miguelgondu / examples_in_thesis

Some examples/scripts for plots in my dissertation

Some examples of my thesis

This repository contains examples that are used in my dissertation.

Prerequisites

Install the requirements to run these scripts by running

pip install -r requirements

Chapter 3

In Chap_3/running_example.py you can find an example of Gaussian Process Regression on the function $f(x) = x\sin(x)$. It is trained using botorch's SingleTaskGP.

This example allows us to show how a GPR returns to the prior away from the support:

Chapter 6

In Chap_6_and_7/vae.py you can find an implementation of a Variational Autoencoder (VAE), trained only on the digits 1 of MNIST. It illustrates how a VAE lacks proper uncertainty quantification, since the variance shown in latent.jpg is low away from the support.

Chapter 7

Chap_6_and_7/vae_geometric.py shows how we can modify a VAE to have better uncertainty quantification.