This website is an unofficial, responsive digital version converted from the open-access monograph manuscript The Principles of Diffusion Models (arXiv:2510.21890) by Chieh-Hsin Lai et al. All original content and copyright belong to the respective authors and publisher.
The Principles of Diffusion Models
About This Book
This book focuses on the principles that have shaped the development of diffusion models, tracing their origins and showing how different formulations arise from common mathematical ideas.
Diffusion modeling begins by specifying a forward corruption process that gradually turns data into noise. This forward process links the data distribution to a simple noise distribution by defining a continuous family of intermediate distributions. The core objective of a diffusion model is to construct another process that runs in the opposite direction, transforming noise into data while recovering the same intermediate distributions defined by the forward corruption process.