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Can I read Recovery Guarantees for Distributed-OMP on EtoBox?
Recovery Guarantees for Distributed-OMP by Amiraz, Chen; Krauthgamer, Robert; Nadler, Boaz is a scholarly article available to read on EtoBox.
What is Recovery Guarantees for Distributed-OMP about?
We study distributed schemes for high-dimensional sparse linear regression, based on orthogonal matching pursuit (OMP). Such schemes are particularly suited for settings where a central fusion center is connected to end machines, that have both computation and communication limitations. We prove that under suitable assumptions, distributed-OMP schemes recover the support of the regression vector with communication per machine linear in its sparsity and logarithmic in the dimension. Remarkably, this holds even at low signal-to-noise-ratios, where individual machines are unable to detect the support. Our simulations show that distributed-OMP schemes are competitive with more computationally intensive methods, and in some cases even outperform them.
- Author
- Amiraz, Chen; Krauthgamer, Robert; Nadler, Boaz
- Published
- 2022
- Language
- EN
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