The Principles of Diffusion Models
Chieh-Hsin Lai et al.
arXiv:2510.21890
In short
A book-length account of diffusion models that unifies three views: removing noise step by step, following the gradient of the data distribution, and flowing smoothly from noise to data. It then covers guidance, fast samplers and flow-map models.
Why it matters
One coherent mental model for the math behind image, video and diffusion language models.
Read first
The 3 Field Guide ideas this paper leans on.
Starting from scratch? The full route 9 ideas · basics first
- Machine Learning ✓ understood
Building systems that learn patterns from data instead of following hand-written rules, getting better at a task as they see more examples.
- Neural Network ✓ understood
A computational model inspired by biological neural networks, consisting of interconnected nodes (neurons) organized in layers that process information through weighted connections.
- Diffusion Model · read first ✓ understood
A generative model that learns to denoise data, achieving state-of-the-art image generation (Stable Diffusion, DALL-E 2).
- Entropy ✓ understood
A measure of uncertainty or randomness in a random variable from information theory.
- KL Divergence ✓ understood
Kullback-Leibler divergence - a measure of how one probability distribution differs from another.
- Unsupervised Learning ✓ understood
Learning from unlabeled data to discover hidden patterns, structures, or relationships without explicit target outputs.
- Autoencoder ✓ understood
An unsupervised neural network that learns to compress data into a latent representation and reconstruct it, useful for dimensionality reduction.
- Variational Autoencoder · read first ✓ understood
A generative model that learns a probabilistic latent space, allowing sampling of new data points similar to training data.
- Latent Variable · read first ✓ understood
Hidden or unobserved variables in a model that influence observed data but aren't directly measured.
In the frontier
- Rank
- #79 of 100
- Citations
- 69
- as of Aug 9, 2026
- Published
- Oct 2025
Topics: Diffusion LMs and decoding , Model architecture , Efficiency and serving
Selection: 1kpapers.com by Together AI, most-cited as of Aug 9, 2026