Low-Rank Phase Retrieval

@article{Vaswani2017LowRankPR,
  title={Low-Rank Phase Retrieval},
  author={Namrata Vaswani and Seyedehsara Nayer and Yonina C. Eldar},
  journal={IEEE Transactions on Signal Processing},
  year={2017},
  volume={65},
  pages={4059-4074}
}
  • Namrata Vaswani, Seyedehsara Nayer, Yonina C. Eldar
  • Published 2017
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • We develop two iterative algorithms for solving the low-rank phase retrieval (LRPR) problem. LRPR refers to recovering a low-rank matrix <inline-formula><tex-math notation="LaTeX">$\boldsymbol {X}$</tex-math></inline-formula> from magnitude-only (phaseless) measurements of random linear projections of its columns. Both methods consist of a spectral initialization step followed by an iterative algorithm to maximize the observed data likelihood. We obtain sample complexity bounds for our proposed… CONTINUE READING

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    References

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    SHOWING 1-10 OF 39 REFERENCES

    Phase Retrieval Using Alternating Minimization

    VIEW 9 EXCERPTS
    HIGHLY INFLUENTIAL

    Phase Retrieval via Wirtinger Flow: Theory and Algorithms

    VIEW 3 EXCERPTS

    Low-rank matrix completion using alternating minimization

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Low rank matrix recovery from column-wise phaseless measurements

    VIEW 1 EXCERPT

    Scalable Solvers of Random Quadratic Equations via Stochastic Truncated Amplitude Flow

    VIEW 1 EXCERPT

    GESPAR: Efficient Phase Retrieval of Sparse Signals