# Statistical learning: the setting and the estimator object in scikit-learn¶

## Datasets¶

Scikit-learn deals with learning information from one or more
datasets that are represented as 2D arrays. They can be understood as a
list of multi-dimensional observations. We say that the first axis of
these arrays is the **samples** axis, while the second is the
**features** axis.

A simple example shipped with the scikit: iris dataset

```
>>> from sklearn import datasets
>>> iris = datasets.load_iris()
>>> data = iris.data
>>> data.shape
(150, 4)
```

It is made of 150 observations of irises, each described by 4
features: their sepal and petal length and width, as detailed in
`iris.DESCR`

.

When the data is not initially in the `(n_samples, n_features)`

shape, it
needs to be preprocessed in order to be used by scikit-learn.

An example of reshaping data would be the digits dataset

The digits dataset is made of 1797 8x8 images of hand-written digits

```
>>> digits = datasets.load_digits()
>>> digits.images.shape
(1797, 8, 8)
>>> import pylab as pl
>>> pl.imshow(digits.images[-1], cmap=pl.cm.gray_r)
<matplotlib.image.AxesImage object at ...>
```

To use this dataset with the scikit, we transform each 8x8 image into a feature vector of length 64

```
>>> data = digits.images.reshape((digits.images.shape[0], -1))
```

## Estimators objects¶

**Fitting data**: the main API implemented by scikit-learn is that of the
estimator. An estimator is any object that learns from data;
it may be a classification, regression or clustering algorithm or
a *transformer* that extracts/filters useful features from raw data.

All estimator objects expose a `fit`

method that takes a dataset
(usually a 2-d array):

```
>>> estimator.fit(data)
```

**Estimator parameters**: All the parameters of an estimator can be set
when it is instantiated or by modifying the corresponding attribute:

```
>>> estimator = Estimator(param1=1, param2=2)
>>> estimator.param1
1
```

**Estimated parameters**: When data is fitted with an estimator,
parameters are estimated from the data at hand. All the estimated
parameters are attributes of the estimator object ending by an
underscore:

```
>>> estimator.estimated_param_
```