Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Peng, Linyu"'
Autor:
Peng, Linyu, Yoshimura, Hiroaki
In this paper, we propose the concept of $(\pm)$-discrete Dirac structures over a manifold, where we define $(\pm)$-discrete two-forms on the manifold and incorporate discrete constraints using $(\pm)$-finite difference maps. Specifically, we develop
Externí odkaz:
http://arxiv.org/abs/2411.09530
Autor:
Ono, Yusuke, Peng, Linyu
Publikováno v:
IEEE Transactions on Aerospace and Electronic Systems 60, 1679-1691, 2024
Essential characteristics of signal data can be captured by the autocovariance matrix, which, in the stationary scenarios, is Toeplitz Hermitian positive definite (HPD). In this paper, several well-known Riemannian geometric structures of HPD matrix
Externí odkaz:
http://arxiv.org/abs/2409.18377
Autor:
Hua, Xiaoqiang, Peng, Linyu, Liu, Weijian, Cheng, Yongqiang, Wang, Hongqiang, Sun, Huafei, Wang, Zhenghua
Publikováno v:
IEEE Transactions on Geoscience and Remote Sensing 61, 5101815, 2023
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 of sea clutter. A class of linear discriminant analysis (LDA)-based m
Externí odkaz:
http://arxiv.org/abs/2409.17911
Autor:
Jiu, Lin, Peng, Linyu
Publikováno v:
Communications in Statistics: Theory and Methods, 2024
The hyperbolic secant distribution has several generalizations with applications in finance. In this study, we explore the dual geometric structure of one such generalization, namely the beta-logistic distribution. Recent findings also interpret Bern
Externí odkaz:
http://arxiv.org/abs/2312.10710
Autor:
Peng, Linyu, Hydon, Peter E.
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 various systems. Exactness of the bicomplex gives a coordinate-free s
Externí odkaz:
http://arxiv.org/abs/2307.13935
Autor:
Liu, Yaqing, Peng, Linyu
Publikováno v:
Chaos, Solitons & Fractals 171, 113430, 2023
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 $N$-soliton solution are obtained via Hirota's bilinear method, and in particular, t
Externí odkaz:
http://arxiv.org/abs/2212.03432
Autor:
Ono, Yusuke, Peng, Linyu
Publikováno v:
Signal Processing 201, 108728, 2022
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 their mean counterparts. By interpreting the observation data as Hermitian
Externí odkaz:
http://arxiv.org/abs/2205.04156
Publikováno v:
IEEE Transactions on Communications 70, 4107-4120, 2022
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 results in the promotion of separability of data. Inspired by the principl
Externí odkaz:
http://arxiv.org/abs/2204.11278
Publikováno v:
Applied Mathematics and Computation 426, 127126, 2022
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 stochastic dissipative systems, the SHF provides necessary foundations an
Externí odkaz:
http://arxiv.org/abs/2203.12183
Autor:
Peng, Linyu, Hydon, Peter E
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478, 20210944, 2022
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 depend on discrete independent variables. For general mappings, differe
Externí odkaz:
http://arxiv.org/abs/2112.06030