4 papers
Globally Convergent Block Coordinate Descent Algorithms for Semi-Nonnegative Independent Component Analysis
Zhenyu Cai, Wentao Ding, Jianze Li +1
We propose a subgradient-based block coordinate descent (BCD-SubG) framework for nonconvex optimization over products of probability simplices and a closed feasible set, motivated…
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 analysis of the transformed gradient projection algorithms on compact matrix manifolds
Wentao Ding, Jianze Li, Shuzhong Zhang
In this paper, we study the optimization problem on a compact matrix manifold. While existing feasible algorithms can be broadly categorized into retraction-based and projection-ba…
Projectively and weakly simultaneously diagonalizable matrices and their applications
Wentao Ding, Jianze Li, Shuzhong Zhang
Characterizing simultaneously diagonalizable (SD) matrices has been receiving considerable attention in the recent decades due to its wide applications and its role in matrix analy…