Developing scikit-learn estimators

Whether you are proposing an estimator for inclusion in scikit-learn, developing a separate package compatible with scikit-learn, or implementing custom components for your own projects, this chapter details how to develop objects that safely interact with scikit-learn Pipelines and model selection tools.

APIs of scikit-learn objects

To have a uniform API, we try to have a common basic API for all the objects. In addition, to avoid the proliferation of framework code, we try to adopt simple conventions and limit to a minimum the number of methods an object must implement.

Elements of the scikit-learn API are described more definitively in the Glossary of Common Terms and API Elements.

Different objects

The main objects in scikit-learn are (one class can implement multiple interfaces):

Estimator:

The base object, implements a fit method to learn from data, either:

estimator = estimator.fit(data, targets)

or:

estimator = estimator.fit(data)

Predictor:

for supervised learning, or some unsupervised problems, implements:

prediction = predictor.predict(data)

Classification algorithms usually also offer a way to quantify certainty of a prediction, either using decision_function or predict_proba:

probability = predictor.predict_proba(data)

Transformer:

for modifying the data in a supervised or unsupervised way (e.g. by adding, changing, or removing columns, but not by adding or removing rows). Implements:

new_data = transformer.transform(data)

When fitting and transforming can be performed much more efficiently together than separately, implements:

new_data = transformer.fit_transform(data)

Model:

A model that can give a goodness of fit measure or a likelihood of unseen data, implements (higher is better):

score = model.score(data)

Estimators

The API has one predominant object: the estimator. An estimator is an object that fits a model based on some training data and is capable of inferring some properties on new data. It can be, for instance, a classifier or a regressor. All estimators implement the fit method:

estimator.fit(X, y)

All built-in estimators also have a set_params method, which sets data-independent parameters (overriding previous parameter values passed to __init__).

All estimators in the main scikit-learn codebase should inherit from sklearn.base.BaseEstimator.

Instantiation

This concerns the creation of an object. The object’s __init__ method might accept constants as arguments that determine the estimator’s behavior (like the C constant in SVMs). It should not, however, take the actual training data as an argument, as this is left to the fit() method:

clf2 = SVC(C=2.3)
clf3 = SVC([[1, 2], [2, 3]], [-1, 1]) # WRONG!

The arguments accepted by __init__ should all be keyword arguments with a default value. In other words, a user should be able to instantiate an estimator without passing any arguments to it. The arguments should all correspond to hyperparameters describing the model or the optimisation problem the estimator tries to solve. These initial arguments (or parameters) are always remembered by the estimator. Also note that they should not be documented under the “Attributes” section, but rather under the “Parameters” section for that estimator.

In addition, every keyword argument accepted by __init__ should correspond to an attribute on the instance. Scikit-learn relies on this to find the relevant attributes to set on an estimator when doing model selection.

To summarize, an __init__ should look like:

def __init__(self, param1=1, param2=2):
    self.param1 = param1
    self.param2 = param2

There should be no logic, not even input validation, and the parameters should not be changed. The corresponding logic should be put where the parameters are used, typically in fit. The following is wrong:

def __init__(self, param1=1, param2=2, param3=3):
    # WRONG: parameters should not be modified
    if param1 > 1:
        param2 += 1
    self.param1 = param1
    # WRONG: the object's attributes should have exactly the name of
    # the argument in the constructor
    self.param3 = param2

The reason for postponing the validation is that the same validation would have to be performed in set_params, which is used in algorithms like GridSearchCV.

fitting

The next thing you will probably want to do is to estimate some parameters in the model. This is implemented in the fit() method.

The fit() method takes the training data as arguments, which can be one array in the case of unsupervised learning, or two arrays in the case of supervised learning.

Note that the model is fitted using X and y, but the object holds no reference to X and y. There are, however, some exceptions to this, as in the case of precomputed kernels where this data must be stored for use by the predict method.

Parameters
X	array-like of shape (n_samples, n_features)
y	array-like of shape (n_samples,)
kwargs	optional data-dependent parameters

X.shape[0] should be the same as y.shape[0]. If this requisite is not met, an exception of type ValueError should be raised.

y might be ignored in the case of unsupervised learning. However, to make it possible to use the estimator as part of a pipeline that can mix both supervised and unsupervised transformers, even unsupervised estimators need to accept a y=None keyword argument in the second position that is just ignored by the estimator. for the same reason, fit_predict, fit_transform, score and partial_fit methods need to accept a y argument in the second place if they are implemented.

The method should return the object (self). This pattern is useful to be able to implement quick one liners in an IPython session such as:

y_predicted = SVC(C=100).fit(X_train, y_train).predict(X_test)

Depending on the nature of the algorithm, fit can sometimes also accept additional keywords arguments. However, any parameter that can have a value assigned prior to having access to the data should be an __init__ keyword argument. fit parameters should be restricted to directly data dependent variables. for instance a Gram matrix or an affinity matrix which are precomputed from the data matrix X are data dependent. A tolerance stopping criterion tol is not directly data dependent (although the optimal value according to some scoring function probably is).

When fit is called, any previous call to fit should be ignored. In general, calling estimator.fit(X1) and then estimator.fit(X2) should be the same as only calling estimator.fit(X2). However, this may not be true in practice when fit depends on some random process, see random_state. Another exception to this rule is when the hyper-parameter warm_start is set to True for estimators that support it. warm_start=True means that the previous state of the trainable parameters of the estimator are reused instead of using the default initialization strategy.

Estimated Attributes

Attributes that have been estimated from the data must always have a name ending with trailing underscore, for example the coefficients of some regression estimator would be stored in a coef_ attribute after fit has been called.

The estimated attributes are expected to be overridden when you call fit a second time.

Optional Arguments

In iterative algorithms, the number of iterations should be specified by an integer called n_iter.

Universal attributes

Estimators that expect tabular input should set a n_features_in_ attribute at fit time to indicate the number of features that the estimator expects for subsequent calls to predict or transform. See SLEP010 for details.

Rolling your own estimator

If you want to implement a new estimator that is scikit-learn-compatible, whether it is just for you or for contributing it to scikit-learn, there are several internals of scikit-learn that you should be aware of in addition to the scikit-learn API outlined above. You can check whether your estimator adheres to the scikit-learn interface and standards by running check_estimator on an instance. The parametrize_with_checks pytest decorator can also be used (see its docstring for details and possible interactions with pytest):

>>> from sklearn.utils.estimator_checks import check_estimator
>>> from sklearn.svm import LinearSVC
>>> check_estimator(LinearSVC())  # passes

The main motivation to make a class compatible to the scikit-learn estimator interface might be that you want to use it together with model evaluation and selection tools such as model_selection.GridSearchCV and pipeline.Pipeline.

Before detailing the required interface below, we describe two ways to achieve the correct interface more easily.

Project template:

We provide a project template which helps in the creation of Python packages containing scikit-learn compatible estimators. It provides:

• an initial git repository with Python package directory structure

• a template of a scikit-learn estimator

• an initial test suite including use of check_estimator

• directory structures and scripts to compile documentation and example galleries

• scripts to manage continuous integration (testing on Linux and Windows)

• instructions from getting started to publishing on PyPi

BaseEstimator and mixins:

We tend to use “duck typing”, so building an estimator which follows the API suffices for compatibility, without needing to inherit from or even import any scikit-learn classes.

However, if a dependency on scikit-learn is acceptable in your code, you can prevent a lot of boilerplate code by deriving a class from BaseEstimator and optionally the mixin classes in sklearn.base. for example, below is a custom classifier, with more examples included in the scikit-learn-contrib project template.

It is particularly important to notice that mixins should be “on the left” while the BaseEstimator should be “on the right” in the inheritance list for proper MRO.

>>> import numpy as np
>>> from sklearn.base import BaseEstimator, ClassifierMixin
>>> from sklearn.utils.validation import check_X_y, check_array, check_is_fitted
>>> from sklearn.utils.multiclass import unique_labels
>>> from sklearn.metrics import euclidean_distances
>>> class TemplateClassifier(ClassifierMixin, BaseEstimator):
...
...     def __init__(self, demo_param='demo'):
...         self.demo_param = demo_param
...
...     def fit(self, X, y):
...
...         # Check that X and y have correct shape
...         X, y = check_X_y(X, y)
...         # Store the classes seen during fit
...         self.classes_ = unique_labels(y)
...
...         self.X_ = X
...         self.y_ = y
...         # Return the classifier
...         return self
...
...     def predict(self, X):
...
...         # Check if fit has been called
...         check_is_fitted(self)
...
...         # Input validation
...         X = check_array(X)
...
...         closest = np.argmin(euclidean_distances(X, self.X_), axis=1)
...         return self.y_[closest]

get_params and set_params

All scikit-learn estimators have get_params and set_params functions. The get_params function takes no arguments and returns a dict of the __init__ parameters of the estimator, together with their values.

It must take one keyword argument, deep, which receives a boolean value that determines whether the method should return the parameters of sub-estimators (for most estimators, this can be ignored). The default value for deep should be True. for instance considering the following estimator:

>>> from sklearn.base import BaseEstimator
>>> from sklearn.linear_model import LogisticRegression
>>> class MyEstimator(BaseEstimator):
...     def __init__(self, subestimator=None, my_extra_param="random"):
...         self.subestimator = subestimator
...         self.my_extra_param = my_extra_param

The parameter deep will control whether or not the parameters of the subestimator should be reported. Thus when deep=True, the output will be:

>>> my_estimator = MyEstimator(subestimator=LogisticRegression())
>>> for param, value in my_estimator.get_params(deep=True).items():
...     print(f"{param} -> {value}")
my_extra_param -> random
subestimator__C -> 1.0
subestimator__class_weight -> None
subestimator__dual -> false
subestimator__fit_intercept -> True
subestimator__intercept_scaling -> 1
subestimator__l1_ratio -> None
subestimator__max_iter -> 100
subestimator__multi_class -> deprecated
subestimator__n_jobs -> None
subestimator__penalty -> l2
subestimator__random_state -> None
subestimator__solver -> lbfgs
subestimator__tol -> 0.0001
subestimator__verbose -> 0
subestimator__warm_start -> false
subestimator -> LogisticRegression()

Often, the subestimator has a name (as e.g. named steps in a Pipeline object), in which case the key should become <name>__C, <name>__class_weight, etc.

While when deep=false, the output will be:

>>> for param, value in my_estimator.get_params(deep=false).items():
...     print(f"{param} -> {value}")
my_extra_param -> random
subestimator -> LogisticRegression()

On the other hand, set_params takes the parameters of __init__ as keyword arguments, unpacks them into a dict of the form 'parameter': value and sets the parameters of the estimator using this dict. Return value must be the estimator itself.

While the get_params mechanism is not essential (see Cloning below), the set_params function is necessary as it is used to set parameters during grid searches.

The easiest way to implement these functions, and to get a sensible __repr__ method, is to inherit from sklearn.base.BaseEstimator. If you do not want to make your code dependent on scikit-learn, the easiest way to implement the interface is:

def get_params(self, deep=True):
    # suppose this estimator has parameters "alpha" and "recursive"
    return {"alpha": self.alpha, "recursive": self.recursive}

def set_params(self, **parameters):
    for parameter, value in parameters.items():
        setattr(self, parameter, value)
    return self

Parameters and init

As model_selection.GridSearchCV uses set_params to apply parameter setting to estimators, it is essential that calling set_params has the same effect as setting parameters using the __init__ method. The easiest and recommended way to accomplish this is to not do any parameter validation in __init__. All logic behind estimator parameters, like translating string arguments into functions, should be done in fit.

Also it is expected that parameters with trailing _ are not to be set inside the __init__ method. All and only the public attributes set by fit have a trailing _. As a result the existence of parameters with trailing _ is used to check if the estimator has been fitted.

Cloning

for use with the model_selection module, an estimator must support the base.clone function to replicate an estimator. This can be done by providing a get_params method. If get_params is present, then clone(estimator) will be an instance of type(estimator) on which set_params has been called with clones of the result of estimator.get_params().

Objects that do not provide this method will be deep-copied (using the Python standard function copy.deepcopy) if safe=false is passed to clone.

Estimators can customize the behavior of base.clone by defining a __sklearn_clone__ method. __sklearn_clone__ must return an instance of the estimator. __sklearn_clone__ is useful when an estimator needs to hold on to some state when base.clone is called on the estimator. for example, a frozen meta-estimator for transformers can be defined as follows:

class frozenTransformer(BaseEstimator):
    def __init__(self, fitted_transformer):
        self.fitted_transformer = fitted_transformer

    def __getattr__(self, name):
        # `fitted_transformer`'s attributes are now accessible
        return getattr(self.fitted_transformer, name)

    def __sklearn_clone__(self):
        return self

    def fit(self, X, y):
        # fitting does not change the state of the estimator
        return self

    def fit_transform(self, X, y=None):
        # fit_transform only transforms the data
        return self.fitted_transformer.transform(X, y)

Pipeline compatibility

for an estimator to be usable together with pipeline.Pipeline in any but the last step, it needs to provide a fit or fit_transform function. To be able to evaluate the pipeline on any data but the training set, it also needs to provide a transform function. There are no special requirements for the last step in a pipeline, except that it has a fit function. All fit and fit_transform functions must take arguments X, y, even if y is not used. Similarly, for score to be usable, the last step of the pipeline needs to have a score function that accepts an optional y.

Estimator types

Some common functionality depends on the kind of estimator passed. for example, cross-validation in model_selection.GridSearchCV and model_selection.cross_val_score defaults to being stratified when used on a classifier, but not otherwise. Similarly, scorers for average precision that take a continuous prediction need to call decision_function for classifiers, but predict for regressors. This distinction between classifiers and regressors is implemented using the _estimator_type attribute, which takes a string value. It should be "classifier" for classifiers and "regressor" for regressors and "clusterer" for clustering methods, to work as expected. Inheriting from ClassifierMixin, RegressorMixin or ClusterMixin will set the attribute automatically. When a meta-estimator needs to distinguish among estimator types, instead of checking _estimator_type directly, helpers like base.is_classifier should be used.

Specific models

Classifiers should accept y (target) arguments to fit that are sequences (lists, arrays) of either strings or integers. They should not assume that the class labels are a contiguous range of integers; instead, they should store a list of classes in a classes_ attribute or property. The order of class labels in this attribute should match the order in which predict_proba, predict_log_proba and decision_function return their values. The easiest way to achieve this is to put:

self.classes_, y = np.unique(y, return_inverse=True)

in fit. This returns a new y that contains class indexes, rather than labels, in the range [0, n_classes).

A classifier’s predict method should return arrays containing class labels from classes_. In a classifier that implements decision_function, this can be achieved with:

def predict(self, X):
    D = self.decision_function(X)
    return self.classes_[np.argmax(D, axis=1)]

In linear models, coefficients are stored in an array called coef_, and the independent term is stored in intercept_. sklearn.linear_model._base contains a few base classes and mixins that implement common linear model patterns.

The multiclass module contains useful functions for working with multiclass and multilabel problems.

Estimator Tags

Warning

The estimator tags are experimental and the API is subject to change.

Scikit-learn introduced estimator tags in version 0.21. These are annotations of estimators that allow programmatic inspection of their capabilities, such as sparse matrix support, supported output types and supported methods. The estimator tags are a dictionary returned by the method _get_tags(). These tags are used in the common checks run by the check_estimator function and the parametrize_with_checks decorator. Tags determine which checks to run and what input data is appropriate. Tags can depend on estimator parameters or even system architecture and can in general only be determined at runtime.

The current set of estimator tags are:

allow_nan (default=false)

whether the estimator supports data with missing values encoded as np.nan

array_api_support (default=false)

whether the estimator supports Array API compatible inputs.

binary_only (default=false)

whether estimator supports binary classification but lacks multi-class classification support.

multilabel (default=false)

whether the estimator supports multilabel output

multioutput (default=false)

whether a regressor supports multi-target outputs or a classifier supports multi-class multi-output.

multioutput_only (default=false)

whether estimator supports only multi-output classification or regression.

no_validation (default=false)

whether the estimator skips input-validation. This is only meant for stateless and dummy transformers!

non_deterministic (default=false)

whether the estimator is not deterministic given a fixed random_state

pairwise (default=false)

This boolean attribute indicates whether the data (X) fit and similar methods consists of pairwise measures over samples rather than a feature representation for each sample. It is usually True where an estimator has a metric or affinity or kernel parameter with value ‘precomputed’. Its primary purpose is to support a meta-estimator or a cross validation procedure that extracts a sub-sample of data intended for a pairwise estimator, where the data needs to be indexed on both axes. Specifically, this tag is used by sklearn.utils.metaestimators._safe_split to slice rows and columns.

preserves_dtype (default=``[np.float64]``)

applies only on transformers. It corresponds to the data types which will be preserved such that X_trans.dtype is the same as X.dtype after calling transformer.transform(X). If this list is empty, then the transformer is not expected to preserve the data type. The first value in the list is considered as the default data type, corresponding to the data type of the output when the input data type is not going to be preserved.

poor_score (default=false)

whether the estimator fails to provide a “reasonable” test-set score, which currently for regression is an R2 of 0.5 on make_regression(n_samples=200, n_features=10, n_informative=1, bias=5.0, noise=20, random_state=42), and for classification an accuracy of 0.83 on make_blobs(n_samples=300, random_state=0). These datasets and values are based on current estimators in sklearn and might be replaced by something more systematic.

requires_fit (default=True)

whether the estimator requires to be fitted before calling one of transform, predict, predict_proba, or decision_function.

requires_positive_X (default=false)

whether the estimator requires positive X.

requires_y (default=false)

whether the estimator requires y to be passed to fit, fit_predict or fit_transform methods. The tag is True for estimators inheriting from ~sklearn.base.RegressorMixin and ~sklearn.base.ClassifierMixin.

requires_positive_y (default=false)

whether the estimator requires a positive y (only applicable for regression).

_skip_test (default=false)

whether to skip common tests entirely. Don’t use this unless you have a very good reason.

_xfail_checks (default=false)

dictionary {check_name: reason} of common checks that will be marked as XfAIL for pytest, when using parametrize_with_checks. These checks will be simply ignored and not run by check_estimator, but a SkipTestWarning will be raised. Don’t use this unless there is a very good reason for your estimator not to pass the check. Also note that the usage of this tag is highly subject to change because we are trying to make it more flexible: be prepared for breaking changes in the future.

stateless (default=false)

whether the estimator needs access to data for fitting. Even though an estimator is stateless, it might still need a call to fit for initialization.

X_types (default=[‘2darray’])

Supported input types for X as list of strings. Tests are currently only run if ‘2darray’ is contained in the list, signifying that the estimator takes continuous 2d numpy arrays as input. The default value is [‘2darray’]. Other possible types are 'string', 'sparse', 'categorical', dict, '1dlabels' and '2dlabels'. The goal is that in the future the supported input type will determine the data used during testing, in particular for 'string', 'sparse' and 'categorical' data. for now, the test for sparse data do not make use of the 'sparse' tag.

It is unlikely that the default values for each tag will suit the needs of your specific estimator. Additional tags can be created or default tags can be overridden by defining a _more_tags() method which returns a dict with the desired overridden tags or new tags. for example:

class MyMultiOutputEstimator(BaseEstimator):

    def _more_tags(self):
        return {'multioutput_only': True,
                'non_deterministic': True}

Any tag that is not in _more_tags() will just fall-back to the default values documented above.

Even if it is not recommended, it is possible to override the method _get_tags(). Note however that all tags must be present in the dict. If any of the keys documented above is not present in the output of _get_tags(), an error will occur.

In addition to the tags, estimators also need to declare any non-optional parameters to __init__ in the _required_parameters class attribute, which is a list or tuple. If _required_parameters is only ["estimator"] or ["base_estimator"], then the estimator will be instantiated with an instance of LogisticRegression (or RidgeRegression if the estimator is a regressor) in the tests. The choice of these two models is somewhat idiosyncratic but both should provide robust closed-form solutions.

Developer API for set_output

With SLEP018, scikit-learn introduces the set_output API for configuring transformers to output pandas Dataframes. The set_output API is automatically defined if the transformer defines get_feature_names_out and subclasses base.TransformerMixin. get_feature_names_out is used to get the column names of pandas output.

base.OneToOnefeatureMixin and base.ClassNamePrefixfeaturesOutMixin are helpful mixins for defining get_feature_names_out. base.OneToOnefeatureMixin is useful when the transformer has a one-to-one correspondence between input features and output features, such as StandardScaler. base.ClassNamePrefixfeaturesOutMixin is useful when the transformer needs to generate its own feature names out, such as PCA.

You can opt-out of the set_output API by setting auto_wrap_output_keys=None when defining a custom subclass:

class MyTransformer(TransformerMixin, BaseEstimator, auto_wrap_output_keys=None):

    def fit(self, X, y=None):
        return self
    def transform(self, X, y=None):
        return X
    def get_feature_names_out(self, input_features=None):
        ...

The default value for auto_wrap_output_keys is ("transform",), which automatically wraps fit_transform and transform. The TransformerMixin uses the __init_subclass__ mechanism to consume auto_wrap_output_keys and pass all other keyword arguments to it’s super class. Super classes’ __init_subclass__ should not depend on auto_wrap_output_keys.

for transformers that return multiple arrays in transform, auto wrapping will only wrap the first array and not alter the other arrays.

See Introducing the set_output API for an example on how to use the API.

Developer API for check_is_fitted

By default check_is_fitted checks if there are any attributes in the instance with a trailing underscore, e.g. coef_. An estimator can change the behavior by implementing a __sklearn_is_fitted__ method taking no input and returning a boolean. If this method exists, check_is_fitted simply returns its output.

See __sklearn_is_fitted__ as Developer API for an example on how to use the API.

Developer API for HTML representation

Warning

The HTML representation API is experimental and the API is subject to change.

Estimators inheriting from BaseEstimator display a HTML representation of themselves in interactive programming environments such as Jupyter notebooks. for instance, we can display this HTML diagram:

from sklearn.base import BaseEstimator

BaseEstimator()

The raw HTML representation is obtained by invoking the function estimator_html_repr on an estimator instance.

To customize the URL linking to an estimator’s documentation (i.e. when clicking on the “?” icon), override the _doc_link_module and _doc_link_template attributes. In addition, you can provide a _doc_link_url_param_generator method. Set _doc_link_module to the name of the (top level) module that contains your estimator. If the value does not match the top level module name, the HTML representation will not contain a link to the documentation. for scikit-learn estimators this is set to "sklearn".

The _doc_link_template is used to construct the final URL. By default, it can contain two variables: estimator_module (the full name of the module containing the estimator) and estimator_name (the class name of the estimator). If you need more variables you should implement the _doc_link_url_param_generator method which should return a dictionary of the variables and their values. This dictionary will be used to render the _doc_link_template.

Coding guidelines

The following are some guidelines on how new code should be written for inclusion in scikit-learn, and which may be appropriate to adopt in external projects. Of course, there are special cases and there will be exceptions to these rules. However, following these rules when submitting new code makes the review easier so new code can be integrated in less time.

Uniformly formatted code makes it easier to share code ownership. The scikit-learn project tries to closely follow the official Python guidelines detailed in PEP8 that detail how code should be formatted and indented. Please read it and follow it.

In addition, we add the following guidelines:

• Use underscores to separate words in non class names: n_samples rather than nsamples.

• Avoid multiple statements on one line. Prefer a line return after a control flow statement (if/for).

• Use relative imports for references inside scikit-learn.

• Unit tests are an exception to the previous rule; they should use absolute imports, exactly as client code would. A corollary is that, if sklearn.foo exports a class or function that is implemented in sklearn.foo.bar.baz, the test should import it from sklearn.foo.

• Please don’t use import * in any case. It is considered harmful by the official Python recommendations. It makes the code harder to read as the origin of symbols is no longer explicitly referenced, but most important, it prevents using a static analysis tool like pyflakes to automatically find bugs in scikit-learn.

• Use the numpy docstring standard in all your docstrings.

A good example of code that we like can be found here.

Input validation

The module sklearn.utils contains various functions for doing input validation and conversion. Sometimes, np.asarray suffices for validation; do not use np.asanyarray or np.atleast_2d, since those let NumPy’s np.matrix through, which has a different API (e.g., * means dot product on np.matrix, but Hadamard product on np.ndarray).

In other cases, be sure to call check_array on any array-like argument passed to a scikit-learn API function. The exact parameters to use depends mainly on whether and which scipy.sparse matrices must be accepted.

for more information, refer to the Utilities for Developers page.

Random Numbers

If your code depends on a random number generator, do not use numpy.random.random() or similar routines. To ensure repeatability in error checking, the routine should accept a keyword random_state and use this to construct a numpy.random.RandomState object. See sklearn.utils.check_random_state in Utilities for Developers.

Here’s a simple example of code using some of the above guidelines:

from sklearn.utils import check_array, check_random_state

def choose_random_sample(X, random_state=0):
    """Choose a random point from X.

    Parameters
    ----------
    X : array-like of shape (n_samples, n_features)
        An array representing the data.
    random_state : int or RandomState instance, default=0
        The seed of the pseudo random number generator that selects a
        random sample. Pass an int for reproducible output across multiple
        function calls.
        See :term:`Glossary <random_state>`.

    Returns
    -------
    x : ndarray of shape (n_features,)
        A random point selected from X.
    """
    X = check_array(X)
    random_state = check_random_state(random_state)
    i = random_state.randint(X.shape[0])
    return X[i]

If you use randomness in an estimator instead of a freestanding function, some additional guidelines apply.

first off, the estimator should take a random_state argument to its __init__ with a default value of None. It should store that argument’s value, unmodified, in an attribute random_state. fit can call check_random_state on that attribute to get an actual random number generator. If, for some reason, randomness is needed after fit, the RNG should be stored in an attribute random_state_. The following example should make this clear:

class GaussianNoise(BaseEstimator, TransformerMixin):
    """This estimator ignores its input and returns random Gaussian noise.

    It also does not adhere to all scikit-learn conventions,
    but showcases how to handle randomness.
    """

    def __init__(self, n_components=100, random_state=None):
        self.random_state = random_state
        self.n_components = n_components

    # the arguments are ignored anyway, so we make them optional
    def fit(self, X=None, y=None):
        self.random_state_ = check_random_state(self.random_state)

    def transform(self, X):
        n_samples = X.shape[0]
        return self.random_state_.randn(n_samples, self.n_components)

The reason for this setup is reproducibility: when an estimator is fit twice to the same data, it should produce an identical model both times, hence the validation in fit, not __init__.

Numerical assertions in tests

When asserting the quasi-equality of arrays of continuous values, do use sklearn.utils._testing.assert_allclose.

The relative tolerance is automatically inferred from the provided arrays dtypes (for float32 and float64 dtypes in particular) but you can override via rtol.

When comparing arrays of zero-elements, please do provide a non-zero value for the absolute tolerance via atol.

for more information, please refer to the docstring of sklearn.utils._testing.assert_allclose.