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Singular HJB equations with applications to KPZ on the real line 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2022, 页码: 81
作者:  Zhang, Xicheng;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：37/0  |  提交时间：2023/02/07
Singular SPDEs  HJB equations  KPZ equations  Paracontrolled distributions  Global well-posedness  Zvonkin's transformation  
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：170/0  |  提交时间：2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
Algorithms yield upper bounds in differential algebra 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 页码: 23
作者:  Li, Wei;  Ovchinnikov, Alexey;  Pogudin, Gleb;  Scanlon, Thomas
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
delay PDEs  elimination of unknowns  uniform bounds  oracle machine  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：131/0  |  提交时间：2022/04/02
Rational dynamical systems, S-units, and D-finite power series 期刊论文
ALGEBRA & NUMBER THEORY, 2021, 卷号: 15, 期号: 7, 页码: 1699-1728
作者:  Bell, Jason P.;  Chen, Shaoshi;  Hossain, Ehsaan
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
S-units  D-finite series  arithmetic dynamics  algebraic groups  orbits  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
作者:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
收藏  |  浏览/下载：116/0  |  提交时间：2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
作者:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
收藏  |  浏览/下载：162/0  |  提交时间：2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 28, 期号: 5, 页码: 2180-2205
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Bayesian inverse problems  deep neural networks  multi-fidelity surrogate modeling  Markov chain Monte Carlo  
Deep spatial-temporal structure learning for rumor detection on Twitter 期刊论文
NEURAL COMPUTING & APPLICATIONS, 2020, 页码: 11
作者:  Huang, Qi;  Zhou, Chuan;  Wu, Jia;  Liu, Luchen;  Wang, Bin
收藏  |  浏览/下载：174/0  |  提交时间：2020/09/23
Rumor detection  Spatial-temporal structure learning  
SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：149/0  |  提交时间：2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval