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Build our Diffusion Model From Scratch and Understand the math

  • The article describes how to build a diffusion model from scratch and understand the math behind it.
  • The diffusion model is helpful in image generation and is based on a posterior distribution that represents the diffusion process.
  • The article explains how to derive q(x_t-1|x_t) and q(x_t-1|x_t,x_0) distributions and makes use of the Evidence Lower Bound (ELBO) to maximize the likelihood function.
  • The article also explains how to use the reparameterization trick to compute the derivative and perform backpropagation.
  • Code snippets are provided to illustrate the steps involved in building the diffusion model, creating the UNet model, and calculating the loss function.
  • The author acknowledges the contributions of the original paper authors Jonathan Ho, Ajay Jain, and Pieter Abbeel, and other researchers whose work this paper builds upon.
  • The author also acknowledges Lil Log for her helpful blog on the mathematics involved in the diffusion model.
  • The article cautions that there may be inaccuracies and encourages feedback and corrections from readers.
  • Overall, the article provides a detailed explanation of the mathematics involved in building a diffusion model from scratch.
  • The article also provides code snippets to illustrate the various steps involved in building the model and the UNet model.

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