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鲁棒主成分分析 (RPCA)

鲁棒主成分分析是一种降维方法,可在数据受到异常值和噪声污染时提取可靠的成分。该方法由 Candès、Li、Ma 和 Wright (2011) 提出,并在 Hubert、Rousseeuw 和 Vanden Branden (2005) 的 ROBPCA 方法中得到发展,它将数据矩阵分解为一个干净的低秩部分和一个稀疏的异常值部分。

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来源

  1. Candès, E. J., Li, X., Ma, Y., & Wright, J. (2011). Robust Principal Component Analysis? Journal of the ACM, 58(3), 1-37. DOI: 10.1145/1970392.1970395
  2. Hubert, M., Rousseeuw, P. J., & Vanden Branden, K. (2005). ROBPCA: A New Approach to Robust Principal Component Analysis. Technometrics, 47(1), 64-79. DOI: 10.1198/004017004000000563

如何引用本页

ScholarGate. (2026, June 1). Robust Principal Component Analysis. ScholarGate. https://scholargate.app/zh/statistics/robust-pca

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被引用于

ScholarGateRobust PCA (Robust Principal Component Analysis). 于 2026-06-15 检索自 https://scholargate.app/zh/statistics/robust-pca · 数据集: https://doi.org/10.5281/zenodo.20539026