Eigen-analysis of nonlinear PCA with polynomial kernels

DOI10.1002/sam.11211zbMath1281.62149OpenAlexW1912468268MaRDI QIDQ2870762

Zhiyu Liang, Yoonkyung Lee

Publication date: 21 January 2014

Published in: Statistical Analysis and Data Mining: The ASA Data Science Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sam.11211

zbMATH Keywords

kernel methodsGaussian kernelkernel PCAnonlinear embedding

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (1)

Interpreting uninterpretable predictors: kernel methods, Shtarkov solutions, and random forests

Uses Software

• ElemStatLearn
• ROBPCA

Cites Work

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• Sparse conjugate directions pursuit with application to fixed-size kernel models
• The spectrum of kernel random matrices
• Kernel methods in machine learning
• Data spectroscopy: eigenspaces of convolution operators and clustering
• Optimized fixed-size kernel models for large data sets
• Robust principal component analysis?
• Theory of Reproducing Kernels

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