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NBIHT: An Efficient Algorithm for 1-Bit Compressed Sensing With Optimal Error Decay Rate

NBIHT: An Efficient Algorithm for 1-Bit Compressed Sensing With Optimal Error Decay Rate

The <i>Binary Iterative Hard Thresholding</i> (BIHT) algorithm is a popular reconstruction method for one-bit compressed sensing due to its simplicity and fast empirical convergence. Despite considerable research on this algorithm, a theoretical understanding of the corresponding approximation error and convergence rate still remains an open problem. This paper shows that …