https://github.com/mizuhoaoki/gaussian_process

gaussian process examples
https://github.com/mizuhoaoki/gaussian_process

bayesian-optimization gaussian-processes path-following pid pid-control python

Last synced: 3 months ago
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gaussian process examples

• Host: GitHub
• URL: https://github.com/mizuhoaoki/gaussian_process
• Owner: MizuhoAOKI
• License: mit
• Created: 2024-05-29T14:19:39.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2025-07-01T05:51:33.000Z (6 months ago)
• Last Synced: 2025-07-01T06:32:24.398Z (6 months ago)
• Topics: bayesian-optimization, gaussian-processes, path-following, pid, pid-control, python
• Language: Jupyter Notebook
• Homepage:
• Size: 4.77 MB
• Stars: 24
• Watchers: 1
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.txt

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README

          
[![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](https://opensource.org/licenses/MIT)

[![Rye](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/astral-sh/rye/main/artwork/badge.json)](https://rye.astral.sh)

# Gaussian Process

## Dependency

- [python](https://www.python.org/)

  - version 3.10 or higher is recommended.

- [rye](https://rye.astral.sh/)

  - seting up python environment easily and safely.

  - only `numpy`, `matplotlib`, `notebook` are needed to run all scripts in this repository.

## Setup

```sh

git clone https://github.com/MizuhoAOKI/gaussian_process.git

cd gaussian_process

rye sync

```

## Usage

### Gaussian Process Regression

```sh

cd gaussian_process

rye run jupyter notebook notebooks/gp_regression_1d.ipynb

```



```sh

cd gaussian_process

rye run jupyter notebook notebooks/gp_regression_2d.ipynb

```



### Bayesian Optimization

```sh

cd gaussian_process

rye run jupyter notebook notebooks/bayesian_optimization_1d.ipynb

```

https://github.com/MizuhoAOKI/gaussian_process/assets/63337525/36b2d534-8d9f-4a5e-b26d-dc41e0032590

```sh

cd gaussian_process

rye run jupyter notebook notebooks/bayesian_optimization_2d.ipynb

```

https://github.com/user-attachments/assets/6e01d71f-f5d6-4ca8-90a3-6792bac1da56

```sh

cd gaussian_process

rye run jupyter notebook notebooks/bayesian_optimization_path_tracking.ipynb

```

https://github.com/user-attachments/assets/6d2cbb48-3d44-46c5-ba76-3fc29aa1ca1d

## References

Great textbooks to learn Gaussian Process:

- [持橋大地, 大羽成征 (2019). ガウス過程と機械学習. 講談社（MLP機械学習プロフェッショナルシリーズ）](https://www.kodansha.co.jp/book/products/0000147677)

- [Rasmussen, C. E., & Williams, C. K. I. (2006). *Gaussian Processes for Machine Learning*. MIT Press](https://gaussianprocess.org/gpml/)

- [Bishop, C. M. (2006). *Pattern Recognition and Machine Learning*. Springer (PDF via Microsoft Research)](https://www.microsoft.com/en-us/research/wp-content/uploads/2006/01/Bishop-Pattern-Recognition-and-Machine-Learning-2006.pdf)