Weighted Low-Rank Representation-Based Dimension Reduction for Hyperspectral Image Classification

摘要

A predimension-reduction algorithm that couples weighted low-rank representation (WLRR) with a skinny intrinsic mode functions (IMFs) dictionary is proposed for hyperspectral image (HSI) classification. It seeks a low-rank subspace to solve the performance degradation issue encountered by linear discriminant analysis in a small-sample-size situation. It can also improve the scatter matrix estimation when using a large training set. Unlike those commonly used methods, e.g., the principal component analysis-based ones, WLRR focuses on preserving more structure information. Based on the traditional LRR model, WLRR introduces a local weighted regularization to characterize the correlation between samples such that HSI-specific local structure can be better preserved as well as its global structure. Indeed, more structure information gives more additional discriminant ability. Furthermore, a new discriminant IMFs dictionary is designed to enhance interclass difference via empirical mode decomposition. The proposed method is investigated on several HSI data sets. All experimental results prove it a competitive and promising predimension-reduction means when compared to other traditional techniques.