11 citations · 19 across the 12 of their papers we have counts for
12 papers
Learning Entanglement Quasiprobability from Noisy and Incomplete Data
Yu-Zhuo Li, Li-Chao Peng, Ke-Mi Xu
Negativities in quasiprobability distributions, a foundational concept originating in quantum optics, serve as a fundamental signature of quantum nonclassicality, with entanglement…
-invariant integrable systems from factorisation of linear differential and difference operators
Frank Nijhoff, Linyu Peng, Cheng Zhang +1
In this paper, we present a unified approach to constructing continuous and discrete -invariant integrable systems, formulated in terms of the common dependent var…
Analysis of molecular dynamics simulation data via statistical distances between covariance matrices
Yusuke Ono, Takumi Sato, Kenji Yasuoka +1
Molecular dynamics (MD) simulations are powerful tools for elucidating the macroscopic physical properties of materials from microscopic atomic behaviors. However, the massive, hig…
Local profiles of self-similar solutions of the planar stationary Navier--Stokes equations
Ming Li, Linyu Peng, Ping Zhang +1
In this paper, we revisit self-similar solutions of the two-dimensional stationary incompressible Navier-Stokes equations under scaling symmetries, also known as Jeffery-Hamel solu…
Modulated Diffusion: Accelerating Generative Modeling with Modulated Quantization
Weizhi Gao, Zhichao Hou, Junqi Yin +3
Diffusion models have emerged as powerful generative models, but their high computation cost in iterative sampling remains a significant bottleneck. In this work, we present an in-…
Reconstruction of Graph Signals on Complex Manifolds with Kernel Methods
Yu Zhang, Linyu Peng, Bing-Zhao Li
Graph signals are widely used to describe vertex attributes or features in graph-structured data, with applications spanning the internet, social media, transportation, sensor netw…
Stochastic multisymplectic PDEs and their structure-preserving numerical methods
Ruiao Hu, Linyu Peng
We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in […
Euler--Poincaré reduction and the Kelvin--Noether theorem for discrete mechanical systems with advected parameters and additional dynamics
Yusuke Ono, Simone Fiori, Linyu Peng
The Euler--Poincaré equations, firstly introduced by Henri Poincaré in 1901, arise from the application of Lagrangian mechanics to systems on Lie groups that exhibit symmetries, pa…
Discrete Dirac structures and discrete Lagrange--Dirac dynamical systems in mechanics
Linyu Peng, Hiroaki Yoshimura
In this paper, we propose the concept of -discrete Dirac structures over a manifold, where we define -discrete two-forms on the manifold and incorporate discrete cons…
The Comparison of Riemannian Geometric Matrix-CFAR Signal Detectors
Yusuke Ono, Linyu Peng
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 pa…
Information geometry and -parallel prior of the beta-logistic distribution
Lin Jiu, Linyu Peng
The hyperbolic secant distribution has several generalizations with applications in finance. In this study, we explore the dual geometric structure of one such generalization, name…
Moving Frames and Noether's Finite Difference Conservation Laws I
E. L. Mansfield, A. Rojo-Echeburua, L. Peng +1
We consider the calculation of Euler--Lagrange systems of ordinary difference equations, including the difference Noether's Theorem, in the light of the recently-developed calculus…