14 citations · 64 across the 19 of their papers we have counts for
10 papers · 1 filter
Deterministic Dynamic Stackelberg Games: Time-Consistent Open-Loop Solution
Yuan-Hua Ni, Liping Liu, Xinzhen Zhang
In this paper, the known deterministic linear-quadratic Stackelberg game is revisited, whose open-loop Stackelberg solution actually possesses the nature of time inconsistency. To…
Tensor factorization based method for low rank matrix completion and its application on tensor completion
Quan Yu, Xinzhen Zhang
Low rank matrix and tensor completion problems are to recover the incomplete two and higher order data by using their low rank structures. The essential problem in the matrix and t…
A smoothing proximal gradient algorithm for matrix rank minimization problem
Quan Yu, Xinzhen Zhang
In this paper, we study the low-rank matrix minimization problem, where the loss function is convex but nonsmooth and the penalty term is defined by the cardinality function. We fi…
Multi-Tubal Rank of Third Order Tensor and Related Low Rank Tensor Completion Problem
Quan Yu, Xinzhen Zhang, Zheng-Hai Huang
Recently, a tensor factorization based method for a low tubal rank tensor completion problem of a third order tensor was proposed, which performed better than some existing methods…
A Low Rank Quaternion Decomposition Algorithm and Its Application in Color Image Inpainting
Yannan Chen, Liqun Qi, Xinzhen Zhang +1
In this paper, we propose a lower rank quaternion decomposition algorithm and apply it to color image inpainting. We introduce a concise form for the gradient of a real function in…
Quaternion Matrix Optimization and The Underlying Calculus
Liqun Qi, Ziyan Luo, Qingwen Wang +1
Optimization models involving quaternion matrices are widely used in color image process and other engineering areas. These models optimize real functions of quaternion matrix vari…
A Nash-Type Fictitious Game Framework to Time-Inconsistent Stochastic Control Problems
Yuan-Hua Ni, Binbin Si, Xinzhen Zhang
In this paper, a Nash-type fictitious game framework is introduced to handle a time-inconsistent linear-quadratic optimal control. The Nash-type game in this framework is called fi…
Calculating Entanglement Eigenvalues for Non-Symmetric Quantum Pure States Based on the Jacobian Semidefinite Programming Relaxation Method
Mengshi Zhang, Xinzhen Zhang, Guyan Ni
The geometric measure of entanglement is a widely used entanglement measure for quantum pure states. The key problem of computation of the geometric measure is to calculate the ent…
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…
Positive Maps and Separable Matrices
Jiawang Nie, Xinzhen Zhang
A linear map between real symmetric matrix spaces is positive if all positive semidefinite matrices are mapped to positive semidefinite ones. A real symmetric matrix is separable i…