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Lifting for the integer knapsack cover polyhedron 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 45
作者:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
收藏  |  浏览/下载：81/0  |  提交时间：2023/02/07
Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
收藏  |  浏览/下载：51/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  

Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models

 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 18
作者:  Guo, Ling;  Wu, Hao;  Zhou, Tao
收藏  |  浏览/下载：127/0  |  提交时间：2023/02/07
Data -driven modeling  Normalizing flows  Uncertainty quantification  Random fields  
Large N Limit of the O(N) Linear Sigma Model in 3D 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 57
作者:  Shen, Hao;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：108/0  |  提交时间：2023/02/07
Cubic forms, anomaly cancellation and modularity 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 394, 页码: 46
作者:  Han, Fei;  Huang, Ruizhi;  Liu, Kefeng;  Zhang, Weiping
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Anomaly cancellation  M-theory  Cubic form  Modular form  Twisted Witten class  Spin and spin(c) classes  
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives 期刊论文
INVENTIONES MATHEMATICAE, 2022, 页码: 269
作者:  Liu, Yifeng;  Tian, Yichao;  Xiao, Liang;  Zhang, Wei;  Zhu, Xinwen
收藏  |  浏览/下载：139/0  |  提交时间：2022/04/02
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
作者:  Gong, Wei;  Mateos, Mariano;  Singler, John;  Zhang, Yangwen
收藏  |  浏览/下载：119/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes flows  energy space  regularity  finite element method  error estimates  
AN EFFICIENT MULTIMODES MONTE CARLO HOMOGENIZATION METHOD FOR RANDOM MATERIALS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: A1752-A1774
作者:  Yang, Zihao;  Huang, Jizu;  Feng, Xiaobing;  Guan, Xiaofei
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
stochastic homogenization  multimodes Monte Carlo method  finite element method  convergence and error estimates  random composite materials  
LARGE N LIMIT OF THE O(N) LINEAR SIGMA MODEL VIA STOCHASTIC QUANTIZATION 期刊论文
ANNALS OF PROBABILITY, 2022, 卷号: 50, 期号: 1, 页码: 131-202
作者:  Shen, Hao;  Smith, Scott A.;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：152/0  |  提交时间：2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
Stein variational gradient descent with local approximations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 386, 页码: 20
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：103/0  |  提交时间：2022/04/02
Stein variational gradient decent  Bayesian inference  Deep learning  Local approximation