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Learning Factorized Weight Matrix for Joint Filtering

ICML 2020 · Learning theory and algorithms › Matrix and tensor methods · approach: Geometry of low-rank and SPD structure · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add learned sparse residual matrix S (networks eta and kappa) on top of low-rank correlation L (ablation)factorized weight matrix filter · NYUv2 depth upsampling 4x/8x/16xRMSE: 2.50 -> 2.16 (4x), 4.57 -> 4.32 (8x), 7.99 -> 7.66 (16x)Helped
add learned sampling locations kappa for the sparse residual (ablation)factorized weight matrix filter · NYUv2 depth upsampling 4x/8x/16xRMSE: 2.21 -> 2.16 (4x), 4.43 -> 4.32 (8x), 7.81 -> 7.66 (16x)Helped
add eta without kappa (fixed sampling) over low-rank only (ablation)factorized weight matrix filter · NYUv2 depth upsampling 4x/8x/16xRMSE: 2.50 -> 2.21 (4x), 4.57 -> 4.43 (8x), 7.99 -> 7.81 (16x)Helped
use proposed method instead of PACdepth upsampling · NYUv2 4xRMSE: 2.39 -> 2.16Helped
use proposed method instead of PACdepth upsampling · NYUv2 16xRMSE: 8.09 -> 7.66Helped
use proposed method instead of PACoptical flow upsampling · Sintel 4xEPE: 0.105 -> 0.096Helped
use proposed method instead of PACoptical flow upsampling · Sintel 16xEPE: 0.592 -> 0.548Helped
use proposed method instead of SVdepth denoising · Lu et al. benchmark noise 20PSNR: 36.44 -> 37.74Helped
use proposed method instead of SVdepth denoising · Lu et al. benchmark noise 20RMSE: 4.02 -> 3.43Helped
use proposed method instead of NLRNnatural image denoising · Set12 noise 50PSNR: 27.64 -> 27.83Helped
use proposed method instead of NLRNnatural image denoising · BSD68 noise 15PSNR: 31.88 -> 31.89No clear effect
use proposed method instead of NLRNnatural image denoising · Set12 noise 15PSNR: 33.16 -> 33.18No clear effect

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