8 citations · 13 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…