CASIA OpenIR  > 模式识别国家重点实验室  > 生物识别与安全技术研究
Prime Discriminant Simplicial Complex
Zhang, Junping1; Xie, Ziyu1; Li, Stan Z.2
Source PublicationIEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
2013
Volume24Issue:1Pages:133-144
SubtypeArticle
AbstractThe 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.
KeywordObject Recognition Persistent Homology Supervised Learning Topology
WOS HeadingsScience & Technology ; Technology
WOS KeywordNONLINEAR DIMENSIONALITY REDUCTION ; DATA VISUALIZATION ; ALPHA-SHAPES ; NETWORKS ; MAPS
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000312844800012
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/7947
Collection模式识别国家重点实验室_生物识别与安全技术研究
Affiliation1.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
Recommended Citation
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.
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