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Flexible constrained sparsity preserving embedding

delete2016-12-01
delete7
PRE
AI
L
Libo Weng
F
Fadi Dornaika *
Z
Zhong Jin
DOI:10.1016/j.patcog.2016.06.027delete
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摘要

摘要

En 中文
In this paper, two semi-supervised embedding methods are proposed, namely Constrained Sparsity Preserving Embedding (CSPE) and Flexible Constrained Sparsity Preserving Embedding (FCSPE). CSPE is a semi-supervised embedding method which can be considered as a semi-supervised extension of Sparsity Preserving Projections (SPP) integrated with the idea of in-class constraints. Both the labeled and unlabeled data can be utilized within the CSPE framework. However, CSPE does not have an out-of-sample extension since the projection of the unseen samples cannot be obtained directly. In order to have an inductive semi-supervised learning, i.e. being able to handle unseen samples, we propose FCSPE which can simultaneously provide a non-linear embedding and an approximate linear projection in one regression function. FCSPE simultaneously achieves the following: (i) the local sparse structures is preserved, (ii) the data samples with a same label are mapped onto one point in the projection space, and (iii) a linear projection that is the closest one to the non-linear embedding is estimated. Experimental results on eight public image data sets demonstrate the effectiveness of the proposed methods as well as their superiority to many competitive semi-supervised embedding techniques. (C) 2016 Elsevier Ltd. All rights reserved.
Keyword:
Constrained embedding
Sparsity preserving projections
Flexible manifold embedding
Semi-supervised learning
Out-of-sample problem
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期刊

Pattern Recognition 封面图
Pattern Recognition
IF:
7.6
论文数:
1.3W
被引数:
4.5W

机构

U
university of basque country
学者数:
1.9W
论文数: 1.6W
被引数: 17
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