Transactions of Nanjing University of Aeronautics & Astronautics
Double Transformed Tubal Nuclear Norm Minimization for Tensor Completion
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Abstract:
Non-convex methods play a critical role in low-rank tensor completion for their approximation to tensor rank is tighter than that of convex methods. But they usually cost much more time for calculating singular values of large tensors. In this paper， we propose a double transformed tubal nuclear norm （DTTNN） to replace the rank norm penalty in low rank tensor completion （LRTC） tasks. DTTNN turns the original non-convex penalty of a large tensor into two convex penalties of much smaller tensors， and it is shown to be an equivalent transformation. Therefore， DTTNN could take advantage of non-convex envelopes while saving time. Experimental results on color image and video inpainting tasks verify the effectiveness of DTTNN compared with state-of-the-art methods.
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This work was financially supported by the National Nautral Science Foundation of China （No. 61703206）.
Clc Number:
TN911.73
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