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arXiv 1909.07142cs.LGstat.ML
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层次邻居嵌入

Hierarchic Neighbors Embedding

Dalian University of Technology(大连理工大学);Institute of Automation, Chinese Academy of Sciences(中国科学院自动化研究所);National University of Singapore(新加坡国立大学)

Shenglan Liu, Yang Yu, Yang Liu, Hong Qiao, Lin Feng, Jiashi Feng

摘要:

流形学习在机器学习和许多相关应用中扮演着非常重要的角色。尽管数据稀疏性在处理非线性数据分布方面具有优越的性能,但数据稀疏性一直是一个棘手的问题。在流形学习中如何更好地处理它的研究还不多见。在本文中,我们提出了层次邻居嵌入(HNE),增强本地连接的邻居的层次组合。在进一步分析拓扑连接和重构性能的基础上,给出了三种不同的HNE版本。实验结果表明,我们的方法在合成数据和高维现实世界的任务工作得很好。HNE在处理一般数据方面发挥了突出的优势。此外,与其他流行的流形学习方法相比,HNE在稀疏样本和弱连通流形上的性能更好。

英文摘要:

Manifold learning now plays a very important role in machine learning and many relevant applications. Although its superior performance in dealing with nonlinear data distribution, data sparsity is always a thorny knot. There are few researches to well handle it in manifold learning. In this paper, we propose Hierarchic Neighbors Embedding (HNE), which enhance local connection by the hierarchic combination of neighbors. After further analyzing topological connection and reconstruction performance, three different versions of HNE are given. The experimental results show that our methods work well on both synthetic data and high-dimensional real-world tasks. HNE develops the outstanding advantages in dealing with general data. Furthermore, comparing with other popular manifold learning methods, the performance on sparse samples and weak-connected manifolds is better for HNE.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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