{"id":"https://openalex.org/W2999091972","doi":"https://doi.org/10.1007/s11222-021-10008-8","title":"A piecewise deterministic Monte Carlo method for diffusion bridges","display_name":"A piecewise deterministic Monte Carlo method for diffusion bridges","publication_year":2021,"publication_date":"2021-04-20","ids":{"openalex":"https://openalex.org/W2999091972","doi":"https://doi.org/10.1007/s11222-021-10008-8","mag":"2999091972"},"language":"en","primary_location":{"id":"doi:10.1007/s11222-021-10008-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-021-10008-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-021-10008-8.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"Statistics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11222-021-10008-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051721374","display_name":"Joris Bierkens","orcid":"https://orcid.org/0000-0003-0185-5804"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Joris Bierkens","raw_affiliation_strings":["Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","Delft Institute of Applied Mathematics (DIAM), Delft University of Technology , Delft, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-0185-5804","affiliations":[{"raw_affiliation_string":"Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Institute of Applied Mathematics (DIAM), Delft University of Technology , Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080291172","display_name":"Sebastiano Grazzi","orcid":"https://orcid.org/0000-0002-2026-261X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Sebastiano Grazzi","raw_affiliation_strings":["Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","(Delft University of Technology)"],"raw_orcid":"https://orcid.org/0000-0002-2026-261X","affiliations":[{"raw_affiliation_string":"Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"(Delft University of Technology)","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039887305","display_name":"Frank van der Meulen","orcid":"https://orcid.org/0000-0001-7246-8612"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Frank van der Meulen","raw_affiliation_strings":["Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","Delft Institute of Applied Mathematics (DIAM), Delft University of Technology , Delft, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-7246-8612","affiliations":[{"raw_affiliation_string":"Delft Institute of Applied Mathematics (DIAM), Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Institute of Applied Mathematics (DIAM), Delft University of Technology , Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059537394","display_name":"Moritz Schauer","orcid":"https://orcid.org/0000-0003-3310-7915"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Moritz Schauer","raw_affiliation_strings":["Department of Mathematical Sciences, Chalmers University of Technology, G\u00f6teborg, Sweden","Department of Mathematical Sciences, University of Gothenburg, G\u00f6teborg, Sweden"],"raw_orcid":"https://orcid.org/0000-0003-3310-7915","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Chalmers University of Technology, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Gothenburg, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I881427289"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080291172"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.6427,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68048861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/algorithm","display_name":"Algorithm","score":0.563774585723877},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5395779609680176},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.532515823841095},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.522052526473999},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.5071210861206055},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4891086220741272},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.48271986842155457},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.48119789361953735},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.4744756519794464},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.43986576795578003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43471649289131165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4342530071735382},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42272546887397766},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.4220176935195923},{"id":"https://openalex.org/keywords/brownian-bridge","display_name":"Brownian bridge","score":0.4160436689853668},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3955577611923218},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11558330059051514},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11524203419685364},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.10170972347259521},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06327104568481445}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.563774585723877},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5395779609680176},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.532515823841095},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.522052526473999},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.5071210861206055},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4891086220741272},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.48271986842155457},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.48119789361953735},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.4744756519794464},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.43986576795578003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43471649289131165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4342530071735382},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42272546887397766},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.4220176935195923},{"id":"https://openalex.org/C78651780","wikidata":"https://www.wikidata.org/wiki/Q628309","display_name":"Brownian bridge","level":3,"score":0.4160436689853668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3955577611923218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11558330059051514},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11524203419685364},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.10170972347259521},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06327104568481445},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11222-021-10008-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-021-10008-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-021-10008-8.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"Statistics and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.05889","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.05889","pdf_url":"https://arxiv.org/pdf/2001.05889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"mag:2999091972","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2001.05889","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:research.chalmers.se:523670","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/523670","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"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":"doi:10.48550/arxiv.2001.05889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.05889","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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-journal"}],"best_oa_location":{"id":"doi:10.1007/s11222-021-10008-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-021-10008-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-021-10008-8.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"Statistics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G1593155373","display_name":"STAR AiO 2","funder_award_id":"613.009.034c","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G4101730419","display_name":"Zig-Zagging through Computational Barriers","funder_award_id":"016.Vidi.189.043","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2999091972.pdf","grobid_xml":"https://content.openalex.org/works/W2999091972.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1580561995","https://openalex.org/W1583323312","https://openalex.org/W1963921091","https://openalex.org/W1976625337","https://openalex.org/W1981369361","https://openalex.org/W1983452151","https://openalex.org/W2015510160","https://openalex.org/W2029164135","https://openalex.org/W2059448777","https://openalex.org/W2088413985","https://openalex.org/W2090251478","https://openalex.org/W2143706916","https://openalex.org/W2160018289","https://openalex.org/W2436131410","https://openalex.org/W2473295534","https://openalex.org/W2557207432","https://openalex.org/W2572702041","https://openalex.org/W2611926905","https://openalex.org/W2733996473","https://openalex.org/W2798055149","https://openalex.org/W2808618339","https://openalex.org/W2884603988","https://openalex.org/W2888188110","https://openalex.org/W2894906643","https://openalex.org/W2925142367","https://openalex.org/W2951601728","https://openalex.org/W2962703949","https://openalex.org/W2963561977","https://openalex.org/W2963977107","https://openalex.org/W3037545546","https://openalex.org/W3100710971","https://openalex.org/W3102719177","https://openalex.org/W3103116893","https://openalex.org/W3104146538","https://openalex.org/W3135678003","https://openalex.org/W3200586981","https://openalex.org/W4229928878","https://openalex.org/W4247619688","https://openalex.org/W4388297583","https://openalex.org/W6611460776","https://openalex.org/W6634968766","https://openalex.org/W6680164934","https://openalex.org/W6950172393"],"related_works":["https://openalex.org/W3155936924","https://openalex.org/W2963196664","https://openalex.org/W3104370808","https://openalex.org/W3212396095","https://openalex.org/W3135584575","https://openalex.org/W3114466450","https://openalex.org/W2770629397","https://openalex.org/W3097691419","https://openalex.org/W3133032466","https://openalex.org/W2133370828","https://openalex.org/W2160018289","https://openalex.org/W1545617076","https://openalex.org/W2128032727","https://openalex.org/W2596518761","https://openalex.org/W2026029549","https://openalex.org/W3136073619","https://openalex.org/W3200586981","https://openalex.org/W2922634118","https://openalex.org/W1866173067","https://openalex.org/W2784643590"],"abstract_inverted_index":{"Abstract":[0],"We":[1,108],"introduce":[2],"the":[3,6,10,38,47,58,70,73,78,85,90,94,98,103,106,110,113],"use":[4,71],"of":[5,12,41,72,93,105,112,119],"Zig-Zag":[7,20,64,79],"sampler":[8,21,80],"to":[9,37,83,101],"problem":[11],"sampling":[13,25],"conditional":[14],"diffusion":[15,48],"processes":[16],"(diffusion":[17],"bridges).":[18],"The":[19,55],"is":[22,69],"a":[23,29,42,51,63,117],"rejection-free":[24],"scheme":[26],"based":[27],"on":[28],"non-reversible":[30],"continuous":[31],"piecewise":[32],"deterministic":[33],"Markov":[34],"process.":[35],"Similar":[36],"L\u00e9vy\u2013Ciesielski":[39],"construction":[40],"Brownian":[43],"motion,":[44],"we":[45],"expand":[46],"path":[49],"in":[50,116],"truncated":[52],"Faber\u2013Schauder":[53],"basis.":[54],"coefficients":[56,95],"within":[57],"basis":[59],"are":[60],"sampled":[61],"using":[62],"sampler.":[65],"A":[66],"key":[67],"innovation":[68],"fully":[74],"local":[75],"algorithm":[76],"for":[77],"that":[81],"allows":[82],"exploit":[84],"sparsity":[86],"structure":[87],"implied":[88],"by":[89,97],"dependency":[91],"graph":[92],"and":[96],"subsampling":[99],"technique":[100],"reduce":[102],"complexity":[104],"algorithm.":[107],"illustrate":[109],"performance":[111],"proposed":[114],"methods":[115],"number":[118],"examples.":[120]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}