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1503.03467
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Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games
11 March 2015
H. Owhadi
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Papers citing
"Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games"
35 / 35 papers shown
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Asymptotic properties of Vecchia approximation for Gaussian processes
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MgNO: Efficient Parameterization of Linear Operators via Multigrid
International Conference on Learning Representations (ICLR), 2023
Juncai He
Xinliang Liu
Jinchao Xu
434
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16 Oct 2023
Physics-Informed Computer Vision: A Review and Perspectives
ACM Computing Surveys (ACM Comput. Surv.), 2023
C. Banerjee
Kien Nguyen
Clinton Fookes
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PINN
AI4CE
462
68
0
29 May 2023
Kernel Methods are Competitive for Operator Learning
Journal of Computational Physics (JCP), 2023
Pau Batlle
Matthieu Darcy
Bamdad Hosseini
H. Owhadi
462
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26 Apr 2023
Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes
Mathematics of Computation (Math. Comp.), 2023
Yifan Chen
H. Owhadi
F. Schafer
404
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03 Apr 2023
Mitigating spectral bias for the multiscale operator learning
Journal of Computational Physics (JCP), 2022
Xinliang Liu
Bo Xu
Shuhao Cao
Lei Zhang
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416
56
0
19 Oct 2022
Gaussian Process Hydrodynamics
Applied Mathematics and Mechanics (AMM), 2022
H. Owhadi
314
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21 Sep 2022
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces
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K. Smetana
85
11
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12 Jul 2022
Competitive Physics Informed Networks
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Qi Zeng
Yash Kothari
Spencer H. Bryngelson
F. Schafer
PINN
249
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0
23 Apr 2022
Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs
Xi-An Li
Z. Xu
Lei Zhang
273
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0
10 Dec 2021
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations
International Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Nicholas Kramer
Jonathan Schmidt
Philipp Hennig
341
20
0
22 Oct 2021
Computational Graph Completion
Research in the Mathematical Sciences (Res. Math. Sci.), 2021
H. Owhadi
307
36
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20 Oct 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces
Journal of machine learning research (JMLR), 2021
George Stepaniants
316
25
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26 Aug 2021
Samplets: A new paradigm for data compression
Helmut Harbrecht
Michael Multerer
314
0
0
07 Jul 2021
Solving and Learning Nonlinear PDEs with Gaussian Processes
Journal of Computational Physics (JCP), 2021
Yifan Chen
Bamdad Hosseini
H. Owhadi
Andrew M. Stuart
334
212
0
24 Mar 2021
Chordal Decomposition for Spectral Coarsening
ACM Transactions on Graphics (TOG), 2020
Honglin Chen
Hsueh-Ti Derek Liu
Alec Jacobson
David I. W. Levin
188
13
0
04 Sep 2020
Probabilistic Gradients for Fast Calibration of Differential Equation Models
Jon Cockayne
Andrew B. Duncan
243
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0
03 Sep 2020
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks
H. Owhadi
474
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10 Aug 2020
Solving inverse-PDE problems with physics-aware neural networks
Journal of Computational Physics (JCP), 2020
Samira Pakravan
Pouria A. Mistani
M. Aragon-Calvo
Frédéric Gibou
AI4CE
267
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0
10 Jan 2020
Kernel Mode Decomposition and programmable/interpretable regression networks
H. Owhadi
C. Scovel
G. Yoo
306
5
0
19 Jul 2019
Comments on the article "A Bayesian conjugate gradient method"
T. Sullivan
80
0
0
24 Jun 2019
A Modern Retrospective on Probabilistic Numerics
Chris J. Oates
T. Sullivan
AI4CE
360
70
0
14 Jan 2019
Physics-Information-Aided Kriging: Constructing Covariance Functions using Stochastic Simulation Models
Xiu Yang
G. Tartakovsky
A. Tartakovsky
170
2
0
10 Sep 2018
Kernel Flows: from learning kernels from data into the abyss
H. Owhadi
G. Yoo
253
97
0
13 Aug 2018
De-noising by thresholding operator adapted wavelets
G. Yoo
H. Owhadi
191
8
0
28 May 2018
A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition
Daniel Leibovici
De Huang
K. Lam
Ziyun Zhang
178
7
0
10 Apr 2018
Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis
H. Owhadi
C. Scovel
247
28
0
31 Mar 2017
Bayesian Probabilistic Numerical Methods
SIAM Review (SIAM Rev.), 2017
Jon Cockayne
Chris J. Oates
T. Sullivan
Mark Girolami
380
177
0
13 Feb 2017
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems
Jon Cockayne
Chris J. Oates
T. Sullivan
Mark Girolami
AI4CE
210
83
0
15 Jan 2017
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients
Journal of Computational Physics (JCP), 2016
H. Owhadi
Lei Zhang
AI4CE
241
75
0
24 Jun 2016
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems
Jon Cockayne
Chris J. Oates
T. Sullivan
Mark Girolami
368
46
0
25 May 2016
Towards Machine Wald
H. Owhadi
C. Scovel
TPM
381
42
0
10 Aug 2015
Bayesian Numerical Homogenization
Multiscale Modeling & simulation (MMS), 2014
H. Owhadi
381
250
0
25 Jun 2014
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