107 citations · 488 across the 7 of their papers we have counts for
7 papers
Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data
Hao Xu, Dongxiao Zhang, Nanzhe Wang
Data-driven discovery of partial differential equations (PDEs) has attracted increasing attention in recent years. Although significant progress has been made, certain unresolved i…
Deep-learning of Parametric Partial Differential Equations from Sparse and Noisy Data
Hao Xu, Dongxiao Zhang, Junsheng Zeng
Data-driven methods have recently made great progress in the discovery of partial differential equations (PDEs) from spatial-temporal data. However, several challenges remain to be…
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm
Hao Xu, Haibin Chang, Dongxiao Zhang
Data-driven methods have recently been developed to discover underlying partial differential equations (PDEs) of physical problems. However, for these methods, a complete candidate…
DL-PDE: Deep-learning based data-driven discovery of partial differential equations from discrete and noisy data
Hao Xu, Haibin Chang, Dongxiao Zhang
In recent years, data-driven methods have been developed to learn dynamical systems and partial differential equations (PDE). The goal of such work is discovering unknown physics a…
Regularity of high energy photon events from gamma ray bursts
Haowei Xu, Bo-Qiang Ma
The effect of Quantum Gravity (QG) may bring a tiny light speed variation as , where is the photon energy and is a Lorentz violation scale.…
Light speed variation from gamma ray burst GRB 160509A
Haowei Xu, Bo-Qiang Ma
It is postulated in Einstein's relativity that the speed of light in vacuum is a constant for all observers. However, the effect of quantum gravity could bring an energy dependence…