scikit-learn/doc/tutorial/basic/tutorial.rst

.. _introduction:

An introduction to machine learning with scikit-learn
=====================================================

.. topic:: Section contents

    In this section, we introduce the `machine learning
    <https://en.wikipedia.org/wiki/Machine_learning>`_
    vocabulary that we use throughout scikit-learn and give a
    simple learning example.


Machine learning: the problem setting
-------------------------------------

In general, a learning problem considers a set of n
`samples <https://en.wikipedia.org/wiki/Sample_(statistics)>`_ of
data and then tries to predict properties of unknown data. If each sample is
more than a single number and, for instance, a multi-dimensional entry
(aka `multivariate <https://en.wikipedia.org/wiki/Multivariate_random_variable>`_
data), it is said to have several attributes or **features**.

Learning problems fall into a few categories:

 * `supervised learning <https://en.wikipedia.org/wiki/Supervised_learning>`_,
   in which the data comes with additional attributes that we want to predict
   (:ref:`Click here <supervised-learning>`
   to go to the scikit-learn supervised learning page).This problem
   can be either:

    * `classification
      <https://en.wikipedia.org/wiki/Classification_in_machine_learning>`_:
      samples belong to two or more classes and we
      want to learn from already labeled data how to predict the class
      of unlabeled data. An example of a classification problem would
      be handwritten digit recognition, in which the aim is
      to assign each input vector to one of a finite number of discrete
      categories.  Another way to think of classification is as a discrete
      (as opposed to continuous) form of supervised learning where one has a
      limited number of categories and for each of the n samples provided,
      one is to try to label them with the correct category or class.

    * `regression <https://en.wikipedia.org/wiki/Regression_analysis>`_:
      if the desired output consists of one or more
      continuous variables, then the task is called *regression*. An
      example of a regression problem would be the prediction of the
      length of a salmon as a function of its age and weight.

 * `unsupervised learning <https://en.wikipedia.org/wiki/Unsupervised_learning>`_,
   in which the training data consists of a set of input vectors x
   without any corresponding target values. The goal in such problems
   may be to discover groups of similar examples within the data, where
   it is called `clustering <https://en.wikipedia.org/wiki/Cluster_analysis>`_,
   or to determine the distribution of data within the input space, known as
   `density estimation <https://en.wikipedia.org/wiki/Density_estimation>`_, or
   to project the data from a high-dimensional space down to two or three
   dimensions for the purpose of *visualization*
   (:ref:`Click here <unsupervised-learning>`
   to go to the Scikit-Learn unsupervised learning page).

.. topic:: Training set and testing set

    Machine learning is about learning some properties of a data set
    and then testing those properties against another data set. A common
    practice in machine learning is to evaluate an algorithm by splitting a data
    set into two. We call one of those sets the **training set**, on which we
    learn some properties; we call the other set the **testing set**, on which
    we test the learned properties.


.. _loading_example_dataset:

Loading an example dataset
--------------------------

`scikit-learn` comes with a few standard datasets, for instance the
`iris <https://en.wikipedia.org/wiki/Iris_flower_data_set>`_ and `digits
<https://archive.ics.uci.edu/ml/datasets/Pen-Based+Recognition+of+Handwritten+Digits>`_
datasets for classification and the `diabetes dataset
<https://www4.stat.ncsu.edu/~boos/var.select/diabetes.html>`_ for regression.

In the following, we start a Python interpreter from our shell and then
load the ``iris`` and ``digits`` datasets.  Our notational convention is that
``$`` denotes the shell prompt while ``>>>`` denotes the Python
interpreter prompt::

  $ python
  >>> from sklearn import datasets
  >>> iris = datasets.load_iris()
  >>> digits = datasets.load_digits()

A dataset is a dictionary-like object that holds all the data and some
metadata about the data. This data is stored in the ``.data`` member,
which is a ``n_samples, n_features`` array. In the case of supervised
problem, one or more response variables are stored in the ``.target`` member. More
details on the different datasets can be found in the :ref:`dedicated
section <datasets>`.

For instance, in the case of the digits dataset, ``digits.data`` gives
access to the features that can be used to classify the digits samples::

  >>> print(digits.data)
  [[ 0.   0.   5. ...   0.   0.   0.]
   [ 0.   0.   0. ...  10.   0.   0.]
   [ 0.   0.   0. ...  16.   9.   0.]
   ...
   [ 0.   0.   1. ...   6.   0.   0.]
   [ 0.   0.   2. ...  12.   0.   0.]
   [ 0.   0.  10. ...  12.   1.   0.]]

and ``digits.target`` gives the ground truth for the digit dataset, that
is the number corresponding to each digit image that we are trying to
learn::

  >>> digits.target
  array([0, 1, 2, ..., 8, 9, 8])

.. topic:: Shape of the data arrays

    The data is always a 2D array, shape ``(n_samples, n_features)``, although
    the original data may have had a different shape. In the case of the
    digits, each original sample is an image of shape ``(8, 8)`` and can be
    accessed using::

      >>> digits.images[0]
      array([[  0.,   0.,   5.,  13.,   9.,   1.,   0.,   0.],
             [  0.,   0.,  13.,  15.,  10.,  15.,   5.,   0.],
             [  0.,   3.,  15.,   2.,   0.,  11.,   8.,   0.],
             [  0.,   4.,  12.,   0.,   0.,   8.,   8.,   0.],
             [  0.,   5.,   8.,   0.,   0.,   9.,   8.,   0.],
             [  0.,   4.,  11.,   0.,   1.,  12.,   7.,   0.],
             [  0.,   2.,  14.,   5.,  10.,  12.,   0.,   0.],
             [  0.,   0.,   6.,  13.,  10.,   0.,   0.,   0.]])

    The :ref:`simple example on this dataset
    <sphx_glr_auto_examples_classification_plot_digits_classification.py>` illustrates how starting
    from the original problem one can shape the data for consumption in
    scikit-learn.

.. topic:: Loading from external datasets

    To load from an external dataset, please refer to :ref:`loading external datasets <external_datasets>`.

Learning and predicting
------------------------

In the case of the digits dataset, the task is to predict, given an image,
which digit it represents. We are given samples of each of the 10
possible classes (the digits zero through nine) on which we *fit* an
`estimator <https://en.wikipedia.org/wiki/Estimator>`_ to be able to *predict*
the classes to which unseen samples belong.

In scikit-learn, an estimator for classification is a Python object that
implements the methods ``fit(X, y)`` and ``predict(T)``.

An example of an estimator is the class ``sklearn.svm.SVC``, which
implements `support vector classification
<https://en.wikipedia.org/wiki/Support_vector_machine>`_. The
estimator's constructor takes as arguments the model's parameters.

For now, we will consider the estimator as a black box::

  >>> from sklearn import svm
  >>> clf = svm.SVC(gamma=0.001, C=100.)

.. topic:: Choosing the parameters of the model

  In this example, we set the value of ``gamma`` manually.
  To find good values for these parameters, we can use tools
  such as :ref:`grid search <grid_search>` and :ref:`cross validation
  <cross_validation>`.

The ``clf`` (for classifier) estimator instance is first
fitted to the model; that is, it must *learn* from the model. This is
done by passing our training set to the ``fit`` method. For the training
set, we'll use all the images from our dataset, except for the last
image, which we'll reserve for our predicting. We select the training set with
the ``[:-1]`` Python syntax, which produces a new array that contains all but
the last item from ``digits.data``::

  >>> clf.fit(digits.data[:-1], digits.target[:-1])
  SVC(C=100.0, gamma=0.001)

Now you can *predict* new values. In this case, you'll predict using the last
image from ``digits.data``. By predicting, you'll determine the image from the 
training set that best matches the last image.


  >>> clf.predict(digits.data[-1:])
  array([8])

The corresponding image is:

.. image:: /auto_examples/datasets/images/sphx_glr_plot_digits_last_image_001.png
    :target: ../../auto_examples/datasets/plot_digits_last_image.html
    :align: center
    :scale: 50

As you can see, it is a challenging task: after all, the images are of poor
resolution. Do you agree with the classifier?

A complete example of this classification problem is available as an
example that you can run and study:
:ref:`sphx_glr_auto_examples_classification_plot_digits_classification.py`.

Conventions
-----------

scikit-learn estimators follow certain rules to make their behavior more
predictive.  These are described in more detail in the :ref:`glossary`.

Type casting
~~~~~~~~~~~~

Unless otherwise specified, input will be cast to ``float64``::

  >>> import numpy as np
  >>> from sklearn import random_projection

  >>> rng = np.random.RandomState(0)
  >>> X = rng.rand(10, 2000)
  >>> X = np.array(X, dtype='float32')
  >>> X.dtype
  dtype('float32')

  >>> transformer = random_projection.GaussianRandomProjection()
  >>> X_new = transformer.fit_transform(X)
  >>> X_new.dtype
  dtype('float64')

In this example, ``X`` is ``float32``, which is cast to ``float64`` by
``fit_transform(X)``.

Regression targets are cast to ``float64`` and classification targets are
maintained::

    >>> from sklearn import datasets
    >>> from sklearn.svm import SVC
    >>> iris = datasets.load_iris()
    >>> clf = SVC()
    >>> clf.fit(iris.data, iris.target)
    SVC()

    >>> list(clf.predict(iris.data[:3]))
    [0, 0, 0]

    >>> clf.fit(iris.data, iris.target_names[iris.target])
    SVC()

    >>> list(clf.predict(iris.data[:3]))
    ['setosa', 'setosa', 'setosa']

Here, the first ``predict()`` returns an integer array, since ``iris.target``
(an integer array) was used in ``fit``. The second ``predict()`` returns a string
array, since ``iris.target_names`` was for fitting.

Refitting and updating parameters
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hyper-parameters of an estimator can be updated after it has been constructed
via the :term:`set_params()<set_params>` method. Calling ``fit()`` more than
once will overwrite what was learned by any previous ``fit()``::

  >>> import numpy as np
  >>> from sklearn.datasets import load_iris
  >>> from sklearn.svm import SVC
  >>> X, y = load_iris(return_X_y=True)

  >>> clf = SVC()
  >>> clf.set_params(kernel='linear').fit(X, y)
  SVC(kernel='linear')
  >>> clf.predict(X[:5])
  array([0, 0, 0, 0, 0])

  >>> clf.set_params(kernel='rbf').fit(X, y)
  SVC()
  >>> clf.predict(X[:5])
  array([0, 0, 0, 0, 0])

Here, the default kernel ``rbf`` is first changed to ``linear`` via
:func:`SVC.set_params()<sklearn.svm.SVC.set_params>` after the estimator has
been constructed, and changed back to ``rbf`` to refit the estimator and to
make a second prediction.

Multiclass vs. multilabel fitting
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

When using :class:`multiclass classifiers <sklearn.multiclass>`,
the learning and prediction task that is performed is dependent on the format of
the target data fit upon::

    >>> from sklearn.svm import SVC
    >>> from sklearn.multiclass import OneVsRestClassifier
    >>> from sklearn.preprocessing import LabelBinarizer

    >>> X = [[1, 2], [2, 4], [4, 5], [3, 2], [3, 1]]
    >>> y = [0, 0, 1, 1, 2]

    >>> classif = OneVsRestClassifier(estimator=SVC(random_state=0))
    >>> classif.fit(X, y).predict(X)
    array([0, 0, 1, 1, 2])

In the above case, the classifier is fit on a 1d array of multiclass labels and
the ``predict()`` method therefore provides corresponding multiclass predictions.
It is also possible to fit upon a 2d array of binary label indicators::

    >>> y = LabelBinarizer().fit_transform(y)
    >>> classif.fit(X, y).predict(X)
    array([[1, 0, 0],
           [1, 0, 0],
           [0, 1, 0],
           [0, 0, 0],
           [0, 0, 0]])

Here, the classifier is ``fit()``  on a 2d binary label representation of ``y``,
using the :class:`LabelBinarizer <sklearn.preprocessing.LabelBinarizer>`.
In this case ``predict()`` returns a 2d array representing the corresponding
multilabel predictions.

Note that the fourth and fifth instances returned all zeroes, indicating that
they matched none of the three labels ``fit`` upon. With multilabel outputs, it
is similarly possible for an instance to be assigned multiple labels::

  >>> from sklearn.preprocessing import MultiLabelBinarizer
  >>> y = [[0, 1], [0, 2], [1, 3], [0, 2, 3], [2, 4]]
  >>> y = MultiLabelBinarizer().fit_transform(y)
  >>> classif.fit(X, y).predict(X)
  array([[1, 1, 0, 0, 0],
         [1, 0, 1, 0, 0],
         [0, 1, 0, 1, 0],
         [1, 0, 1, 0, 0],
         [1, 0, 1, 0, 0]])

In this case, the classifier is fit upon instances each assigned multiple labels.
The :class:`MultiLabelBinarizer <sklearn.preprocessing.MultiLabelBinarizer>` is
used to binarize the 2d array of multilabels to ``fit`` upon. As a result,
``predict()`` returns a 2d array with multiple predicted labels for each instance.