One-Bit Compressed Sensing Using Generative Models
This paper addresses sparse signal reconstruction in one-bit compressive sensing by proposing the first reconstruction framework leveraging pre-trained generative models. Methodologically, it models the target signal as a low-dimensional latent variable on a learned generative manifold and directly optimizes this latent variable under one-bit measurement constraints, integrating gradient-based search with theoretically grounded regularization. Its key contribution lies in moving beyond conventional ℓ₁ sparsity priors: it exploits expressive generative priors to capture broader classes of structured signals and establishes, for the first time, a theoretical reconstruction error bound under a RIP-like condition on the measurement operator. Experiments on standard benchmarks demonstrate substantial improvements—3–8 dB higher PSNR—over state-of-the-art methods including ℓ₁ minimization and AQI, confirming the superior representational power and robustness of generative priors in one-bit reconstruction.