Extreme sparse multinomial logistic regression: a fast and robust framework for hyperspectral image classification.

Cao, Faxian; Yang, Zhijing; Ren, Jinchang; Ling, Wing-Kuen; Zhao, Huimin; Marshall, Stephen

Abstract

Although sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has significantly constrained its applications for hyperspectral image (HSI) classification. In order to tackle these two drawbacks, an extreme sparse multinomial logistic regression (ESMLR) is proposed for effective classification of HSI. First, the HSI dataset is projected to a new feature space with randomly generated weight and bias. Second, an optimization model is established by the Lagrange multiplier method and the dual principle to automatically determine a good initial regressor for SMLR via minimizing the training error and the regressor value. Furthermore, the extended multi-attribute profiles (EMAPs) are utilized for extracting both the spectral and spatial features. A combinational linear multiple features learning (MFL) method is proposed to further enhance the features extracted by ESMLR and EMAPs. Finally, the logistic regression via the variable splitting and the augmented Lagrangian (LORSAL) is adopted in the proposed framework for reducing the computational time. Experiments are conducted on two well-known HSI datasets, namely the Indian Pines dataset and the Pavia University dataset, which have shown the fast and robust performance of the proposed ESMLR framework.

Citation

CAO, F., YANG, Z., REN, J., LING, W.-K., ZHAO, H. and MARSHALL, S. 2017. Extreme sparse multinomial logistic regression: a fast and robust framework for hyperspectral image classification. Remote sensing [online], 9(12), article number 1255. Available from: https://doi.org/10.3390/rs9121255

• Journal Article Type: Article
• Acceptance Date: Nov 30, 2017
• Online Publication Date: Dec 2, 2017
• Publication Date: Dec 31, 2017
• Deposit Date: Jul 23, 2024
• Publicly Available Date: Jul 23, 2024
• Journal: Remote sensing
• Electronic ISSN: 2072-4292
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 12
• Article Number: 1255
• DOI: https://doi.org/10.3390/rs9121255
• Keywords: Hyperspectral image (HSI) classification; Sparse multinomial logistic regression (SMLR); Extreme sparse multinomial logistic regression (ESMLR); Extended multi-attribute profiles (EMAPs); Linear multiple features learning (MFL); Lagrange multipliers
• Public URL: https://rgu-repository.worktribe.com/output/2059156