Abstract

Due to the superior spatial–spectral extraction capability of the convolutional neural network (CNN), CNN shows great potential in dimensionality reduction (DR) of hyperspectral images (HSIs). However, most CNN-based methods are supervised while the class labels of HSIs are limited and difficult to obtain. While a few unsupervised CNN-based methods have been proposed recently, they always focus on data reconstruction and are lacking in the exploration of discriminability which is usually the primary goal of DR. To address these issues, we propose a deep fully convolutional embedding network (DFCEN), which not only considers data reconstruction but also introduces the specific learning task of enhancing feature discriminability. DFCEN has an end-to-end symmetric network structure that is the key for unsupervised learning. Moreover, a novel objective function containing two terms—the reconstruction term and the embedding term of a specific task—is established to supervise the learning of DFCEN towards improving the completeness and discriminability of low-dimensional data. In particular, the specific task is designed to explore and preserve relationships among samples in HSIs. Besides, due to the limited training samples, inherent complexity and the presence of noise in HSIs, a preprocessing where a few noise spectral bands are removed is adopted to improve the effectiveness of unsupervised DFCEN. Experimental results on three well-known hyperspectral datasets and two classifiers illustrate that the low dimensional features of DFCEN are highly separable and DFCEN has promising classification performance compared with other DR methods.

Highlights

  • With the rapid development of modern technology, hyperspectral imaging technology has been widely used in many fields, such as geology [1], ecology [2], geomorphology [3], atmospheric science [4], forensic science [5] and so on, not just in remote sensing satellite sensors and airborne platforms

  • (1) Radiometric noise in some bands limits the precision of image processing [6]. (2) Some redundant bands reduce the quality of image analysis since the adjacent spectral bands are often correlated and not all bands are valuable for image processing [7]. (3) These redundant bands lead to the cost of huge computational resources and storage space [8]. (4) There is a Hughes phenomenon, that is, the higher the data dimensionality, the poorer the classification performance because

  • deep fully convolutional embedding network (DFCEN) is compared with several dimensionality reduction algorithms, such as Laplacian eigenmaps (LE) [11], locally linear embedding (LLE) [11], SAE, spatial-domain local pixel neighborhood preserving embedding (NPE) (LPNPE) [38], spatial and spectral regularized local discriminant embedding (SSRLDE) [38], SSMRPE [39], spatial–spectral local discriminant projection (SSLDP) [40]

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Summary

Introduction

With the rapid development of modern technology, hyperspectral imaging technology has been widely used in many fields, such as geology [1], ecology [2], geomorphology [3], atmospheric science [4], forensic science [5] and so on, not just in remote sensing satellite sensors and airborne platforms. Han et al [21] proposed a different-scale two-stream convolutional network for HSIs. Han et al [21] proposed a different-scale two-stream convolutional network for HSIs These CNN-based methods can extract superior hyperspectral image features for classification, but they generally require enough class label samples for supervised learning. The class label samples of HSIs are scarce and limited, and even unavailable in some scenarios To address this issue, a few of unsupervised CNN-based methods have been proposed for HSIs. Mou et al [22] proposed a deep residual conv-deconv network for unsupervised spectral-spatial feature learning. This allows DFCEN to explore completeness and discriminability compared to the previous unsupervised CNN-based approaches This is the first work to introduce LLE and LE into an unsupervised fully convolutional network, which simultaneously solved their out-of-sample, linear transformation, and spatial feature extraction problem.

Mutual Information
Locally Linear Embedding
Laplacian Eigenmaps
Convolutional Autoencoder
The Proposed Method
Data Preprocessing
Structure of DFCEN
Objective Function of DFCEN
LLE-Based Embedding Term
LE-Based Embedding Term
Reconstruction Term
Objective Function
Learning of DFCEN
Description of Data Sets
Experimental Setup
Parameters Analysis
Convergence and Discriminant Analysis
Classification Performance
Findings
Conclusions
Full Text
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