447 citations · 782 across the 31 of their papers we have counts for
6 papers · 1 filter
Parameterized Wasserstein Hamiltonian Flow
Hao Wu, Shu Liu, Xiaojing Ye +1
In this work, we propose a numerical method to compute the Wasserstein Hamiltonian flow (WHF), which is a Hamiltonian system on the probability density manifold. Many well-known PD…
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs
Nathan Gaby, Xiaojing Ye, Haomin Zhou
We develop a novel computational framework to approximate solution operators of evolution partial differential equations (PDEs). By employing a general nonlinear reduced-order mode…
Numerical Solution of Inverse Problems by Weak Adversarial Networks
Gang Bao, Xiaojing Ye, Yaohua Zang +1
We consider a weak adversarial network approach to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomogra…
Weak Adversarial Networks for High-dimensional Partial Differential Equations
Yaohua Zang, Gang Bao, Xiaojing Ye +1
Solving general high-dimensional partial differential equations (PDE) is a long-standing challenge in numerical mathematics. In this paper, we propose a novel approach to solve hig…
A Jump Stochastic Differential Equation Approach for Influence Prediction on Information Propagation Networks
Yaohua Zang, Gang Bao, Xiaojing Ye +2
We propose a novel problem formulation of continuous-time information propagation on heterogenous networks based on jump stochastic differential equations (SDE). The structure of t…
Joint image edge reconstruction and its application in multi-contrast MRI
Yunmei Chen, Ruogu Fang, Xiaojing Ye
We propose a new joint image reconstruction method by recovering edge directly from observed data. More specifically, we reformulate joint image reconstruction with vectorial total…