{"id":"https://openalex.org/W4407948985","doi":"https://doi.org/10.1109/cdc56724.2024.10886803","title":"A Surrogate Prediction Model for Systems Governed by Partial Differential Equations*","display_name":"A Surrogate Prediction Model for Systems Governed by Partial Differential Equations*","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407948985","doi":"https://doi.org/10.1109/cdc56724.2024.10886803"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","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/A5100751180","display_name":"Wei Kang","orcid":"https://orcid.org/0000-0001-9989-0485"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wei Kang","raw_affiliation_strings":["Faculty of Applied Mathematics, Naval Postgraduate School,Monterey,California,USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, Naval Postgraduate School,Monterey,California,USA","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101838878","display_name":"Liang Xu","orcid":"https://orcid.org/0000-0002-2610-3919"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liang Xu","raw_affiliation_strings":["Marine Meteorology Division, Naval Research Laboratory,Monterey,California,USA"],"affiliations":[{"raw_affiliation_string":"Marine Meteorology Division, Naval Research Laboratory,Monterey,California,USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112878209","display_name":"Hong Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong Zhou","raw_affiliation_strings":["Faculty of Applied Mathematics, Naval Postgraduate School,Monterey,California,USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, Naval Postgraduate School,Monterey,California,USA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100751180"],"corresponding_institution_ids":["https://openalex.org/I35364215"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2554992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1205","last_page":"1210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14351","display_name":"Statistical and Computational Modeling","score":0.4645000100135803,"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"}},"topics":[{"id":"https://openalex.org/T14351","display_name":"Statistical and Computational Modeling","score":0.4645000100135803,"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/computer-science","display_name":"Computer science","score":0.5565304160118103},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5394824743270874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45617103576660156},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3408161401748657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32860392332077026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14823833107948303}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5565304160118103},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5394824743270874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45617103576660156},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3408161401748657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32860392332077026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14823833107948303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337628","display_name":"U.S. Naval Research Laboratory","ror":"https://ror.org/04d23a975"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W639144257","https://openalex.org/W2025336149","https://openalex.org/W2034976587","https://openalex.org/W2107612715","https://openalex.org/W2155960910","https://openalex.org/W2891058491","https://openalex.org/W2963375901","https://openalex.org/W3014009018","https://openalex.org/W4226462367","https://openalex.org/W4247849404","https://openalex.org/W4247982860","https://openalex.org/W4285179069","https://openalex.org/W4396771173","https://openalex.org/W6683748406"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,48,103],"dedicated":[3],"to":[4,96,126],"the":[5,26,46,55,59,68,100,109,114,127],"real-time":[6,154],"prediction":[7,21,47,82,136,151],"of":[8,28,43,57,79],"dynamical":[9],"system":[10],"trajectories":[11],"using":[12],"sensor":[13],"data.":[14,124],"Our":[15],"approach":[16],"introduces":[17],"a":[18,34,157,162],"learning-based":[19],"surrogate":[20,81,150],"model":[22,83,152],"tailored":[23],"for":[24,67,105],"forecasting":[25,155],"state":[27],"partial":[29],"differential":[30,138],"equations":[31],"(PDEs)":[32],"within":[33],"limited":[35],"area.":[36],"Different":[37],"from":[38],"existing":[39],"learning":[40],"based":[41,50],"methods":[42],"solving":[44],"PDEs,":[45],"made":[49],"on":[51,85],"observation":[52,101],"data,":[53],"without":[54],"necessity":[56],"knowing":[58],"initial":[60],"condition":[61],"and":[62,74,90,121,145],"precise":[63],"lateral":[64],"boundary":[65],"conditions":[66],"limited-area":[69],"model,":[70],"both":[71],"in":[72,142,156],"online":[73],"offline":[75],"computations.":[76],"The":[77],"design":[78],"our":[80,149],"hinges":[84],"two":[86],"pivotal":[87],"concepts:":[88],"predictability":[89,120],"effective":[91,110],"region.":[92],"Predictability":[93],"enables":[94],"us":[95],"quantitatively":[97],"assess":[98],"whether":[99],"data":[102,132],"sufficient":[104],"accurate":[106],"prediction.":[107],"Concurrently,":[108],"region":[111],"concept":[112],"decreases":[113],"computational":[115],"burden":[116],"associated":[117],"with":[118],"determining":[119],"generating":[122],"training":[123],"Compared":[125],"conventional":[128],"two-stage":[129],"approach\u2014first":[130],"employing":[131],"assimilation":[133],"followed":[134],"by":[135],"through":[137],"equation":[139],"integration\u2014commonly":[140],"utilized":[141],"control":[143],"systems":[144],"numerical":[146],"weather":[147],"prediction,":[148],"offers":[153],"single":[158],"step,":[159],"namely,":[160],"evaluating":[161],"neural":[163],"network.":[164]},"counts_by_year":[],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}