A debiasing and spectral projection procedure constructs asymptotically normal estimators for any linear form of a low-rank matrix from noisy partial observations, enabling confidence intervals and tests.
Next, we bound the third moment of ξ (⟨ U⊥U T ⊥XVV T,T ⟩ + ⟨ UUXV⊥V T ⊥,T ⟩)
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Statistical Inferences of Linear Forms for Noisy Matrix Completion
A debiasing and spectral projection procedure constructs asymptotically normal estimators for any linear form of a low-rank matrix from noisy partial observations, enabling confidence intervals and tests.