Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of computational physics Jg. 496; H. C; S. 112555
Hauptverfasser: O'Leary-Roseberry, Thomas, Chen, Peng, Villa, Umberto, Ghattas, Omar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States Elsevier 01.01.2024
ISSN:0021-9991
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
ArticleNumber 112555
Author O'Leary-Roseberry, Thomas
Ghattas, Omar
Chen, Peng
Villa, Umberto
Author_xml – sequence: 1
  givenname: Thomas
  orcidid: 0000-0002-8938-7074
  surname: O'Leary-Roseberry
  fullname: O'Leary-Roseberry, Thomas
– sequence: 2
  givenname: Peng
  surname: Chen
  fullname: Chen, Peng
– sequence: 3
  givenname: Umberto
  surname: Villa
  fullname: Villa, Umberto
– sequence: 4
  givenname: Omar
  surname: Ghattas
  fullname: Ghattas, Omar
BackLink https://www.osti.gov/biblio/2204004$$D View this record in Osti.gov
BookMark eNp9kD1PwzAQQD0UibbwA9gs9pRzEicxW1W-KiG6wGy5zrl1SOzIMUX8e1IVMTAw3XDvnU5vRibOOyTkisGCAStumkWj-0UKabZgLOWcT8gUIGWJEIKdk9kwNABQ8byaEn-HwR5UtAdM1s740GFNX_AjqJZuegwq-nBLl46iMVZbdJGaoDr89OGdjjjd290-qW2HbrDejVavjvsYrKb1723aogrOut0FOTOqHfDyZ87J28P96-oped48rlfL50RnRRmTjOu0RK6BG1BY1ZCxHDPO0VRYMqi3os4LBliwXHGhhChNqlStayV4nm8xm5Pr010_RCsHbSPqvfbOoY4yTSEHyEeoPEE6-GEIaOTIjf96F4OyrWQgj0FlI8eg8hhUnoKOJvtj9sF2Knz943wDBdGAkQ
CitedBy_id crossref_primary_10_1137_24M1670421
crossref_primary_10_1109_OJSP_2025_3597867
crossref_primary_10_1016_j_jcp_2025_113976
crossref_primary_10_1063_5_0263607
Cites_doi 10.1016/j.jcp.2018.10.045
10.1016/j.cma.2022.114778
10.1016/j.jbiomech.2015.10.007
10.1016/j.jcp.2016.12.041
10.1016/j.cma.2022.114823
10.1137/130933381
10.1137/18M1221837
10.1137/21M1466542
10.1016/j.jcp.2015.10.008
10.1137/110845598
10.1017/S0962492921000064
10.1038/s42256-021-00302-5
10.1088/0266-5611/24/4/045010
10.1137/20M131936X
10.1615/Int.J.UncertaintyQuantification.2019028753
10.1016/j.cma.2021.114181
10.1137/20M133957X
10.1137/120894877
10.1007/s10915-023-02145-1
10.1137/21M1466499
10.1002/nme.2100
10.1137/130934805
10.1137/12089586X
10.1137/090771806
10.1137/130916138
10.1111/j.1467-9868.2011.00777.x
10.1016/j.jcp.2023.112104
10.1145/3428447
10.1016/j.jcp.2019.01.047
10.1137/090780717
10.1016/j.cma.2010.12.018
10.1145/3580278
10.1016/j.jcp.2021.110114
10.1016/j.ijmecsci.2018.03.004
10.3934/ipi.2013.7.1139
10.1088/1361-6420/aa6d8e
10.1137/16M106306X
10.5802/smai-jcm.74
10.1137/120873558
10.21105/joss.00940
10.1017/S0962492920000021
10.1016/j.cma.2017.08.016
10.3934/ipi.2015.9.27
10.1016/j.jcp.2015.04.047
10.1137/21M140078X
10.1137/20M1381381
10.1137/140992564
ContentType Journal Article
DBID AAYXX
CITATION
OTOTI
DOI 10.1016/j.jcp.2023.112555
DatabaseName CrossRef
OSTI.GOV
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
ExternalDocumentID 2204004
10_1016_j_jcp_2023_112555
GroupedDBID --K
--M
-~X
.~1
0R~
1B1
1RT
1~.
1~5
29K
4.4
457
4G.
5GY
5VS
6OB
6TJ
7-5
71M
8P~
8WZ
9DU
9JN
A6W
AABNK
AAEDT
AAEDW
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AATTM
AAXKI
AAXUO
AAYFN
AAYWO
AAYXX
ABBOA
ABFNM
ABFRF
ABJNI
ABMAC
ABNEU
ABWVN
ABXDB
ACBEA
ACDAQ
ACFVG
ACGFO
ACGFS
ACLOT
ACNCT
ACNNM
ACRPL
ACVFH
ACZNC
ADBBV
ADCNI
ADEZE
ADFGL
ADIYS
ADJOM
ADMUD
ADNMO
AEBSH
AEFWE
AEIPS
AEKER
AENEX
AEUPX
AFFNX
AFJKZ
AFPUW
AFTJW
AGHFR
AGQPQ
AGUBO
AGYEJ
AHZHX
AIALX
AIEXJ
AIGII
AIIUN
AIKHN
AITUG
AIVDX
AKBMS
AKRWK
AKYEP
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
AOUOD
APXCP
ASPBG
AVWKF
AXJTR
AZFZN
BBWZM
BKOJK
BLXMC
CAG
CITATION
COF
CS3
D-I
DM4
DU5
EBS
EFBJH
EFKBS
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
GBOLZ
HLZ
HME
HMV
HVGLF
HZ~
IHE
J1W
K-O
KOM
LG5
LX9
LZ4
M37
M41
MO0
N9A
NDZJH
O-L
O9-
OAUVE
OGIMB
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RNS
ROL
RPZ
SBC
SDF
SDG
SDP
SES
SEW
SHN
SPC
SPCBC
SPD
SPG
SSQ
SSV
SSZ
T5K
T9H
TN5
UPT
UQL
WUQ
YQT
ZMT
ZU3
ZY4
~02
~G-
~HD
AACTN
ACRLP
AFKWA
AHHHB
AJOXV
AMFUW
OTOTI
RIG
ID FETCH-LOGICAL-c367t-35c27e5c05f0ae8d0314e355ef8e710db9d4610e614a59a997f2aadcda9544be3
ISICitedReferencesCount 14
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001105960900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0021-9991
IngestDate Mon Nov 04 02:34:49 EST 2024
Sat Nov 29 03:10:42 EST 2025
Tue Nov 18 22:00:22 EST 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue C
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c367t-35c27e5c05f0ae8d0314e355ef8e710db9d4610e614a59a997f2aadcda9544be3
Notes AR0001208; SC0019303; SC0021239; SC0023171
USDOE Advanced Research Projects Agency - Energy (ARPA-E)
ORCID 0000-0002-8938-7074
0000000289387074
OpenAccessLink https://www.osti.gov/biblio/2204004
ParticipantIDs osti_scitechconnect_2204004
crossref_citationtrail_10_1016_j_jcp_2023_112555
crossref_primary_10_1016_j_jcp_2023_112555
PublicationCentury 2000
PublicationDate 2024-01-00
2024-01-01
PublicationDateYYYYMMDD 2024-01-01
PublicationDate_xml – month: 01
  year: 2024
  text: 2024-01-00
PublicationDecade 2020
PublicationPlace United States
PublicationPlace_xml – name: United States
PublicationTitle Journal of computational physics
PublicationYear 2024
Publisher Elsevier
Publisher_xml – name: Elsevier
References Cui (10.1016/j.jcp.2023.112555_br0480) 2016; 304
Abadi (10.1016/j.jcp.2023.112555_br0620)
Lu (10.1016/j.jcp.2023.112555_br0430) 2022; 393
Cao (10.1016/j.jcp.2023.112555_br0550) 2023; 486
Kingma (10.1016/j.jcp.2023.112555_br0610) 2014
Wu (10.1016/j.jcp.2023.112555_br0350) 2023; 11
Nelsen (10.1016/j.jcp.2023.112555_br0410) 2021; 43
Lindgren (10.1016/j.jcp.2023.112555_br0540) 2011; 73
Baptista (10.1016/j.jcp.2023.112555_br0520)
Flath (10.1016/j.jcp.2023.112555_br0270) 2011; 33
Isaac (10.1016/j.jcp.2023.112555_br0280) 2015; 296
Martin (10.1016/j.jcp.2023.112555_br0290) 2012; 34
Zahm (10.1016/j.jcp.2023.112555_br0490)
O'Leary-Roseberry (10.1016/j.jcp.2023.112555_br0530)
Mei (10.1016/j.jcp.2023.112555_br0590) 2018; 140
Bhattacharya (10.1016/j.jcp.2023.112555_br0010) 2021; 7
Fresca (10.1016/j.jcp.2023.112555_br0020) 2022; 388
Petra (10.1016/j.jcp.2023.112555_br0300) 2014; 36
Constantine (10.1016/j.jcp.2023.112555_br0510) 2014; 36
Yu (10.1016/j.jcp.2023.112555_br0440) 2022; 393
Bui-Thanh (10.1016/j.jcp.2023.112555_br0180) 2012
Wu (10.1016/j.jcp.2023.112555_br0360) 2023; 45
Ghattas (10.1016/j.jcp.2023.112555_br0140) 2021; 30
Bui-Thanh (10.1016/j.jcp.2023.112555_br0700) 2013; 35
Raissi (10.1016/j.jcp.2023.112555_br0420) 2019; 378
Gonzalez (10.1016/j.jcp.2023.112555_br0600) 2008
Gokhale (10.1016/j.jcp.2023.112555_br0580) 2008; 24
Affagard (10.1016/j.jcp.2023.112555_br0560) 2015; 48
Chen (10.1016/j.jcp.2023.112555_br0170) 2019; 9
Alnæs (10.1016/j.jcp.2023.112555_br0670) 2015; 3
Li (10.1016/j.jcp.2023.112555_br0040) 2021
O'Leary-Roseberry (10.1016/j.jcp.2023.112555_br0080) 2022; 402
Alger (10.1016/j.jcp.2023.112555_br0150) 2020; 42
Wu (10.1016/j.jcp.2023.112555_br0370) 2023; 95
Lu (10.1016/j.jcp.2023.112555_br0060) 2021
Crestel (10.1016/j.jcp.2023.112555_br0340) 2017; 33
Chen (10.1016/j.jcp.2023.112555_br0130) 2019; 385
Brennan (10.1016/j.jcp.2023.112555_br0460) 2020; 33
Kim (10.1016/j.jcp.2023.112555_br0630) 2023
Alexanderian (10.1016/j.jcp.2023.112555_br0330) 2016; 38
Kovachki (10.1016/j.jcp.2023.112555_br0030) 2023; 24
Bashir (10.1016/j.jcp.2023.112555_br0160) 2008; 73
Martinsson (10.1016/j.jcp.2023.112555_br0690) 2020; 29
Baydin (10.1016/j.jcp.2023.112555_br0450) 2018; 18
Chen (10.1016/j.jcp.2023.112555_br0250) 2017; 327
Bui-Thanh (10.1016/j.jcp.2023.112555_br0190) 2012; 28
Balay (10.1016/j.jcp.2023.112555_br0680) 2015
Bigoni (10.1016/j.jcp.2023.112555_br0400)
Zahm (10.1016/j.jcp.2023.112555_br0500) 2020; 42
Czarnecki (10.1016/j.jcp.2023.112555_br0390) 2017; 30
Villa (10.1016/j.jcp.2023.112555_br0660) 2021; 47
Halko (10.1016/j.jcp.2023.112555_br0380) 2011; 53
Goenezen (10.1016/j.jcp.2023.112555_br0570) 2011; 200
Alexanderian (10.1016/j.jcp.2023.112555_br0110) 2017; 5
Bui-Thanh (10.1016/j.jcp.2023.112555_br0470) 2014; 2
Zhang (10.1016/j.jcp.2023.112555_br0720) 2022; 44
Chen (10.1016/j.jcp.2023.112555_br0310) 2021; 431
Villa (10.1016/j.jcp.2023.112555_br0650) 2018; 3
Chen (10.1016/j.jcp.2023.112555_br0120) 2021; 9
Beskos (10.1016/j.jcp.2023.112555_br0090) 2017; 335
Bui-Thanh (10.1016/j.jcp.2023.112555_br0230) 2013; 35
Li (10.1016/j.jcp.2023.112555_br0050) 2020
Chen (10.1016/j.jcp.2023.112555_br0260) 2019
Martin (10.1016/j.jcp.2023.112555_br0100) 2012; 34
O'Leary-Roseberry (10.1016/j.jcp.2023.112555_br0070) 2022; 388
Bui-Thanh (10.1016/j.jcp.2023.112555_br0220) 2015; 9
Alexanderian (10.1016/j.jcp.2023.112555_br0320) 2014; 36
Farrell (10.1016/j.jcp.2023.112555_br0710) 2013; 35
Bui-Thanh (10.1016/j.jcp.2023.112555_br0210) 2013; 7
Chen (10.1016/j.jcp.2023.112555_br0240) 2020
O'Leary-Roseberry (10.1016/j.jcp.2023.112555_br0640)
Bui-Thanh (10.1016/j.jcp.2023.112555_br0200) 2012; 28
References_xml – volume: 378
  start-page: 686
  year: 2019
  ident: 10.1016/j.jcp.2023.112555_br0420
  article-title: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2018.10.045
– volume: 393
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0430
  article-title: A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2022.114778
– volume: 48
  start-page: 4081
  issue: 15
  year: 2015
  ident: 10.1016/j.jcp.2023.112555_br0560
  article-title: Identification of hyperelastic properties of passive thigh muscle under compression with an inverse method from a displacement field measurement
  publication-title: J. Biomech.
  doi: 10.1016/j.jbiomech.2015.10.007
– volume: 24
  start-page: 1
  issue: 89
  year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0030
  article-title: Neural operator: learning maps between function spaces with applications to pdes
  publication-title: J. Mach. Learn. Res.
– volume: 18
  start-page: 1
  year: 2018
  ident: 10.1016/j.jcp.2023.112555_br0450
  article-title: Automatic differentiation in machine learning: A survey
  publication-title: J. Mach. Learn. Res.
– year: 2014
  ident: 10.1016/j.jcp.2023.112555_br0610
  article-title: Adam: a method for stochastic optimization
– ident: 10.1016/j.jcp.2023.112555_br0640
– volume: 335
  start-page: 327
  year: 2017
  ident: 10.1016/j.jcp.2023.112555_br0090
  article-title: Geometric MCMC for infinite-dimensional inverse problems
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2016.12.041
– volume: 393
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0440
  article-title: Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2022.114823
– volume: 36
  start-page: A2122
  issue: 5
  year: 2014
  ident: 10.1016/j.jcp.2023.112555_br0320
  article-title: A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized ℓ0-sparsification
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/130933381
– volume: 42
  start-page: A534
  issue: 1
  year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0500
  article-title: Gradient-based dimension reduction of multivariate vector-valued functions
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/18M1221837
– volume: 45
  start-page: B57
  issue: 1
  year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0360
  article-title: An efficient method for goal-oriented linear Bayesian optimal experimental design: application to optimal sensor placement
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/21M1466542
– volume: 304
  start-page: 109
  year: 2016
  ident: 10.1016/j.jcp.2023.112555_br0480
  article-title: Dimension-independent likelihood-informed MCMC
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2015.10.008
– volume: 34
  start-page: A1460
  issue: 3
  year: 2012
  ident: 10.1016/j.jcp.2023.112555_br0290
  article-title: A stochastic Newton MCMC method for large-scale statistical inverse problems with application to seismic inversion
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/110845598
– volume: 30
  start-page: 445
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0140
  article-title: Learning physics-based models from data: perspectives from inverse problems and model reduction
  publication-title: Acta Numer.
  doi: 10.1017/S0962492921000064
– year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0240
  article-title: Projected Stein variational gradient descent
– year: 2015
  ident: 10.1016/j.jcp.2023.112555_br0680
– volume: 402
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0080
  article-title: Learning high-dimensional parametric maps via reduced basis adaptive residual networks
  publication-title: Comput. Methods Appl. Mech. Eng.
– year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0060
  article-title: DeepONet: learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
  publication-title: Nat. Mach. Intell.
  doi: 10.1038/s42256-021-00302-5
– volume: 388
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0070
  article-title: Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs
  publication-title: Comput. Methods Appl. Mech. Eng.
– volume: 24
  issue: 4
  year: 2008
  ident: 10.1016/j.jcp.2023.112555_br0580
  article-title: Solution of the nonlinear elasticity imaging inverse problem: the compressible case
  publication-title: Inverse Probl.
  doi: 10.1088/0266-5611/24/4/045010
– volume: 42
  start-page: A3516
  issue: 5
  year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0150
  article-title: Tensor train construction from tensor actions, with application to compression of large high order derivative tensors
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/20M131936X
– volume: 9
  issue: 2
  year: 2019
  ident: 10.1016/j.jcp.2023.112555_br0170
  article-title: Hessian-based sampling for high-dimensional model reduction
  publication-title: Int. J. Uncertain. Quantificat.
  doi: 10.1615/Int.J.UncertaintyQuantification.2019028753
– ident: 10.1016/j.jcp.2023.112555_br0620
– volume: 388
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0020
  article-title: POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2021.114181
– volume: 43
  start-page: A3212
  issue: 5
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0410
  article-title: The random feature model for input-output maps between Banach spaces
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/20M133957X
– volume: 2
  start-page: 203
  issue: 1
  year: 2014
  ident: 10.1016/j.jcp.2023.112555_br0470
  article-title: An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation
  publication-title: SIAM/ASA J. Uncertain. Quantificat.
  doi: 10.1137/120894877
– volume: 95
  start-page: 30
  year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0370
  article-title: Derivative-informed projected neural network for large-scale Bayesian optimal experimental design
  publication-title: J. Sci. Comput.
  doi: 10.1007/s10915-023-02145-1
– volume: 11
  start-page: 235
  issue: 1
  year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0350
  article-title: A fast and scalable computational framework for large-scale and high-dimensional Bayesian optimal experimental design
  publication-title: SIAM/ASA J. Uncertain. Quantificat.
  doi: 10.1137/21M1466499
– ident: 10.1016/j.jcp.2023.112555_br0520
– volume: 73
  start-page: 844
  year: 2008
  ident: 10.1016/j.jcp.2023.112555_br0160
  article-title: Hessian-based model reduction for large-scale systems with initial condition inputs
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/nme.2100
– volume: 36
  start-page: A1525
  issue: 4
  year: 2014
  ident: 10.1016/j.jcp.2023.112555_br0300
  article-title: A computational framework for infinite-dimensional Bayesian inverse problems, part ii: stochastic Newton MCMC with application to ice sheet flow inverse problems
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/130934805
– volume: 35
  start-page: A2494
  issue: 6
  year: 2013
  ident: 10.1016/j.jcp.2023.112555_br0700
  article-title: A computational framework for infinite-dimensional Bayesian inverse problems part I: the linearized case, with application to global seismic inversion
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/12089586X
– volume: 53
  start-page: 217
  issue: 2
  year: 2011
  ident: 10.1016/j.jcp.2023.112555_br0380
  article-title: Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions
  publication-title: SIAM Rev.
  doi: 10.1137/090771806
– volume: 36
  start-page: A1500
  issue: 4
  year: 2014
  ident: 10.1016/j.jcp.2023.112555_br0510
  article-title: Active subspace methods in theory and practice: applications to Kriging surfaces
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/130916138
– ident: 10.1016/j.jcp.2023.112555_br0490
– volume: 73
  start-page: 423
  issue: 4
  year: 2011
  ident: 10.1016/j.jcp.2023.112555_br0540
  article-title: An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach
  publication-title: J. R. Stat. Soc., Ser. B, Stat. Methodol.
  doi: 10.1111/j.1467-9868.2011.00777.x
– volume: 33
  year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0460
  article-title: Greedy inference with structure-exploiting lazy maps
  publication-title: Adv. Neural Inf. Process. Syst.
– volume: 486
  year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0550
  article-title: Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2023.112104
– year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0050
  article-title: Multipole graph neural operator for parametric partial differential equations
  publication-title: Neural Inf. Process. Syst.
– ident: 10.1016/j.jcp.2023.112555_br0400
– volume: 47
  start-page: 1
  issue: 2
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0660
  article-title: hIPPYlib: an extensible software framework for large-scale inverse problems governed by PDEs; part I: deterministic inversion and linearized Bayesian inference
  publication-title: ACM Trans. Math. Softw.
  doi: 10.1145/3428447
– volume: 35
  start-page: A2494
  issue: 6
  year: 2013
  ident: 10.1016/j.jcp.2023.112555_br0230
  article-title: A computational framework for infinite-dimensional Bayesian inverse problems part I: the linearized case, with application to global seismic inversion
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/12089586X
– volume: 3
  issue: 100
  year: 2015
  ident: 10.1016/j.jcp.2023.112555_br0670
  article-title: The fenics project version 1.5
  publication-title: Arch. Numer. Softw.
– volume: 30
  year: 2017
  ident: 10.1016/j.jcp.2023.112555_br0390
  article-title: Sobolev training for neural networks
  publication-title: Adv. Neural Inf. Process. Syst.
– year: 2008
  ident: 10.1016/j.jcp.2023.112555_br0600
  article-title: A First Course in Continuum Mechanics
– volume: 385
  start-page: 163
  year: 2019
  ident: 10.1016/j.jcp.2023.112555_br0130
  article-title: Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2019.01.047
– volume: 33
  start-page: 407
  issue: 1
  year: 2011
  ident: 10.1016/j.jcp.2023.112555_br0270
  article-title: Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/090780717
– volume: 200
  start-page: 1406
  issue: 13
  year: 2011
  ident: 10.1016/j.jcp.2023.112555_br0570
  article-title: Solution of the nonlinear elasticity imaging inverse problem: the incompressible case
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2010.12.018
– year: 2023
  ident: 10.1016/j.jcp.2023.112555_br0630
  article-title: hIPPYlib-MUQ: a Bayesian inference software framework for integration of data with complex predictive models under uncertainty
  publication-title: ACM Trans. Math. Softw.
  doi: 10.1145/3580278
– volume: 431
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0310
  article-title: Optimal design of acoustic metamaterial cloaks under uncertainty
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2021.110114
– volume: 140
  start-page: 446
  year: 2018
  ident: 10.1016/j.jcp.2023.112555_br0590
  article-title: A comparative study of two constitutive models within an inverse approach to determine the spatial stiffness distribution in soft materials
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2018.03.004
– volume: 7
  start-page: 1139
  issue: 4
  year: 2013
  ident: 10.1016/j.jcp.2023.112555_br0210
  article-title: Analysis of the Hessian for inverse scattering problems. Part III: inverse medium scattering of electromagnetic waves
  publication-title: Inverse Probl. Imaging
  doi: 10.3934/ipi.2013.7.1139
– volume: 33
  issue: 7
  year: 2017
  ident: 10.1016/j.jcp.2023.112555_br0340
  article-title: A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem
  publication-title: Inverse Probl.
  doi: 10.1088/1361-6420/aa6d8e
– volume: 5
  start-page: 1166
  issue: 1
  year: 2017
  ident: 10.1016/j.jcp.2023.112555_br0110
  article-title: Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations
  publication-title: SIAM/ASA J. Uncertain. Quantificat.
  doi: 10.1137/16M106306X
– volume: 28
  issue: 5
  year: 2012
  ident: 10.1016/j.jcp.2023.112555_br0190
  article-title: Analysis of the Hessian for inverse scattering problems. Part I: inverse shape scattering of acoustic waves
  publication-title: Inverse Probl.
– volume: 7
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0010
  article-title: Model reduction and neural networks for parametric PDEs
  publication-title: SMAI J. Comput. Math.
  doi: 10.5802/smai-jcm.74
– ident: 10.1016/j.jcp.2023.112555_br0530
– volume: 35
  start-page: C369
  issue: 4
  year: 2013
  ident: 10.1016/j.jcp.2023.112555_br0710
  article-title: Automated derivation of the adjoint of high-level transient finite element programs
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/120873558
– volume: 3
  start-page: 940
  year: 2018
  ident: 10.1016/j.jcp.2023.112555_br0650
  article-title: hIPPYlib: an extensible software framework for large-scale inverse problems
  publication-title: J. Open Sour. Softw.
  doi: 10.21105/joss.00940
– volume: 28
  issue: 5
  year: 2012
  ident: 10.1016/j.jcp.2023.112555_br0200
  article-title: Analysis of the Hessian for inverse scattering problems. Part II: inverse medium scattering of acoustic waves
  publication-title: Inverse Probl.
– volume: 29
  start-page: 403
  year: 2020
  ident: 10.1016/j.jcp.2023.112555_br0690
  article-title: Randomized numerical linear algebra: foundations and algorithms
  publication-title: Acta Numer.
  doi: 10.1017/S0962492920000021
– volume: 327
  start-page: 147
  year: 2017
  ident: 10.1016/j.jcp.2023.112555_br0250
  article-title: Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2017.08.016
– volume: 34
  start-page: A1460
  issue: 3
  year: 2012
  ident: 10.1016/j.jcp.2023.112555_br0100
  article-title: A stochastic Newton mcmc method for large-scale statistical inverse problems with application to seismic inversion
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/110845598
– volume: 9
  start-page: 27
  issue: 1
  year: 2015
  ident: 10.1016/j.jcp.2023.112555_br0220
  article-title: A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors
  publication-title: Inverse Probl. Imaging
  doi: 10.3934/ipi.2015.9.27
– volume: 296
  start-page: 348
  year: 2015
  ident: 10.1016/j.jcp.2023.112555_br0280
  article-title: Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the Antarctic ice sheet
  publication-title: J. Comput. Phys.
  doi: 10.1016/j.jcp.2015.04.047
– year: 2012
  ident: 10.1016/j.jcp.2023.112555_br0180
  article-title: Extreme-scale UQ for Bayesian inverse problems governed by PDEs
– year: 2019
  ident: 10.1016/j.jcp.2023.112555_br0260
  article-title: Projected Stein variational Newton: a fast and scalable Bayesian inference method in high dimensions
  publication-title: Adv. Neural Inf. Process. Syst.
– volume: 44
  start-page: C1
  issue: 1
  year: 2022
  ident: 10.1016/j.jcp.2023.112555_br0720
  article-title: PETSc TSAdjoint: a discrete adjoint ode solver for first-order and second-order sensitivity analysis
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/21M140078X
– year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0040
  article-title: Fourier neural operator for parametric partial differential equations
– volume: 9
  start-page: 1381
  issue: 4
  year: 2021
  ident: 10.1016/j.jcp.2023.112555_br0120
  article-title: Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters
  publication-title: SIAM/ASA J. Uncertain. Quantificat.
  doi: 10.1137/20M1381381
– volume: 38
  start-page: A243
  issue: 1
  year: 2016
  ident: 10.1016/j.jcp.2023.112555_br0330
  article-title: A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/140992564
SSID ssj0008548
Score 2.5990646
SourceID osti
crossref
SourceType Open Access Repository
Enrichment Source
Index Database
StartPage 112555
Title Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning
URI https://www.osti.gov/biblio/2204004
Volume 496
WOSCitedRecordID wos001105960900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  issn: 0021-9991
  databaseCode: AIEXJ
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: false
  ssIdentifier: ssj0008548
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1NbxMxELVCyoEL34hSQD5wojLaeL31mltUigChtocW5bby2l5K1G6idInKlV_OjD82ISoVHLisImfjjTxP49nxzHuEvDKNsCMtNNNSWibqPcs0bHtsBLHtyLisqX0e8stneXhYTibqeDD4mXphlueybcurKzX_r6aGMTA2ts7-g7n7SWEAPoPR4Qpmh-tfGf4dPGTp6bxZ6DWCkBIpOMAWR3PnT9VjNtB5-gjPzpRKtHzVIVIYM4u0_4GyYxf5wS9Qesvs2n72JDjx9Q_xrfF6ESnXGDIofQCPNTZI7fqDobRj7RbhNH-tXMmXHASfeOziQ1AYDFWScPAUlUy6WV8_dKa7LjSnHV3oxXoyg4uNZEbqsln32FhCooKiV_LYIojgRmjuX7sThKTE9M3UICspz7FXqgiMwBsE25x7R3aLbHFZKPCMW-OPB5NP_X5eFiLs5_GfpLNxXyW4Mf1v0c1wBl56LVo5uU_uRjPQcYDHAzJw7UNyL75y0OjQLx-R2TVooQEtNKHlLR23tMcK7bFC4Xa6iRW6wgpdYYUmrDwmp-8PTvY_sKjBwUy-JzuWF4ZLV5isaDLtSotqBw5iVNeUDoJTWyuLjP0OojxdKK2UbLjW1litCiFqlz8hw3bWuqeE5kJkBjYUrkQhdK41l_D-qw1vdA5BI98mWVq7ykSCetRJOa9SJeK0guWucLmrsNzb5HX_k3lgZ7np5h00SAWhJfIjGywkM10Vzf_sxm93yJ0VXJ-TYbf47l6Q22bZfbtcvIyI-QUM2pQL
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Derivative-Informed+Neural+Operator%3A+An+efficient+framework+for+high-dimensional+parametric+derivative+learning&rft.jtitle=Journal+of+computational+physics&rft.au=O%27Leary-Roseberry%2C+Thomas&rft.au=Chen%2C+Peng&rft.au=Villa%2C+Umberto&rft.au=Ghattas%2C+Omar&rft.date=2024-01-01&rft.pub=Elsevier&rft.issn=0021-9991&rft.volume=496&rft.issue=C&rft_id=info:doi/10.1016%2Fj.jcp.2023.112555&rft.externalDocID=2204004
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-9991&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-9991&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-9991&client=summon