5 papers · 1 filter
Extended alternating structure-adapted proximal gradient algorithm for nonconvex nonsmooth problems
Ying Gao, Chunfeng Cui, Wenxing Zhang +1
Alternating structure-adapted proximal (ASAP) gradient algorithm (M. Nikolova and P. Tan, SIAM J Optim, 29:2053-2078, 2019) has drawn much attention due to its efficiency in solvin…
Inertial Accelerated Stochastic Mirror Descent for Large-Scale Generalized Tensor CP Decomposition
Zehui Liu, Qingsong Wang, Chunfeng Cui +1
The majority of classic tensor CP decomposition models are designed for squared loss, employing Euclidean distance as a local proximal term. However, the Euclidean distance is unsu…
A Bregman Proximal Stochastic Gradient Method with Extrapolation for Nonconvex Nonsmooth Problems
Qingsong Wang, Zehui Liu, Chunfeng Cui +1
In this paper, we explore a specific optimization problem that involves the combination of a differentiable nonconvex function and a nondifferentiable function. The differentiable…
A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix
Chunfeng Cui, Liqun Qi
In this paper, we first study the projections onto the set of unit dual quaternions, and the set of dual quaternion vectors with unit norms. Then we propose a power method for comp…
Improving the generalization via coupled tensor norm regularization
Ying Gao, Yunfei Qu, Chunfeng Cui +1
In this paper, we propose a coupled tensor norm regularization that could enable the model output feature and the data input to lie in a low-dimensional manifold, which helps us to…