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Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
Authors:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
Favorite  |  View/Download：17/0  |  Submit date：2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Manifold alignment for heterogeneous single-cell multi-omics data integration using Pamona 期刊论文
BIOINFORMATICS, 2022, 卷号: 38, 期号: 1, 页码: 211-219
Authors:  Cao, Kai;  Hong, Yiguang;  Wan, Lin
Favorite  |  View/Download：97/0  |  Submit date：2022/04/02
OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle 期刊论文
PHYSICAL REVIEW FLUIDS, 2021, 卷号: 6, 期号: 11, 页码: 32
Authors:  Yu, Haijun;  Tian, Xinyuan;  Weinan, E.;  Li, Qianxiao
Favorite  |  View/Download：63/0  |  Submit date：2022/04/02
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
Authors:  Hong, Jialin;  Ji, Lihai;  Wang, Xu;  Zhang, Jingjing
Favorite  |  View/Download：72/0  |  Submit date：2022/04/02
Stochastic Lotka-Volterra predator-prey model  Positivity  Stochastic symplecticity  Structure-preserving methods  Convergence order conditions  
Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
Authors:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
Favorite  |  View/Download：95/0  |  Submit date：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
Authors:  Chen, Chuchu;  Hong, Jialin;  Sim, Chol;  Sonwu, Kwang
Favorite  |  View/Download：117/0  |  Submit date：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
Authors:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
Favorite  |  View/Download：83/0  |  Submit date：2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization  
TSEE: an elastic embedding method to visualize the dynamic gene expression patterns of time series single-cell RNA sequencing data 期刊论文
BMC GENOMICS, 2019, 卷号: 20, 页码: 16
Authors:  An, Shaokun;  Ma, Liang;  Wan, Lin
Favorite  |  View/Download：137/0  |  Submit date：2019/10/28
Nonlinear dimensionality reduction  Elastic embedding  Visualization  Single-cell RNA sequencing  Time series  Cell fate decisions  Gene expression pattern  Oscillation  In-group proportion  
Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations PREFACE 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 1-2
Authors:  Sheng, Qin;  Tang, Yifa;  Wade, Bruce A.;  Wang, Yushun
Favorite  |  View/Download：98/0  |  Submit date：2018/07/30
LLE Score: A New Filter-Based Unsupervised Feature Selection Method Based on Nonlinear Manifold Embedding and Its Application to Image Recognition 期刊论文
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2017, 卷号: 26, 期号: 11, 页码: 5257-5269
Authors:  Yao, Chao;  Liu, Ya-Feng;  Jiang, Bo;  Han, Jungong;  Han, Junwei
Favorite  |  View/Download：90/0  |  Submit date：2018/07/30
Unsupervised learning  feature selection  manifold learning  image recognition