Hierarchical Neighbors Embedding
Liu, Shenglan3; Yu, Yang3; Liu, Kaiyuan3; Wang, Feilong2; Wen, Wujun3; Qiao, Hong1
刊名IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
2022-11-21
页码14
关键词Data sparsity hierarchical neighbors manifold learning topological and geometrical properties. the introduced to
ISSN号2162-237X
DOI10.1109/TNNLS.2022.3221103
通讯作者Liu, Shenglan(liusl@mail.dlut.edu.cn)
英文摘要Manifold learning now plays an important role in machine learning and many relevant applications. In spite of the superior performance of manifold learning techniques in dealing with nonlinear data distribution, their performance would drop when facing the problem of data sparsity. It is hard to obtain satisfactory embeddings when sparsely sampled high-dimensional data are mapped into the observation space. To address this issue, in this article, we propose hierarchical neighbors embedding (HNE), which enhances the local connections through hierarchical combination of neighbors. And three different HNE-based implementations are derived by further analyzing the topological connection and reconstruction performance. The experimental results on both the synthetic and real-world datasets illustrate that our HNE-based methods could obtain more faithful embeddings with better topological and geometrical properties. From the view of embedding quality, HNE develops the outstanding advantages in dealing with data of general distributions. Furthermore, comparing with other state-of-the-art manifold learning methods, HNE shows its superiority in dealing with sparsely sampled data and weak-connected manifolds.
资助项目Major Project of Science and Technology Innovation 2030 C Brain Scienceand Brain-Inspired Intelligence[2021ZD0200408] ; National Natural Science Foundation of China[91948303] ; Strategic Priority Research Program of Chinese Academy of Science[XDB32050100] ; Fundamental Research Fundsfor the Central Universities[DUT22JC14]
WOS关键词NONLINEAR DIMENSIONALITY REDUCTION ; MANIFOLD ; PERFORMANCE ; EIGENMAPS ; SPACE ; LLE
WOS研究方向Computer Science ; Engineering
语种英语
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号WOS:000890866000001
资助机构Major Project of Science and Technology Innovation 2030 C Brain Scienceand Brain-Inspired Intelligence ; National Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Science ; Fundamental Research Fundsfor the Central Universities
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/50785]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_机器人应用与理论组
通讯作者Liu, Shenglan
作者单位1.Chinese Acad Sci, Inst Automation, State Key Lab Management & Control Complex Syst, Beijing, Peoples R China
2.Dalian Univ Technol, Sch Innovat & Entrepreneurship, Dalian 116024, Peoples R China
3.Dalian Univ Technol, Fac Elect Informat & Elect Engn, Sch Comp Sci & Technol, Dalian 116024, Peoples R China
推荐引用方式
GB/T 7714
Liu, Shenglan,Yu, Yang,Liu, Kaiyuan,et al. Hierarchical Neighbors Embedding[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2022:14.
APA Liu, Shenglan,Yu, Yang,Liu, Kaiyuan,Wang, Feilong,Wen, Wujun,&Qiao, Hong.(2022).Hierarchical Neighbors Embedding.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,14.
MLA Liu, Shenglan,et al."Hierarchical Neighbors Embedding".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2022):14.
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