Apply a power transform featurewise to make data more Gaussian-like.
Power transforms are a family of parametric, monotonic transformations that are applied to make data more Gaussian-like. This is useful for modeling issues related to heteroscedasticity (non-constant variance), or other situations where normality is desired.
Currently, PowerTransformer supports the Box-Cox transform and the Yeo-Johnson transform. The optimal parameter for stabilizing variance and minimizing skewness is estimated through maximum likelihood.
Box-Cox requires input data to be strictly positive, while Yeo-Johnson supports both positive or negative data.
By default, zero-mean, unit-variance normalization is applied to the transformed data.
Read more in the :ref:`User Guide <preprocessing_transformer>`.
.. versionadded:: 0.20
Parameters ---------- method : str, (default='yeo-johnson') The power transform method. Available methods are:
- 'yeo-johnson'
1
_, works with positive and negative values - 'box-cox'
2
_, only works with strictly positive values
standardize : boolean, default=True Set to True to apply zero-mean, unit-variance normalization to the transformed output.
copy : boolean, optional, default=True Set to False to perform inplace computation during transformation.
Attributes ---------- lambdas_ : array of float, shape (n_features,) The parameters of the power transformation for the selected features.
Examples -------- >>> import numpy as np >>> from sklearn.preprocessing import PowerTransformer >>> pt = PowerTransformer() >>> data = [1, 2], [3, 2], [4, 5]
>>> print(pt.fit(data)) PowerTransformer() >>> print(pt.lambdas_) 1.386... -3.100...
>>> print(pt.transform(data)) [-1.316... -0.707...]
[ 0.209... -0.707...]
[ 1.106... 1.414...]
See also -------- power_transform : Equivalent function without the estimator API.
QuantileTransformer : Maps data to a standard normal distribution with the parameter `output_distribution='normal'`.
Notes ----- NaNs are treated as missing values: disregarded in ``fit``, and maintained in ``transform``.
For a comparison of the different scalers, transformers, and normalizers, see :ref:`examples/preprocessing/plot_all_scaling.py <sphx_glr_auto_examples_preprocessing_plot_all_scaling.py>`.
References ----------
.. 1
I.K. Yeo and R.A. Johnson, "A new family of power transformations to improve normality or symmetry." Biometrika, 87(4), pp.954-959, (2000).
.. 2
G.E.P. Box and D.R. Cox, "An Analysis of Transformations", Journal of the Royal Statistical Society B, 26, 211-252 (1964).