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Our model is based on a new tensor Singular Value Decomposition (t-SVD) (Kilmer and Martin 2011) and its induced tensor tubal rank and tensor nuclear norm. Consider that we have a 3-way tensor ${\\mathcal{X}}\\in\\mathbb{R}^{n_1\\times n_2\\times n_3}$ such that ${\\mathcal{X}}={\\mathcal{L}}_0+{\\mathcal{E}}_0$, where ${\\mathcal{L}}_0$ has low tubal rank and ${\\mathcal{E}}_0$ is sparse. Is that possible to recover both components? 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