2020
DOI: 10.1016/j.cam.2020.112826
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Implicit sampling for hierarchical Bayesian inversion and applications in fractional multiscale diffusion models

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Cited by 45 publications
(105 citation statements)
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“…And as shown in the 'Denoising' row of Figure 3, with strong noise injected to the input, the model is able to recover objects that are almost invisible. This finding potentially connects our pretraining method with genitive models (Song et al, 2021a;Ho et al, 2020;Song & Ermon, 2019;Song et al, 2021b). We will further investigate the connections in future efforts.…”
Section: Self Comparisonsmentioning
confidence: 57%
See 1 more Smart Citation
“…And as shown in the 'Denoising' row of Figure 3, with strong noise injected to the input, the model is able to recover objects that are almost invisible. This finding potentially connects our pretraining method with genitive models (Song et al, 2021a;Ho et al, 2020;Song & Ermon, 2019;Song et al, 2021b). We will further investigate the connections in future efforts.…”
Section: Self Comparisonsmentioning
confidence: 57%
“…In the s-time super-resolution (denoted as SR s×), the image are first downsampled using bicubic interpolation for s times, and resized back to the original size using nearest-neighbor interpolation. In the denoising experiments, we take a noise scheme inspired by diffusion models (Song et al, 2021a;Ho et al, 2020) with ↓ (x) = √ γx+ √ 1 − γ , with ∼ N (0, I) and γ uniformly sampled as γ ∼ U(0, 1).…”
Section: Self Comparisonsmentioning
confidence: 99%
“…where x t = a t x 0 + σ t , and ω is a guidance weight. Sampling algorithms such as DDIM (Song et al, 2020a) and DPM-Solver (Lu et al, 2022a;Bao et al, 2022) are often adopted to speed up the sampling process of diffusion models. DDIM can also be utilized to deterministically reverse a sample x 0 back to its pure noise latent x T , enabling various image editing operations.…”
Section: Diffusion Modelsmentioning
confidence: 99%
“…There are three main hyperparameters that control the generation process. DDIM Steps controls the number of steps taken by the Denoising Diffusion Implicit Model [21] in the denoising process. More steps generally result in more realistic and coherent images, while fewer result in more disjointed surreal images.…”
Section: Text-to-imagementioning
confidence: 99%