111 citations
- Chinese Academy of SciencesCN34 papers
- Academy of Mathematics and Systems ScienceCN31 papers
- Institute of Theoretical PhysicsCN5 papers
- Tsinghua UniversityCN4 papers
- University of Chinese Academy of SciencesCN4 papers
- University of MinnesotaUS3 papers
- Beihang UniversityCN2 papers
- Chinese University of Hong KongHK2 papers
- National Center for Mathematics and Interdisciplinary SciencesCN2 papers
- National Cheng Kung UniversityTW2 papers
- North China Electric Power UniversityCN2 papers
- Pennsylvania State UniversityUS2 papers
42 papers
Projected gradient descent algorithm for crystal structure relaxation under a fixed unit cell volume
Yukuan Hu, Junlei Yin, Xingyu Gao +2
This paper is concerned with crystal structure relaxation under a fixed unit cell volume, which is a step in calculating the static equations of state and form…
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…
Drift-preserving numerical integrators for stochastic Hamiltonian systems
Chuchu Chen, David Cohen, Raffaele D'Ambrosio +1
The paper deals with numerical discretizations of separable nonlinear Hamiltonian systems with additive noise. For such problems, the expected value of the total energy, along the…
High Order Explicit Local Time-Stepping Methods For Hyperbolic Conservation Laws
Thi-Thao-Phuong Hoang, Lili Ju, Wei Leng +1
In this paper we present and analyze a general framework for constructing high order explicit local time stepping (LTS) methods for hyperbolic conservation laws. In particular, we…
Subset Selection for Matrices with Fixed Blocks
Jiaxin Xie, Zhiqiang Xu
Subset selection for matrices is the task of extracting a column sub-matrix from a given matrix with such that the pseudoinverse of the sampled m…
Understanding the Acceleration Phenomenon via High-Resolution Differential Equations
Bin Shi, Simon S. Du, Michael I. Jordan +1
Gradient-based optimization algorithms can be studied from the perspective of limiting ordinary differential equations (ODEs). Motivated by the fact that existing ODEs do not disti…