The number of linear measurements for perfect structured signal recovery depends only on first and second moments of the measurement distribution, reducing analysis to the Gaussian case and yielding 3n measurements for PhaseLift phase retrieval.
Universalitylawsforrandomizeddimension reduction, with applications.Information and Inference: A Journal of the IMA, 7(3):337–446, 2017
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Universality in Learning from Linear Measurements
The number of linear measurements for perfect structured signal recovery depends only on first and second moments of the measurement distribution, reducing analysis to the Gaussian case and yielding 3n measurements for PhaseLift phase retrieval.