1 citations · 1 across the 4 of their papers we have counts for
5 papers
On decomposability and subdifferential of the tensor nuclear norm
Jiewen Guan, Bo Jiang, Zhening Li
We study the decomposability and the subdifferential of the tensor nuclear norm. Both concepts are well understood and widely applied in matrices but remain unclear for higher-orde…
-sphere covering and approximating nuclear -norm
Jiewen Guan, Simai He, Bo Jiang +1
The spectral -norm and nuclear -norm of matrices and tensors appear in various applications albeit both are NP-hard to compute. The former sets a foundation of -spher…
Approximating Tensor Norms via Sphere Covering: Bridging the Gap Between Primal and Dual
Simai He, Haodong Hu, Bo Jiang +1
The matrix spectral and nuclear norms appear in enormous applications. The generalizations of these norms to higher-order tensors is becoming increasingly important but unfortunate…
Complexity and computation for the spectral norm and nuclear norm of order three tensors with one fixed dimension
Haodong Hu, Bo Jiang, Zhening Li
The recent decade has witnessed a surge of research in modelling and computing from two-way data (matrices) to multiway data (tensors). However, there is a drastic phase transition…
Quaternion matrix decomposition and its theoretical implications
Chang He, Bo Jiang, Xihua Zhu
This paper proposes a novel matrix rank-one decomposition for quaternion Hermitian matrices, which admits a stronger property than the previous results in (sturm2003cones,huang2007…