On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds

@article{Iwen2018OnRG,
  title={On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds},
  author={Mark A. Iwen and Felix Krahmer and Sara Krause-Solberg and Johannes Maly},
  journal={Discrete \& Computational Geometry},
  year={2018},
  volume={65},
  pages={953 - 998}
}
  • M. IwenF. Krahmer J. Maly
  • Published 17 July 2018
  • Computer Science, Mathematics
  • Discrete & Computational Geometry
This paper studies the problem of recovering a signal from one-bit compressed sensing measurements under a manifold model; that is, assuming that the signal lies on or near a manifold of low intrinsic dimension. We provide a convex recovery method based on the Geometric Multi-Resolution Analysis and prove recovery guarantees with a near-optimal scaling in the intrinsic manifold dimension. Our method is the first tractable algorithm with such guarantees for this setting. The results are… 

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Robust One-bit Compressed Sensing With Manifold Data

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