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Robust spherical principal curves
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DOI：10.1016/j.patcog.2023.109380.png)
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摘要
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Principal curves are a nonlinear generalization of principal components and go through the mean of data lying in Euclidean space. In this paper, we propose L1-type and Huber-type principal curves through the median of data to robustify the principal curves for a dataset that may contain outliers. We further inves-tigate the stationarity of the proposed robust principal curves on S2. Results from numerical experiments on S2 and S4, including real data analysis, manifest promising empirical features of the proposed method.(c) 2023 Elsevier Ltd. All rights reserved.
Keyword:
Dimension reduction
Robustness
Measure of central tendency
Spherical domain
期刊
IF:
7.6
论文数:
1.3W
被引数:
4.5W
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