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math.OC2022
Hardware-Efficient Mixed-Precision CP Tensor Decomposition
Zi Yang, Junnan Shan, Zheng Zhang
Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost…
math.OC2020
Separability of Hermitian Tensors and PSD Decompositions
Mareike Dressler, Jiawang Nie, Zi Yang
Hermitian tensors are natural generalizations of Hermitian matrices, while possessing rather different properties. A Hermitian tensor is separable if it has a Hermitian decompositi…
math.OC2017★ 1 cited
A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors
Jiawang Nie, Zi Yang, Xinzhen Zhang
A real symmetric matrix (resp., tensor) is said to be copositive if the associated quadratic (resp., homogeneous) form is greater than or equal to zero over the nonnegative orthant…