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Learning Sparse High Dimensional Filters: Image Filtering, Dense CRFs and Bilateral Neural Networks

CVPR 2016 · Architectures and efficiency › CNN design · approach: CNN filter pruning · 205 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learn general bilateral filter weights instead of fixing a Gaussian kernelJoint bilateral color upsampling · Color upsampling, Pascal VOC12 and 2MP test images, 2x–16xPSNR: 33.46 / 37.93 -> 34.05 / 38.74; 31.87 / 35.66 -> 32.28 / 36.38; 30.51 / 33.92 -> 30.81 / 34.41; 29.19 / 32.24 -> 29.52 /Helped
Replace bicubic interpolation with learned bilateral upsamplingDepth prediction CNN · Depth upsampling, NYU testRMSE: 0.753 -> 0.748Helped
Learn the dense CRF pairwise kernel rather than using a Gaussian kernelSemantic segmentation with DeepLab and mean-field inference · Pascal VOC12 validation/test, 1-step and 2-step mean fieldIoU change: +2.48 -> +2.93; +3.38 -> +3.71Helped
Learn the dense CRF pairwise kernelMaterial segmentation CNN · MINC test, pixel accuracyPixel accuracy change: +7.91 / +6.28 -> +9.48 / +6.23; +9.68 / +7.35 -> +11.89 / +6.93Helped
Learn the dense CRF pairwise kernelMaterial segmentation CNN · MINC test, class-averaged pixel accuracyClass-averaged pixel accuracy change: +6.28 -> +6.23; +7.35 -> +6.93Mixed
Give separate kernels to the first and second mean-field steps (ablation)Learned CRF for semantic segmentation · Pascal VOC12 validation/test, 2-step mean fieldIoU change: +3.71 -> +3.85 / +3.37Helped
Replace the first spatial convolution with a bilateral convolutionLeNet and DeepCNet · Assamese character recognition, testAccuracy: 69.10 -> 74.98; 80.02 -> 84.21Helped
Replace the first spatial convolution with bilateral convolution on original-resolution MNISTLeNet · MNIST, original training and test dataAccuracy: 0.9919 -> 0.9903Hurt
Replace the first spatial convolution with bilateral convolution when training on subsampled MNIST at 100% and 60%LeNet · MNIST, subsampled training and test dataAccuracy: 0.9660 -> 0.9844; 0.9348 -> 0.9534Helped
Replace the first spatial convolution with bilateral convolution when training on subsampled MNIST at 20%LeNet · MNIST, 20% training and test samplesAccuracy: 0.8928 -> 0.9042Helped
Use a learned bilateral filter rather than a Gaussian bilateral filterSingle-filter image denoising · BSDS500 testPSNR: $26.51$ -> $26.58$Helped
Add a spatial filter to the learned bilateral filter (ablation)Single-filter image denoising · BSDS500 testPSNR: $26.58$ -> $26.65$Helped

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