6 citations · 10 across the 9 of their papers we have counts for
9 papers
Randomized GCUR decompositions
Zhengbang Cao, Yimin Wei, Pengpeng Xie
By exploiting the random sampling techniques, this paper derives an efficient randomized algorithm for computing a generalized CUR decomposition, which provides low-rank approximat…
An L-DEIM Induced High Order Tensor Interpolatory Decomposition
Zhengbang Cao, Yimin Wei, Pengpeng Xie
This paper derives the CUR-type factorization for tensors in the Tucker format based on a new variant of the discrete empirical interpolation method known as L-DEIM. This novel sam…
A randomized singular value decomposition for third-order oriented tensors
Minghui Ding, Yimin Wei, Pengpeng Xie
The oriented singular value decomposition (O-SVD) proposed by Zeng and Ng provides a hybrid approach to the t-product based third-order tensor singular value decomposition with the…
Incremental tensor regularized least squares with multiple right-hand sides
Zhengbang Cao, Pengpeng Xie
Solving linear discrete ill-posed problems for third order tensor equations based on a tensor t-product has attracted much attention. But when the data tensor is produced continuou…
A note on perturbation analysis for T-product based tensor singular values
Yating Zhang, Xiaoxia Guo, Pengpeng Xie
In this note, we present perturbation analysis for the T-product based tensor singular values defined by Lu et al. First, the Cauchy's interlacing-type theorem for tensor singular…
Perturbation analysis for t-product based tensor inverse, Moore-Penrose inverse and tensor system
Zhengbang Cao, Pengpeng Xie
This paper establishes some perturbation analysis for the tensor inverse, the tensor Moore-Penrose inverse and the tensor system based on the t-product. In the settings of structur…
On some tensor inequalities based on the t-product
Zhengbang Cao, Pengpeng Xie
In this work, we investigate the tensor inequalities in the tensor t-product formalism. The inequalities involving tensor power are proved to hold similarly as standard matrix scen…
CS decomposition and GSVD for tensors based on the T-product
Yating Zhang, Xiaoxia Guo, Pengpeng Xie +1
This paper derives the CS decomposition for orthogonal tensors (T-CSD) and the generalized singular value decomposition for two tensors (T-GSVD) via the T-product. The structures o…
Perturbation Analysis and Randomized Algorithms for Large-Scale Total Least Squares Problems
Pengpeng Xie, Yimin Wei, Hua Xiang
In this paper, we present perturbation analysis and randomized algorithms for the total least squares (TLS) problems. We derive the perturbation bound and check its sharpness by nu…