Prime Discriminant Simplicial Complex

CORC > 自动化研究所 > 中国科学院自动化研究所 > 模式识别国家重点实验室 > 生物识别与安全技术研究中心

	Prime Discriminant Simplicial Complex
	Zhang, Junping 1; Xie, Ziyu 1; Li, Stan Z.2
刊名	IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
	2013
卷号	24 期号:1 页码:133-144
关键词	Object recognition persistent homology supervised learning topology
英文摘要	The structure representation of data distribution plays an important role in understanding the underlying mechanism of generating data. In this paper, we propose the prime discriminant simplicial complex (PDSC) by utilizing persistent homology to capture such structures. Assuming that each class is represented with a prime simplicial complex, we classify unlabeled samples based on the nearest projection distances from the samples to the simplicial complexes. We also extend the extrapolation ability of these complexes with a projection constraint term. Experiments in simulated and practical datasets indicate that, compared with several published algorithms, the proposed PDSC approaches achieve promising performance without losing structure representation.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
研究领域[WOS]	Computer Science ; Engineering
关键词[WOS]	NONLINEAR DIMENSIONALITY REDUCTION ; DATA VISUALIZATION ; ALPHA-SHAPES ; NETWORKS ; MAPS
收录类别	SCI
语种	英语
WOS记录号	WOS:000312844800012
公开日期	2015-09-22
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/7947]
专题	自动化研究所_模式识别国家重点实验室_生物识别与安全技术研究中心
作者单位	1.Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Junping,Xie, Ziyu,Li, Stan Z.. Prime Discriminant Simplicial Complex[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2013,24(1):133-144.
APA	Zhang, Junping,Xie, Ziyu,&Li, Stan Z..(2013).Prime Discriminant Simplicial Complex.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,24(1),133-144.
MLA	Zhang, Junping,et al."Prime Discriminant Simplicial Complex".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 24.1(2013):133-144.