2022
DOI: 10.48550/arxiv.2201.11793
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Denoising Diffusion Restoration Models

Abstract: Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the measurements. However, efficient solutions often require problem-specific supervised training to model the posterior, whereas unsupervised methods that are not problem-specific typically rely on inefficient iterative methods. This work addresses these issues by introducing D… Show more

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Cited by 26 publications
(53 citation statements)
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References 32 publications
(48 reference statements)
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“…Score-based diffusion models have been used for image editing [Meng et al, 2022, Saharia et al, 2021 and our approach to video generation might be viewed as an analogy to classical image inpainting, but in the temporal dimension. The GLIDE or Guided Language to Image Diffusion for Generation and Editing approach of uses CLIP-guided diffusion for image editing, while Denoising Diffusion Restoration Models (DDRM) Kawar et al [2022] additionally condition on a corrupted image to restore the clean image. Adversarial variants of score-based diffusion models have been used to enhance quality [Jolicoeur-Martineau et al, 2021a] or speed [Xiao et al, 2021].…”
Section: Related Workmentioning
confidence: 99%
“…Score-based diffusion models have been used for image editing [Meng et al, 2022, Saharia et al, 2021 and our approach to video generation might be viewed as an analogy to classical image inpainting, but in the temporal dimension. The GLIDE or Guided Language to Image Diffusion for Generation and Editing approach of uses CLIP-guided diffusion for image editing, while Denoising Diffusion Restoration Models (DDRM) Kawar et al [2022] additionally condition on a corrupted image to restore the clean image. Adversarial variants of score-based diffusion models have been used to enhance quality [Jolicoeur-Martineau et al, 2021a] or speed [Xiao et al, 2021].…”
Section: Related Workmentioning
confidence: 99%
“…Menick and Kalchbrenner [53] suggest a similar method based on resolution and bit-depth upscaling, although in a non-parallel way. Previously, generative models, including diffusion models, have been utilized for image deblurring [45,46,1,80], super-resolution [48,65,14,57,7,64,12], and other types of inverse problems [38,11,32,74,10,39]. While our model does effectively perform deblurring/superresolution, the main difference to these works is that instead of using a pre-existing generative model to solve the inverse problem, we do the exact opposite and create a new generative model through iteratively solving an inverse problem using a loss function that directly reverses the heat equation.…”
Section: Related Workmentioning
confidence: 99%
“…In order to match the definition of the generalized diffusion, we propose to factor the symmetric matrix W by eigenvalue-decomposition W = ŨD ŨT and subsequently W i = ŨD f (i) ŨT . We employ the memory-efficicent eigen-decompisition by Kawar et al [2022] (see Appendix D of DDRM). This leads us to the following proposition Proposition 1.…”
Section: Blur Diffusionmentioning
confidence: 99%