Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games

11 March 2015

Papers citing "Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games"

34 / 34 papers shown

Title
Dilated convolution neural operator for multiscale partial differential equations Bo Xu Xinliang Liu Lei Zhang AI4CE 61 4 0 16 Jul 2024
Asymptotic properties of Vecchia approximation for Gaussian processes Myeongjong Kang Florian Schafer J. Guinness Matthias Katzfuss 80 6 0 29 Jan 2024
MgNO: Efficient Parameterization of Linear Operators via Multigrid Juncai He Xinliang Liu Jinchao Xu 83 25 0 16 Oct 2023
Physics-Informed Computer Vision: A Review and Perspectives C. Banerjee Kien Nguyen Clinton Fookes G. Karniadakis PINN AI4CE 90 33 0 29 May 2023
Kernel Methods are Competitive for Operator Learning Pau Batlle Matthieu Darcy Bamdad Hosseini H. Owhadi 91 41 0 26 Apr 2023
Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes Yifan Chen H. Owhadi F. Schafer 96 31 0 03 Apr 2023
Mitigating spectral bias for the multiscale operator learning Xinliang Liu Bo Xu Shuhao Cao Lei Zhang AI4CE 120 31 0 19 Oct 2022
Gaussian Process Hydrodynamics H. Owhadi 83 1 0 21 Sep 2022
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces Alexander Heinlein K. Smetana 25 9 0 12 Jul 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 90 21 0 23 Apr 2022
Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs Xi-An Li Z. Xu Lei Zhang 60 28 0 10 Dec 2021
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations Nicholas Kramer Jonathan Schmidt Philipp Hennig 73 19 0 22 Oct 2021
Computational Graph Completion H. Owhadi 82 25 0 20 Oct 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces George Stepaniants 86 19 0 26 Aug 2021
Samplets: A new paradigm for data compression Helmut Harbrecht Michael Multerer 25 0 0 07 Jul 2021
Solving and Learning Nonlinear PDEs with Gaussian Processes Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 82 157 0 24 Mar 2021
Chordal Decomposition for Spectral Coarsening Honglin Chen Hsueh-Ti Derek Liu Alec Jacobson David I. W. Levin 32 12 0 04 Sep 2020
Probabilistic Gradients for Fast Calibration of Differential Equation Models Jon Cockayne Andrew B. Duncan 46 5 0 03 Sep 2020
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks H. Owhadi 153 14 0 10 Aug 2020
Solving inverse-PDE problems with physics-aware neural networks Samira Pakravan Pouria A. Mistani M. Aragon-Calvo Frédéric Gibou AI4CE 42 54 0 10 Jan 2020
Kernel Mode Decomposition and programmable/interpretable regression networks H. Owhadi C. Scovel G. Yoo 95 5 0 19 Jul 2019
Comments on the article "A Bayesian conjugate gradient method" T. Sullivan 13 0 0 24 Jun 2019
A Modern Retrospective on Probabilistic Numerics Chris J. Oates T. Sullivan AI4CE 101 64 0 14 Jan 2019
Physics-Information-Aided Kriging: Constructing Covariance Functions using Stochastic Simulation Models Xiu Yang G. Tartakovsky A. Tartakovsky 47 2 0 10 Sep 2018
Kernel Flows: from learning kernels from data into the abyss H. Owhadi G. Yoo 110 90 0 13 Aug 2018
De-noising by thresholding operator adapted wavelets G. Yoo H. Owhadi 37 7 0 28 May 2018
A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition T. Hou De Huang K. Lam Ziyun Zhang 20 6 0 10 Apr 2018
Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis H. Owhadi C. Scovel 76 28 0 31 Mar 2017
Bayesian Probabilistic Numerical Methods Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 106 166 0 13 Feb 2017
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami AI4CE 72 80 0 15 Jan 2017
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients H. Owhadi Lei Zhang AI4CE 72 71 0 24 Jun 2016
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 82 45 0 25 May 2016
Towards Machine Wald H. Owhadi C. Scovel TPM 77 42 0 10 Aug 2015
Bayesian Numerical Homogenization H. Owhadi 109 235 0 25 Jun 2014