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Stable Diffusion Implementation Repo

Introduction

This repository is used to track my learnings and implementations of the Stable Diffusion algorithm. The goal of the project is to implement the Stable Diffusion algorithm and test it on a simple toy problem. The project is currently in development and is not yet at a stable state. This is more of a theoretical project to understand the Stable Diffusion algorithm and its applications.

Sources

The code is highly inspired by the notebook https://colab.research.google.com/drive/1sjy9odlSSy0RBVgMTgP7s99NXsqglsUL?usp=sharing#scrollTo=Rj17psVw7Shg

Algorithm

The training and sampling algorithm from the paper (https://arxiv.org/pdf/2006.11239.pdf) is used: img_4.png

For reference, the formula of line 4 of algorithm 2 can be derived with: img_1.png if we insert (1 - alpha_t) = beta_t and neglect the constant factor, we get the formula of line 4. The image is from [https://www.youtube.com/watch?v=HoKDTa5jHvg&t=994s]

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