Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse
Problems

Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems

15 January 2017

Papers citing "Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems"

12 / 12 papers shown

Title
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 48 0 0 02 Mar 2025
Physics-Informed Variational State-Space Gaussian Processes Oliver Hamelijnck Arno Solin Theodoros Damoulas 33 0 0 20 Sep 2024
Gaussian processes for Bayesian inverse problems associated with linear partial differential equations Tianming Bai A. Teckentrup K. Zygalakis 35 8 0 17 Jul 2023
Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs Pau Batlle Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 34 17 0 08 May 2023
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators T. Matsumoto T. Sullivan 38 3 0 05 May 2023
Introduction To Gaussian Process Regression In Bayesian Inverse Problems, With New ResultsOn Experimental Design For Weighted Error Measures T. Helin Andrew M. Stuart A. Teckentrup K. Zygalakis 34 4 0 09 Feb 2023
Parameter Inference based on Gaussian Processes Informed by Nonlinear Partial Differential Equations Zhao-Xia Li Shih-Feng Yang Jeff Wu 11 2 0 22 Dec 2022
Stochastic Processes Under Linear Differential Constraints : Application to Gaussian Process Regression for the 3 Dimensional Free Space Wave Equation Iain Henderson P. Noble O. Roustant 21 1 0 23 Nov 2021
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations Nicholas Kramer Jonathan Schmidt Philipp Hennig 32 18 0 22 Oct 2021
Solving and Learning Nonlinear PDEs with Gaussian Processes Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 29 153 0 24 Mar 2021
A Modern Retrospective on Probabilistic Numerics Chris J. Oates T. Sullivan AI4CE 24 64 0 14 Jan 2019
Bayesian Probabilistic Numerical Methods Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 24 164 0 13 Feb 2017