8 citations · 13 across the 11 of their papers we have counts for
5 papers · 1 filter
Polar decomposition based algorithms on the product of Stiefel manifolds with applications in tensor approximation
Jianze Li, Shuzhong Zhang
In this paper, we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposit…
On the convergence of Jacobi-type algorithms for Independent Component Analysis
Jianze Li, Konstantin Usevich, Pierre Comon
Jacobi-type algorithms for simultaneous approximate diagonalization of real (or complex) symmetric tensors have been widely used in independent component analysis (ICA) because of…
Jacobi-type algorithm for low rank orthogonal approximation of symmetric tensors and its convergence analysis
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we propose a Jacobi-type algorithm to solve the low rank orthogonal approximation problem of symmetric tensors. This algorithm includes as a special case the well-kn…
Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms
Konstantin Usevich, Jianze Li, Pierre Comon
We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors…
Point cloud denoising based on tensor Tucker decomposition
Jianze Li, Xiao-Ping Zhang, Tuan Tran
In this paper, we propose a new algorithm for point cloud denoising based on the tensor Tucker decomposition. We first represent the local surface patches of a noisy point cloud to…