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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2021
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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) |
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hyperspectral remote sensing images feature representation nuclear norm contractive auto-encoder Electronics TK7800-8360 |
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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 |
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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 |
_version_ |
1718434524716597248 |