115 citations · 194 across the 4 of their papers we have counts for
4 papers
Deep Ritz Method with Adaptive Quadrature for Linear Elasticity
Min Liu, Zhiqiang Cai, Karthik Ramani
In this paper, we study the deep Ritz method for solving the linear elasticity equation from a numerical analysis perspective. A modified Ritz formulation using the …
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation
Zhiqiang Cai, Jingshuang Chen, Min Liu
This paper studies least-squares ReLU neural network method for solving the linear advection-reaction problem with discontinuous solution. The method is a discretization of an equi…
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs
Zhiqiang Cai, Jingshuang Chen, Min Liu +1
This paper studies an unsupervised deep learning-based numerical approach for solving partial differential equations (PDEs). The approach makes use of the deep neural network to ap…
DAR-Net: Dynamic Aggregation Network for Semantic Scene Segmentation
Zongyue Zhao, Min Liu, Karthik Ramani
Traditional grid/neighbor-based static pooling has become a constraint for point cloud geometry analysis. In this paper, we propose DAR-Net, a novel network architecture that focus…