Crack-Net: Prediction of Crack Propagation in Composites

no code implementations • 24 Sep 2023 • Hao Xu, Wei Fan, Ambrose C. Taylor, Dongxiao Zhang, Lecheng Ruan, Rundong Shi

Computational solid mechanics has become an indispensable approach in engineering, and numerical investigation of fracture in composites is essential as composites are widely used in structural applications.

Transfer Learning

Deep ReLU Networks Have Surprisingly Simple Polytopes

no code implementations • 16 May 2023 • Feng-Lei Fan, Wei Huang, Xiangru Zhong, Lecheng Ruan, Tieyong Zeng, Huan Xiong, Fei Wang

A ReLU network is a piecewise linear function over polytopes.

Cloud-RAIN: Point Cloud Analysis with Reflectional Invariance

1 code implementation • 13 May 2023 • Yiming Cui, Lecheng Ruan, Hang-Cheng Dong, Qiang Li, Zhongming Wu, Tieyong Zeng, Feng-Lei Fan

We prove a theorem to explain why Cloud-RAIN can enjoy reflection symmetry.

Data Augmentation

One Neuron Saved Is One Neuron Earned: On Parametric Efficiency of Quadratic Networks

1 code implementation • 11 Mar 2023 • Feng-Lei Fan, Hang-Cheng Dong, Zhongming Wu, Lecheng Ruan, Tieyong Zeng, Yiming Cui, Jing-Xiao Liao

In this paper, with theoretical and empirical studies, we show that quadratic networks enjoy parametric efficiency, thereby confirming that the superior performance of quadratic networks is due to the intrinsic expressive capability.