English

Binary Compressive Sensing via Smoothed $\ell_0$ Gradient Descent

Signal Processing 2018-07-31 v2 Machine Learning

Abstract

We present a Compressive Sensing algorithm for reconstructing binary signals from its linear measurements. The proposed algorithm minimizes a non-convex cost function expressed as a weighted sum of smoothed 0\ell_0 norms which takes into account the binariness of signals. We show that for binary signals the proposed algorithm outperforms other existing algorithms in recovery rate while requiring a short run time.

Keywords

Cite

@article{arxiv.1801.09937,
  title  = {Binary Compressive Sensing via Smoothed $\ell_0$ Gradient Descent},
  author = {Tianlin Liu and Dae Gwan Lee},
  journal= {arXiv preprint arXiv:1801.09937},
  year   = {2018}
}
R2 v1 2026-06-23T00:03:18.173Z