4.7 Article

Weighted Sparse Graph Based Dimensionality Reduction for Hyperspectral Images

Journal

IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
Volume 13, Issue 5, Pages 686-690

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LGRS.2016.2536658

Keywords

Dimensionality reduction (DR); hyperspectral image (HSI); nearest neighbor graph; sparse graph embedding (SGE); weighted sparse coding

Funding

  1. National Natural Science Foundation of China [61201342, 41431175]
  2. Fundamental Research Funds for Central Universities [2015904020202]

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Dimensionality reduction (DR) is an important and helpful preprocessing step for hyperspectral image (HSI) classification. Recently, sparse graph embedding (SGE) has been widely used in the DR of HSIs. SGE explores the sparsity of the HSI data and can achieve good results. However, in most cases, locality is more important than sparsity when learning the features of the data. In this letter, we propose an extended SGE method: the weighted sparse graph based DR (WSGDR) method for HSIs. WSGDR explicitly encourages the sparse coding to be local and pays more attention to those training pixels that are more similar to the test pixel in representing the test pixel. Furthermore, WSGDR can offer data-adaptive neighborhoods, which results in the proposed method being more robust to noise. The proposed method was tested on two widely used HSI data sets, and the results suggest that WSGDR obtains sparser representation results. Furthermore, the experimental results also confirm the superiority of the proposed WSGDR method over the other state-of-the-art DR methods.

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