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Differentiable Gaussianization Layers for Inverse Problems Regularized by Deep Generative Models

ICLR 2023 · Image generation › Fast diffusion sampling · approach: Diffusion posterior sampling · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Gaussianization layers (ICA + 1D Gaussianization) to latent reparameterizationStyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=20 dBPSNR: 27.99 vs 26.93 sphericalHelped
Add Gaussianization layers to latent reparameterizationStyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=10 dBPSNR: 25.48 vs 22.78 sphericalHelped
Add Gaussianization layers to latent reparameterizationStyleGAN2 CS-MRI · CS-MRI Accl=2x SNR=20 dBPSNR: 32.41 vs TV 32.92No clear effect
Add Gaussianization layers to latent reparameterizationGlow deblurring · CelebA-HQ deblurringLPIPS: 0.13 vs 0.17 sphericalHelped
Add Gaussianization layers to latent reparameterizationStyleGAN2 eikonal tomography · eikonal tomographyPSNR: 24.80 vs 22.19 sphericalHelped
Add ICA layer (orthogonal decorrelation of patch entries) to Gaussianization pipeline (ablation)StyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=20 dBPSNR: 27.91 vs 26.93 with no componentsHelped
Add ZCA/whitening layer alone without ICA (ablation)StyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=20 dBPSNR: 27.08 vs 26.93No clear effect
Add Yeo-Johnson 1D Gaussianization on top of ICA (ablation)StyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=10 dBPSNR: 25.48 vs 25.22 (ICA only)Helped
Add Lambert W x F_X 1D Gaussianization on top of ICA (ablation)StyleGAN2 CS-MRI · CS-MRI Accl=8x SNR=10 dBPSNR: 25.57 vs 25.22 (ICA only)Helped
Add ICA layer to Glow Gaussianization (P2) (ablation)Glow deblurring · CelebA-HQ deblurringLPIPS: 0.14 vs 0.17 without componentsHelped
Add 1D Gaussianization (YJ or Lambert) on Glow beyond ICA (ablation)Glow deblurring · CelebA-HQ deblurringPSNR: 22.40 to 22.52 range among ICA-containing variantsNo clear effect
Increase patch size of style vectors from 8 to 64 (ablation)StyleGAN2 CS-MRI (ICA+standardization) · CS-MRI Accl=8x SNR=20 dBPSNR: 28.03 at 64 vs 25.33 at 8Helped

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