Nuclear norm minimization and semidefinite-constrained ERM achieve optimal O(rn) sample complexity for low-rank matrix recovery under heavy-tailed quadratic sampling with only finite 4+δ moments.
Solving (most) of a set of quadratic equalities: Composite optimization for robust phase retrieval.Information and Inference: A Journal of the IMA, 8(3):471–529, 2019
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Low-Rank Matrix Recovery via Heavy-Tailed Quadratic Sampling
Nuclear norm minimization and semidefinite-constrained ERM achieve optimal O(rn) sample complexity for low-rank matrix recovery under heavy-tailed quadratic sampling with only finite 4+δ moments.