全てgoogle colabで動作することを確認しています．

• Numpy実装
• Pytorch実装
• Cython実装

• Notebook

• Notebook
• C. E. Rasmussen and C. K. I. Williams, "Gaussian Processes for Machine Learning," The MIT Press, 2006

• Notebook
• Mauricio A. Alvarez, Lorenzo Rosasco, Neil D. Lawrence, "Kernels for Vector-Valued Functions: a Review"　https://arxiv.org/pdf/1106.6251.pdf

• numpy実装
• pytorch実装
• Joaquin Quinonero-Candela, Carl Edward Rasmussen, "A Unifying View of Sparse Approximate Gaussian Process Regression," Journal of Machine Learning Research, pp. 1939–1959, 2005

• Notebook
• Titsias, Michalis. "Variational learning of inducing variables in sparse Gaussian processes." Artificial Intelligence and Statistics. 2009

• Notebook
• 状態（入力）x，アクション（出力）y，と報酬rから，変分ベイズを使ってGPの補助入力点とハイパーパラメータを学習します

• Notebook
• Stefan Klanke, Helge Ritter, "Variants of unsupervised kernel regression: General cost functions", Neurocomputing, Vol. 70, Issues 7–9, pp. 1289-1303, 2007

• 勾配法で推定
• MCMCで推定
• Hamiltonian MCMCで推定
• Lawrence, Neil D. "Gaussian process latent variable models for visualisation of high dimensional data," Advances in neural information processing systems, 2004

• Notebook
• Wang Jack, Aaron Hertzmann, and David J. Fleet, "Gaussian process dynamical models," Advances in neural information processing systems, 2006

• Notebook
• Andrew Gordon Wilson, and Ryan Prescott Adams, "Gaussian process kernels for pattern discovery and extrapolation," International conference on machine learning, 2013

• Notebook
• 深層学習に対応するカーネルを使ったガウス過程
• Jaehoon Lee, Yasaman Bahri, Roman Novak, Samuel S. Schoenholz, Jeffrey Pennington, Jascha Sohl-Dickstein, "Deep Neural Networks as Gaussian Processes", ICLR, 2018

• 単純な方法：Notebook
• 変分ベイズで畳み込みのパッチを学習する方法：Notebook
• Mark van der Wilk, Carl Edward Rasmussen, James Hensman, "Convolutional Gaussian Processes", NIPS, 2017