File: test_impute.py

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import pytest

import numpy as np
from scipy import sparse

import io

from sklearn.utils.testing import assert_allclose
from sklearn.utils.testing import assert_allclose_dense_sparse
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_false

from sklearn.impute import MissingIndicator
from sklearn.impute import SimpleImputer
from sklearn.pipeline import Pipeline
from sklearn.model_selection import GridSearchCV
from sklearn import tree
from sklearn.random_projection import sparse_random_matrix


def _check_statistics(X, X_true,
                      strategy, statistics, missing_values):
    """Utility function for testing imputation for a given strategy.

    Test with dense and sparse arrays

    Check that:
        - the statistics (mean, median, mode) are correct
        - the missing values are imputed correctly"""

    err_msg = "Parameters: strategy = %s, missing_values = %s, " \
              "sparse = {0}" % (strategy, missing_values)

    assert_ae = assert_array_equal

    if X.dtype.kind == 'f' or X_true.dtype.kind == 'f':
        assert_ae = assert_array_almost_equal

    # Normal matrix
    imputer = SimpleImputer(missing_values, strategy=strategy)
    X_trans = imputer.fit(X).transform(X.copy())
    assert_ae(imputer.statistics_, statistics,
              err_msg=err_msg.format(False))
    assert_ae(X_trans, X_true, err_msg=err_msg.format(False))

    # Sparse matrix
    imputer = SimpleImputer(missing_values, strategy=strategy)
    imputer.fit(sparse.csc_matrix(X))
    X_trans = imputer.transform(sparse.csc_matrix(X.copy()))

    if sparse.issparse(X_trans):
        X_trans = X_trans.toarray()

    assert_ae(imputer.statistics_, statistics,
              err_msg=err_msg.format(True))
    assert_ae(X_trans, X_true, err_msg=err_msg.format(True))


def test_imputation_shape():
    # Verify the shapes of the imputed matrix for different strategies.
    X = np.random.randn(10, 2)
    X[::2] = np.nan

    for strategy in ['mean', 'median', 'most_frequent', "constant"]:
        imputer = SimpleImputer(strategy=strategy)
        X_imputed = imputer.fit_transform(sparse.csr_matrix(X))
        assert X_imputed.shape == (10, 2)
        X_imputed = imputer.fit_transform(X)
        assert X_imputed.shape == (10, 2)


@pytest.mark.parametrize("strategy", ["const", 101, None])
def test_imputation_error_invalid_strategy(strategy):
    X = np.ones((3, 5))
    X[0, 0] = np.nan

    with pytest.raises(ValueError, match=str(strategy)):
        imputer = SimpleImputer(strategy=strategy)
        imputer.fit_transform(X)


@pytest.mark.parametrize("strategy", ["mean", "median", "most_frequent"])
def test_imputation_deletion_warning(strategy):
    X = np.ones((3, 5))
    X[:, 0] = np.nan

    with pytest.warns(UserWarning, match="Deleting"):
        imputer = SimpleImputer(strategy=strategy, verbose=True)
        imputer.fit_transform(X)


@pytest.mark.parametrize("strategy", ["mean", "median",
                                      "most_frequent", "constant"])
def test_imputation_error_sparse_0(strategy):
    # check that error are raised when missing_values = 0 and input is sparse
    X = np.ones((3, 5))
    X[0] = 0
    X = sparse.csc_matrix(X)

    imputer = SimpleImputer(strategy=strategy, missing_values=0)
    with pytest.raises(ValueError, match="Provide a dense array"):
        imputer.fit(X)

    imputer.fit(X.toarray())
    with pytest.raises(ValueError, match="Provide a dense array"):
        imputer.transform(X)


def safe_median(arr, *args, **kwargs):
    # np.median([]) raises a TypeError for numpy >= 1.10.1
    length = arr.size if hasattr(arr, 'size') else len(arr)
    return np.nan if length == 0 else np.median(arr, *args, **kwargs)


def safe_mean(arr, *args, **kwargs):
    # np.mean([]) raises a RuntimeWarning for numpy >= 1.10.1
    length = arr.size if hasattr(arr, 'size') else len(arr)
    return np.nan if length == 0 else np.mean(arr, *args, **kwargs)


def test_imputation_mean_median():
    # Test imputation using the mean and median strategies, when
    # missing_values != 0.
    rng = np.random.RandomState(0)

    dim = 10
    dec = 10
    shape = (dim * dim, dim + dec)

    zeros = np.zeros(shape[0])
    values = np.arange(1, shape[0] + 1)
    values[4::2] = - values[4::2]

    tests = [("mean", np.nan, lambda z, v, p: safe_mean(np.hstack((z, v)))),
             ("median", np.nan,
              lambda z, v, p: safe_median(np.hstack((z, v))))]

    for strategy, test_missing_values, true_value_fun in tests:
        X = np.empty(shape)
        X_true = np.empty(shape)
        true_statistics = np.empty(shape[1])

        # Create a matrix X with columns
        #    - with only zeros,
        #    - with only missing values
        #    - with zeros, missing values and values
        # And a matrix X_true containing all true values
        for j in range(shape[1]):
            nb_zeros = (j - dec + 1 > 0) * (j - dec + 1) * (j - dec + 1)
            nb_missing_values = max(shape[0] + dec * dec
                                    - (j + dec) * (j + dec), 0)
            nb_values = shape[0] - nb_zeros - nb_missing_values

            z = zeros[:nb_zeros]
            p = np.repeat(test_missing_values, nb_missing_values)
            v = values[rng.permutation(len(values))[:nb_values]]

            true_statistics[j] = true_value_fun(z, v, p)

            # Create the columns
            X[:, j] = np.hstack((v, z, p))

            if 0 == test_missing_values:
                X_true[:, j] = np.hstack((v,
                                          np.repeat(
                                              true_statistics[j],
                                              nb_missing_values + nb_zeros)))
            else:
                X_true[:, j] = np.hstack((v,
                                          z,
                                          np.repeat(true_statistics[j],
                                                    nb_missing_values)))

            # Shuffle them the same way
            np.random.RandomState(j).shuffle(X[:, j])
            np.random.RandomState(j).shuffle(X_true[:, j])

        # Mean doesn't support columns containing NaNs, median does
        if strategy == "median":
            cols_to_keep = ~np.isnan(X_true).any(axis=0)
        else:
            cols_to_keep = ~np.isnan(X_true).all(axis=0)

        X_true = X_true[:, cols_to_keep]

        _check_statistics(X, X_true, strategy,
                          true_statistics, test_missing_values)


def test_imputation_median_special_cases():
    # Test median imputation with sparse boundary cases
    X = np.array([
        [0, np.nan, np.nan],  # odd: implicit zero
        [5, np.nan, np.nan],  # odd: explicit nonzero
        [0, 0, np.nan],    # even: average two zeros
        [-5, 0, np.nan],   # even: avg zero and neg
        [0, 5, np.nan],    # even: avg zero and pos
        [4, 5, np.nan],    # even: avg nonzeros
        [-4, -5, np.nan],  # even: avg negatives
        [-1, 2, np.nan],   # even: crossing neg and pos
    ]).transpose()

    X_imputed_median = np.array([
        [0, 0, 0],
        [5, 5, 5],
        [0, 0, 0],
        [-5, 0, -2.5],
        [0, 5, 2.5],
        [4, 5, 4.5],
        [-4, -5, -4.5],
        [-1, 2, .5],
    ]).transpose()
    statistics_median = [0, 5, 0, -2.5, 2.5, 4.5, -4.5, .5]

    _check_statistics(X, X_imputed_median, "median",
                      statistics_median, np.nan)


@pytest.mark.parametrize("strategy", ["mean", "median"])
@pytest.mark.parametrize("dtype", [None, object, str])
def test_imputation_mean_median_error_invalid_type(strategy, dtype):
    X = np.array([["a", "b", 3],
                  [4, "e", 6],
                  ["g", "h", 9]], dtype=dtype)

    with pytest.raises(ValueError, match="non-numeric data"):
        imputer = SimpleImputer(strategy=strategy)
        imputer.fit_transform(X)


@pytest.mark.parametrize("strategy", ["constant", "most_frequent"])
@pytest.mark.parametrize("dtype", [str, np.dtype('U'), np.dtype('S')])
def test_imputation_const_mostf_error_invalid_types(strategy, dtype):
    # Test imputation on non-numeric data using "most_frequent" and "constant"
    # strategy
    X = np.array([
        [np.nan, np.nan, "a", "f"],
        [np.nan, "c", np.nan, "d"],
        [np.nan, "b", "d", np.nan],
        [np.nan, "c", "d", "h"],
    ], dtype=dtype)

    err_msg = "SimpleImputer does not support data"
    with pytest.raises(ValueError, match=err_msg):
        imputer = SimpleImputer(strategy=strategy)
        imputer.fit(X).transform(X)


def test_imputation_most_frequent():
    # Test imputation using the most-frequent strategy.
    X = np.array([
        [-1, -1, 0, 5],
        [-1, 2, -1, 3],
        [-1, 1, 3, -1],
        [-1, 2, 3, 7],
    ])

    X_true = np.array([
        [2, 0, 5],
        [2, 3, 3],
        [1, 3, 3],
        [2, 3, 7],
    ])

    # scipy.stats.mode, used in SimpleImputer, doesn't return the first most
    # frequent as promised in the doc but the lowest most frequent. When this
    # test will fail after an update of scipy, SimpleImputer will need to be
    # updated to be consistent with the new (correct) behaviour
    _check_statistics(X, X_true, "most_frequent", [np.nan, 2, 3, 3], -1)


@pytest.mark.parametrize("marker", [None, np.nan, "NAN", "", 0])
def test_imputation_most_frequent_objects(marker):
    # Test imputation using the most-frequent strategy.
    X = np.array([
        [marker, marker, "a", "f"],
        [marker, "c", marker, "d"],
        [marker, "b", "d", marker],
        [marker, "c", "d", "h"],
    ], dtype=object)

    X_true = np.array([
        ["c", "a", "f"],
        ["c", "d", "d"],
        ["b", "d", "d"],
        ["c", "d", "h"],
    ], dtype=object)

    imputer = SimpleImputer(missing_values=marker,
                            strategy="most_frequent")
    X_trans = imputer.fit(X).transform(X)

    assert_array_equal(X_trans, X_true)


@pytest.mark.parametrize("dtype", [object, "category"])
def test_imputation_most_frequent_pandas(dtype):
    # Test imputation using the most frequent strategy on pandas df
    pd = pytest.importorskip("pandas")

    f = io.StringIO(u"Cat1,Cat2,Cat3,Cat4\n"
                    ",i,x,\n"
                    "a,,y,\n"
                    "a,j,,\n"
                    "b,j,x,")

    df = pd.read_csv(f, dtype=dtype)

    X_true = np.array([
        ["a", "i", "x"],
        ["a", "j", "y"],
        ["a", "j", "x"],
        ["b", "j", "x"]
    ], dtype=object)

    imputer = SimpleImputer(strategy="most_frequent")
    X_trans = imputer.fit_transform(df)

    assert_array_equal(X_trans, X_true)


@pytest.mark.parametrize("X_data, missing_value", [(1, 0), (1., np.nan)])
def test_imputation_constant_error_invalid_type(X_data, missing_value):
    # Verify that exceptions are raised on invalid fill_value type
    X = np.full((3, 5), X_data, dtype=float)
    X[0, 0] = missing_value

    with pytest.raises(ValueError, match="imputing numerical"):
        imputer = SimpleImputer(missing_values=missing_value,
                                strategy="constant",
                                fill_value="x")
        imputer.fit_transform(X)


def test_imputation_constant_integer():
    # Test imputation using the constant strategy on integers
    X = np.array([
        [-1, 2, 3, -1],
        [4, -1, 5, -1],
        [6, 7, -1, -1],
        [8, 9, 0, -1]
    ])

    X_true = np.array([
        [0, 2, 3, 0],
        [4, 0, 5, 0],
        [6, 7, 0, 0],
        [8, 9, 0, 0]
    ])

    imputer = SimpleImputer(missing_values=-1, strategy="constant",
                            fill_value=0)
    X_trans = imputer.fit_transform(X)

    assert_array_equal(X_trans, X_true)


@pytest.mark.parametrize("array_constructor", [sparse.csr_matrix, np.asarray])
def test_imputation_constant_float(array_constructor):
    # Test imputation using the constant strategy on floats
    X = np.array([
        [np.nan, 1.1, 0, np.nan],
        [1.2, np.nan, 1.3, np.nan],
        [0, 0, np.nan, np.nan],
        [1.4, 1.5, 0, np.nan]
    ])

    X_true = np.array([
        [-1, 1.1, 0, -1],
        [1.2, -1, 1.3, -1],
        [0, 0, -1, -1],
        [1.4, 1.5, 0, -1]
    ])

    X = array_constructor(X)

    X_true = array_constructor(X_true)

    imputer = SimpleImputer(strategy="constant", fill_value=-1)
    X_trans = imputer.fit_transform(X)

    assert_allclose_dense_sparse(X_trans, X_true)


@pytest.mark.parametrize("marker", [None, np.nan, "NAN", "", 0])
def test_imputation_constant_object(marker):
    # Test imputation using the constant strategy on objects
    X = np.array([
        [marker, "a", "b", marker],
        ["c", marker, "d", marker],
        ["e", "f", marker, marker],
        ["g", "h", "i", marker]
    ], dtype=object)

    X_true = np.array([
        ["missing", "a", "b", "missing"],
        ["c", "missing", "d", "missing"],
        ["e", "f", "missing", "missing"],
        ["g", "h", "i", "missing"]
    ], dtype=object)

    imputer = SimpleImputer(missing_values=marker, strategy="constant",
                            fill_value="missing")
    X_trans = imputer.fit_transform(X)

    assert_array_equal(X_trans, X_true)


@pytest.mark.parametrize("dtype", [object, "category"])
def test_imputation_constant_pandas(dtype):
    # Test imputation using the constant strategy on pandas df
    pd = pytest.importorskip("pandas")

    f = io.StringIO(u"Cat1,Cat2,Cat3,Cat4\n"
                    ",i,x,\n"
                    "a,,y,\n"
                    "a,j,,\n"
                    "b,j,x,")

    df = pd.read_csv(f, dtype=dtype)

    X_true = np.array([
        ["missing_value", "i", "x", "missing_value"],
        ["a", "missing_value", "y", "missing_value"],
        ["a", "j", "missing_value", "missing_value"],
        ["b", "j", "x", "missing_value"]
    ], dtype=object)

    imputer = SimpleImputer(strategy="constant")
    X_trans = imputer.fit_transform(df)

    assert_array_equal(X_trans, X_true)


@pytest.mark.filterwarnings('ignore: The default of the `iid`')  # 0.22
@pytest.mark.filterwarnings('ignore: You should specify a value')  # 0.22
def test_imputation_pipeline_grid_search():
    # Test imputation within a pipeline + gridsearch.
    X = sparse_random_matrix(100, 100, density=0.10)
    missing_values = X.data[0]

    pipeline = Pipeline([('imputer',
                          SimpleImputer(missing_values=missing_values)),
                         ('tree',
                          tree.DecisionTreeRegressor(random_state=0))])

    parameters = {
        'imputer__strategy': ["mean", "median", "most_frequent"]
    }

    Y = sparse_random_matrix(100, 1, density=0.10).toarray()
    gs = GridSearchCV(pipeline, parameters)
    gs.fit(X, Y)


def test_imputation_copy():
    # Test imputation with copy
    X_orig = sparse_random_matrix(5, 5, density=0.75, random_state=0)

    # copy=True, dense => copy
    X = X_orig.copy().toarray()
    imputer = SimpleImputer(missing_values=0, strategy="mean", copy=True)
    Xt = imputer.fit(X).transform(X)
    Xt[0, 0] = -1
    assert_false(np.all(X == Xt))

    # copy=True, sparse csr => copy
    X = X_orig.copy()
    imputer = SimpleImputer(missing_values=X.data[0], strategy="mean",
                            copy=True)
    Xt = imputer.fit(X).transform(X)
    Xt.data[0] = -1
    assert_false(np.all(X.data == Xt.data))

    # copy=False, dense => no copy
    X = X_orig.copy().toarray()
    imputer = SimpleImputer(missing_values=0, strategy="mean", copy=False)
    Xt = imputer.fit(X).transform(X)
    Xt[0, 0] = -1
    assert_array_almost_equal(X, Xt)

    # copy=False, sparse csc => no copy
    X = X_orig.copy().tocsc()
    imputer = SimpleImputer(missing_values=X.data[0], strategy="mean",
                            copy=False)
    Xt = imputer.fit(X).transform(X)
    Xt.data[0] = -1
    assert_array_almost_equal(X.data, Xt.data)

    # copy=False, sparse csr => copy
    X = X_orig.copy()
    imputer = SimpleImputer(missing_values=X.data[0], strategy="mean",
                            copy=False)
    Xt = imputer.fit(X).transform(X)
    Xt.data[0] = -1
    assert_false(np.all(X.data == Xt.data))

    # Note: If X is sparse and if missing_values=0, then a (dense) copy of X is
    # made, even if copy=False.


@pytest.mark.parametrize(
    "X_fit, X_trans, params, msg_err",
    [(np.array([[-1, 1], [1, 2]]), np.array([[-1, 1], [1, -1]]),
      {'features': 'missing-only', 'sparse': 'auto'},
      'have missing values in transform but have no missing values in fit'),
     (np.array([[-1, 1], [1, 2]]), np.array([[-1, 1], [1, 2]]),
      {'features': 'random', 'sparse': 'auto'},
      "'features' has to be either 'missing-only' or 'all'"),
     (np.array([[-1, 1], [1, 2]]), np.array([[-1, 1], [1, 2]]),
      {'features': 'all', 'sparse': 'random'},
      "'sparse' has to be a boolean or 'auto'")]
)
def test_missing_indicator_error(X_fit, X_trans, params, msg_err):
    indicator = MissingIndicator(missing_values=-1)
    indicator.set_params(**params)
    with pytest.raises(ValueError, match=msg_err):
        indicator.fit(X_fit).transform(X_trans)


@pytest.mark.parametrize(
    "missing_values, dtype",
    [(np.nan, np.float64),
     (0, np.int32),
     (-1, np.int32)])
@pytest.mark.parametrize(
    "arr_type",
    [np.array, sparse.csc_matrix, sparse.csr_matrix, sparse.coo_matrix,
     sparse.lil_matrix, sparse.bsr_matrix])
@pytest.mark.parametrize(
    "param_features, n_features, features_indices",
    [('missing-only', 2, np.array([0, 1])),
     ('all', 3, np.array([0, 1, 2]))])
def test_missing_indicator_new(missing_values, arr_type, dtype, param_features,
                               n_features, features_indices):
    X_fit = np.array([[missing_values, missing_values, 1],
                      [4, missing_values, 2]])
    X_trans = np.array([[missing_values, missing_values, 1],
                        [4, 12, 10]])
    X_fit_expected = np.array([[1, 1, 0], [0, 1, 0]])
    X_trans_expected = np.array([[1, 1, 0], [0, 0, 0]])

    # convert the input to the right array format and right dtype
    X_fit = arr_type(X_fit).astype(dtype)
    X_trans = arr_type(X_trans).astype(dtype)
    X_fit_expected = X_fit_expected.astype(dtype)
    X_trans_expected = X_trans_expected.astype(dtype)

    indicator = MissingIndicator(missing_values=missing_values,
                                 features=param_features,
                                 sparse=False)
    X_fit_mask = indicator.fit_transform(X_fit)
    X_trans_mask = indicator.transform(X_trans)

    assert X_fit_mask.shape[1] == n_features
    assert X_trans_mask.shape[1] == n_features

    assert_array_equal(indicator.features_, features_indices)
    assert_allclose(X_fit_mask, X_fit_expected[:, features_indices])
    assert_allclose(X_trans_mask, X_trans_expected[:, features_indices])

    assert X_fit_mask.dtype == bool
    assert X_trans_mask.dtype == bool
    assert isinstance(X_fit_mask, np.ndarray)
    assert isinstance(X_trans_mask, np.ndarray)

    indicator.set_params(sparse=True)
    X_fit_mask_sparse = indicator.fit_transform(X_fit)
    X_trans_mask_sparse = indicator.transform(X_trans)

    assert X_fit_mask_sparse.dtype == bool
    assert X_trans_mask_sparse.dtype == bool
    assert X_fit_mask_sparse.format == 'csc'
    assert X_trans_mask_sparse.format == 'csc'
    assert_allclose(X_fit_mask_sparse.toarray(), X_fit_mask)
    assert_allclose(X_trans_mask_sparse.toarray(), X_trans_mask)


@pytest.mark.parametrize("param_sparse", [True, False, 'auto'])
@pytest.mark.parametrize("missing_values", [np.nan, 0])
@pytest.mark.parametrize(
    "arr_type",
    [np.array, sparse.csc_matrix, sparse.csr_matrix, sparse.coo_matrix])
def test_missing_indicator_sparse_param(arr_type, missing_values,
                                        param_sparse):
    # check the format of the output with different sparse parameter
    X_fit = np.array([[missing_values, missing_values, 1],
                      [4, missing_values, 2]])
    X_trans = np.array([[missing_values, missing_values, 1],
                        [4, 12, 10]])
    X_fit = arr_type(X_fit).astype(np.float64)
    X_trans = arr_type(X_trans).astype(np.float64)

    indicator = MissingIndicator(missing_values=missing_values,
                                 sparse=param_sparse)
    X_fit_mask = indicator.fit_transform(X_fit)
    X_trans_mask = indicator.transform(X_trans)

    if param_sparse is True:
        assert X_fit_mask.format == 'csc'
        assert X_trans_mask.format == 'csc'
    elif param_sparse == 'auto' and missing_values == 0:
        assert isinstance(X_fit_mask, np.ndarray)
        assert isinstance(X_trans_mask, np.ndarray)
    elif param_sparse is False:
        assert isinstance(X_fit_mask, np.ndarray)
        assert isinstance(X_trans_mask, np.ndarray)
    else:
        if sparse.issparse(X_fit):
            assert X_fit_mask.format == 'csc'
            assert X_trans_mask.format == 'csc'
        else:
            assert isinstance(X_fit_mask, np.ndarray)
            assert isinstance(X_trans_mask, np.ndarray)


@pytest.mark.parametrize("imputer_constructor",
                         [SimpleImputer])
@pytest.mark.parametrize(
    "imputer_missing_values, missing_value, err_msg",
    [("NaN", np.nan, "Input contains NaN"),
     ("-1", -1, "types are expected to be both numerical.")])
def test_inconsistent_dtype_X_missing_values(imputer_constructor,
                                             imputer_missing_values,
                                             missing_value,
                                             err_msg):
    # regression test for issue #11390. Comparison between incoherent dtype
    # for X and missing_values was not raising a proper error.
    rng = np.random.RandomState(42)
    X = rng.randn(10, 10)
    X[0, 0] = missing_value

    imputer = imputer_constructor(missing_values=imputer_missing_values)

    with pytest.raises(ValueError, match=err_msg):
        imputer.fit_transform(X)