乐胖代购免代理版

{"id":"https://openalex.org/W4391159055","doi":"https://doi.org/10.48550/arxiv.2401.12138","title":"Gradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure","display_name":"Gradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4391159055","doi":"https://doi.org/10.48550/arxiv.2401.12138"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2401.12138","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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2401.12138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101350037","display_name":"Yuwei Geng","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuwei Geng","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100517563","display_name":"Jasdeep Singh\ufeff","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jasdeep Singh","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076382628","display_name":"Lili Ju","orcid":"https://orcid.org/0000-0002-6520-582X"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lili Ju","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081468823","display_name":"Boris Kr\u00e4mer","orcid":"https://orcid.org/0000-0002-3626-7925"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boris Kramer","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008727951","display_name":"Zhu Wang","orcid":"https://orcid.org/0000-0002-7821-8574"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhu Wang","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":84},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Physics-Informed Neural Networks for Scientific Computing","score":0.9999,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Physics-Informed Neural Networks for Scientific Computing","score":0.9999,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical Integration Methods for Differential Equations","score":0.9867,"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/T10597","display_name":"Nuclear Reactor Technology and Development","score":0.9042,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-systems","display_name":"Hamiltonian Systems","score":0.530227},{"id":"https://openalex.org/keywords/model-reduction","display_name":"Model Reduction","score":0.526203},{"id":"https://openalex.org/keywords/variational-integrators","display_name":"Variational Integrators","score":0.511128},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4776786},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.44742516}],"concepts":[{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.59406036},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5569058},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.54795194},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.50891423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5071783},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4776786},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44742516},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.44731694},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44120106},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.42823738},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.42595732},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.41042578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36130843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32048312},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30005953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27392632},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24288243},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15764743},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0910508},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2401.12138","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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2401.12138","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2401.12138","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":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":71,"referenced_works":["https://openalex.org/W1495727713","https://openalex.org/W1528546869","https://openalex.org/W1551480811","https://openalex.org/W1633869374","https://openalex.org/W1665592869","https://openalex.org/W181916277","https://openalex.org/W1965357780","https://openalex.org/W1989951672","https://openalex.org/W2003706036","https://openalex.org/W2021393861","https://openalex.org/W2026123674","https://openalex.org/W2034380464","https://openalex.org/W2034996255","https://openalex.org/W2035934750","https://openalex.org/W2059466402","https://openalex.org/W2062623397","https://openalex.org/W2085347462","https://openalex.org/W2096484999","https://openalex.org/W2098550758","https://openalex.org/W2121569150","https://openalex.org/W2127690252","https://openalex.org/W2128202699","https://openalex.org/W2141770513","https://openalex.org/W2152896489","https://openalex.org/W2165323796","https://openalex.org/W2168386575","https://openalex.org/W2172613163","https://openalex.org/W2208290710","https://openalex.org/W2295099209","https://openalex.org/W2297679915","https://openalex.org/W2332297685","https://openalex.org/W2515869736","https://openalex.org/W2542306153","https://openalex.org/W2617308343","https://openalex.org/W2902774355","https://openalex.org/W2963115123","https://openalex.org/W2963922511","https://openalex.org/W2963966702","https://openalex.org/W2969232873","https://openalex.org/W2969495309","https://openalex.org/W2976269899","https://openalex.org/W2998611001","https://openalex.org/W3006275387","https://openalex.org/W3025789774","https://openalex.org/W3098245765","https://openalex.org/W3099687355","https://openalex.org/W3118861991","https://openalex.org/W3159449607","https://openalex.org/W3174510059","https://openalex.org/W3194716994","https://openalex.org/W3205131575","https://openalex.org/W3208312654","https://openalex.org/W402518760","https://openalex.org/W4200357168","https://openalex.org/W4212960264","https://openalex.org/W4213068817","https://openalex.org/W4225926461","https://openalex.org/W4230098943","https://openalex.org/W4281695078","https://openalex.org/W4297825594","https://openalex.org/W4328051924","https://openalex.org/W4384008083","https://openalex.org/W4385208348","https://openalex.org/W4385437902","https://openalex.org/W4385965083","https://openalex.org/W4386236687","https://openalex.org/W4386534940","https://openalex.org/W4388162976","https://openalex.org/W4388187364","https://openalex.org/W4392265468","https://openalex.org/W4395484763"],"related_works":["https://openalex.org/W4392238179","https://openalex.org/W4255576661","https://openalex.org/W3164276969","https://openalex.org/W2999616507","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W2051058708","https://openalex.org/W1983207144","https://openalex.org/W154868527","https://openalex.org/W1494268238"],"abstract_inverted_index":{"Hamiltonian":[0,27,42],"Operator":[1,172],"Inference":[2,173],"has":[3],"been":[4],"introduced":[5],"in":[6,82,143,154],"[Sharma,":[7],"H.,":[8],"Wang,":[9],"Z.,":[10],"Kramer,":[11],"B.,":[12],"Physica":[13],"D:":[14],"Nonlinear":[15],"Phenomena,":[16],"431,":[17],"p.133122,":[18],"2022]":[19],"to":[20,56,72],"learn":[21],"structure-preserving":[22,97],"reduced-order":[23,114],"models":[24],"(ROMs)":[25],"for":[26,95,112],"systems.":[28],"This":[29],"approach":[30,71],"constructs":[31],"a":[32,87],"low-dimensional":[33],"model":[34],"using":[35],"only":[36],"data":[37],"and":[38,84,134,137,147,150,166],"knowledge":[39],"of":[40,51,139,169],"the":[41,48,52,58,62,92,101,113,118,131,144,148,155,162,170],"function.":[43],"Such":[44],"ROMs":[45,98],"can":[46],"keep":[47],"intrinsic":[49],"structure":[50],"system,":[53],"allowing":[54],"them":[55],"capture":[57],"physics":[59],"described":[60],"by":[61],"governing":[63],"equations.":[64],"In":[65],"this":[66,70],"work,":[67],"we":[68,120],"extend":[69],"more":[73],"general":[74],"systems":[75],"that":[76,99],"are":[77],"either":[78],"conservative":[79,145],"or":[80],"dissipative":[81,156],"energy,":[83],"which":[85],"possess":[86],"gradient":[88,102,127],"structure.":[89,103],"We":[90,104],"derive":[91,106],"optimization":[93],"problems":[94],"inferring":[96],"preserve":[100],"further":[105],"an":[107],"$a\\":[108],"priori$":[109],"error":[110],"estimate":[111],"approximation.":[115],"To":[116],"test":[117],"algorithms,":[119],"consider":[121],"semi-discretized":[122],"partial":[123],"differential":[124],"equations":[125,138,153],"with":[126],"structure,":[128],"such":[129],"as":[130],"parameterized":[132],"wave":[133],"Korteweg-de-Vries":[135],"equations,":[136],"three-dimensional":[140],"linear":[141],"elasticity":[142],"case":[146],"one-":[149],"two-dimensional":[151],"Allen-Cahn":[152],"case.":[157],"The":[158],"numerical":[159],"results":[160],"illustrate":[161],"accuracy,":[163],"structure-preservation":[164],"properties,":[165],"predictive":[167],"capabilities":[168],"gradient-preserving":[171],"ROMs.":[174]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4391159055","counts_by_year":[],"updated_date":"2024-12-04T10:18:09.723269","created_date":"2024-01-24"}