Defines transform-dependent tensor rank and nuclear norm; proves convex program exactly recovers low-rank and sparse tensors under incoherence, reducing to matrix RPCA.
Tensor versus matrix completion: A comparison with application to spectral data,
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Exact Recovery of Tensor Robust Principal Component Analysis under Linear Transforms
Defines transform-dependent tensor rank and nuclear norm; proves convex program exactly recovers low-rank and sparse tensors under incoherence, reducing to matrix RPCA.