Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint

Due to the high dimensionality and high data redundancy of hyperspectral remote sensing images, it is difficult to maintain the nonlinear structural relationship in the dimensionality reduction representation of hyperspectral data. In this paper, a feature representation method based on high order c...

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Autores principales: Xiaodong Yu, Rui Ding, Jingbo Shao, Xiaohui Li
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:230209c8db7e4450aaf0b59e755ca9272021-11-11T15:39:41ZHyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint10.3390/electronics102126672079-9292https://doaj.org/article/230209c8db7e4450aaf0b59e755ca9272021-10-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/21/2667https://doaj.org/toc/2079-9292Due to the high dimensionality and high data redundancy of hyperspectral remote sensing images, it is difficult to maintain the nonlinear structural relationship in the dimensionality reduction representation of hyperspectral data. In this paper, a feature representation method based on high order contractive auto-encoder with nuclear norm constraint (CAE-HNC) is proposed. By introducing Jacobian matrix in the CAE of the nuclear norm constraint, the nuclear norm has better sparsity than the Frobenius norm and can better describe the local low dimension of the data manifold. At the same time, a second-order penalty term is added, which is the Frobenius norm of the Hessian matrix expressed in the hidden layer of the input, encouraging a smoother low-dimensional manifold geometry of the data. The experiment of hyperspectral remote sensing image shows that CAE-HNC proposed in this paper is a compact and robust feature representation method, which provides effective help for the ground object classification and target recognition of hyperspectral remote sensing image.Xiaodong YuRui DingJingbo ShaoXiaohui LiMDPI AGarticlehyperspectral remote sensing imagesfeature representationnuclear normcontractive auto-encoderElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2667, p 2667 (2021)
institution DOAJ
collection DOAJ
language EN
topic hyperspectral remote sensing images
feature representation
nuclear norm
contractive auto-encoder
Electronics
TK7800-8360
spellingShingle hyperspectral remote sensing images
feature representation
nuclear norm
contractive auto-encoder
Electronics
TK7800-8360
Xiaodong Yu
Rui Ding
Jingbo Shao
Xiaohui Li
Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
description Due to the high dimensionality and high data redundancy of hyperspectral remote sensing images, it is difficult to maintain the nonlinear structural relationship in the dimensionality reduction representation of hyperspectral data. In this paper, a feature representation method based on high order contractive auto-encoder with nuclear norm constraint (CAE-HNC) is proposed. By introducing Jacobian matrix in the CAE of the nuclear norm constraint, the nuclear norm has better sparsity than the Frobenius norm and can better describe the local low dimension of the data manifold. At the same time, a second-order penalty term is added, which is the Frobenius norm of the Hessian matrix expressed in the hidden layer of the input, encouraging a smoother low-dimensional manifold geometry of the data. The experiment of hyperspectral remote sensing image shows that CAE-HNC proposed in this paper is a compact and robust feature representation method, which provides effective help for the ground object classification and target recognition of hyperspectral remote sensing image.
format article
author Xiaodong Yu
Rui Ding
Jingbo Shao
Xiaohui Li
author_facet Xiaodong Yu
Rui Ding
Jingbo Shao
Xiaohui Li
author_sort Xiaodong Yu
title Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
title_short Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
title_full Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
title_fullStr Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
title_full_unstemmed Hyperspectral Remote Sensing Image Feature Representation Method Based on CAE-H with Nuclear Norm Constraint
title_sort hyperspectral remote sensing image feature representation method based on cae-h with nuclear norm constraint
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/230209c8db7e4450aaf0b59e755ca927
work_keys_str_mv AT xiaodongyu hyperspectralremotesensingimagefeaturerepresentationmethodbasedoncaehwithnuclearnormconstraint
AT ruiding hyperspectralremotesensingimagefeaturerepresentationmethodbasedoncaehwithnuclearnormconstraint
AT jingboshao hyperspectralremotesensingimagefeaturerepresentationmethodbasedoncaehwithnuclearnormconstraint
AT xiaohuili hyperspectralremotesensingimagefeaturerepresentationmethodbasedoncaehwithnuclearnormconstraint
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