sklearn.covariance（协方差）模块结构及用法
许多统计学问题需要做总体协方差矩阵评估，可以看作是数据集散点图的评估。
大多数情况下，这样一个评估会在与一个对估计质量有很大影响（大小、结构、同质性）的样本上完成。
sklearn.covariance包为在各种条件下精确评估总体协方差矩阵提供了有效工具。
我们假设观察值是独立且同分布的。
模块提供了以下四种常见估计方法：
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Empirical covariance经验协方差 官方文档
class sklearn.covariance.EmpiricalCovariance(store_precision=True, assume_centered=False)
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Shrunk Covariance缩减协方差
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Sparse inverse covariance稀疏逆协方差
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Robust Covariance Estimation 鲁棒协方差估计
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模块内各种类及函数
covariance.EmpiricalCovariance([…]) |
Maximum likelihood covariance estimator |
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covariance.EllipticEnvelope([…]) |
An object for detecting outliers in a Gaussian distributed dataset. |
covariance.GraphicalLasso([alpha, mode, …]) |
Sparse inverse covariance estimation with an l1-penalized estimator. |
covariance.GraphicalLassoCV([alphas, …]) |
Sparse inverse covariance w/ cross-validated choice of the l1 penalty. |
covariance.LedoitWolf([store_precision, …]) |
LedoitWolf Estimator |
covariance.MinCovDet([store_precision, …]) |
Minimum Covariance Determinant (MCD): robust estimator of covariance. |
covariance.OAS([store_precision, …]) |
Oracle Approximating Shrinkage Estimator |
covariance.ShrunkCovariance([…]) |
Covariance estimator with shrinkage |
covariance.empirical_covariance(X[, …]) |
Computes the Maximum likelihood covariance estimator |
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covariance.graphical_lasso(emp_cov, alpha[, …]) |
l1-penalized covariance estimator |
covariance.ledoit_wolf(X[, assume_centered, …]) |
Estimates the shrunk Ledoit-Wolf covariance matrix. |
covariance.oas(X[, assume_centered]) |
Estimate covariance with the Oracle Approximating Shrinkage algorithm. |
covariance.shrunk_covariance(emp_cov[, …]) |
Calculates a covariance matrix shrunk on the diagonal |
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Reference
- Covariance estimation
- sklearn中文手册
- 协方差详解角度：历史、数学、物理意义