Robust kernel principal component analysis with optimal mean. 2022

Pei Li, and Wenlin Zhang, and Chengjun Lu, and Rui Zhang, and Xuelong Li
School of Computer Science and School of Artificial Intelligence, Optics and Electronics (iOPEN), Northwestern Polytechnical University, Xi'an 710072, Shaanxi, PR China. Electronic address: lipei@nwpu.edu.cn.

The kernel principal component analysis (KPCA) serves as an efficient approach for dimensionality reduction. However, the KPCA method is sensitive to the outliers since the large square errors tend to dominate the loss of KPCA. To strengthen the robustness of KPCA method, we propose a novel robust kernel principal component analysis with optimal mean (RKPCA-OM) method. RKPCA-OM not only possesses stronger robustness for outliers than the conventional KPCA method, but also can eliminate the optimal mean automatically. What is more, the theoretical proof proves the convergence of the algorithm to guarantee that the optimal subspaces and means are obtained. Lastly, exhaustive experimental results verify the superiority of our method.

UI MeSH Term Description Entries
D000465 Algorithms A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task. Algorithm
D025341 Principal Component Analysis Mathematical procedure that transforms a number of possibly correlated variables into a smaller number of uncorrelated variables called principal components. Analyses, Principal Component,Analysis, Principal Component,Principal Component Analyses

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