SOML: Structure-Wise Ordinal Measure Learning for Hyperspectral Image Classification.

The hyperspectral image (HSI) classification has achieved the great successes in many practical applications. In this article, we propose a novel structure-wise ordinal measure-based learning method (SOML) for the HSI classification. Specifically, the ordinal measure (OM) tool is used to construct the feature representation model, which yields the ordinal features reflecting the spectral direction information of the HSI. Additionally, the selected support vector machine (SVM) classifier is integrated into such feature representation model, which aims to guarantee the consistency between ordinal features and the SVM classifier. Further, the $\epsilon $ -dragging technique and low-rank representation are introduced for capturing the structure information of the HSI, which encourage the output ordinal features to be more separable and discriminative. We also design a proximal alternating optimization strategy to solve the constructed SOML model, and thus the optimal projection can be learned to map all samples into the ordinal features. The SVM is further used to classify these features to predict the results. Different from traditional classification methods, our proposed SOML method fully considers the information utilization of the HSI, relationship with the selected SVM classifier, and distribution of features in the stage of feature extraction, which further improve the discrimination and separability. Extensive experiments have been given to validate that the proposed SOML method achieves more competitive classification performance compared with several state-of-the-art algorithms.