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|
| from numbers import Integral |
| import numpy as np |
|
|
| from ._base import _BaseImputer |
| from ..utils.validation import FLOAT_DTYPES |
| from ..metrics import pairwise_distances_chunked |
| from ..metrics.pairwise import _NAN_METRICS |
| from ..neighbors._base import _get_weights |
| from ..utils import is_scalar_nan |
| from ..utils._mask import _get_mask |
| from ..utils.validation import check_is_fitted |
| from ..utils.validation import _check_feature_names_in |
| from ..utils._param_validation import Hidden, Interval, StrOptions |
|
|
|
|
| class KNNImputer(_BaseImputer): |
| """Imputation for completing missing values using k-Nearest Neighbors. |
| |
| Each sample's missing values are imputed using the mean value from |
| `n_neighbors` nearest neighbors found in the training set. Two samples are |
| close if the features that neither is missing are close. |
| |
| Read more in the :ref:`User Guide <knnimpute>`. |
| |
| .. versionadded:: 0.22 |
| |
| Parameters |
| ---------- |
| missing_values : int, float, str, np.nan or None, default=np.nan |
| The placeholder for the missing values. All occurrences of |
| `missing_values` will be imputed. For pandas' dataframes with |
| nullable integer dtypes with missing values, `missing_values` |
| should be set to np.nan, since `pd.NA` will be converted to np.nan. |
| |
| n_neighbors : int, default=5 |
| Number of neighboring samples to use for imputation. |
| |
| weights : {'uniform', 'distance'} or callable, default='uniform' |
| Weight function used in prediction. Possible values: |
| |
| - 'uniform' : uniform weights. All points in each neighborhood are |
| weighted equally. |
| - 'distance' : weight points by the inverse of their distance. |
| in this case, closer neighbors of a query point will have a |
| greater influence than neighbors which are further away. |
| - callable : a user-defined function which accepts an |
| array of distances, and returns an array of the same shape |
| containing the weights. |
| |
| metric : {'nan_euclidean'} or callable, default='nan_euclidean' |
| Distance metric for searching neighbors. Possible values: |
| |
| - 'nan_euclidean' |
| - callable : a user-defined function which conforms to the definition |
| of ``_pairwise_callable(X, Y, metric, **kwds)``. The function |
| accepts two arrays, X and Y, and a `missing_values` keyword in |
| `kwds` and returns a scalar distance value. |
| |
| copy : bool, default=True |
| If True, a copy of X will be created. If False, imputation will |
| be done in-place whenever possible. |
| |
| add_indicator : bool, default=False |
| If True, a :class:`MissingIndicator` transform will stack onto the |
| output of the imputer's transform. This allows a predictive estimator |
| to account for missingness despite imputation. If a feature has no |
| missing values at fit/train time, the feature won't appear on the |
| missing indicator even if there are missing values at transform/test |
| time. |
| |
| keep_empty_features : bool, default=False |
| If True, features that consist exclusively of missing values when |
| `fit` is called are returned in results when `transform` is called. |
| The imputed value is always `0`. |
| |
| .. versionadded:: 1.2 |
| |
| Attributes |
| ---------- |
| indicator_ : :class:`~sklearn.impute.MissingIndicator` |
| Indicator used to add binary indicators for missing values. |
| ``None`` if add_indicator is False. |
| |
| n_features_in_ : int |
| Number of features seen during :term:`fit`. |
| |
| .. versionadded:: 0.24 |
| |
| feature_names_in_ : ndarray of shape (`n_features_in_`,) |
| Names of features seen during :term:`fit`. Defined only when `X` |
| has feature names that are all strings. |
| |
| .. versionadded:: 1.0 |
| |
| See Also |
| -------- |
| SimpleImputer : Univariate imputer for completing missing values |
| with simple strategies. |
| IterativeImputer : Multivariate imputer that estimates values to impute for |
| each feature with missing values from all the others. |
| |
| References |
| ---------- |
| * Olga Troyanskaya, Michael Cantor, Gavin Sherlock, Pat Brown, Trevor |
| Hastie, Robert Tibshirani, David Botstein and Russ B. Altman, Missing |
| value estimation methods for DNA microarrays, BIOINFORMATICS Vol. 17 |
| no. 6, 2001 Pages 520-525. |
| |
| Examples |
| -------- |
| >>> import numpy as np |
| >>> from sklearn.impute import KNNImputer |
| >>> X = [[1, 2, np.nan], [3, 4, 3], [np.nan, 6, 5], [8, 8, 7]] |
| >>> imputer = KNNImputer(n_neighbors=2) |
| >>> imputer.fit_transform(X) |
| array([[1. , 2. , 4. ], |
| [3. , 4. , 3. ], |
| [5.5, 6. , 5. ], |
| [8. , 8. , 7. ]]) |
| """ |
|
|
| _parameter_constraints: dict = { |
| **_BaseImputer._parameter_constraints, |
| "n_neighbors": [Interval(Integral, 1, None, closed="left")], |
| "weights": [StrOptions({"uniform", "distance"}), callable, Hidden(None)], |
| "metric": [StrOptions(set(_NAN_METRICS)), callable], |
| "copy": ["boolean"], |
| } |
|
|
| def __init__( |
| self, |
| *, |
| missing_values=np.nan, |
| n_neighbors=5, |
| weights="uniform", |
| metric="nan_euclidean", |
| copy=True, |
| add_indicator=False, |
| keep_empty_features=False, |
| ): |
| super().__init__( |
| missing_values=missing_values, |
| add_indicator=add_indicator, |
| keep_empty_features=keep_empty_features, |
| ) |
| self.n_neighbors = n_neighbors |
| self.weights = weights |
| self.metric = metric |
| self.copy = copy |
|
|
| def _calc_impute(self, dist_pot_donors, n_neighbors, fit_X_col, mask_fit_X_col): |
| """Helper function to impute a single column. |
| |
| Parameters |
| ---------- |
| dist_pot_donors : ndarray of shape (n_receivers, n_potential_donors) |
| Distance matrix between the receivers and potential donors from |
| training set. There must be at least one non-nan distance between |
| a receiver and a potential donor. |
| |
| n_neighbors : int |
| Number of neighbors to consider. |
| |
| fit_X_col : ndarray of shape (n_potential_donors,) |
| Column of potential donors from training set. |
| |
| mask_fit_X_col : ndarray of shape (n_potential_donors,) |
| Missing mask for fit_X_col. |
| |
| Returns |
| ------- |
| imputed_values: ndarray of shape (n_receivers,) |
| Imputed values for receiver. |
| """ |
| |
| donors_idx = np.argpartition(dist_pot_donors, n_neighbors - 1, axis=1)[ |
| :, :n_neighbors |
| ] |
|
|
| |
| donors_dist = dist_pot_donors[ |
| np.arange(donors_idx.shape[0])[:, None], donors_idx |
| ] |
|
|
| weight_matrix = _get_weights(donors_dist, self.weights) |
|
|
| |
| if weight_matrix is not None: |
| weight_matrix[np.isnan(weight_matrix)] = 0.0 |
|
|
| |
| donors = fit_X_col.take(donors_idx) |
| donors_mask = mask_fit_X_col.take(donors_idx) |
| donors = np.ma.array(donors, mask=donors_mask) |
|
|
| return np.ma.average(donors, axis=1, weights=weight_matrix).data |
|
|
| def fit(self, X, y=None): |
| """Fit the imputer on X. |
| |
| Parameters |
| ---------- |
| X : array-like shape of (n_samples, n_features) |
| Input data, where `n_samples` is the number of samples and |
| `n_features` is the number of features. |
| |
| y : Ignored |
| Not used, present here for API consistency by convention. |
| |
| Returns |
| ------- |
| self : object |
| The fitted `KNNImputer` class instance. |
| """ |
| self._validate_params() |
| |
| if not is_scalar_nan(self.missing_values): |
| force_all_finite = True |
| else: |
| force_all_finite = "allow-nan" |
|
|
| X = self._validate_data( |
| X, |
| accept_sparse=False, |
| dtype=FLOAT_DTYPES, |
| force_all_finite=force_all_finite, |
| copy=self.copy, |
| ) |
|
|
| self._fit_X = X |
| self._mask_fit_X = _get_mask(self._fit_X, self.missing_values) |
| self._valid_mask = ~np.all(self._mask_fit_X, axis=0) |
|
|
| super()._fit_indicator(self._mask_fit_X) |
|
|
| return self |
|
|
| def transform(self, X): |
| """Impute all missing values in X. |
| |
| Parameters |
| ---------- |
| X : array-like of shape (n_samples, n_features) |
| The input data to complete. |
| |
| Returns |
| ------- |
| X : array-like of shape (n_samples, n_output_features) |
| The imputed dataset. `n_output_features` is the number of features |
| that is not always missing during `fit`. |
| """ |
|
|
| check_is_fitted(self) |
| if not is_scalar_nan(self.missing_values): |
| force_all_finite = True |
| else: |
| force_all_finite = "allow-nan" |
| X = self._validate_data( |
| X, |
| accept_sparse=False, |
| dtype=FLOAT_DTYPES, |
| force_all_finite=force_all_finite, |
| copy=self.copy, |
| reset=False, |
| ) |
|
|
| mask = _get_mask(X, self.missing_values) |
| mask_fit_X = self._mask_fit_X |
| valid_mask = self._valid_mask |
|
|
| X_indicator = super()._transform_indicator(mask) |
|
|
| |
| if not np.any(mask): |
| |
| if self.keep_empty_features: |
| Xc = X |
| Xc[:, ~valid_mask] = 0 |
| else: |
| Xc = X[:, valid_mask] |
| return Xc |
|
|
| row_missing_idx = np.flatnonzero(mask.any(axis=1)) |
|
|
| non_missing_fix_X = np.logical_not(mask_fit_X) |
|
|
| |
| dist_idx_map = np.zeros(X.shape[0], dtype=int) |
| dist_idx_map[row_missing_idx] = np.arange(row_missing_idx.shape[0]) |
|
|
| def process_chunk(dist_chunk, start): |
| row_missing_chunk = row_missing_idx[start : start + len(dist_chunk)] |
|
|
| |
| for col in range(X.shape[1]): |
| if not valid_mask[col]: |
| |
| continue |
|
|
| col_mask = mask[row_missing_chunk, col] |
| if not np.any(col_mask): |
| |
| continue |
|
|
| (potential_donors_idx,) = np.nonzero(non_missing_fix_X[:, col]) |
|
|
| |
| receivers_idx = row_missing_chunk[np.flatnonzero(col_mask)] |
|
|
| |
| dist_subset = dist_chunk[dist_idx_map[receivers_idx] - start][ |
| :, potential_donors_idx |
| ] |
|
|
| |
| all_nan_dist_mask = np.isnan(dist_subset).all(axis=1) |
| all_nan_receivers_idx = receivers_idx[all_nan_dist_mask] |
|
|
| if all_nan_receivers_idx.size: |
| col_mean = np.ma.array( |
| self._fit_X[:, col], mask=mask_fit_X[:, col] |
| ).mean() |
| X[all_nan_receivers_idx, col] = col_mean |
|
|
| if len(all_nan_receivers_idx) == len(receivers_idx): |
| |
| continue |
|
|
| |
| receivers_idx = receivers_idx[~all_nan_dist_mask] |
| dist_subset = dist_chunk[dist_idx_map[receivers_idx] - start][ |
| :, potential_donors_idx |
| ] |
|
|
| n_neighbors = min(self.n_neighbors, len(potential_donors_idx)) |
| value = self._calc_impute( |
| dist_subset, |
| n_neighbors, |
| self._fit_X[potential_donors_idx, col], |
| mask_fit_X[potential_donors_idx, col], |
| ) |
| X[receivers_idx, col] = value |
|
|
| |
| gen = pairwise_distances_chunked( |
| X[row_missing_idx, :], |
| self._fit_X, |
| metric=self.metric, |
| missing_values=self.missing_values, |
| force_all_finite=force_all_finite, |
| reduce_func=process_chunk, |
| ) |
| for chunk in gen: |
| |
| pass |
|
|
| if self.keep_empty_features: |
| Xc = X |
| Xc[:, ~valid_mask] = 0 |
| else: |
| Xc = X[:, valid_mask] |
|
|
| return super()._concatenate_indicator(Xc, X_indicator) |
|
|
| def get_feature_names_out(self, input_features=None): |
| """Get output feature names for transformation. |
| |
| Parameters |
| ---------- |
| input_features : array-like of str or None, default=None |
| Input features. |
| |
| - If `input_features` is `None`, then `feature_names_in_` is |
| used as feature names in. If `feature_names_in_` is not defined, |
| then the following input feature names are generated: |
| `["x0", "x1", ..., "x(n_features_in_ - 1)"]`. |
| - If `input_features` is an array-like, then `input_features` must |
| match `feature_names_in_` if `feature_names_in_` is defined. |
| |
| Returns |
| ------- |
| feature_names_out : ndarray of str objects |
| Transformed feature names. |
| """ |
| input_features = _check_feature_names_in(self, input_features) |
| names = input_features[self._valid_mask] |
| return self._concatenate_indicator_feature_names_out(names, input_features) |
|
|