中国科学院深圳先进技术研究院机构知识库(SIAT OpenIR): Laplacian Auto-Encoders: An explicit learning of nonlinear data manifold
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Laplacian Auto-Encoders: An explicit learning of nonlinear data manifold
Jia Kui; Sun Lin; Gao Shenghua; Song Zhan; Shi Bertram E.
2015
Source PublicationNEUROCOMPUTING
Subtype期刊论文
AbstractA key factor contributing to the success of many auto-encoders based deep learning techniques is the implicit consideration of the underlying data manifold in their training criteria. In this paper, we aim to make this consideration more explicit by training auto-encoders completely from the manifold learning perspective. We propose a novel unsupervised manifold learning method termed Laplacian Auto-Encoders (LAEs). Starting from a general regularized function learning framework, LAE regularizes training of auto-encoders so that the learned encoding function has the locality-preserving property for data points on the manifold. By exploiting the analog relation between the graph Laplacian and the Laplace-Beltrami operator on the continuous manifold, we derive discrete approximations of the first- and higher-order auto-encoder regularizers that can be applied in practical scenarios, where only data points sampled from the distribution on the manifold are available. Our proposed LAE has potentially better generalization capability, due to its explicit respect of the underlying data manifold. Extensive experiments on benchmark visual classification datasets show that LAE consistently outperforms alternative auto-encoders recently proposed in deep learning literature, especially when training samples are relatively scarce: (C) 2015 Elsevier B.V. All rights reserved
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Indexed BySCI
Language英语
Department智能设计与机器视觉研究室
Document Type期刊论文
Identifierhttp://ir.siat.ac.cn/handle/172644/6690
Collection集成所
AffiliationNEUROCOMPUTING
Recommended Citation
GB/T 7714
Jia Kui,Sun Lin,Gao Shenghua,et al. Laplacian Auto-Encoders: An explicit learning of nonlinear data manifold[J]. NEUROCOMPUTING,2015.
APA Jia Kui,Sun Lin,Gao Shenghua,Song Zhan,&Shi Bertram E..(2015).Laplacian Auto-Encoders: An explicit learning of nonlinear data manifold.NEUROCOMPUTING.
MLA Jia Kui,et al."Laplacian Auto-Encoders: An explicit learning of nonlinear data manifold".NEUROCOMPUTING (2015).
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