, Ontario, K8H-2C5, Canada","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029329866"],"corresponding_institution_ids":["https://openalex.org/I86427540"],"apc_list":null,"apc_paid":null,"fwci":2.4432,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88360896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"3","first_page":"167","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9406999945640564,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9325000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.8569912314414978},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6053833365440369},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.5930263996124268},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5586491823196411},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5504492521286011},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.4876753091812134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4830344617366791},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46730872988700867},{"id":"https://openalex.org/keywords/monte-carlo-method-in-statistical-physics","display_name":"Monte Carlo method in statistical physics","score":0.43475961685180664},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.4073907434940338},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.40205320715904236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3571857810020447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3243495225906372},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1991911232471466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16243478655815125},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.15902039408683777},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14432576298713684}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.8569912314414978},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6053833365440369},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.5930263996124268},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5586491823196411},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5504492521286011},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.4876753091812134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4830344617366791},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46730872988700867},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.43475961685180664},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.4073907434940338},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.40205320715904236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3571857810020447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3243495225906372},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1991911232471466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16243478655815125},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.15902039408683777},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14432576298713684},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/mcma-2013-0022","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2013-0022","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4294677683","https://openalex.org/W4367155567","https://openalex.org/W590971457","https://openalex.org/W2019600130","https://openalex.org/W1548972748","https://openalex.org/W86393192","https://openalex.org/W2151084831","https://openalex.org/W2364466961","https://openalex.org/W3107111207","https://openalex.org/W1987325317"],"abstract_inverted_index":{"Abstract":[0],"Certain":[1],"very":[2],"high-dimensional":[3],"integrals":[4],"can":[5,26],"be":[6,27],"efficiently":[7],"approximated":[8],"by":[9],"quasi-Monte":[10],"Carlo":[11],"(q-MC)":[12],"methods.":[13],"If":[14],"the":[15,19,23,36],"average":[16],"dimension":[17],"of":[18],"integrand":[20],"is":[21,35],"small,":[22],"convergence":[24],"rate":[25],"near":[28],"to":[29],"1/":[30],"N":[31,34],",":[32],"where":[33],"sample":[37],"size.":[38]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}