10 citations · 25 across the 14 of their papers we have counts for
7 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…
A continuation multiple shooting method for Wasserstein geodesic equation
Jianbo Cui, Luca Dieci, Haomin Zhou
In this paper, we propose a numerical method to solve the classic -optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continu…
Time-frequency representation of nonstationary signals: the IMFogram
Philippe Barbe, Antonio Cicone, Wing Suet Li +1
Iterative filtering methods were introduced around 2010 to improve definitions and measurements of structural features in signal processing. Like many applied techniques, they pres…
Time Discretizations of Wasserstein-Hamiltonian Flows
Jianbo Cui, Luca Dieci, Haomin Zhou
We study discretizations of Hamiltonian systems on the probability density manifold equipped with the -Wasserstein metric. Based on discrete optimal transport theory, several…
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…