4 papers
Image registration of 2D optical thin sections in a 3D porous medium: Application to a Berea sandstone digital rock image
Jaehong Chung, Wei Cai, Tapan Mukerji
This study proposes a systematic image registration approach to align 2D optical thin-section images within a 3D digital rock volume. Using template image matching with differentia…
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Zhi-Qin John Xu, Lulu Zhang, Wei Cai
In this review, we survey the latest approaches and techniques developed to overcome the spectral bias towards low frequency of deep neural network learning methods in learning mul…
Deep Neural Networks with Symplectic Preservation Properties
Qing He, Wei Cai
We propose a deep neural network architecture designed such that its output forms an invertible symplectomorphism of the input. This design draws an analogy to the real-valued non-…
Multiscale Physics-Informed Neural Networks for the Inverse Design of Hyperuniform Optical Materials
Roberto Riganti, Yilin Zhu, Wei Cai +2
In this article, we employ multiscale physics-informed neural networks (MscalePINNs) for the inverse design of finite-size photonic materials with stealthy hyperuniform (SHU) disor…