# Utilities for Developers¶

Scikit-learn contains a number of utilities to help with development. These are
located in `sklearn.utils`, and include tools in a number of categories.
All the following functions and classes are in the module `sklearn.utils`.

Warning

These utilities are meant to be used internally within the scikit-learn package. They are not guaranteed to be stable between versions of scikit-learn. Backports, in particular, will be removed as the scikit-learn dependencies evolve.

## Validation Tools¶

These are tools used to check and validate input. When you write a function which accepts arrays, matrices, or sparse matrices as arguments, the following should be used when applicable.

`assert_all_finite`: Throw an error if array contains NaNs or Infs.`safe_asarray`: Convert input to array or sparse matrix. Equivalent to`np.asarray`, but sparse matrices are passed through.`as_float_array`: convert input to an array of floats. If a sparse matrix is passed, a sparse matrix will be returned.`array2d`: equivalent to`np.atleast_2d`, but the`order`and`dtype`of the input are maintained.`atleast2d_or_csr`: equivalent to`array2d`, but if a sparse matrix is passed, will convert to csr format. Also calls`assert_all_finite`.`check_arrays`: check that all input arrays have consistent first dimensions. This will work for an arbitrary number of arrays.`warn_if_not_float`: Warn if input is not a floating-point value. the input`X`is assumed to have`X.dtype`.

If your code relies on a random number generator, it should never use
functions like `numpy.random.random` or `numpy.random.normal`. This
approach can lead to repeatability issues in unit tests. Instead, a
`numpy.random.RandomState` object should be used, which is built from
a `random_state` argument passed to the class or function. The function
`check_random_state`, below, can then be used to create a random
number generator object.

`check_random_state`: create a`np.random.RandomState`object from a parameter`random_state`.- If
`random_state`is`None`or`np.random`, then a randomly-initialized`RandomState`object is returned. - If
`random_state`is an integer, then it is used to seed a new`RandomState`object. - If
`random_state`is a`RandomState`object, then it is passed through.

- If

For example:

```
>>> from sklearn.utils import check_random_state
>>> random_state = 0
>>> random_state = check_random_state(random_state)
>>> random_state.rand(4)
array([ 0.5488135 , 0.71518937, 0.60276338, 0.54488318])
```

## Efficient Linear Algebra & Array Operations¶

`extmath.randomized_range_finder`: construct an orthonormal matrix whose range approximates the range of the input. This is used in`extmath.randomized_svd`, below.`extmath.randomized_svd`: compute the k-truncated randomized SVD. This algorithm finds the exact truncated singular values decomposition using randomization to speed up the computations. It is particularly fast on large matrices on which you wish to extract only a small number of components.`arrayfuncs.cholesky_delete`: (used in`sklearn.linear_model.least_angle.lars_path`) Remove an item from a cholesky factorization.`arrayfuncs.min_pos`: (used in`sklearn.linear_model.least_angle`) Find the minimum of the positive values within an array.`extmath.norm`: computes Euclidean (L2) vector norm by directly calling the BLAS`nrm2`function. This is more stable than`scipy.linalg.norm`. See Fabian’s blog post for a discussion.`extmath.fast_logdet`: efficiently compute the log of the determinant of a matrix.`extmath.density`: efficiently compute the density of a sparse vector`extmath.safe_sparse_dot`: dot product which will correctly handle`scipy.sparse`inputs. If the inputs are dense, it is equivalent to`numpy.dot`.`extmath.logsumexp`: compute the sum of X assuming X is in the log domain. This is equivalent to calling`np.log(np.sum(np.exp(X)))`, but is robust to overflow/underflow errors. Note that there is similar functionality in`np.logaddexp.reduce`, but because of the pairwise nature of this routine, it is slower for large arrays. Scipy has a similar routine in`scipy.misc.logsumexp`(In scipy versions < 0.10, this is found in`scipy.maxentropy.logsumexp`), but the scipy version does not accept an`axis`keyword.`extmath.weighted_mode`: an extension of`scipy.stats.mode`which allows each item to have a real-valued weight.`resample`: Resample arrays or sparse matrices in a consistent way. used in`shuffle`, below.`shuffle`: Shuffle arrays or sparse matrices in a consistent way. Used in`sklearn.cluster.k_means`.

## Efficient Random Sampling¶

`random.sample_without_replacement`: implements efficient algorithms for sampling n_samples integers from a population of size n_population without replacement.

## Efficient Routines for Sparse Matrices¶

The `sklearn.utils.sparsefuncs` cython module hosts compiled extensions to
efficiently process `scipy.sparse` data.

`sparsefuncs.mean_variance_axis0`: compute the means and variances along axis 0 of a CSR matrix. Used for normalizing the tolerance stopping criterion in`sklearn.cluster.k_means_.KMeans`.`sparsefuncs.inplace_csr_row_normalize_l1`and`sparsefuncs.inplace_csr_row_normalize_l2`: can be used to normalize individual sparse samples to unit l1 or l2 norm as done in`sklearn.preprocessing.Normalizer`.`sparsefuncs.inplace_csr_column_scale`: can be used to multiply the columns of a CSR matrix by a constant scale (one scale per column). Used for scaling features to unit standard deviation in`sklearn.preprocessing.StandardScaler`.

## Graph Routines¶

`graph.single_source_shortest_path_length`: (not currently used in scikit-learn) Return the shortest path from a single source to all connected nodes on a graph. Code is adapted from networkx. If this is ever needed again, it would be far faster to use a single iteration of Dijkstra’s algorithm from`graph_shortest_path`.`graph.graph_laplacian`: (used in`sklearn.cluster.spectral.spectral_embedding`) Return the Laplacian of a given graph. There is specialized code for both dense and sparse connectivity matrices.`graph_shortest_path.graph_shortest_path`: (used in :class:`sklearn.manifold.Isomap`) Return the shortest path between all pairs of connected points on a directed or undirected graph. Both the Floyd-Warshall algorithm and Dijkstra’s algorithm are available. The algorithm is most efficient when the connectivity matrix is a`scipy.sparse.csr_matrix`.

## Backports¶

`fixes.expit`: Logistic sigmoid function. Replacement for SciPy 0.10’s`scipy.special.expit`.`sparsetools.connected_components`(backported from`scipy.sparse.connected_components`in scipy 0.12). Used in`sklearn.cluster.hierarchical`, as well as in tests for`sklearn.feature_extraction`.`fixes.isclose`(backported from`numpy.isclose`in numpy 1.8.1). In versions before 1.7, this function was not available in numpy. Used in`sklearn.metrics`.

### ARPACK¶

`arpack.eigs`(backported from`scipy.sparse.linalg.eigs`in scipy 0.10) Sparse non-symmetric eigenvalue decomposition using the Arnoldi method. A limited version of`eigs`is available in earlier scipy versions.`arpack.eigsh`(backported from`scipy.sparse.linalg.eigsh`in scipy 0.10) Sparse non-symmetric eigenvalue decomposition using the Arnoldi method. A limited version of`eigsh`is available in earlier scipy versions.`arpack.svds`(backported from`scipy.sparse.linalg.svds`in scipy 0.10) Sparse non-symmetric eigenvalue decomposition using the Arnoldi method. A limited version of`svds`is available in earlier scipy versions.

### Benchmarking¶

`bench.total_seconds`(back-ported from`timedelta.total_seconds`in Python 2.7). Used in`benchmarks/bench_glm.py`.

## Testing Functions¶

`testing.assert_in`,`testing.assert_not_in`: Assertions for container membership. Designed for forward compatibility with Nose 1.0.`testing.assert_raise_message`: Assertions for checking the error raise message.`testing.mock_mldata_urlopen`: Mocks the urlopen function to fake requests to mldata.org. Used in tests of`sklearn.datasets`.`testing.all_estimators`: returns a list of all estimators in sklearn to test for consistent behavior and interfaces.

## Multiclass and multilabel utility function¶

`multiclass.is_multilabel`: Helper function to check if the task is a multi-label classification one.`multiclass.is_label_indicator_matrix`: Helper function to check if a classification output is in label indicator matrix format.`multiclass.unique_labels`: Helper function to extract an ordered array of unique labels from different formats of target.

## Helper Functions¶

`gen_even_slices`: generator to create`n`-packs of slices going up to`n`. Used in`sklearn.decomposition.dict_learning`and`sklearn.cluster.k_means`.`safe_mask`: Helper function to convert a mask to the format expected by the numpy array or scipy sparse matrix on which to use it (sparse matrices support integer indices only while numpy arrays support both boolean masks and integer indices).`safe_sqr`: Helper function for unified squaring (`**2`) of array-likes, matrices and sparse matrices.

## Hash Functions¶

`murmurhash3_32`provides a python wrapper for the MurmurHash3_x86_32 C++ non cryptographic hash function. This hash function is suitable for implementing lookup tables, Bloom filters, Count Min Sketch, feature hashing and implicitly defined sparse random projections:>>> from sklearn.utils import murmurhash3_32 >>> murmurhash3_32("some feature", seed=0) == -384616559 True >>> murmurhash3_32("some feature", seed=0, positive=True) == 3910350737 True

The

`sklearn.utils.murmurhash`module can also be “cimported” from other cython modules so as to benefit from the high performance of MurmurHash while skipping the overhead of the Python interpreter.

## Warnings and Exceptions¶

`deprecated`: Decorator to mark a function or class as deprecated.`ConvergenceWarning`: Custom warning to catch convergence problems. Used in`sklearn.covariance.graph_lasso`.