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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Stochastic Lag Time Parameterization for Markov State Models of Protein Dynamics 期刊论文
JOURNAL OF PHYSICAL CHEMISTRY B, 2022, 页码: 11
作者:  Gong, Shiqi;  He, Xinheng;  Meng, Qi;  Ma, Zhiming;  Shao, Bin;  Wang, Tong;  Liu, Tie-Yan
收藏  |  浏览/下载:74/0  |  提交时间:2023/02/07
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载:78/0  |  提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
Algorithms for the Prize-Collecting $k$-Steiner Tree Problem 期刊论文
TSINGHUA SCIENCE AND TECHNOLOGY, 2022, 卷号: 27, 期号: 5, 页码: 785-792
作者:  Han, Lu;  Wang, Changjun;  Xu, Dachuan;  Zhang, Dongmei
收藏  |  浏览/下载:150/0  |  提交时间:2022/04/29
Steiner trees  Costs  Approximation algorithms  prize-collecting  Steiner tree  approximation algorithm  
Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载:68/0  |  提交时间:2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
Constructing the Basis Path Set by Eliminating the Path Dependency 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 页码: 19
作者:  Zhu Juanping;  Meng Qi;  Chen Wei;  Wang Yue;  Ma Zhiming
收藏  |  浏览/下载:76/0  |  提交时间:2023/02/07
Basis path  neural network  path dependency  path subdivision chain  substructure path  
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
作者:  CHEN, Z. H. I. M. I. N. G.;  ZHANG, W. E. N. L. O. N. G.;  ZOU, J. U. N.
收藏  |  浏览/下载:95/0  |  提交时间:2023/02/07
inverse source problems  regularization  finite element approximation  stochastic error estimates  
Approximate distance correlation for selecting highly interrelated genes across datasets 期刊论文
PLOS COMPUTATIONAL BIOLOGY, 2021, 卷号: 17, 期号: 11, 页码: 18
作者:  Shen, Qunlun;  Zhang, Shihua
收藏  |  浏览/下载:129/0  |  提交时间:2022/04/02
Algorithms for the metric ring star problem with fixed edge-cost ratio 期刊论文
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2021, 卷号: 42, 期号: 3, 页码: 499-523
作者:  Chen, Xujin;  Hu, Xiaodong;  Jia, Xiaohua;  Tang, Zhongzheng;  Wang, Chenhao;  Zhang, Ying
收藏  |  浏览/下载:145/0  |  提交时间:2022/04/02
Ring star  Approximation algorithms  Heuristics  Local search  Connected facility location  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
作者:  Hu, Lijun;  Yuan, Li
收藏  |  浏览/下载:130/0  |  提交时间:2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing