133 citations · 322 across the 19 of their papers we have counts for
19 papers
LDA-MIG Detectors for Maritime Targets in Nonhomogeneous Sea Clutter
Xiaoqiang Hua, Linyu Peng, Weijian Liu +4
This paper deals with the problem of detecting maritime targets embedded in nonhomogeneous sea clutter, where limited number of secondary data is available due to the heterogeneity…
The difference variational bicomplex and multisymplectic systems
Linyu Peng, Peter E. Hydon
The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of…
Multiple soliton solutions and similarity reduction of a (2+1)-dimensional variable-coefficient Korteweg-de Vries system
Yaqing Liu, Linyu Peng
In this paper, we study the novel nonlinear wave structures of a (2+1)-dimensional variable-coefficient Korteweg-de Vries (KdV) system by its analytic solutions. Its -soliton so…
Unsupervised Learning Discriminative MIG Detectors in Nonhomogeneous Clutter
Xiaoqiang Hua, Yusuke Ono, Linyu Peng +1
Principal component analysis (PCA) is a commonly used pattern analysis method that maps high-dimensional data into a lower-dimensional space maximizing the data variance, that resu…
Towards a median signal detector through the total Bregman divergence and its robustness analysis
Yusuke Ono, Linyu Peng
A novel family of geometric signal detectors are proposed through medians of the total Bregman divergence (TBD), which are shown advantageous over the conventional methods and thei…
A stochastic Hamiltonian formulation applied to dissipative particle dynamics
Linyu Peng, Noriyoshi Arai, Kenji Yasuoka
In this paper, a stochastic Hamiltonian formulation (SHF) is proposed and applied to dissipative particle dynamics (DPD) simulations. As an extension of Hamiltonian dynamics to sto…
Transformations, symmetries and Noether theorems for differential-difference equations
Linyu Peng, Peter E Hydon
The first part of this paper develops a geometric setting for differential-difference equations that resolves an open question about the extent to which continuous symmetries can d…
MIG Median Detectors with Manifold Filter
Xiaoqiang Hua, Linyu Peng
In this paper, we propose a class of median-based matrix information geometry (MIG) detectors with a manifold filter and apply them to signal detection in nonhomogeneous environmen…
Target Detection within Nonhomogeneous Clutter via Total Bregman Divergence-Based Matrix Information Geometry Detectors
Xiaoqiang Hua, Yusuke Ono, Linyu Peng +2
Information divergences are commonly used to measure the dissimilarity of two elements on a statistical manifold. Differentiable manifolds endowed with different divergences may po…
A modified formal Lagrangian formulation for general differential equations
Linyu Peng
In this paper, we propose a modified formal Lagrangian formulation by introducing dummy dependent variables and prove the existence of such a formulation for any system of differen…
Fisher-Rao Geometry and Jeffreys Prior for Pareto Distribution
Mingming Li, Huafei Sun, Linyu Peng
In this paper, we investigate the Fisher-Rao geometry of the two-parameter family of Pareto distribution. We prove that its geometrical structure is isometric to the Poincaré upper…
An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity
James A Wright, Linyu Peng
We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular…
Application of gradient descent algorithms based on geodesic distances
Xiaomin Duan, Huafei Sun, Linyu Peng
In this paper, the Riemannian gradient algorithm and the natural gradient algorithm are applied to solve descent direction problems on the manifold of positive definite Hermitian m…
Statistical Einstein manifolds of exponential families with group-invariant potential functions
Linyu Peng, Zhenning Zhang
This paper mainly contributes to a classification of statistical Einstein manifolds, namely statistical manifolds at the same time are Einstein manifolds. A statistical manifold is…
Symmetries and reductions of integrable nonlocal partial differential equations
Linyu Peng
In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schrödinger equation…
Discrete Crum's Theorems and Integrable Lattice Equations
Cheng Zhang, Linyu Peng, Da-jun Zhang
In this paper, we develop discrete versions of Darboux transformations and Crum's theorems for two second order difference equations. The difference equations are discretised versi…
Symmetries, conservation laws and Noether's theorem for differential-difference equations
Linyu Peng
This paper mainly contributes to the extension of Noether's theorem to differential-difference equations. For that purpose, we first investigate the prolongation formula for contin…
Self-adjointness and conservation laws of difference equations
Linyu Peng
A general theorem on conservation laws for arbitrary difference equations is proved. The theorem is based on an introduction of an adjoint system related with a given difference sy…
Relations between symmetries and conservation laws for difference systems
Linyu Peng
For difference variational problems on lattice, this paper presents a relation between divergence variational symmetries and conservation laws for the associated Euler-Lagrange sys…