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Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems

25 May 2016

Papers citing "Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems"

23 / 23 papers shown

Title
The Inverse of Exact Renormalization Group Flows as Statistical Inference D. Berman Marc S. Klinger 80 16 0 21 Dec 2022
GaussED: A Probabilistic Programming Language for Sequential Experimental Design Matthew A. Fisher Onur Teymur Chris J. Oates 87 1 0 15 Oct 2021
Bayesian Numerical Methods for Nonlinear Partial Differential Equations Junyang Wang Jon Cockayne O. Chkrebtii T. Sullivan Chris J. Oates 111 19 0 22 Apr 2021
Probabilistic Numeric Convolutional Neural Networks Marc Finzi Roberto Bondesan Max Welling BDL AI4TS 76 13 0 21 Oct 2020
Convergence Guarantees for Gaussian Process Means With Misspecified Likelihoods and Smoothness George Wynne F. Briol Mark Girolami 80 56 0 29 Jan 2020
Contributed Discussion of "A Bayesian Conjugate Gradient Method" François‐Xavier Briol F. DiazDelaO P. O. Hristov 11 3 0 08 Aug 2019
A Role for Symmetry in the Bayesian Solution of Differential Equations Junyang Wang Jon Cockayne Chris J. Oates 69 7 0 24 Jun 2019
Fast and Robust Shortest Paths on Manifolds Learned from Data Georgios Arvanitidis Søren Hauberg Philipp Hennig Michael Schober 66 37 0 22 Jan 2019
Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data Yinhao Zhu N. Zabaras P. Koutsourelakis P. Perdikaris PINN AI4CE 124 874 0 18 Jan 2019
A Modern Retrospective on Probabilistic Numerics Chris J. Oates T. Sullivan AI4CE 101 64 0 14 Jan 2019
Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yibo Yang P. Perdikaris AI4CE PINN 142 361 0 09 Nov 2018
Probabilistic Linear Solvers: A Unifying View Simon Bartels Jon Cockayne Ilse C. F. Ipsen Philipp Hennig 83 24 0 08 Oct 2018
De-noising by thresholding operator adapted wavelets G. Yoo H. Owhadi 35 7 0 28 May 2018
Beyond black-boxes in Bayesian inverse problems and model validation: applications in solid mechanics of elastography L. Bruder P. Koutsourelakis MedIm AI4CE 30 9 0 02 Mar 2018
A Bayesian Conjugate Gradient Method Jon Cockayne Chris J. Oates Ilse C. F. Ipsen Mark Girolami 66 27 0 16 Jan 2018
Neural network augmented inverse problems for PDEs Jens Berg K. Nystrom 94 41 0 27 Dec 2017
Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis H. Owhadi C. Scovel 68 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
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 83 553 0 10 Jan 2017
Comments on "Bayesian Solution Uncertainty Quantification for Differential Equations" by Chkrebtii, Campbell, Calderhead & Girolami François‐Xavier Briol Jon Cockayne Onur Teymur 41 5 0 21 Oct 2016
Inferring solutions of differential equations using noisy multi-fidelity data M. Raissi P. Perdikaris George Karniadakis AI4CE 69 291 0 16 Jul 2016
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