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Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval and Matrix Completion

Sparse RepresentationEngineeringMachine LearningData ScienceImplicit RegularizationMatrix CompletionSignal ReconstructionInverse ProblemsNonconvex Statistical EstimationRegularization (Mathematics)Signal ProcessingLow-rank ApproximationPhase Retrieval