A sparsity-inducing generative prior, built by conditioning a zero-mean diagonal Gaussian on a latent variable, can be trained directly on compressive measurements and yields fast closed-form reconstruction.
ALISTA: Analytic weights are as good as learned weights in LISTA,
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Sparse Bayesian Generative Modeling for Compressive Sensing
A sparsity-inducing generative prior, built by conditioning a zero-mean diagonal Gaussian on a latent variable, can be trained directly on compressive measurements and yields fast closed-form reconstruction.