This short tutorial covers the basics of diffusion models, a simple yet expressive approach to generative modeling. They've been behind a recent string of impressive results, including OpenAI's DALLE 2, Google's Imagen, and Stable Diffusion.

Errata:
At 12:39, parentheses are missing around the difference: \epsilon(x, t, y) \epsilon(x, t, \empty). See https://i.imgur.com/PhUxugm.png for corrected version.

Timestamps:
0:00 Intro
1:07 Forward process
3:07 Posterior of forward process
4:16 Reverse process
5:34 Variational lower bound
9:26 Reduced variance objective
10:27 Reverse step implementation
11:38 Conditional generation
13:45 Comparison with other deep generative models
14:34 Connection to score matching models

Special thanks to Jonathan Ho and Elmira Amirloo for feedback on this video.

Papers:
Feller, 1949: On the Theory of Stochastic Processes, with Particular Reference to Applications (https://digitalassets.lib.berkeley.ed...)
SohlDickstein et al., 2015: Deep Unsupervised Learning using Nonequilibrium Thermodynamics (https://arxiv.org/abs/1503.03585)
Ho et al., 2020: Denoising Diffusion Probabilistic Models (https://arxiv.org/abs/2006.11239)
Song & Ermon, 2019: Generative Modeling by Estimating Gradients of the Data Distribution (https://arxiv.org/abs/1907.05600)
Dhariwal & Nichol, 2021: Diffusion Models Beat GANs on Image Synthesis (https://arxiv.org/abs/2105.05233)
Nichol et al., 2021: GLIDE: Towards Photorealistic Image Generation and Editing with TextGuided Diffusion Models (https://arxiv.org/abs/2112.10741)
Saharia et al., 2021: Palette: ImagetoImage Diffusion Models (https://arxiv.org/abs/2111.05826)
Ramesh et al, 2022: Hierarchical TextConditional Image Generation with CLIP Latents (https://arxiv.org/abs/2204.06125)
Saharia et al., 2022: Photorealistic TexttoImage Diffusion Models with Deep Language Understanding (https://arxiv.org/abs/2205.11487)
Song et al., 2021: Denoising Diffusion Implicit Models (https://arxiv.org/abs/2010.02502)
Nichol & Dhariwal, 2021: Improved Denoising Diffusion Probabilistic Models (https://arxiv.org/abs/2102.09672)
Kingma et al., 2021: Variational Diffusion Models (https://arxiv.org/abs/2107.00630)
Song et al., 2021: ScoreBased Generative Modeling through Stochastic Differential Equations (https://arxiv.org/abs/2011.13456)

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