16 citations · 52 across the 13 of their papers we have counts for
14 papers
Efficient Generative Modeling with Unitary Matrix Product States Using Riemannian Optimization
Haotong Duan, Zhongming Chen, Ngai Wong
Tensor networks, which are originally developed for characterizing complex quantum many-body systems, have recently emerged as a powerful framework for capturing high-dimensional p…
Low-rank Tensor Train Decomposition Using TensorSketch
Zhongming Chen, Huilin Jiang, Gaohang Yu +1
Tensor train decomposition is one of the most powerful approaches for processing high-dimensional data. For low-rank tensor train decomposition of large tensors, the alternating le…
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…
A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem
Zhongming Chen, Chen Ling, Liqun Qi +1
The hand-eye calibration problem is an important application problem in robot research. Based on the 2-norm of dual quaternion vectors, we propose a new dual quaternion optimizatio…
Low Rank Approximation of Dual Complex Matrices
Liqun Qi, David M. Alexander, Zhongming Chen +2
Dual complex numbers can represent rigid body motion in 2D spaces. Dual complex matrices are linked with screw theory, and have potential applications in various areas. In this pap…
Two Irreducible Functional Bases of Isotropic Invariants of A Fourth Order Three-Dimensional Symmetric and Traceless Tensor
Zhongming Chen, Yannan Chen, Liqun Qi +1
The elasticity tensor is one of the most important fourth order tensors in mechanics. Fourth order three-dimensional symmetric and traceless tensors play a crucial role in the stud…
An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor
Zhongming Chen, Jinjie Liu, Liqun Qi +2
In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper…
Parallelized Tensor Train Learning of Polynomial Classifiers
Zhongming Chen, Kim Batselier, Johan A. K. Suykens +1
In pattern classification, polynomial classifiers are well-studied methods as they are capable of generating complex decision surfaces. Unfortunately, the use of multivariate polyn…
A Tensor Network Kalman filter with an application in recursive MIMO Volterra system identification
Kim Batselier, Zhongming Chen, Ngai Wong
This article introduces a Tensor Network Kalman filter, which can estimate state vectors that are exponentially large without ever having to explicitly construct them. The Tensor N…
Tensor Network alternating linear scheme for MIMO Volterra system identification
Kim Batselier, Zhongming Chen, Ngai Wong
This article introduces two Tensor Network-based iterative algorithms for the identification of high-order discrete-time nonlinear multiple-input multiple-output (MIMO) Volterra sy…
A Semismooth Newton Method for Tensor Eigenvalue Complementarity Problem
Zhongming Chen, Liqun Qi
In this paper, we consider the tensor eigenvalue complementarity problem which is closely related to the optimality conditions for polynomial optimization, as well as a class of di…
The positive semi-definite cone and sum-of-squares cone of Hankel form
Zhongming Chen, Liqun Qi
In this paper, the geometry properties of Hankel form are studied, including their positive semi-definite (PSD) cone and sum-of-squares (SOS) cone. We denote them by an…
Generalized Eigenvalue Complementarity Problem for Tensors
Zhongming Chen, Qingzhi Yang, Lu Ye
In this paper, the generalized eigenvalue complementarity problem for tensors (GEiCP-T) is addressed, which arises from the stability analysis of finite dimensional mechanical syst…
Circulant Tensors with Applications to Spectral Hypergraph Theory and Stochastic Process
Zhongming Chen, Liqun Qi
Circulant tensors naturally arise from stochastic process and spectral hypergraph theory. The joint moments of stochastic processes are symmetric circulant tensors. The adjacency,…