| 稳健局部线性嵌入方法 |
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| 引用本文： | 谭璐,吴翊,易东云. 稳健局部线性嵌入方法[J]. 国防科技大学学报, 2004, 26(6): 91-95 |
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| 作者姓名： | 谭璐 吴翊 易东云 |
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| 作者单位： | 国防科技大学理学院,湖南,长沙,410073 |
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| 基金项目： | 国家自然科学基金资助项目(60003013)，高等学校博士学科点专项科研基金资助项目(20049998008) |
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| 摘 要： | 针对局部线性嵌入方法对于噪声的敏感性,从分析噪声对数据集局部特性的影响入手,提出了稳健局部线性嵌入方法。通过与局部线性嵌入方法的理论分析和实例对比,表明稳健局部线性嵌入方法不仅对噪声影响不敏感,而且对邻域的选择有较好的适应性,可更好地挖掘数据集的本征特性,具有更强的数据可视化能力。
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| 关 键 词： | 局部线性嵌入 高维数据 降维 邻域 |
| 文章编号： | 1001-2486(2004)06-0091-05 |
| 收稿时间： | 2004-06-19 |
| 修稿时间： | 2004-06-19 |
Robust Locally Linear Embedding |
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| TAN Lu,WU Yi and YI Dongyun. Robust Locally Linear Embedding[J]. Journal of National University of Defense Technology, 2004, 26(6): 91-95 |
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| Authors: | TAN Lu WU Yi YI Dongyun |
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| Affiliation: | College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | Since the locally linear embedding method is sensitive to noise, a new method is presented to solve this problem. This new method, namely robust locally linear embedding method, is constructed by analyzing noise influence on the character of the data (set's) local neighborhood. Compared with LLE, the RLLE is insensitive to noise and adaptive to the selection of neighborhood, which is verified by theoretical analysis and practical experiments. Therefore, the RLLE can discover the intrinsic structure of the data set and visualize the data better. |
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| Keywords: | locally linear embedding high dimensional data dimensionality reduction neighborhood |
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