Automatic Graph Learning Convolutional Networks for Hyperspectral Image Classification

The excellent performance of graph convolutional networks (GCNs) on non-Euclidean data has drawn widespread attention from the hyperspectral image classification (HSIC) community, where the predefined graph (including node modeling and adjacency matrix calculation) plays a key role. However, existing GCN-based methods rely on manual efforts in constructing and updating graphs, and the superpixel-based node features lack high-level semantics. In this article, we propose an automatic graph learning convolutional network (Auto-GCN), which unifies the graph learning and HSIC in a & x201C;network-in-network & x201D; manner. Specifically, the graph is employed to model the interaction of the high-order tensors. Considering the powerful learning and representation capabilities of convolutional neural networks (CNNs), the semisupervised Siamese network (SiamNet) is embedded into GCNs and HSIC networks to accomplish the automatic learning and dynamic updating of the graph. GCNs further encode and infer the dynamic graph, and then, the learnable graph reprojection matrix is designed to assign graph representations to pixels. The dynamic graph serves the HSIC task during forward propagation, while the HSIC task continuously corrects the graph during backward propagation. Therefore, the & x201C;automatic & x201D; of the proposed Auto-GCN is not only reflected in the fact that the graph representation is designed and updated by an end-to-end network but is also HSIC task-oriented. The experimental results show that the proposed Auto-GCN outperforms other state-of-the-art methods on four publicly available hyperspectral datasets.