Machine Learning of Linear Differential Equations using Gaussian Processes

10 January 2017

Papers citing "Machine Learning of Linear Differential Equations using Gaussian Processes"

14 / 14 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 128 0 0 02 Mar 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models Christopher E. Mower Haitham Bou-Ammar AI4CE 125 2 0 03 Feb 2025
Regression Trees Know Calculus Nathan Wycoff 47 0 0 22 May 2024
Stochastic Inference of Plate Bending from Heterogeneous Data: Physics-informed Gaussian Processes via Kirchhoff-Love Theory I. Kavrakov Gledson Rodrigo Tondo Guido Morgenthal AI4CE 79 1 0 21 May 2024
Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis 53 267 0 29 Mar 2017
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami AI4CE 47 80 0 15 Jan 2017
Inferring solutions of differential equations using noisy multi-fidelity data M. Raissi P. Perdikaris George Karniadakis AI4CE 41 288 0 16 Jul 2016
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 59 45 0 25 May 2016
Bayesian Numerical Homogenization H. Owhadi 62 234 0 25 Jun 2014
Manifold Gaussian Processes for Regression Roberto Calandra Jan Peters C. Rasmussen M. Deisenroth 144 272 0 24 Feb 2014
Gaussian Processes for Big Data J. Hensman Nicolò Fusi Neil D. Lawrence GP 83 1,226 0 26 Sep 2013
Structure Discovery in Nonparametric Regression through Compositional Kernel Search David Duvenaud J. Lloyd Roger C. Grosse J. Tenenbaum Zoubin Ghahramani 62 509 0 20 Feb 2013
Recursive co-kriging model for Design of Computer experiments with multiple levels of fidelity with an application to hydrodynamic Loic Le Gratiet AI4CE 111 294 0 02 Oct 2012
Linear Latent Force Models using Gaussian Processes Mauricio A. Alvarez D. Luengo Neil D. Lawrence 49 124 0 13 Jul 2011