no code implementations • 23 May 2024 • Chuqi Chen, Yahong Yang, Yang Xiang, Wenrui Hao
Our experimental and theoretical analyses demonstrate that, from a training perspective, AD outperforms FD in solving partial differential equations.
1 code implementation • 23 May 2024 • Wenrui Hao, Xinliang Liu, Yahong Yang
Solving nonlinear partial differential equations (PDEs) with multiple solutions using neural networks has found widespread applications in various fields such as physics, biology, and engineering.
no code implementations • 26 Sep 2023 • Yahong Yang, Qipin Chen, Wenrui Hao
In this paper, we present a novel training approach called the Homotopy Relaxation Training Algorithm (HRTA), aimed at accelerating the training process in contrast to traditional methods.
1 code implementation • 6 Apr 2023 • Haoyang Zheng, Yao Huang, Ziyang Huang, Wenrui Hao, Guang Lin
Due to the complex behavior arising from non-uniqueness, symmetry, and bifurcations in the solution space, solving inverse problems of nonlinear differential equations (DEs) with multiple solutions is a challenging task.
no code implementations • 20 Apr 2022 • Yushuang Luo, Xiantao Li, Wenrui Hao
In this paper, we introduce a data-driven modeling approach for dynamics problems with latent variables.
no code implementations • 1 Sep 2021 • Qipin Chen, Wenrui Hao, Juncai He
To address this challenge, we study neural networks from a nonlinear computation point of view and propose a novel weight initialization strategy that is based on the linear product structure (LPS) of neural networks.
no code implementations • 28 Jan 2021 • Yushuang Luo, Xiantao Li, Wenrui Hao
Fluid-structure interactions are central to many bio-molecular processes, and they impose a great challenge for computational and modeling methods.
Numerical Analysis Numerical Analysis
no code implementations • ICLR 2020 • Qipin Chen, Wenrui Hao
We present a Homotopy Training Algorithm (HTA) to solve optimization problems arising from neural networks.
no code implementations • 3 Oct 2019 • Jianhong Chen, Huang Huang, Wenrui Hao, Jinchao Xu
Pulse feeling, representing the tactile arterial palpation of the heartbeat, has been widely used in traditional Chinese medicine (TCM) to diagnose various diseases.