no code implementations • 27 Feb 2024 • Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang, George Em Karniadakis
We propose a two-scale neural network method for solving partial differential equations (PDEs) with small parameters using physics-informed neural networks (PINNs).
no code implementations • 12 Feb 2024 • Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi
The score function, defined as the gradient of the LL, plays a fundamental role in inferring LL and PDF and enables fast SDE sampling.
no code implementations • 11 Jan 2024 • Siavash Jafarzadeh, Stewart Silling, Ning Liu, Zhongqiang Zhang, Yue Yu
In this work, we introduce a novel integral neural operator architecture called the Peridynamic Neural Operator (PNO) that learns a nonlocal constitutive law from data.
1 code implementation • 11 Mar 2020 • Ehsan Kharazmi, Zhongqiang Zhang, George Em. Karniadakis
We formulate a general framework for hp-variational physics-informed neural networks (hp-VPINNs) based on the nonlinear approximation of shallow and deep neural networks and hp-refinement via domain decomposition and projection onto space of high-order polynomials.
no code implementations • 29 Sep 2018 • Guangming Shi, Zhongqiang Zhang, Dahua Gao, Xuemei Xie, Yihao Feng, Xinrui Ma, Danhua Liu
Besides, to enhance the recognition ability of the semantic tree in aspects of the diversity, randomicity and variability, we use the traditional neural network to aid the semantic tree to learn some indescribable features.