8 citations · 13 across the 11 of their papers we have counts for
13 papers
Globally Convergent Jacobi-Type Algorithms for Robust Approximate Diagonalization of Higher-Order Cumulant Tensors
Jianze Li, Zhenyu Cai, Wentao Ding +1
The sums of the absolute values of higher-order cumulants are classical contrast functions for independent component analysis (ICA) and lead naturally to robust approximate diagona…
Upper Bounds on the Comon Rank Gap of Real Symmetric Third-Order Tensors
Jianze Li
Let be a nonzero real symmetric third-order tensor. Denote by its CP rank, by its symmetric rank, by its essential dimension, and put . We…
TAOTF: A Two-stage Approximately Orthogonal Training Framework in Deep Neural Networks
Taoyong Cui, Jianze Li, Yuhan Dong +1
The orthogonality constraints, including the hard and soft ones, have been used to normalize the weight matrices of Deep Neural Network (DNN) models, especially the Convolutional N…
Data-free Backdoor Removal based on Channel Lipschitzness
Runkai Zheng, Rongjun Tang, Jianze Li +1
Recent studies have shown that Deep Neural Networks (DNNs) are vulnerable to the backdoor attacks, which leads to malicious behaviors of DNNs when specific triggers are attached to…
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations
Zhou Sheng, Jianze Li, Qin Ni
This paper mainly studies the gradient-based Jacobi-type algorithms to maximize two classes of homogeneous polynomials with orthogonality constraints, and establish their convergen…
Convergence of gradient-based block coordinate descent algorithms for non-orthogonal joint approximate diagonalization of matrices
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we propose a gradient-based block coordinate descent (BCD-G) framework to solve the joint approximate diagonalization of matrices defined on the product of the compl…
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…
On approximate diagonalization of third order symmetric tensors by orthogonal transformations
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we study the approximate orthogonal diagonalization problem of third order symmetric tensors. We define several classes of approximately diagonal tensors, including…
Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we consider a family of Jacobi-type algorithms for simultaneous orthogonal diagonalization problem of symmetric tensors. For the Jacobi-based algorithm of [SIAM J. M…