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The Neural Tangent Link Between CNN Denoisers and Non-Local Filters

CVPR 2021 · Architectures and efficiency › CNN design · approach: CNN filter pruning · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the corrupted image rather than noise as input (ablation)Vanilla CNN trained with Adam · 9 color images, Gaussian noise σ=25PSNR (dB): 19.6 -> 27.4Helped
Use the corrupted image rather than noise as input (ablation)U-Net trained with Adam · 9 color images, Gaussian noise σ=25PSNR (dB): 28.3 -> 28.1Hurt
Use the corrupted image rather than noise as input (ablation)Autoencoder trained with Adam · 9 color images, Gaussian noise σ=25PSNR (dB): 29.2 -> 29.3No clear effect
Use the corrupted image rather than noise as input (ablation)Vanilla CNN trained with gradient descent · 9 color images, Gaussian noise σ=25PSNR (dB): 15.2 -> 27.5Helped
Use the corrupted image rather than noise as input (ablation)U-Net trained with gradient descent · 9 color images, Gaussian noise σ=25PSNR (dB): 16.5 -> 27.1Helped
Use the corrupted image rather than noise as input (ablation)Autoencoder trained with gradient descent · 9 color images, Gaussian noise σ=25PSNR (dB): 15.0 -> 26.8Helped
Replace gradient descent with Adam (ablation)Autoencoder with noise input · 9 color images, Gaussian noise σ=25PSNR (dB): 15.0 -> 29.2Helped
Replace gradient descent with Adam (ablation)Autoencoder with image input · 9 color images, Gaussian noise σ=25PSNR (dB): 26.8 -> 29.3Helped
Use the corrupted image rather than noise as input (ablation)Autoencoder trained with Adam · 9 color images, Gaussian noise σ=5PSNR (dB): 33.5 -> 35.3Helped
Use the corrupted image rather than noise as input (ablation)Autoencoder trained with Adam · 9 color images, Gaussian noise σ=100PSNR (dB): 24.4 -> 24.1Hurt
Approximate the analytic vanilla CNN filter with Nyström rather than train the CNN with gradient descent (ablation)Vanilla CNN with image input · 9 color images, Gaussian noise σ=25PSNR (dB): 27.5 -> 28.3Helped
Train an autoencoder with Adam instead of using the analytic vanilla CNN filterImage-input denoising · 9 color images, Gaussian noise σ=25PSNR (dB): 28.3 -> 29.3Helped

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