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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  
Statistical estimation in passenger-to-train assignment models based on automated data 期刊论文
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2021, 页码: 21
作者:  Xiong, Shifeng;  Li, Chunya;  Sun, Xuan;  Qin, Yong;  Wu, Chien-Fu Jeff
收藏  |  浏览/下载：119/0  |  提交时间：2022/04/02
EM algorithm  Gaussian process interpolation  nonparametric density estimation  passenger flow  spline  
Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds 期刊论文
POTENTIAL ANALYSIS, 2018, 卷号: 48, 期号: 2, 页码: 181-206
作者:  Fang, Shizan;  Luo, Dejun
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
Navier-Stokes equations  Stochastic representation  de Rham-Hodge Laplacian  Stochastic flow  Pull-back vector field  
The Ito SDEs and Fokker-Planck equations with Osgood and Sobolev coefficients 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 3, 页码: 379-410
作者:  Luo, Dejun
收藏  |  浏览/下载：182/0  |  提交时间：2018/07/30
Stochastic differential equation  Osgood and Sobolev condition  DiPerna-Lions theory  Fokker-Planck equation  stochastic flow  
CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 卷号: 56, 期号: 1, 页码: 19-52
作者:  Zong, Xiaofeng;  Li, Tao;  Zhang, Ji-Feng
收藏  |  浏览/下载：146/0  |  提交时间：2018/07/30
multi-agent system  additive noise  multiplicative noise  mean square consensus  almost sure consensus  
Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 306, 页码: 500-519
作者:  Chen, Chuchu;  Hong, Jialin;  Zhang, Liying
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Stochastic Maxwell equations  Stochastic Hamiltonian partial differential equations  Dissipative property of averaged energy  Conservation law of averaged divergence  Stochastic multi-symplectic method  
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
stochastic Schrodinger equation  infinite-dimensional stochastic Hamiltonian system  symplectic structure  symplectic Runge-Kutta method  semidiscretization  mean-square convergence order  
Quasi-invariance of the Stochastic Flow Associated to It's SDE with Singular Time-Dependent Drift 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2015, 卷号: 28, 期号: 4, 页码: 1743-1762
作者:  Luo, Dejun
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Stochastic differential equation  Strong solution  Flow of homeomorphisms  Quasi-invariance  Zvonkin-type transformation  
Generalized stochastic flow associated to the Ito SDE with partially Sobolev coefficients and its application 期刊论文
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2015, 卷号: 14, 期号: 2, 页码: 535-573
作者:  Luo, Dejun
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 卷号: 87, 期号: 4, 页码: 680-701
作者:  Luo, Dejun
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
Navier-Stokes equation  Brownian motion  group of volume-preserving homeomorphisms  rotation process