197 citations
- Academy of Mathematics and Systems ScienceCN106 papers
- Chinese Academy of SciencesCN96 papers
- University of Chinese Academy of SciencesCN35 papers
- Institute of Modern PhysicsCN6 papers
- Institute of PhysicsPL6 papers
- Northwest UniversityCN6 papers
- Peking UniversityCN6 papers
- Capital Normal UniversityCN5 papers
- Collaborative Innovation Center of Quantum MatterCN5 papers
- Southern University of Science and TechnologyCN5 papers
- University of HoustonUS5 papers
- RWTH Aachen UniversityDE4 papers
10 papers · 1 filter
Flocking with General Local Interaction and Large Population
Ge Chen, Zhixin Liu
This paper studies a flocking model in which the interaction between agents is described by a general local nonlinear function depending on the distance between agents.
Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves
Guanju Xiao, Lixia Luo, Yingpu Deng
Loops and cycles play an important role in computing endomorphism rings of supersingular elliptic curves and related cryptosystems. For a supersingular elliptic curve defined o…
Study of Constrained Network Structures for WGANs on Numeric Data Generation
Wei Wang, Chuang Wang, Tao Cui +1
Some recent studies have suggested using GANs for numeric data generation such as to generate data for completing the imbalanced numeric data. Considering the significant differenc…
ChebNet: Efficient and Stable Constructions of Deep Neural Networks with Rectified Power Units via Chebyshev Approximations
Shanshan Tang, Bo Li, Haijun Yu
In a previous study [B. Li, S. Tang and H. Yu, Commun. Comput. Phy. 27(2):379-411, 2020], it is shown that deep neural networks built with rectified power units (RePU) as activatio…
Spectrally accurate space-time solution of Manakov systems
Luigi Barletti, Luigi Brugnano, Yifa Tang +1
In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration…
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
Hong-lin Liao, Tao Tang, Tao Zhou
In this work, we present a second-order nonuniform time-stepping scheme for the time-fractional Allen-Cahn equation. We show that the proposed scheme preserves the discrete maximum…