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Workshop: NeurIPS 2022 Workshop on Score-Based Methods

Score-based Denoising Diffusion with Non-Isotropic Gaussian Noise Models

Vikram Voleti · Chris Pal · Adam Oberman


Generative models based on denoising diffusion techniques have led to an unprecedented increase in the quality and diversity of imagery that is now possible to create with neural generative models. However, most contemporary state-of-the-art methods are derived from a standard isotropic Gaussian formulation. In this work we examine the situation where non-isotropic Gaussian distributions are used. We present the key mathematical derivations for creating denoising diffusion models using an underlying non-isotropic Gaussian noise model. We also provide initial experiments to help verify empirically that this more general modelling approach can also yield high-quality samples.

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