基于潜在低秩图判别分析的高光谱分类

提出一种基于潜在低秩图判别分析（LatLGDA）算法，利用数据的自表示对数据的列表示系数矩阵和行表示系数矩阵同时施加低秩约束，得到保留数据结构的亲和矩阵，再与图嵌入模型相结合实现高光谱图像的流形降维并进行分类。与其他基于稀疏图或稀疏低秩图的高光谱特征提取算法相比，LatLGDA可利用数据的行信息弥补列信息的不足或缺失，对噪音的抗干扰能力更强；在真实数据集上的实验结果表明，LatLGDA算法具有较高的分类精度和运算效率，应用前景广阔。

Hyperspectral image classification based on latent low-rank graphs

In this paper, latent low-rank graph discrimination analysis (LatLGDA) is proposed. Our algorithm uses self-representation of the data to apply low-rank constraints to the column and row representation coefficient matrix in order to obtain the affinity matrix of the retained data structure. Combined with a graph embedding model, both manifold dimension reduction and classification of hyperspectral images can be realized. Compared with other hyperspectral feature extraction algorithms based on principles such as sparse graphs or sparse and low-rank graph discrimination analysis, LatLGDA can use the row information data to compensate for the lack of column information and has better resistance to interference from noise. Experiments on a real hyperspectral data set from the University of Pavia demonstrate that LatLGDA has the advantages of high classification accuracy, fast operation efficiency and broad application prospects.