pyrfm.random_feature.RandomMaclaurin¶
-
class
pyrfm.random_feature.RandomMaclaurin(n_components=100, p=10, kernel='poly', degree=2, distribution='rademacher', gamma='auto', bias=0.0, coefs=None, max_expansion=50, h01=False, dense_output=True, p_sparse=0.0, random_state=None)[source]¶ Bases:
sklearn.base.BaseEstimator,sklearn.base.TransformerMixinApproximates feature map of a dot product kernel by Monte Carlo approximation of its Maclaurin expansion.
- Parameters
n_components (int (default=100)) – Number of Monte Carlo samples per original features. Equals the dimensionality of the computed (mapped) feature space.
p (int (default=10)) – Parameter of the distribution that determines which components of the Maclaurin series are approximated.
kernel (str or callable (default="poly")) – Type of kernel function. ‘poly’, ‘exp’, or callable are accepted. If callable, its arguments are two numpy-like objects, and return a numpy-like object. if str, only ‘poly’ or ‘exp’ is acceptable.
degree (int (default=2)) – Parameter of the polynomial product kernel.
distribution (str, (default="rademacher")) – Distribution for random_weights_. “rademacher”, “gaussian”, “laplace”, “uniform”, or “sparse_rademacher” can be used.
gamma (float or str (default="auto")) – Parameter of the exponential kernel.
bias (float (default=0)) – Parameter of the polynomial kernel.
coefs (list-like (default=None)) – list of coefficients of Maclaurin expansion.
max_expansion (int (default=50)) – Threshold of Maclaurin expansion.
h01 (bool (default=False)) – Use h01 heuristic or not. See [1].
dense_output (bool (default=True)) – Whether randomized feature matrix is dense or sparse. For kernel=’anova’, if dense_output = False, distribution=’sparse_rademacher’, and X is sparse matrix, output random feature matrix will become sparse matrix. For kernel=’anova_cython’, if dense_output=False, output random feature matrix will become sparse matrix.
p_sparse (float (default=0.)) – Sparsity parameter for “sparse_rademacher” distribution. If p_sparse = 0, “sparse_rademacher” is equivalent to “rademacher”.
random_state (int, RandomState instance or None, optional (default=None)) – If int, random_state is the seed used by the random number generator; If RandomState instance, random_state is the random number generator; If None, the random number generator is the RandomState instance used by np.random.
-
orders_¶ The sampled orders of the Maclaurin expansion. The j-th components of random feature approximates orders_[j]-th order of the Maclaurin expansion.
- Type
array, shape (n_components, )
References
[1] Random Feature Maps for Dot Product Kernels. Purushottam Kar and Harish Karnick. In AISTATS 2012. (http://proceedings.mlr.press/v22/kar12/kar12.pdf)
-
fit(X, y=None)[source]¶ Generate random weights and orders according to n_features.
- Parameters
X ({array-like, sparse matrix}, shape (n_samples, n_features)) – Training data, where n_samples is the number of samples and n_features is the number of features.
- Returns
self – Returns the transformer.
- Return type
object
-
fit_transform(X, y=None, **fit_params)¶ Fit to data, then transform it.
Fits transformer to X and y with optional parameters fit_params and returns a transformed version of X.
- Parameters
X (numpy array of shape [n_samples, n_features]) – Training set.
y (numpy array of shape [n_samples]) – Target values.
- Returns
X_new – Transformed array.
- Return type
numpy array of shape [n_samples, n_features_new]
-
get_params(deep=True)¶ Get parameters for this estimator.
- Parameters
deep (boolean, optional) – If True, will return the parameters for this estimator and contained subobjects that are estimators.
- Returns
params – Parameter names mapped to their values.
- Return type
mapping of string to any
-
set_params(**params)¶ Set the parameters of this estimator.
The method works on simple estimators as well as on nested objects (such as pipelines). The latter have parameters of the form
<component>__<parameter>so that it’s possible to update each component of a nested object.- Returns
- Return type
self
-
transform(X)[source]¶ Apply the approximate feature map to X.
- Parameters
X ({array-like, sparse matrix}, shape (n_samples, n_features)) – New data, where n_samples is the number of samples and n_features is the number of features.
- Returns
X_new
- Return type
array-like, shape (n_samples, n_components)