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Principal component analysis (PCA) using randomized SVD This node has been automatically generated by wrapping the ``sklearn.decomposition.pca.RandomizedPCA`` class from the ``sklearn`` library. The wrapped instance can be accessed through the ``scikits_alg`` attribute. Linear dimensionality reduction using approximated Singular Value Decomposition of the data and keeping only the most significant singular vectors to project the data to a lower dimensional space. Read more in the :ref:`User Guide <RandomizedPCA>`. **Parameters** n_components : int, optional Maximum number of components to keep. When not given or None, this is set to n_features (the second dimension of the training data). copy : bool If False, data passed to fit are overwritten and running fit(X).transform(X) will not yield the expected results, use fit_transform(X) instead. iterated_power : int, optional Number of iterations for the power method. 3 by default. whiten : bool, optional When True (False by default) the `components_` vectors are divided by the singular values to ensure uncorrelated outputs with unit component-wise variances. Whitening will remove some information from the transformed signal (the relative variance scales of the components) but can sometime improve the predictive accuracy of the downstream estimators by making their data respect some hard-wired assumptions. random_state : int or RandomState instance or None (default) Pseudo Random Number generator seed control. If None, use the numpy.random singleton. **Attributes** ``components_`` : array, [n_components, n_features] Components with maximum variance. ``explained_variance_ratio_`` : array, [n_components] Percentage of variance explained by each of the selected components. k is not set then all components are stored and the sum of explained variances is equal to 1.0 ``mean_`` : array, [n_features] Per-feature empirical mean, estimated from the training set. **Examples** >>> import numpy as np >>> from sklearn.decomposition import RandomizedPCA >>> X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]]) >>> pca = RandomizedPCA(n_components=2) >>> pca.fit(X) # doctest: +ELLIPSIS +NORMALIZE_WHITESPACE RandomizedPCA(copy=True, iterated_power=3, n_components=2, random_state=None, whiten=False) >>> print(pca.explained_variance_ratio_) # doctest: +ELLIPSIS [ 0.99244... 0.00755...] See also PCA TruncatedSVD **References** .. [Halko2009] `Finding structure with randomness: Stochastic algorithms for constructing approximate matrix decompositions Halko, et al., 2009 (arXiv:909)` .. [MRT] `A randomized algorithm for the decomposition of matrices Per-Gunnar Martinsson, Vladimir Rokhlin and Mark Tygert`
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Principal component analysis (PCA) using randomized SVD This node has been automatically generated by wrapping the ``sklearn.decomposition.pca.RandomizedPCA`` class from the ``sklearn`` library. The wrapped instance can be accessed through the ``scikits_alg`` attribute. Linear dimensionality reduction using approximated Singular Value Decomposition of the data and keeping only the most significant singular vectors to project the data to a lower dimensional space. Read more in the :ref:`User Guide <RandomizedPCA>`. **Parameters** n_components : int, optional Maximum number of components to keep. When not given or None, this is set to n_features (the second dimension of the training data). copy : bool If False, data passed to fit are overwritten and running fit(X).transform(X) will not yield the expected results, use fit_transform(X) instead. iterated_power : int, optional Number of iterations for the power method. 3 by default. whiten : bool, optional When True (False by default) the `components_` vectors are divided by the singular values to ensure uncorrelated outputs with unit component-wise variances. Whitening will remove some information from the transformed signal (the relative variance scales of the components) but can sometime improve the predictive accuracy of the downstream estimators by making their data respect some hard-wired assumptions. random_state : int or RandomState instance or None (default) Pseudo Random Number generator seed control. If None, use the numpy.random singleton. **Attributes** ``components_`` : array, [n_components, n_features] Components with maximum variance. ``explained_variance_ratio_`` : array, [n_components] Percentage of variance explained by each of the selected components. k is not set then all components are stored and the sum of explained variances is equal to 1.0 ``mean_`` : array, [n_features] Per-feature empirical mean, estimated from the training set. **Examples** >>> import numpy as np >>> from sklearn.decomposition import RandomizedPCA >>> X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]]) >>> pca = RandomizedPCA(n_components=2) >>> pca.fit(X) # doctest: +ELLIPSIS +NORMALIZE_WHITESPACE RandomizedPCA(copy=True, iterated_power=3, n_components=2, random_state=None, whiten=False) >>> print(pca.explained_variance_ratio_) # doctest: +ELLIPSIS [ 0.99244... 0.00755...] See also PCA TruncatedSVD **References** .. [Halko2009] `Finding structure with randomness: Stochastic algorithms for constructing approximate matrix decompositions Halko, et al., 2009 (arXiv:909)` .. [MRT] `A randomized algorithm for the decomposition of matrices Per-Gunnar Martinsson, Vladimir Rokhlin and Mark Tygert`
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Apply dimensionality reduction on X. This node has been automatically generated by wrapping the sklearn.decomposition.pca.RandomizedPCA class from the sklearn library. The wrapped instance can be accessed through the scikits_alg attribute. X is projected on the first principal components previous extracted from a training set. Parameters
Returns X_new : array-like, shape (n_samples, n_components)
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Fit the model with X by extracting the first principal components. This node has been automatically generated by wrapping the sklearn.decomposition.pca.RandomizedPCA class from the sklearn library. The wrapped instance can be accessed through the scikits_alg attribute. Parameters
Returns
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