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Uncertainty Modeling in Generative Compressed Sensing

ICML 2022 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Score-based generative modeling analysis

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add uncertainty modeling (variational latent z and MAP-inferred parameters theta with Gaussian prior) to CSGM generator, expanding its rangeCSGM generative compressed sensing · MNIST, m between 100 and 400per-pixel l2 reconstruction lossHelped
Add uncertainty modeling to CSGM generatorCSGM generative compressed sensing · CelebA, m from 20 to 104per-pixel l2 reconstruction lossHelped
Use Sparse-Gen-style sparse deviation vector instead of CS-BGM uncertainty modeling at large measurement countMNIST, m of 500 or larger · MNISTper-pixel l2 reconstruction lossNo clear effect
Replace VI on z with MAP estimation (CS-BGM w/o MC) (ablation)CS-BGM · MNIST and CelebAreconstruction errorNo clear effect
Replace Lasso baseline with CS-BGM on CelebA DCT/DWT sparse basisLasso · CelebA, m=1000qualitative reconstructionHurt

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