no code implementations • 5 May 2022 • Gaohang Yu, Shaochun Wan, Liqun Qi, Yanwei Xu
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 recent years.
no code implementations • 18 Oct 2021 • Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu
By the multi-dimensional nature of color images and videos, in this paper, we propose a novel tensor completion approach, which is able to efficiently explore the sparsity of tensor data under the discrete cosine transform (DCT).
no code implementations • 26 Jan 2021 • Liqun Qi, Xinzhen Zhang
An $n \times n \times p$ tensor is called a T-square tensor.
Spectral Theory
no code implementations • 1 Oct 2020 • Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu
Our model possesses a sparse regularization term to promote a sparse core tensor of the Tucker decomposition, which is beneficial for tensor data compression.
1 code implementation • 10 Feb 2016 • Zheng-Hai Huang, Liqun Qi
In this paper, we consider a class of $n$-person noncooperative games, where the utility function of every player is given by a homogeneous polynomial defined by the payoff tensor of that player, which is a natural extension of the bimatrix game where the utility function of every player is given by a quadratic form defined by the payoff matrix of that player.
Optimization and Control