Model Parameterization (epsilon-prediction vs. x0-prediction)
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Denoising Diffusion Probabilistic Models, Jonathan Ho, Ajay Jain, Pieter Abbeel, 2020Advances in Neural Information Processing Systems (NeurIPS)DOI: 10.48550/arXiv.2006.11239 - Introduces the Denoising Diffusion Probabilistic Models framework and establishes the standard $\epsilon$-prediction objective.
Elucidating the Design Space of Diffusion-Based Generative Models, Tero Karras, Miika Aittala, Timo Aila, Samuli Laine, 2022Advances in Neural Information Processing Systems (NeurIPS)DOI: 10.48550/arXiv.2206.00364 - Provides a unified framework for diffusion models, comparing different parameterizations ($\epsilon$, $x_0$, $v$) and their impact on training stability and sample quality.