{"id":"https://openalex.org/W3088132757","doi":"https://doi.org/10.1007/s10208-021-09541-9","title":"Drift Estimation of Multiscale Diffusions Based on Filtered Data","display_name":"Drift Estimation of Multiscale Diffusions Based on Filtered Data","publication_year":2021,"publication_date":"2021-10-13","ids":{"openalex":"https://openalex.org/W3088132757","doi":"https://doi.org/10.1007/s10208-021-09541-9","mag":"3088132757"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-021-09541-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09541-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09541-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09541-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066396148","display_name":"Assyr Abdulle","orcid":"https://orcid.org/0000-0002-5687-9742"},"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":"Assyr Abdulle","raw_affiliation_strings":["ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081941492","display_name":"Giacomo Garegnani","orcid":"https://orcid.org/0000-0001-7700-1157"},"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":"Giacomo Garegnani","raw_affiliation_strings":["ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044857425","display_name":"Grigorios A. Pavliotis","orcid":"https://orcid.org/0000-0002-3468-9227"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Grigorios A. Pavliotis","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, UK","[Department of Mathematics, Imperial College London, London, UK]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"[Department of Mathematics, Imperial College London, London, UK]","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032114852","display_name":"Andrew M. Stuart","orcid":"https://orcid.org/0000-0001-9091-7266"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew M. Stuart","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","California Institute of Technology, Pasadena, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology, Pasadena, USA#TAB#","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050267562","display_name":"Andrea Zanoni","orcid":"https://orcid.org/0000-0002-7337-288X"},"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":"Andrea Zanoni","raw_affiliation_strings":["ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"ANMC, Institute of Mathematics, cole Polytechnique Fdrale de Lausanne, Station 8, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"ANMC, Institute of Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066396148"],"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":0.3013,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58028839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"1","first_page":"33","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6957795023918152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.54278564453125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5392798781394958},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5141180157661438},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4734986424446106},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.45610693097114563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4265161454677582},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37704262137413025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34964919090270996},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21802562475204468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11635616421699524}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6957795023918152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.54278564453125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5392798781394958},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5141180157661438},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4734986424446106},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.45610693097114563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4265161454677582},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37704262137413025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34964919090270996},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21802562475204468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11635616421699524},{"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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10208-021-09541-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09541-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09541-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.13457","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.13457","pdf_url":"https://arxiv.org/pdf/2009.13457","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:authors.library.caltech.edu:106564","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/106564/","pdf_url":"https://resolver.caltech.edu/CaltechAUTHORS:20201109-141017891","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"mag:3088132757","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2009.13457.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:289476","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/289476","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":"","raw_type":"research article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/92277","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/92277","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"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":"84","raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.2009.13457","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.13457","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10208-021-09541-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-021-09541-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-021-09541-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1257954173","display_name":null,"funder_award_id":"EP/P031587/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1441312571","display_name":null,"funder_award_id":"00020","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G167957753","display_name":"Uncertainty Quantification for Machine Learning","funder_award_id":"1818977","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3330119427","display_name":null,"funder_award_id":"EPSRC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3555931487","display_name":"Engineering a minimal system to study reverse electron transport in respiratory complex I: the role of enzyme efficiency in health and disease","funder_award_id":"181897","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4787172370","display_name":"Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications","funder_award_id":"EP/P031587/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4836148144","display_name":"Immunologie des Typ-1 Diabetes.","funder_award_id":"20002","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5599649393","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5876342273","display_name":null,"funder_award_id":"DMS 1818977","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G628552264","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7123859392","display_name":"Numerical methods for stationary and time-dependent multiscale problems","funder_award_id":"172710","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7913370175","display_name":null,"funder_award_id":"EP/P031587","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8489162333","display_name":null,"funder_award_id":"200020_172710","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8719353587","display_name":null,"funder_award_id":"EP/P0","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320915","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3088132757.pdf","grobid_xml":"https://content.openalex.org/works/W3088132757.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W564229125","https://openalex.org/W820024641","https://openalex.org/W1547249381","https://openalex.org/W1580561995","https://openalex.org/W1766462434","https://openalex.org/W1923777714","https://openalex.org/W1962855533","https://openalex.org/W1968551451","https://openalex.org/W1980970643","https://openalex.org/W2026677648","https://openalex.org/W2033192122","https://openalex.org/W2054677315","https://openalex.org/W2073644805","https://openalex.org/W2104049095","https://openalex.org/W2107056658","https://openalex.org/W2113883339","https://openalex.org/W2129791756","https://openalex.org/W2133027741","https://openalex.org/W2133787446","https://openalex.org/W2136106655","https://openalex.org/W2137477111","https://openalex.org/W2140331774","https://openalex.org/W2149498546","https://openalex.org/W2157296221","https://openalex.org/W2209175679","https://openalex.org/W2323824333","https://openalex.org/W2330963129","https://openalex.org/W2735989202","https://openalex.org/W2891284720","https://openalex.org/W2915756299","https://openalex.org/W2954435381","https://openalex.org/W2963047439","https://openalex.org/W2966922270","https://openalex.org/W3011807816","https://openalex.org/W3095114851","https://openalex.org/W3099404592","https://openalex.org/W3099785526","https://openalex.org/W3112981899","https://openalex.org/W3126127564","https://openalex.org/W3154183989","https://openalex.org/W6606377225"],"related_works":["https://openalex.org/W2030819485","https://openalex.org/W1830271852","https://openalex.org/W3040431967","https://openalex.org/W2952028434","https://openalex.org/W3103983015","https://openalex.org/W3141376038","https://openalex.org/W3097797625","https://openalex.org/W3165777227","https://openalex.org/W2770136938","https://openalex.org/W1956541315","https://openalex.org/W1588437162","https://openalex.org/W2956020384","https://openalex.org/W2409109972","https://openalex.org/W3004162305","https://openalex.org/W2321706064","https://openalex.org/W1762082653","https://openalex.org/W3126797316","https://openalex.org/W3121466994","https://openalex.org/W2798664588","https://openalex.org/W2138204974"],"abstract_inverted_index":{"Abstract":[0],"We":[1,13,77,104],"study":[2],"the":[3,17,35,39,45,49,56,60,74,101,107,117,147],"problem":[4],"of":[5,19,38,44,51,89,119,146],"drift":[6,36],"estimation":[7],"for":[8,23],"two-scale":[9,57],"continuous":[10],"time":[11],"series.":[12],"set":[14],"ourselves":[15],"in":[16,48],"framework":[18],"overdamped":[20],"Langevin":[21],"equations,":[22],"which":[24],"a":[25,142],"single-scale":[26,62],"surrogate":[27],"homogenized":[28,40,61],"equation":[29,41,58,63],"exists.":[30],"In":[31],"this":[32,53],"setting,":[33],"estimating":[34],"coefficient":[37],"requires":[42],"pre-processing":[43],"data,":[46,85],"often":[47],"form":[50],"subsampling;":[52],"is":[54],"because":[55],"and":[59,80,94,114,140],"are":[64,111],"incompatible":[65],"at":[66],"small":[67],"scales,":[68],"generating":[69],"mutually":[70],"singular":[71],"measures":[72],"on":[73,100],"path":[75],"space.":[76],"avoid":[78],"subsampling":[79],"work":[81],"instead":[82],"with":[83,122,137],"filtered":[84,102,131],"found":[86],"by":[87],"application":[88],"an":[90],"appropriate":[91],"kernel":[92],"function,":[93],"compute":[95],"maximum":[96],"likelihood":[97],"estimators":[98,108],"based":[99],"process.":[103],"show":[105,128],"that":[106],"we":[109,127],"propose":[110],"asymptotically":[112],"unbiased":[113],"demonstrate":[115],"numerically":[116],"advantages":[118],"our":[120,130],"method":[121],"respect":[123],"to":[124],"subsampling.":[125],"Finally,":[126],"how":[129],"data":[132],"methodology":[133],"can":[134],"be":[135],"combined":[136],"Bayesian":[138],"techniques":[139],"provide":[141],"full":[143],"uncertainty":[144],"quantification":[145],"inference":[148],"procedure.":[149]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}