“…Introduction. Tensor completion aims at estimating missing entries or damaged parts in high-dimensional data and plays an important role in computer vision, e.g., color image inpainting [3,31,35,52,58], video inpainting [5,8,26,53,60], hyperspectral images recovery [27,34,50,51], higher-order web link analysis [28,36], multi-linear system [9], and seismic data reconstruction [16]. As a typical ill-posed inverse problem, stable tensor completion processes usually rely on prior knowledge of the underlying tensor.…”