Fully Supervised Non-Negative Matrix Factorization for Feature Extraction

Linear dimensionality reduction (DR) techniques have been applied with great success in the domain of hyperspectral image (HSI) classification. However, these methods do not take advantage of supervisory information. Instead, they act as a wholly unsupervised, disjoint portion of the classification pipeline, discarding valuable information that could improve classification accuracy. We propose Supervised Non-negative Matrix Factorization (SNMF) to remedy this problem. By learning an NMF representation of the data jointly with a multi-class classifier, we are able to improve classification accuracy in real world problems. Experimental results on a widely used dataset show state of the art performance while maintaining full linearity of the entire DR pipeline.