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stat.ML2018
Tensor-Tensor Product Toolbox
Canyi Lu
The tensor-tensor product (t-product) [M. E. Kilmer and C. D. Martin, 2011] is a natural generalization of matrix multiplication. Based on t-product, many operations on matrix can…
stat.ML2018
Exact Low Tubal Rank Tensor Recovery from Gaussian Measurements
Canyi Lu, Jiashi Feng, Zhouchen Lin +1
The recent proposed Tensor Nuclear Norm (TNN) [Lu et al., 2016; 2018a] is an interesting convex penalty induced by the tensor SVD [Kilmer and Martin, 2011]. It plays a similar role…
stat.ML2018
Tensor Robust Principal Component Analysis with A New Tensor Nuclear Norm
Canyi Lu, Jiashi Feng, Yudong Chen +3
In this paper, we consider the Tensor Robust Principal Component Analysis (TRPCA) problem, which aims to exactly recover the low-rank and sparse components from their sum. Our mode…