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Block Coordinate Regularization by Denoising

NeurIPS 2019 · Learning theory and algorithms › Matrix and tensor methods · approach: Signal recovery and phase retrieval · 49 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use BC-RED instead of full-gradient RED with BM3D priorRED (BM3D) · Radon, 30 dBSNR: 21.55 -> 21.56No clear effect
Use BC-RED instead of full-gradient RED with BM3D priorRED (BM3D) · Radon, 40 dBSNR: 25.24 -> 25.16Hurt
Use BC-RED instead of full-gradient RED with DnCNN* priorRED (DnCNN*) · Random, 30 dBSNR: 26.53 -> 26.60Helped
Use BC-RED instead of full-gradient RED with DnCNN* priorRED (DnCNN*) · Fourier, 40 dBSNR: 30.32 -> 30.39Helped
Use randomized-epoch block selection rather than full-gradient RED (ablation)BC-RED with DnCNN* · Radon, 30 dBiterations to accuracy 10^-10: 190 -> 104Helped
Increase τ for the proximal-operator denoiser (ablation)BC-RED solving TV-regularized least squares · Fourier, 40 dBrelative objective gapHelped
Use randomized-epoch block selection rather than i.i.d. block selection (ablation)BC-RED · Radon, 30 dBconvergence rateHelped

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