{"id":"https://openalex.org/W2885440472","doi":"https://doi.org/10.23919/acc.2018.8431731","title":"Discrepancy Driven Adaptive Monte Carlo for Forward Uncertainty Forecasting in Nonlinear Dynamical Systems","display_name":"Discrepancy Driven Adaptive Monte Carlo for Forward Uncertainty Forecasting in Nonlinear Dynamical Systems","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2885440472","doi":"https://doi.org/10.23919/acc.2018.8431731","mag":"2885440472"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431731","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431731","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-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/A5101767237","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0001-8272-3576"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chao Yang","raw_affiliation_strings":["Graduate student of Mechanical and Aerospace Engineering, Ohio State University, Columbus, OH, USA"],"affiliations":[{"raw_affiliation_string":"Graduate student of Mechanical and Aerospace Engineering, Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073597636","display_name":"Mrinal Kumar","orcid":"https://orcid.org/0000-0001-9747-9449"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mrinal Kumar","raw_affiliation_strings":["Associate Professor with the Department of Mechanical and Aerospace Engineering, Ohio State University, Columbus, OH, USA"],"affiliations":[{"raw_affiliation_string":"Associate Professor with the Department of Mechanical and Aerospace Engineering, Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101767237"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":0.5659,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72266279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5448","last_page":"5453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"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":0.9994000196456909,"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9812999963760376,"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.7606810331344604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6230559349060059},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.6102744936943054},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6048206686973572},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.556232213973999},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3388795852661133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18884426355361938},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15774384140968323},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0973040759563446}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7606810331344604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6230559349060059},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.6102744936943054},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6048206686973572},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.556232213973999},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3388795852661133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18884426355361938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15774384140968323},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0973040759563446},{"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:10.23919/acc.2018.8431731","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431731","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W182014611","https://openalex.org/W575374134","https://openalex.org/W621546036","https://openalex.org/W1527031437","https://openalex.org/W1587348082","https://openalex.org/W1964971655","https://openalex.org/W2009104157","https://openalex.org/W2040396531","https://openalex.org/W2080374925","https://openalex.org/W2094476403","https://openalex.org/W2140262981","https://openalex.org/W2169092059","https://openalex.org/W2171993497","https://openalex.org/W2321099771","https://openalex.org/W2515132961","https://openalex.org/W2765767683","https://openalex.org/W6616579727","https://openalex.org/W6631592577","https://openalex.org/W6700338436"],"related_works":["https://openalex.org/W2102423997","https://openalex.org/W2005266888","https://openalex.org/W2804223419","https://openalex.org/W2152286766","https://openalex.org/W3124566540","https://openalex.org/W2952175522","https://openalex.org/W3101231847","https://openalex.org/W2609077557","https://openalex.org/W2071297514","https://openalex.org/W2692144030"],"abstract_inverted_index":{"Two":[0],"serious":[1],"limitations":[2],"of":[3,20,46,55,101,106,145,161,199,223,230],"the":[4,44,58,61,88,104,110,117,128,137,142,174,179,193,197,215,221,228],"widely":[5],"popular":[6],"Monte":[7],"Carlo":[8],"simulations":[9,226],"(M":[10],"CS)":[11],"for":[12],"uncertainty":[13,64],"forecasting":[14],"are":[15,124,190],"that:":[16],"i)":[17],"its":[18,85,159],"rate":[19,160],"convergence":[21,162],"is":[22,33,39,65,79,148,185,205],"slow,":[23],"especially":[24],"when":[25,176],"applied":[26],"to":[27,42,83,135],"complex":[28],"systems":[29],"where":[30],"each":[31],"simulation":[32],"computationally":[34],"expensive,":[35],"and":[36,67,91,131,168],"ii)":[37],"it":[38],"almost":[40],"impossible":[41],"hold":[43],"quality":[45],"MC":[47],"ensemble":[48,139,195],"over":[49],"time":[50],"using":[51,97],"a":[52,98,152],"fixed":[53],"number":[54,100],"simulations,":[56],"given":[57],"fact":[59],"that":[60,81],"propagated":[62,134],"state":[63],"time-varying":[66],"normally":[68],"unknown":[69],"in":[70,196],"advance.":[71],"In":[72],"this":[73],"paper,":[74],"an":[75],"adaptive":[76],"MCS":[77,107,177],"framework":[78],"developed":[80],"aims":[82],"control":[84],"performance":[86],"within":[87],"desired":[89],"upper":[90],"lower":[92,111,186],"accuracy":[93,105,112,181],"bounds":[94],"on-the-fly,":[95],"while":[96],"\u201cminimum\u201d":[99],"simulations.":[102],"When":[103],"falls":[108],"below":[109],"bound":[113],"(i.e.":[114,183],"error":[115,184],"exceeds":[116],"prescribed":[118],"threshold),":[119],"additional":[120],"\u201coptimally\u201d":[121],"selected":[122],"particles":[123,189],"sequentially":[125],"introduced":[126],"at":[127,157],"initial":[129],"time,":[130],"then":[132],"forward":[133],"join":[136],"current":[138,194],"until":[140],"reaching":[141],"required":[143,180],"level":[144,182],"accuracy.":[146],"This":[147],"done":[149],"by":[150,212],"following":[151],"two":[153],"layer":[154],"approach":[155],"targeted":[156],"improving":[158],"via":[163,220],"both":[164],"non-collapsing":[165],"(projective":[166],"distance)":[167],"space-filling":[169],"criteria":[170],"(discrepancy":[171],"metric).":[172],"On":[173],"contrary,":[175],"outperforms":[178],"than":[187],"needed),":[188],"removed":[191],"from":[192],"interest":[198],"reducing":[200],"computational":[201],"load.":[202],"Particle":[203],"removal":[204],"based":[206],"on":[207],"their":[208],"relative":[209],"weightage":[210],"obtained":[211],"numerically":[213],"solving":[214],"associated":[216],"stochastic":[217],"Liouville":[218],"equation":[219],"method":[222],"characteristics.":[224],"Numerical":[225],"illustrate":[227],"benefits":[229],"proposed":[231],"methodology.":[232]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}