This is the eigth lecture in the Probabilistic ML class of Prof. Dr. Philipp Hennig in the Summer Term 2023 at the University of Tübingen. Contents: * Gaussian Processes (from a functional programming perspective) * positive definite (Mercer) kernels The slides for this course are available at https://github.com/philipphennig/Probabilistic_ML © Philipp Hennig / University of Tübingen, 2023 CC BY-NC-SA 4.0