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

doi:10.1016/j.neucom.2016.11.002

	A Semi-supervised manifold alignment algorithm and an evaluation method based on local structure preservation
	Li, Xiaojie 1; Lv, Jiancheng 2; Wu, Xi 1; Yu, Xin 3
	2017-02-08
发表期刊	NEUROCOMPUTING
ISSN	0925-2312
卷号	224 页码:195-203
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.
关键词	Manifold alignment Structural stability Local structure
DOI	10.1016/j.neucom.2016.11.002
收录类别	SCI
语种	英语
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
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000392355600019
出版者	ELSEVIER SCIENCE BV
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/7633
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.