Patched-tube unitary transform for robust tensor completion
作者：
Highlights：
• A patched-tubes unitary transform method for robust tensor completion is developed, which is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed t-SVD is employed to recover such incomplete and/or corrupted sub-tensor.
• The perturbation results of the transformed t-SVD for patched-tubes tensor completion are established.
• Extensive numerical experiments are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods.
摘要
•A patched-tubes unitary transform method for robust tensor completion is developed, which is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed t-SVD is employed to recover such incomplete and/or corrupted sub-tensor.•The perturbation results of the transformed t-SVD for patched-tubes tensor completion are established.•Extensive numerical experiments are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods.
论文关键词：Unitary transform,Patched-tubes,Robust tensor completion,Transformed tensor singular value decomposition
论文评审过程：Received 26 April 2019, Revised 21 November 2019, Accepted 17 December 2019, Available online 24 December 2019, Version of Record 30 December 2019.
论文官网地址：https://doi.org/10.1016/j.patcog.2019.107181
