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https://github.com/marvinpfoertner/linpde-gp

Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"
https://github.com/marvinpfoertner/linpde-gp

collocation-method finite-element-method galerkin-method gaussian-processes partial-differential-equations probabilistic-numerics

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Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"

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# LinPDE-GP: Linear PDE Solvers based on GP Regression

Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"

## Getting Started

### Cloning the Repository

This repository includes Git submodules, so it is best cloned via

```shell
git clone --recurse-submodules git@github.com:marvinpfoertner/linpde-gp.git
```

If you forgot the `--recurse-submodules` flag when cloning, simply run

```shell
git submodule update --init --recursive
```

inside the repository.

### Installing a Full Development Environment

```shell
cd path/to/linpde-gp
pip install -r dev-requirements.txt
```

## Citation

If you use this software, please cite our paper.

```bibtex
@misc{Pfoertner2022LinPDEGP,
author = {Pf\"ortner, Marvin and Steinwart, Ingo and Hennig, Philipp and Wenger, Jonathan},
title = {Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers},
year = {2022},
publisher = {arXiv},
doi = {10.48550/arxiv.2212.12474},
url = {https://arxiv.org/abs/2212.12474}
}
```