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An inner-loop free solution to inverse problems using deep neural networks

NeurIPS 2017 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace gradient-descent inner loop for the z update with the learned inversion networkInf-ADMM-ADNN · Synthetic Laplace data, strided convolutionconvergence speed vs wall-clock timeHelped
replace gradient-descent inner loop for the z update with the learned inversion networkInf-ADMM-ADNN · Synthetic Laplace data, strided convolutionobjective vs ADMM iterationNo clear effect
use learned inversion network instead of exact closed-form matrix inverseInf-ADMM-ADNN · Synthetic Laplace dataobjective convergenceNo clear effect
use Inf-ADMM-ADNN instead of bicubic interpolationSuper-resolution · MNIST and CUB-200-2011visual qualityHelped
use Inf-ADMM-ADNN instead of tuned Wiener filterMotion deblurring · CUB-200-2011visual qualityHelped
use large ADMM beta (0.1 or 0.01) instead of smaller betaInf-ADMM-ADNN · MNIST super-resolutionNMSE convergenceMixed
reduce ADMM beta to 0.0001, 0.0005 or 0.001Inf-ADMM-ADNN · MNIST super-resolutionNMSEMixed
run more ADMM iterations (1st, 4th, 7th)Inf-ADMM-ADNN · CelebA joint super-resolution and colorizationvisual qualityHelped

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