Author

Ming Yuan

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Preprint Jul 2026

Near-Optimal Lower Bounds on One-Bit Compressed Sensing of Approximately Sparse Signals

This paper provides the first near-optimal lower bounds for one-bit compressed sensing of approximately sparse signals lying in a scaled $\ell_1$ ball, which is a commonly adopted relaxation of the exactly $k$-sparse assumption. In prior works, the best known upper bounds on uniform Euclidean error are of order $\widet...

Junren Chen, Arya Mazumdar, Ming Yuan · 0 citations