128 citations · 149 across the 10 of their papers we have counts for
11 papers
Explicit Convergence Regions of PID-Damped Accelerated Gradient Methods in Nonconvex Optimization
Ailun Jian, Xun Li, Weigang Sun +1
Momentum-based accelerated gradient methods are widely adopted to expedite convergence in nonconvex optimization, but are prone to overshooting and oscillatory behavior. A class of…
A Randomized Block Krylov Method for Tensor Train Approximation
Gaohang Yu, Jinhong Feng, Zhongming Chen +2
Tensor train decomposition is a powerful tool for dealing with high-dimensional, large-scale tensor data, which is not suffering from the curse of dimensionality. To accelerate the…
Variable T-Product and Zero-Padding Tensor Completion with Applications
Liqun Qi, Rui Yan, Ziyan Luo +2
The T-product method based upon Discrete Fourier Transformation (DFT) has found wide applications in engineering, in particular, in image processing. In this paper, we propose vari…
Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors
Wandi Dong, Gaohang Yu, Liqun Qi +1
Low-rank approximation of tensors has been widely used in high-dimensional data analysis. It usually involves singular value decomposition (SVD) of large-scale matrices with high c…
Multi-mode Tensor Train Factorization with Spatial-spectral Regularization for Remote Sensing Images Recovery
Gaohang Yu, Shaochun Wan, Liqun Qi +1
Tensor train (TT) factorization and corresponding TT rank, which can well express the low-rankness and mode correlations of higher-order tensors, have attracted much attention in r…
T-Singular Values and T-Sketching for Third Order Tensors
Liqun Qi, Gaohang Yu
Based upon the T-SVD (tensor SVD) of third order tensors, introduced by Kilmer and her collaborators, we define T-singular values of third order tensors. T-singular values of third…
A Parallelizable Method for Missing Internet Traffic Tensor Data
Chen Ling, Gaohang Yu, Liqun Qi +1
Recovery of internet network traffic data from incomplete observed data is an important issue in internet network engineering and management. In this paper, by fully combining the…
Accelerating Power Methods for Higher-order Markov Chains
Gaohang Yu, Yi Zhou, Laishui Lv
Higher-order Markov chains play a very important role in many fields, ranging from multilinear PageRank to financial modeling. In this paper, we propose three accelerated higher-or…
Spectral projected gradient methods for generalized tensor eigenvalue complementarity problem
Gaohang Yu, Yisheng Song, Yi Xu +1
This paper looks at the tensor eigenvalue complementarity problem (TEiCP) which arises from the stability analysis of finite dimensional mechanical systems and is closely related t…
An adaptive gradient method for computing generalized tensor eigenpairs
Gaohang Yu, Zefeng Yu, Yi Xu +1
High order tensor arises more and more often in signal processing,data analysis, higher-order statistics, as well as imaging sciences. In this paper, an adaptive gradient (AG) meth…
Properties of Solution set of Tensor Complementarity Problem
Yisheng Song, Gaohang Yu
The tensor complementarity problem is a specially structured nonlinear complementarity problem, then it has its particular and nice properties other than ones of the classical nonl…