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Non-Iterative Recovery From Nonlinear Observations Using Generative Models

CVPR 2022 · Learning theory and algorithms › Matrix and tensor methods · approach: Signal recovery and phase retrieval · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace iterative projected recovery with OneShot1-bit CS with generative priors · MNISTcosine similarityHelped
replace iterative projected recovery with OneShot1-bit CS with generative priors · CelebAcosine similarityHelped
replace iterative projected recovery with OneShotcubic CS with generative priors · MNISTcosine similarityHelped
replace iterative projected recovery with OneShotcubic CS with generative priors · CelebAcosine similarityNo clear effect
use GAN-based non-iterative projection instead of gradient-based projection (ablation)OneShot · 1-bit MNISTcosine similarityHurt
use GAN-based non-iterative projection instead of gradient-based projection (ablation)OneShot · 1-bit CelebAcosine similarityNo clear effect
use GAN-based non-iterative projection instead of gradient-based projection (ablation)OneShot · cubic MNISTcosine similarityHurt
use GAN-based non-iterative projection instead of gradient-based projection (ablation)OneShot · cubic CelebAcosine similarityNo clear effect
use one projected-gradient step rather than subsequent PGD iterations (ablation)cubic recovery · CelebAcosine similarityNo clear effect
use non-iterative GAN-based projection instead of iterative gradient-based projection (ablation)OneShot · MNIST and CelebA, 1-bit and cubictime (secs) per reconstruction: 0.34 -> 0.03 (1-bit MNIST); 130.63 -> 0.61 (1-bit CelebA); 0.61 -> 0.03 (cubic MNIST); 128.89 -> 0.66 (cubic CelebA)Helped

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