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A Semi-supervised manifold alignment algorithm and an evaluation method based on local structure preservation

文献类型：期刊论文

作者Li, Xiaojie1; Lv, Jiancheng2; Wu, Xi1; Yu, Xin3
刊名NEUROCOMPUTING
出版日期2017-02-08
卷号224页码:195-203
关键词Manifold alignment Structural stability Local structure
ISSN号0925-2312
DOI10.1016/j.neucom.2016.11.002
英文摘要Manifold alignment is the process of aligning the shared intrinsic structure extracted from multiple manifolds. The criteria of manifold alignment are 2-fold. First, the alignment should minimize the distance between manifolds, ensuring high alignment accuracy. Second, the original structure should be preserved. Currently, most alignment algorithms focus on alignment accuracy, whereas structure preservation has received little attention. This paper proposes a new semi-supervised alignment method that combines locally linear reconstructions in each manifold. The shared intrinsic structure is obtained by solving an optimization problem with a closed-form solution, which simultaneously matches the corresponding instances and preserves the local geometry of each manifold. Furthermore, a new method is presented to evaluate the local structure preservation. The structural stability is defined as a metric of the local structure preservation property. It is shown that the proposed method preserves the local geometry of the original dataset well. It is also found that better structural stability gives higher alignment accuracy, but the converse is not true. Experimental results on both synthetic and real datasets demonstrate the effectiveness and efficiency of our method.
资助项目National Natural Science Foundation of China[61375065] ; National Natural Science Foundation of China[61502208] ; National Natural Science Foundation of China[61602066] ; State Key Program of National Science Foundation of China[61432012] ; State Key Program of National Science Foundation of China[61432014] ; Scientific Research Foundation of CULT[KYTZ201608] ; Sichuan Science and Technology Support Project[2014SZ0104] ; Natural Science Foundation of the Jiangsu Higher Education Institutions of China[14KJB520007] ; China Postdoctoral Science Foundation[2015 M570411]
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000392355600019
出版者ELSEVIER SCIENCE BV
源URL[http://119.78.100.204/handle/2XEOYT63/7632]  
专题中国科学院计算技术研究所期刊论文_英文
通讯作者Lv, Jiancheng
作者单位1.Chengdu Univ Informat Technol, Coll Comp Sci, Chengdu, Peoples R China
2.Sichuan Univ, Coll Comp Sci, Chengdu, Peoples R China
3.Chinese Acad Sci, Inst Comp Technol, State Key Lab Comp Architecture, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Li, Xiaojie,Lv, Jiancheng,Wu, Xi,et al. A Semi-supervised manifold alignment algorithm and an evaluation method based on local structure preservation[J]. NEUROCOMPUTING,2017,224:195-203.
APA Li, Xiaojie,Lv, Jiancheng,Wu, Xi,&Yu, Xin.(2017).A Semi-supervised manifold alignment algorithm and an evaluation method based on local structure preservation.NEUROCOMPUTING,224,195-203.
MLA Li, Xiaojie,et al."A Semi-supervised manifold alignment algorithm and an evaluation method based on local structure preservation".NEUROCOMPUTING 224(2017):195-203.

入库方式： OAI收割

来源：计算技术研究所

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