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The Robust Principal Component Using Minimum Vector Variance

机译:使用最小矢量方差的强大主成分

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Principal Component Analysis (PCA) is a technique to transform the original set of variables into a smaller set of linear combinations that account for most of the original set variance. The data reduction based on the classical PCA is fruitless if outlier is present in the data. The decomposed classical covariance matrix is very sensitive to outlying observations. ROBPCA is an effective PCA method combining two advantages of both projection pursuit and robust covariance estimation. The estimation is computed with the idea of minimum covariance determinant (MCD) of covariance matrix. The limitation of MCD is when covariance determinant almost equal zero. This paper discusses PCA using the minimum vector variance (MVV) to enhance the result. The usefulness of MVV is not limited to small or low dimension data set and to non-singular or singular covariance matrix. The MVV algorithm, compared with FMCD algorithm, has a lower computational complexity; the complexity of VV is of order 0(p~2).
机译:主成分分析(PCA)是一种将原始变量集转换为较小的线性组合,该技术为大多数原始集合方差而转换为较小的线性组合。如果数据中存在异常值,则基于经典PCA的数据缩减是果蝇。分解的古典协方差矩阵对外围观察非常敏感。 Robpca是一种有效的PCA方法,结合了投影追求和强大的协方差估算的两个优点。通过协方差矩阵的最小协方差决定因素(MCD)来计算估计。 MCD的限制是当协方差决定簇几乎等于零时。本文讨论了使用最小矢量方差(MVV)来增强结果的PCA。 MVV的有用性不限于小或低尺寸数据集和非奇异或奇异协方差矩阵。与FMCD算法相比的MVV算法具有较低的计算复杂性; VV的复杂性为0(p〜2)。

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