sklearn.preprocessing
.StandardScaler¶

class
sklearn.preprocessing.
StandardScaler
(*, copy=True, with_mean=True, with_std=True)[source]¶ Standardize features by removing the mean and scaling to unit variance
The standard score of a sample
x
is calculated as:z = (x  u) / s
where
u
is the mean of the training samples or zero ifwith_mean=False
, ands
is the standard deviation of the training samples or one ifwith_std=False
.Centering and scaling happen independently on each feature by computing the relevant statistics on the samples in the training set. Mean and standard deviation are then stored to be used on later data using
transform
.Standardization of a dataset is a common requirement for many machine learning estimators: they might behave badly if the individual features do not more or less look like standard normally distributed data (e.g. Gaussian with 0 mean and unit variance).
For instance many elements used in the objective function of a learning algorithm (such as the RBF kernel of Support Vector Machines or the L1 and L2 regularizers of linear models) assume that all features are centered around 0 and have variance in the same order. If a feature has a variance that is orders of magnitude larger that others, it might dominate the objective function and make the estimator unable to learn from other features correctly as expected.
This scaler can also be applied to sparse CSR or CSC matrices by passing
with_mean=False
to avoid breaking the sparsity structure of the data.Read more in the User Guide.
 Parameters
 copybool, default=True
If False, try to avoid a copy and do inplace scaling instead. This is not guaranteed to always work inplace; e.g. if the data is not a NumPy array or scipy.sparse CSR matrix, a copy may still be returned.
 with_meanbool, default=True
If True, center the data before scaling. This does not work (and will raise an exception) when attempted on sparse matrices, because centering them entails building a dense matrix which in common use cases is likely to be too large to fit in memory.
 with_stdbool, default=True
If True, scale the data to unit variance (or equivalently, unit standard deviation).
 Attributes
 scale_ndarray of shape (n_features,) or None
Per feature relative scaling of the data to achieve zero mean and unit variance. Generally this is calculated using
np.sqrt(var_)
. If a variance is zero, we can’t achieve unit variance, and the data is left asis, giving a scaling factor of 1.scale_
is equal toNone
whenwith_std=False
.New in version 0.17: scale_
 mean_ndarray of shape (n_features,) or None
The mean value for each feature in the training set. Equal to
None
whenwith_mean=False
. var_ndarray of shape (n_features,) or None
The variance for each feature in the training set. Used to compute
scale_
. Equal toNone
whenwith_std=False
. n_samples_seen_int or ndarray of shape (n_features,)
The number of samples processed by the estimator for each feature. If there are no missing samples, the
n_samples_seen
will be an integer, otherwise it will be an array of dtype int. Ifsample_weights
are used it will be a float (if no missing data) or an array of dtype float that sums the weights seen so far. Will be reset on new calls to fit, but increments acrosspartial_fit
calls.
See also
Notes
NaNs are treated as missing values: disregarded in fit, and maintained in transform.
We use a biased estimator for the standard deviation, equivalent to
numpy.std(x, ddof=0)
. Note that the choice ofddof
is unlikely to affect model performance.For a comparison of the different scalers, transformers, and normalizers, see examples/preprocessing/plot_all_scaling.py.
Examples
>>> from sklearn.preprocessing import StandardScaler >>> data = [[0, 0], [0, 0], [1, 1], [1, 1]] >>> scaler = StandardScaler() >>> print(scaler.fit(data)) StandardScaler() >>> print(scaler.mean_) [0.5 0.5] >>> print(scaler.transform(data)) [[1. 1.] [1. 1.] [ 1. 1.] [ 1. 1.]] >>> print(scaler.transform([[2, 2]])) [[3. 3.]]
Methods
fit
(X[, y, sample_weight])Compute the mean and std to be used for later scaling.
fit_transform
(X[, y])Fit to data, then transform it.
get_params
([deep])Get parameters for this estimator.
inverse_transform
(X[, copy])Scale back the data to the original representation
partial_fit
(X[, y, sample_weight])Online computation of mean and std on X for later scaling.
set_params
(**params)Set the parameters of this estimator.
transform
(X[, copy])Perform standardization by centering and scaling

fit
(X, y=None, sample_weight=None)[source]¶ Compute the mean and std to be used for later scaling.
 Parameters
 X{arraylike, sparse matrix} of shape (n_samples, n_features)
The data used to compute the mean and standard deviation used for later scaling along the features axis.
 yNone
Ignored.
 sample_weightarraylike of shape (n_samples,), default=None
Individual weights for each sample.
New in version 0.24: parameter sample_weight support to StandardScaler.
 Returns
 selfobject
Fitted scaler.

fit_transform
(X, y=None, **fit_params)[source]¶ Fit to data, then transform it.
Fits transformer to
X
andy
with optional parametersfit_params
and returns a transformed version ofX
. Parameters
 Xarraylike of shape (n_samples, n_features)
Input samples.
 yarraylike of shape (n_samples,) or (n_samples, n_outputs), default=None
Target values (None for unsupervised transformations).
 **fit_paramsdict
Additional fit parameters.
 Returns
 X_newndarray array of shape (n_samples, n_features_new)
Transformed array.

get_params
(deep=True)[source]¶ Get parameters for this estimator.
 Parameters
 deepbool, default=True
If True, will return the parameters for this estimator and contained subobjects that are estimators.
 Returns
 paramsdict
Parameter names mapped to their values.

inverse_transform
(X, copy=None)[source]¶ Scale back the data to the original representation
 Parameters
 X{arraylike, sparse matrix} of shape (n_samples, n_features)
The data used to scale along the features axis.
 copybool, default=None
Copy the input X or not.
 Returns
 X_tr{ndarray, sparse matrix} of shape (n_samples, n_features)
Transformed array.

partial_fit
(X, y=None, sample_weight=None)[source]¶ Online computation of mean and std on X for later scaling.
All of X is processed as a single batch. This is intended for cases when
fit
is not feasible due to very large number ofn_samples
or because X is read from a continuous stream.The algorithm for incremental mean and std is given in Equation 1.5a,b in Chan, Tony F., Gene H. Golub, and Randall J. LeVeque. “Algorithms for computing the sample variance: Analysis and recommendations.” The American Statistician 37.3 (1983): 242247:
 Parameters
 X{arraylike, sparse matrix} of shape (n_samples, n_features)
The data used to compute the mean and standard deviation used for later scaling along the features axis.
 yNone
Ignored.
 sample_weightarraylike of shape (n_samples,), default=None
Individual weights for each sample.
New in version 0.24: parameter sample_weight support to StandardScaler.
 Returns
 selfobject
Fitted scaler.

set_params
(**params)[source]¶ Set the parameters of this estimator.
The method works on simple estimators as well as on nested objects (such as
Pipeline
). The latter have parameters of the form<component>__<parameter>
so that it’s possible to update each component of a nested object. Parameters
 **paramsdict
Estimator parameters.
 Returns
 selfestimator instance
Estimator instance.

transform
(X, copy=None)[source]¶ Perform standardization by centering and scaling
 Parameters
 X{arraylike, sparse matrix of shape (n_samples, n_features)
The data used to scale along the features axis.
 copybool, default=None
Copy the input X or not.
 Returns
 X_tr{ndarray, sparse matrix} of shape (n_samples, n_features)
Transformed array.