# Geometric Deep Learning: Group Equivariance and Symmetry Status: public Confidence: medium (0.8) (verified) Last verified: 2026-05-28 Generation: ai_structured ## TL;DR Geometric Deep Learning: Group Equivariance and Symmetry: Geometric deep learning extends neural networks to data with structure such as graphs, manifolds, sets, meshes, and point clouds. ## Core Explanation The field studies how symmetry, invariance, equivariance, and domain geometry shape model architectures. Graph convolutional networks and point-cloud networks are practical examples. ## Further Reading - [Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges](https://arxiv.org/abs/2104.13478) - [Semi-Supervised Classification with Graph Convolutional Networks](https://arxiv.org/abs/1609.02907) - [PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation](https://arxiv.org/abs/1612.00593)