Probabilistic Numerical Methods for Partial Differential Equations and
Bayesian Inverse Problems

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"

15 / 15 papers shown

Title
The Inverse of Exact Renormalization Group Flows as Statistical Inference D. Berman Marc S. Klinger 24 15 0 21 Dec 2022
GaussED: A Probabilistic Programming Language for Sequential Experimental Design Matthew A. Fisher Onur Teymur Chris J. Oates 40 1 0 15 Oct 2021
Bayesian Numerical Methods for Nonlinear Partial Differential Equations Junyang Wang Jon Cockayne O. Chkrebtii T. Sullivan Chris J. Oates 59 19 0 22 Apr 2021
Probabilistic Numeric Convolutional Neural Networks Marc Finzi Roberto Bondesan Max Welling BDL AI4TS 31 13 0 21 Oct 2020
A Role for Symmetry in the Bayesian Solution of Differential Equations Junyang Wang Jon Cockayne Chris J. Oates 27 7 0 24 Jun 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 46 854 0 18 Jan 2019
A Modern Retrospective on Probabilistic Numerics Chris J. Oates T. Sullivan AI4CE 24 64 0 14 Jan 2019
Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yibo Yang P. Perdikaris AI4CE PINN 32 355 0 09 Nov 2018
Probabilistic Linear Solvers: A Unifying View Simon Bartels Jon Cockayne Ilse C. F. Ipsen Philipp Hennig 17 24 0 08 Oct 2018
Neural network augmented inverse problems for PDEs Jens Berg K. Nystrom 22 41 0 27 Dec 2017
Bayesian Probabilistic Numerical Methods Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 21 164 0 13 Feb 2017
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami AI4CE 21 79 0 15 Jan 2017
Inferring solutions of differential equations using noisy multi-fidelity data M. Raissi P. Perdikaris George Karniadakis AI4CE 18 286 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 23 69 0 24 Jun 2016
Mercer kernels and integrated variance experimental design: connections between Gaussian process regression and polynomial approximation Alex A. Gorodetsky Youssef M. Marzouk 36 38 0 27 Feb 2015