Stable phase retrieval holds for L2-spans of independent centered real random variables iff all but at most one coordinate obeys a uniform two-sided L1 bound.
Candès and Xiaodong Li
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Stable Phase Retrieval for Spans of Independent Random Variables
Stable phase retrieval holds for L2-spans of independent centered real random variables iff all but at most one coordinate obeys a uniform two-sided L1 bound.