Knowledge Commons of Institute of Automation，CAS
| Prime Discriminant Simplicial Complex | |
Zhang, Junping1; Xie, Ziyu1; Li, Stan Z.2
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| 发表期刊 | IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
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| 2013 | |
| 卷号 | 24期号:1页码:133-144 |
| 文章类型 | Article |
| 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. |
| 关键词 | Object Recognition Persistent Homology Supervised Learning Topology |
| WOS标题词 | Science & Technology ; Technology |
| 关键词[WOS] | NONLINEAR DIMENSIONALITY REDUCTION ; DATA VISUALIZATION ; ALPHA-SHAPES ; NETWORKS ; MAPS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS研究方向 | Computer Science ; Engineering |
| WOS类目 | Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000312844800012 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/7947 |
| 专题 | 多模态人工智能系统全国重点实验室_生物识别与安全技术 |
| 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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