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  #
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  #
  # Unless required by applicable law or agreed to in writing, software
  # distributed under the License is distributed on an "AS IS" BASIS,
  # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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  # limitations under the License.
  #
  
  import operator
  
  from pyspark import since, keyword_only
  from pyspark.ml import Estimator, Model
  from pyspark.ml.param.shared import *
  from pyspark.ml.regression import DecisionTreeModel, DecisionTreeRegressionModel, \
      RandomForestParams, TreeEnsembleModel, TreeEnsembleParams
  from pyspark.ml.util import *
  from pyspark.ml.wrapper import JavaEstimator, JavaModel, JavaParams
  from pyspark.ml.wrapper import JavaWrapper
  from pyspark.ml.common import inherit_doc
  from pyspark.sql import DataFrame
  from pyspark.sql.functions import udf, when
  from pyspark.sql.types import ArrayType, DoubleType
  from pyspark.storagelevel import StorageLevel
  
  __all__ = ['LogisticRegression', 'LogisticRegressionModel',
             'LogisticRegressionSummary', 'LogisticRegressionTrainingSummary',
             'BinaryLogisticRegressionSummary', 'BinaryLogisticRegressionTrainingSummary',
             'DecisionTreeClassifier', 'DecisionTreeClassificationModel',
             'GBTClassifier', 'GBTClassificationModel',
             'RandomForestClassifier', 'RandomForestClassificationModel',
             'NaiveBayes', 'NaiveBayesModel',
             'MultilayerPerceptronClassifier', 'MultilayerPerceptronClassificationModel',
             'OneVsRest', 'OneVsRestModel']
  
  
  @inherit_doc
  class JavaClassificationModel(JavaPredictionModel):
      """
      (Private) Java Model produced by a ``Classifier``.
      Classes are indexed {0, 1, ..., numClasses - 1}.
      To be mixed in with class:`pyspark.ml.JavaModel`
      """
  
      @property
      @since("2.1.0")
      def numClasses(self):
          """
          Number of classes (values which the label can take).
          """
          return self._call_java("numClasses")
  
  
  @inherit_doc
  class LogisticRegression(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol, HasMaxIter,
                           HasRegParam, HasTol, HasProbabilityCol, HasRawPredictionCol,
                           HasElasticNetParam, HasFitIntercept, HasStandardization, HasThresholds,
                           HasWeightCol, HasAggregationDepth, JavaMLWritable, JavaMLReadable):
      """
      Logistic regression.
      This class supports multinomial logistic (softmax) and binomial logistic regression.
  
      >>> from pyspark.sql import Row
      >>> from pyspark.ml.linalg import Vectors
      >>> bdf = sc.parallelize([
      ...     Row(label=1.0, weight=2.0, features=Vectors.dense(1.0)),
      ...     Row(label=0.0, weight=2.0, features=Vectors.sparse(1, [], []))]).toDF()
      >>> blor = LogisticRegression(maxIter=5, regParam=0.01, weightCol="weight")
      >>> blorModel = blor.fit(bdf)
      >>> blorModel.coefficients
      DenseVector([5.4...])
      >>> blorModel.intercept
      -2.63...
      >>> mdf = sc.parallelize([
      ...     Row(label=1.0, weight=2.0, features=Vectors.dense(1.0)),
      ...     Row(label=0.0, weight=2.0, features=Vectors.sparse(1, [], [])),
      ...     Row(label=2.0, weight=2.0, features=Vectors.dense(3.0))]).toDF()
      >>> mlor = LogisticRegression(maxIter=5, regParam=0.01, weightCol="weight",
      ...     family="multinomial")
      >>> mlorModel = mlor.fit(mdf)
      >>> mlorModel.coefficientMatrix
      DenseMatrix(3, 1, [-2.3..., 0.2..., 2.1...], 1)
      >>> mlorModel.interceptVector
      DenseVector([2.1..., 0.6..., -2.8...])
      >>> test0 = sc.parallelize([Row(features=Vectors.dense(-1.0))]).toDF()
      >>> result = blorModel.transform(test0).head()
      >>> result.prediction
      0.0
      >>> result.probability
      DenseVector([0.99..., 0.00...])
      >>> result.rawPrediction
      DenseVector([8.12..., -8.12...])
      >>> test1 = sc.parallelize([Row(features=Vectors.sparse(1, [0], [1.0]))]).toDF()
      >>> blorModel.transform(test1).head().prediction
      1.0
      >>> blor.setParams("vector")
      Traceback (most recent call last):
          ...
      TypeError: Method setParams forces keyword arguments.
      >>> lr_path = temp_path + "/lr"
      >>> blor.save(lr_path)
      >>> lr2 = LogisticRegression.load(lr_path)
      >>> lr2.getMaxIter()
      5
      >>> model_path = temp_path + "/lr_model"
      >>> blorModel.save(model_path)
      >>> model2 = LogisticRegressionModel.load(model_path)
      >>> blorModel.coefficients[0] == model2.coefficients[0]
      True
      >>> blorModel.intercept == model2.intercept
      True
  
      .. versionadded:: 1.3.0
      """
  
      threshold = Param(Params._dummy(), "threshold",
                        "Threshold in binary classification prediction, in range [0, 1]." +
                        " If threshold and thresholds are both set, they must match." +
                        "e.g. if threshold is p, then thresholds must be equal to [1-p, p].",
                        typeConverter=TypeConverters.toFloat)
  
      family = Param(Params._dummy(), "family",
                     "The name of family which is a description of the label distribution to " +
                     "be used in the model. Supported options: auto, binomial, multinomial",
                     typeConverter=TypeConverters.toString)
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   maxIter=100, regParam=0.0, elasticNetParam=0.0, tol=1e-6, fitIntercept=True,
                   threshold=0.5, thresholds=None, probabilityCol="probability",
                   rawPredictionCol="rawPrediction", standardization=True, weightCol=None,
                   aggregationDepth=2, family="auto"):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   maxIter=100, regParam=0.0, elasticNetParam=0.0, tol=1e-6, fitIntercept=True, \
                   threshold=0.5, thresholds=None, probabilityCol="probability", \
                   rawPredictionCol="rawPrediction", standardization=True, weightCol=None, \
                   aggregationDepth=2, family="auto")
          If the threshold and thresholds Params are both set, they must be equivalent.
          """
          super(LogisticRegression, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.LogisticRegression", self.uid)
          self._setDefault(maxIter=100, regParam=0.0, tol=1E-6, threshold=0.5, family="auto")
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
          self._checkThresholdConsistency()
  
      @keyword_only
      @since("1.3.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    maxIter=100, regParam=0.0, elasticNetParam=0.0, tol=1e-6, fitIntercept=True,
                    threshold=0.5, thresholds=None, probabilityCol="probability",
                    rawPredictionCol="rawPrediction", standardization=True, weightCol=None,
                    aggregationDepth=2, family="auto"):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                    maxIter=100, regParam=0.0, elasticNetParam=0.0, tol=1e-6, fitIntercept=True, \
                    threshold=0.5, thresholds=None, probabilityCol="probability", \
                    rawPredictionCol="rawPrediction", standardization=True, weightCol=None, \
                    aggregationDepth=2, family="auto")
          Sets params for logistic regression.
          If the threshold and thresholds Params are both set, they must be equivalent.
          """
          kwargs = self._input_kwargs
          self._set(**kwargs)
          self._checkThresholdConsistency()
          return self
  
      def _create_model(self, java_model):
          return LogisticRegressionModel(java_model)
  
      @since("1.4.0")
      def setThreshold(self, value):
          """
          Sets the value of :py:attr:`threshold`.
          Clears value of :py:attr:`thresholds` if it has been set.
          """
          self._set(threshold=value)
          self._clear(self.thresholds)
          return self
  
      @since("1.4.0")
      def getThreshold(self):
          """
          Get threshold for binary classification.
  
          If :py:attr:`thresholds` is set with length 2 (i.e., binary classification),
          this returns the equivalent threshold:
          :math:`\\frac{1}{1 + \\frac{thresholds(0)}{thresholds(1)}}`.
          Otherwise, returns :py:attr:`threshold` if set or its default value if unset.
          """
          self._checkThresholdConsistency()
          if self.isSet(self.thresholds):
              ts = self.getOrDefault(self.thresholds)
              if len(ts) != 2:
                  raise ValueError("Logistic Regression getThreshold only applies to" +
                                   " binary classification, but thresholds has length != 2." +
                                   "  thresholds: " + ",".join(ts))
              return 1.0/(1.0 + ts[0]/ts[1])
          else:
              return self.getOrDefault(self.threshold)
  
      @since("1.5.0")
      def setThresholds(self, value):
          """
          Sets the value of :py:attr:`thresholds`.
          Clears value of :py:attr:`threshold` if it has been set.
          """
          self._set(thresholds=value)
          self._clear(self.threshold)
          return self
  
      @since("1.5.0")
      def getThresholds(self):
          """
          If :py:attr:`thresholds` is set, return its value.
          Otherwise, if :py:attr:`threshold` is set, return the equivalent thresholds for binary
          classification: (1-threshold, threshold).
          If neither are set, throw an error.
          """
          self._checkThresholdConsistency()
          if not self.isSet(self.thresholds) and self.isSet(self.threshold):
              t = self.getOrDefault(self.threshold)
              return [1.0-t, t]
          else:
              return self.getOrDefault(self.thresholds)
  
      def _checkThresholdConsistency(self):
          if self.isSet(self.threshold) and self.isSet(self.thresholds):
              ts = self.getOrDefault(self.thresholds)
              if len(ts) != 2:
                  raise ValueError("Logistic Regression getThreshold only applies to" +
                                   " binary classification, but thresholds has length != 2." +
                                   " thresholds: {0}".format(str(ts)))
              t = 1.0/(1.0 + ts[0]/ts[1])
              t2 = self.getOrDefault(self.threshold)
              if abs(t2 - t) >= 1E-5:
                  raise ValueError("Logistic Regression getThreshold found inconsistent values for" +
                                   " threshold (%g) and thresholds (equivalent to %g)" % (t2, t))
  
      @since("2.1.0")
      def setFamily(self, value):
          """
          Sets the value of :py:attr:`family`.
          """
          return self._set(family=value)
  
      @since("2.1.0")
      def getFamily(self):
          """
          Gets the value of :py:attr:`family` or its default value.
          """
          return self.getOrDefault(self.family)
  
  
  class LogisticRegressionModel(JavaModel, JavaClassificationModel, JavaMLWritable, JavaMLReadable):
      """
      Model fitted by LogisticRegression.
  
      .. versionadded:: 1.3.0
      """
  
      @property
      @since("2.0.0")
      def coefficients(self):
          """
          Model coefficients of binomial logistic regression.
          An exception is thrown in the case of multinomial logistic regression.
          """
          return self._call_java("coefficients")
  
      @property
      @since("1.4.0")
      def intercept(self):
          """
          Model intercept of binomial logistic regression.
          An exception is thrown in the case of multinomial logistic regression.
          """
          return self._call_java("intercept")
  
      @property
      @since("2.1.0")
      def coefficientMatrix(self):
          """
          Model coefficients.
          """
          return self._call_java("coefficientMatrix")
  
      @property
      @since("2.1.0")
      def interceptVector(self):
          """
          Model intercept.
          """
          return self._call_java("interceptVector")
  
      @property
      @since("2.0.0")
      def summary(self):
          """
          Gets summary (e.g. accuracy/precision/recall, objective history, total iterations) of model
          trained on the training set. An exception is thrown if `trainingSummary is None`.
          """
          if self.hasSummary:
              java_blrt_summary = self._call_java("summary")
              # Note: Once multiclass is added, update this to return correct summary
              return BinaryLogisticRegressionTrainingSummary(java_blrt_summary)
          else:
              raise RuntimeError("No training summary available for this %s" %
                                 self.__class__.__name__)
  
      @property
      @since("2.0.0")
      def hasSummary(self):
          """
          Indicates whether a training summary exists for this model
          instance.
          """
          return self._call_java("hasSummary")
  
      @since("2.0.0")
      def evaluate(self, dataset):
          """
          Evaluates the model on a test dataset.
  
          :param dataset:
            Test dataset to evaluate model on, where dataset is an
            instance of :py:class:`pyspark.sql.DataFrame`
          """
          if not isinstance(dataset, DataFrame):
              raise ValueError("dataset must be a DataFrame but got %s." % type(dataset))
          java_blr_summary = self._call_java("evaluate", dataset)
          return BinaryLogisticRegressionSummary(java_blr_summary)
  
  
  class LogisticRegressionSummary(JavaWrapper):
      """
      .. note:: Experimental
  
      Abstraction for Logistic Regression Results for a given model.
  
      .. versionadded:: 2.0.0
      """
  
      @property
      @since("2.0.0")
      def predictions(self):
          """
          Dataframe outputted by the model's `transform` method.
          """
          return self._call_java("predictions")
  
      @property
      @since("2.0.0")
      def probabilityCol(self):
          """
          Field in "predictions" which gives the probability
          of each class as a vector.
          """
          return self._call_java("probabilityCol")
  
      @property
      @since("2.0.0")
      def labelCol(self):
          """
          Field in "predictions" which gives the true label of each
          instance.
          """
          return self._call_java("labelCol")
  
      @property
      @since("2.0.0")
      def featuresCol(self):
          """
          Field in "predictions" which gives the features of each instance
          as a vector.
          """
          return self._call_java("featuresCol")
  
  
  @inherit_doc
  class LogisticRegressionTrainingSummary(LogisticRegressionSummary):
      """
      .. note:: Experimental
  
      Abstraction for multinomial Logistic Regression Training results.
      Currently, the training summary ignores the training weights except
      for the objective trace.
  
      .. versionadded:: 2.0.0
      """
  
      @property
      @since("2.0.0")
      def objectiveHistory(self):
          """
          Objective function (scaled loss + regularization) at each
          iteration.
          """
          return self._call_java("objectiveHistory")
  
      @property
      @since("2.0.0")
      def totalIterations(self):
          """
          Number of training iterations until termination.
          """
          return self._call_java("totalIterations")
  
  
  @inherit_doc
  class BinaryLogisticRegressionSummary(LogisticRegressionSummary):
      """
      .. note:: Experimental
  
      Binary Logistic regression results for a given model.
  
      .. versionadded:: 2.0.0
      """
  
      @property
      @since("2.0.0")
      def roc(self):
          """
          Returns the receiver operating characteristic (ROC) curve,
          which is a Dataframe having two fields (FPR, TPR) with
          (0.0, 0.0) prepended and (1.0, 1.0) appended to it.
  
          .. seealso:: `Wikipedia reference \
          <http://en.wikipedia.org/wiki/Receiver_operating_characteristic>`_
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("roc")
  
      @property
      @since("2.0.0")
      def areaUnderROC(self):
          """
          Computes the area under the receiver operating characteristic
          (ROC) curve.
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("areaUnderROC")
  
      @property
      @since("2.0.0")
      def pr(self):
          """
          Returns the precision-recall curve, which is a Dataframe
          containing two fields recall, precision with (0.0, 1.0) prepended
          to it.
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("pr")
  
      @property
      @since("2.0.0")
      def fMeasureByThreshold(self):
          """
          Returns a dataframe with two fields (threshold, F-Measure) curve
          with beta = 1.0.
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("fMeasureByThreshold")
  
      @property
      @since("2.0.0")
      def precisionByThreshold(self):
          """
          Returns a dataframe with two fields (threshold, precision) curve.
          Every possible probability obtained in transforming the dataset
          are used as thresholds used in calculating the precision.
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("precisionByThreshold")
  
      @property
      @since("2.0.0")
      def recallByThreshold(self):
          """
          Returns a dataframe with two fields (threshold, recall) curve.
          Every possible probability obtained in transforming the dataset
          are used as thresholds used in calculating the recall.
  
          .. note:: This ignores instance weights (setting all to 1.0) from
              `LogisticRegression.weightCol`. This will change in later Spark
              versions.
          """
          return self._call_java("recallByThreshold")
  
  
  @inherit_doc
  class BinaryLogisticRegressionTrainingSummary(BinaryLogisticRegressionSummary,
                                                LogisticRegressionTrainingSummary):
      """
      .. note:: Experimental
  
      Binary Logistic regression training results for a given model.
  
      .. versionadded:: 2.0.0
      """
      pass
  
  
  class TreeClassifierParams(object):
      """
      Private class to track supported impurity measures.
  
      .. versionadded:: 1.4.0
      """
      supportedImpurities = ["entropy", "gini"]
  
      impurity = Param(Params._dummy(), "impurity",
                       "Criterion used for information gain calculation (case-insensitive). " +
                       "Supported options: " +
                       ", ".join(supportedImpurities), typeConverter=TypeConverters.toString)
  
      def __init__(self):
          super(TreeClassifierParams, self).__init__()
  
      @since("1.6.0")
      def setImpurity(self, value):
          """
          Sets the value of :py:attr:`impurity`.
          """
          return self._set(impurity=value)
  
      @since("1.6.0")
      def getImpurity(self):
          """
          Gets the value of impurity or its default value.
          """
          return self.getOrDefault(self.impurity)
  
  
  class GBTParams(TreeEnsembleParams):
      """
      Private class to track supported GBT params.
  
      .. versionadded:: 1.4.0
      """
      supportedLossTypes = ["logistic"]
  
  
  @inherit_doc
  class DecisionTreeClassifier(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol,
                               HasProbabilityCol, HasRawPredictionCol, DecisionTreeParams,
                               TreeClassifierParams, HasCheckpointInterval, HasSeed, JavaMLWritable,
                               JavaMLReadable):
      """
      `Decision tree <http://en.wikipedia.org/wiki/Decision_tree_learning>`_
      learning algorithm for classification.
      It supports both binary and multiclass labels, as well as both continuous and categorical
      features.
  
      >>> from pyspark.ml.linalg import Vectors
      >>> from pyspark.ml.feature import StringIndexer
      >>> df = spark.createDataFrame([
      ...     (1.0, Vectors.dense(1.0)),
      ...     (0.0, Vectors.sparse(1, [], []))], ["label", "features"])
      >>> stringIndexer = StringIndexer(inputCol="label", outputCol="indexed")
      >>> si_model = stringIndexer.fit(df)
      >>> td = si_model.transform(df)
      >>> dt = DecisionTreeClassifier(maxDepth=2, labelCol="indexed")
      >>> model = dt.fit(td)
      >>> model.numNodes
      3
      >>> model.depth
      1
      >>> model.featureImportances
      SparseVector(1, {0: 1.0})
      >>> model.numFeatures
      1
      >>> model.numClasses
      2
      >>> print(model.toDebugString)
      DecisionTreeClassificationModel (uid=...) of depth 1 with 3 nodes...
      >>> test0 = spark.createDataFrame([(Vectors.dense(-1.0),)], ["features"])
      >>> result = model.transform(test0).head()
      >>> result.prediction
      0.0
      >>> result.probability
      DenseVector([1.0, 0.0])
      >>> result.rawPrediction
      DenseVector([1.0, 0.0])
      >>> test1 = spark.createDataFrame([(Vectors.sparse(1, [0], [1.0]),)], ["features"])
      >>> model.transform(test1).head().prediction
      1.0
  
      >>> dtc_path = temp_path + "/dtc"
      >>> dt.save(dtc_path)
      >>> dt2 = DecisionTreeClassifier.load(dtc_path)
      >>> dt2.getMaxDepth()
      2
      >>> model_path = temp_path + "/dtc_model"
      >>> model.save(model_path)
      >>> model2 = DecisionTreeClassificationModel.load(model_path)
      >>> model.featureImportances == model2.featureImportances
      True
  
      .. versionadded:: 1.4.0
      """
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   probabilityCol="probability", rawPredictionCol="rawPrediction",
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, impurity="gini",
                   seed=None):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   probabilityCol="probability", rawPredictionCol="rawPrediction", \
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, impurity="gini", \
                   seed=None)
          """
          super(DecisionTreeClassifier, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.DecisionTreeClassifier", self.uid)
          self._setDefault(maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                           maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10,
                           impurity="gini")
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
  
      @keyword_only
      @since("1.4.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    probabilityCol="probability", rawPredictionCol="rawPrediction",
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10,
                    impurity="gini", seed=None):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                    probabilityCol="probability", rawPredictionCol="rawPrediction", \
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, impurity="gini", \
                    seed=None)
          Sets params for the DecisionTreeClassifier.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _create_model(self, java_model):
          return DecisionTreeClassificationModel(java_model)
  
  
  @inherit_doc
  class DecisionTreeClassificationModel(DecisionTreeModel, JavaClassificationModel, JavaMLWritable,
                                        JavaMLReadable):
      """
      Model fitted by DecisionTreeClassifier.
  
      .. versionadded:: 1.4.0
      """
  
      @property
      @since("2.0.0")
      def featureImportances(self):
          """
          Estimate of the importance of each feature.
  
          This generalizes the idea of "Gini" importance to other losses,
          following the explanation of Gini importance from "Random Forests" documentation
          by Leo Breiman and Adele Cutler, and following the implementation from scikit-learn.
  
          This feature importance is calculated as follows:
            - importance(feature j) = sum (over nodes which split on feature j) of the gain,
              where gain is scaled by the number of instances passing through node
            - Normalize importances for tree to sum to 1.
  
          .. note:: Feature importance for single decision trees can have high variance due to
              correlated predictor variables. Consider using a :py:class:`RandomForestClassifier`
              to determine feature importance instead.
          """
          return self._call_java("featureImportances")
  
  
  @inherit_doc
  class RandomForestClassifier(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol, HasSeed,
                               HasRawPredictionCol, HasProbabilityCol,
                               RandomForestParams, TreeClassifierParams, HasCheckpointInterval,
                               JavaMLWritable, JavaMLReadable):
      """
      `Random Forest <http://en.wikipedia.org/wiki/Random_forest>`_
      learning algorithm for classification.
      It supports both binary and multiclass labels, as well as both continuous and categorical
      features.
  
      >>> import numpy
      >>> from numpy import allclose
      >>> from pyspark.ml.linalg import Vectors
      >>> from pyspark.ml.feature import StringIndexer
      >>> df = spark.createDataFrame([
      ...     (1.0, Vectors.dense(1.0)),
      ...     (0.0, Vectors.sparse(1, [], []))], ["label", "features"])
      >>> stringIndexer = StringIndexer(inputCol="label", outputCol="indexed")
      >>> si_model = stringIndexer.fit(df)
      >>> td = si_model.transform(df)
      >>> rf = RandomForestClassifier(numTrees=3, maxDepth=2, labelCol="indexed", seed=42)
      >>> model = rf.fit(td)
      >>> model.featureImportances
      SparseVector(1, {0: 1.0})
      >>> allclose(model.treeWeights, [1.0, 1.0, 1.0])
      True
      >>> test0 = spark.createDataFrame([(Vectors.dense(-1.0),)], ["features"])
      >>> result = model.transform(test0).head()
      >>> result.prediction
      0.0
      >>> numpy.argmax(result.probability)
      0
      >>> numpy.argmax(result.rawPrediction)
      0
      >>> test1 = spark.createDataFrame([(Vectors.sparse(1, [0], [1.0]),)], ["features"])
      >>> model.transform(test1).head().prediction
      1.0
      >>> model.trees
      [DecisionTreeClassificationModel (uid=...) of depth..., DecisionTreeClassificationModel...]
      >>> rfc_path = temp_path + "/rfc"
      >>> rf.save(rfc_path)
      >>> rf2 = RandomForestClassifier.load(rfc_path)
      >>> rf2.getNumTrees()
      3
      >>> model_path = temp_path + "/rfc_model"
      >>> model.save(model_path)
      >>> model2 = RandomForestClassificationModel.load(model_path)
      >>> model.featureImportances == model2.featureImportances
      True
  
      .. versionadded:: 1.4.0
      """
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   probabilityCol="probability", rawPredictionCol="rawPrediction",
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, impurity="gini",
                   numTrees=20, featureSubsetStrategy="auto", seed=None, subsamplingRate=1.0):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   probabilityCol="probability", rawPredictionCol="rawPrediction", \
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, impurity="gini", \
                   numTrees=20, featureSubsetStrategy="auto", seed=None, subsamplingRate=1.0)
          """
          super(RandomForestClassifier, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.RandomForestClassifier", self.uid)
          self._setDefault(maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                           maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10,
                           impurity="gini", numTrees=20, featureSubsetStrategy="auto",
                           subsamplingRate=1.0)
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
  
      @keyword_only
      @since("1.4.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    probabilityCol="probability", rawPredictionCol="rawPrediction",
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, seed=None,
                    impurity="gini", numTrees=20, featureSubsetStrategy="auto", subsamplingRate=1.0):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   probabilityCol="probability", rawPredictionCol="rawPrediction", \
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, seed=None, \
                    impurity="gini", numTrees=20, featureSubsetStrategy="auto", subsamplingRate=1.0)
          Sets params for linear classification.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _create_model(self, java_model):
          return RandomForestClassificationModel(java_model)
  
  
  class RandomForestClassificationModel(TreeEnsembleModel, JavaClassificationModel, JavaMLWritable,
                                        JavaMLReadable):
      """
      Model fitted by RandomForestClassifier.
  
      .. versionadded:: 1.4.0
      """
  
      @property
      @since("2.0.0")
      def featureImportances(self):
          """
          Estimate of the importance of each feature.
  
          Each feature's importance is the average of its importance across all trees in the ensemble
          The importance vector is normalized to sum to 1. This method is suggested by Hastie et al.
          (Hastie, Tibshirani, Friedman. "The Elements of Statistical Learning, 2nd Edition." 2001.)
          and follows the implementation from scikit-learn.
  
          .. seealso:: :py:attr:`DecisionTreeClassificationModel.featureImportances`
          """
          return self._call_java("featureImportances")
  
      @property
      @since("2.0.0")
      def trees(self):
          """Trees in this ensemble. Warning: These have null parent Estimators."""
          return [DecisionTreeClassificationModel(m) for m in list(self._call_java("trees"))]
  
  
  @inherit_doc
  class GBTClassifier(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol, HasMaxIter,
                      GBTParams, HasCheckpointInterval, HasStepSize, HasSeed, JavaMLWritable,
                      JavaMLReadable):
      """
      `Gradient-Boosted Trees (GBTs) <http://en.wikipedia.org/wiki/Gradient_boosting>`_
      learning algorithm for classification.
      It supports binary labels, as well as both continuous and categorical features.
  
      The implementation is based upon: J.H. Friedman. "Stochastic Gradient Boosting." 1999.
  
      Notes on Gradient Boosting vs. TreeBoost:
      - This implementation is for Stochastic Gradient Boosting, not for TreeBoost.
      - Both algorithms learn tree ensembles by minimizing loss functions.
      - TreeBoost (Friedman, 1999) additionally modifies the outputs at tree leaf nodes
      based on the loss function, whereas the original gradient boosting method does not.
      - We expect to implement TreeBoost in the future:
      `SPARK-4240 <https://issues.apache.org/jira/browse/SPARK-4240>`_
  
      .. note:: Multiclass labels are not currently supported.
  
      >>> from numpy import allclose
      >>> from pyspark.ml.linalg import Vectors
      >>> from pyspark.ml.feature import StringIndexer
      >>> df = spark.createDataFrame([
      ...     (1.0, Vectors.dense(1.0)),
      ...     (0.0, Vectors.sparse(1, [], []))], ["label", "features"])
      >>> stringIndexer = StringIndexer(inputCol="label", outputCol="indexed")
      >>> si_model = stringIndexer.fit(df)
      >>> td = si_model.transform(df)
      >>> gbt = GBTClassifier(maxIter=5, maxDepth=2, labelCol="indexed", seed=42)
      >>> model = gbt.fit(td)
      >>> model.featureImportances
      SparseVector(1, {0: 1.0})
      >>> allclose(model.treeWeights, [1.0, 0.1, 0.1, 0.1, 0.1])
      True
      >>> test0 = spark.createDataFrame([(Vectors.dense(-1.0),)], ["features"])
      >>> model.transform(test0).head().prediction
      0.0
      >>> test1 = spark.createDataFrame([(Vectors.sparse(1, [0], [1.0]),)], ["features"])
      >>> model.transform(test1).head().prediction
      1.0
      >>> model.totalNumNodes
      15
      >>> print(model.toDebugString)
      GBTClassificationModel (uid=...)...with 5 trees...
      >>> gbtc_path = temp_path + "gbtc"
      >>> gbt.save(gbtc_path)
      >>> gbt2 = GBTClassifier.load(gbtc_path)
      >>> gbt2.getMaxDepth()
      2
      >>> model_path = temp_path + "gbtc_model"
      >>> model.save(model_path)
      >>> model2 = GBTClassificationModel.load(model_path)
      >>> model.featureImportances == model2.featureImportances
      True
      >>> model.treeWeights == model2.treeWeights
      True
      >>> model.trees
      [DecisionTreeRegressionModel (uid=...) of depth..., DecisionTreeRegressionModel...]
  
      .. versionadded:: 1.4.0
      """
  
      lossType = Param(Params._dummy(), "lossType",
                       "Loss function which GBT tries to minimize (case-insensitive). " +
                       "Supported options: " + ", ".join(GBTParams.supportedLossTypes),
                       typeConverter=TypeConverters.toString)
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, lossType="logistic",
                   maxIter=20, stepSize=0.1, seed=None, subsamplingRate=1.0):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                   maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, \
                   lossType="logistic", maxIter=20, stepSize=0.1, seed=None, subsamplingRate=1.0)
          """
          super(GBTClassifier, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.GBTClassifier", self.uid)
          self._setDefault(maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                           maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10,
                           lossType="logistic", maxIter=20, stepSize=0.1, subsamplingRate=1.0)
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
  
      @keyword_only
      @since("1.4.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0,
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10,
                    lossType="logistic", maxIter=20, stepSize=0.1, seed=None, subsamplingRate=1.0):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                    maxDepth=5, maxBins=32, minInstancesPerNode=1, minInfoGain=0.0, \
                    maxMemoryInMB=256, cacheNodeIds=False, checkpointInterval=10, \
                    lossType="logistic", maxIter=20, stepSize=0.1, seed=None, subsamplingRate=1.0)
          Sets params for Gradient Boosted Tree Classification.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _create_model(self, java_model):
          return GBTClassificationModel(java_model)
  
      @since("1.4.0")
      def setLossType(self, value):
          """
          Sets the value of :py:attr:`lossType`.
          """
          return self._set(lossType=value)
  
      @since("1.4.0")
      def getLossType(self):
          """
          Gets the value of lossType or its default value.
          """
          return self.getOrDefault(self.lossType)
  
  
  class GBTClassificationModel(TreeEnsembleModel, JavaPredictionModel, JavaMLWritable,
                               JavaMLReadable):
      """
      Model fitted by GBTClassifier.
  
      .. versionadded:: 1.4.0
      """
  
      @property
      @since("2.0.0")
      def featureImportances(self):
          """
          Estimate of the importance of each feature.
  
          Each feature's importance is the average of its importance across all trees in the ensemble
          The importance vector is normalized to sum to 1. This method is suggested by Hastie et al.
          (Hastie, Tibshirani, Friedman. "The Elements of Statistical Learning, 2nd Edition." 2001.)
          and follows the implementation from scikit-learn.
  
          .. seealso:: :py:attr:`DecisionTreeClassificationModel.featureImportances`
          """
          return self._call_java("featureImportances")
  
      @property
      @since("2.0.0")
      def trees(self):
          """Trees in this ensemble. Warning: These have null parent Estimators."""
          return [DecisionTreeRegressionModel(m) for m in list(self._call_java("trees"))]
  
  
  @inherit_doc
  class NaiveBayes(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol, HasProbabilityCol,
                   HasRawPredictionCol, HasThresholds, HasWeightCol, JavaMLWritable, JavaMLReadable):
      """
      Naive Bayes Classifiers.
      It supports both Multinomial and Bernoulli NB. `Multinomial NB
      <http://nlp.stanford.edu/IR-book/html/htmledition/naive-bayes-text-classification-1.html>`_
      can handle finitely supported discrete data. For example, by converting documents into
      TF-IDF vectors, it can be used for document classification. By making every vector a
      binary (0/1) data, it can also be used as `Bernoulli NB
      <http://nlp.stanford.edu/IR-book/html/htmledition/the-bernoulli-model-1.html>`_.
      The input feature values must be nonnegative.
  
      >>> from pyspark.sql import Row
      >>> from pyspark.ml.linalg import Vectors
      >>> df = spark.createDataFrame([
      ...     Row(label=0.0, weight=0.1, features=Vectors.dense([0.0, 0.0])),
      ...     Row(label=0.0, weight=0.5, features=Vectors.dense([0.0, 1.0])),
      ...     Row(label=1.0, weight=1.0, features=Vectors.dense([1.0, 0.0]))])
      >>> nb = NaiveBayes(smoothing=1.0, modelType="multinomial", weightCol="weight")
      >>> model = nb.fit(df)
      >>> model.pi
      DenseVector([-0.81..., -0.58...])
      >>> model.theta
      DenseMatrix(2, 2, [-0.91..., -0.51..., -0.40..., -1.09...], 1)
      >>> test0 = sc.parallelize([Row(features=Vectors.dense([1.0, 0.0]))]).toDF()
      >>> result = model.transform(test0).head()
      >>> result.prediction
      1.0
      >>> result.probability
      DenseVector([0.32..., 0.67...])
      >>> result.rawPrediction
      DenseVector([-1.72..., -0.99...])
      >>> test1 = sc.parallelize([Row(features=Vectors.sparse(2, [0], [1.0]))]).toDF()
      >>> model.transform(test1).head().prediction
      1.0
      >>> nb_path = temp_path + "/nb"
      >>> nb.save(nb_path)
      >>> nb2 = NaiveBayes.load(nb_path)
      >>> nb2.getSmoothing()
      1.0
      >>> model_path = temp_path + "/nb_model"
      >>> model.save(model_path)
      >>> model2 = NaiveBayesModel.load(model_path)
      >>> model.pi == model2.pi
      True
      >>> model.theta == model2.theta
      True
      >>> nb = nb.setThresholds([0.01, 10.00])
      >>> model3 = nb.fit(df)
      >>> result = model3.transform(test0).head()
      >>> result.prediction
      0.0
  
      .. versionadded:: 1.5.0
      """
  
      smoothing = Param(Params._dummy(), "smoothing", "The smoothing parameter, should be >= 0, " +
                        "default is 1.0", typeConverter=TypeConverters.toFloat)
      modelType = Param(Params._dummy(), "modelType", "The model type which is a string " +
                        "(case-sensitive). Supported options: multinomial (default) and bernoulli.",
                        typeConverter=TypeConverters.toString)
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   probabilityCol="probability", rawPredictionCol="rawPrediction", smoothing=1.0,
                   modelType="multinomial", thresholds=None, weightCol=None):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   probabilityCol="probability", rawPredictionCol="rawPrediction", smoothing=1.0, \
                   modelType="multinomial", thresholds=None, weightCol=None)
          """
          super(NaiveBayes, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.NaiveBayes", self.uid)
          self._setDefault(smoothing=1.0, modelType="multinomial")
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
  
      @keyword_only
      @since("1.5.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    probabilityCol="probability", rawPredictionCol="rawPrediction", smoothing=1.0,
                    modelType="multinomial", thresholds=None, weightCol=None):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                    probabilityCol="probability", rawPredictionCol="rawPrediction", smoothing=1.0, \
                    modelType="multinomial", thresholds=None, weightCol=None)
          Sets params for Naive Bayes.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _create_model(self, java_model):
          return NaiveBayesModel(java_model)
  
      @since("1.5.0")
      def setSmoothing(self, value):
          """
          Sets the value of :py:attr:`smoothing`.
          """
          return self._set(smoothing=value)
  
      @since("1.5.0")
      def getSmoothing(self):
          """
          Gets the value of smoothing or its default value.
          """
          return self.getOrDefault(self.smoothing)
  
      @since("1.5.0")
      def setModelType(self, value):
          """
          Sets the value of :py:attr:`modelType`.
          """
          return self._set(modelType=value)
  
      @since("1.5.0")
      def getModelType(self):
          """
          Gets the value of modelType or its default value.
          """
          return self.getOrDefault(self.modelType)
  
  
  class NaiveBayesModel(JavaModel, JavaClassificationModel, JavaMLWritable, JavaMLReadable):
      """
      Model fitted by NaiveBayes.
  
      .. versionadded:: 1.5.0
      """
  
      @property
      @since("2.0.0")
      def pi(self):
          """
          log of class priors.
          """
          return self._call_java("pi")
  
      @property
      @since("2.0.0")
      def theta(self):
          """
          log of class conditional probabilities.
          """
          return self._call_java("theta")
  
  
  @inherit_doc
  class MultilayerPerceptronClassifier(JavaEstimator, HasFeaturesCol, HasLabelCol, HasPredictionCol,
                                       HasMaxIter, HasTol, HasSeed, HasStepSize, JavaMLWritable,
                                       JavaMLReadable):
      """
      Classifier trainer based on the Multilayer Perceptron.
      Each layer has sigmoid activation function, output layer has softmax.
      Number of inputs has to be equal to the size of feature vectors.
      Number of outputs has to be equal to the total number of labels.
  
      >>> from pyspark.ml.linalg import Vectors
      >>> df = spark.createDataFrame([
      ...     (0.0, Vectors.dense([0.0, 0.0])),
      ...     (1.0, Vectors.dense([0.0, 1.0])),
      ...     (1.0, Vectors.dense([1.0, 0.0])),
      ...     (0.0, Vectors.dense([1.0, 1.0]))], ["label", "features"])
      >>> mlp = MultilayerPerceptronClassifier(maxIter=100, layers=[2, 2, 2], blockSize=1, seed=123)
      >>> model = mlp.fit(df)
      >>> model.layers
      [2, 2, 2]
      >>> model.weights.size
      12
      >>> testDF = spark.createDataFrame([
      ...     (Vectors.dense([1.0, 0.0]),),
      ...     (Vectors.dense([0.0, 0.0]),)], ["features"])
      >>> model.transform(testDF).show()
      +---------+----------+
      | features|prediction|
      +---------+----------+
      |[1.0,0.0]|       1.0|
      |[0.0,0.0]|       0.0|
      +---------+----------+
      ...
      >>> mlp_path = temp_path + "/mlp"
      >>> mlp.save(mlp_path)
      >>> mlp2 = MultilayerPerceptronClassifier.load(mlp_path)
      >>> mlp2.getBlockSize()
      1
      >>> model_path = temp_path + "/mlp_model"
      >>> model.save(model_path)
      >>> model2 = MultilayerPerceptronClassificationModel.load(model_path)
      >>> model.layers == model2.layers
      True
      >>> model.weights == model2.weights
      True
      >>> mlp2 = mlp2.setInitialWeights(list(range(0, 12)))
      >>> model3 = mlp2.fit(df)
      >>> model3.weights != model2.weights
      True
      >>> model3.layers == model.layers
      True
  
      .. versionadded:: 1.6.0
      """
  
      layers = Param(Params._dummy(), "layers", "Sizes of layers from input layer to output layer " +
                     "E.g., Array(780, 100, 10) means 780 inputs, one hidden layer with 100 " +
                     "neurons and output layer of 10 neurons.",
                     typeConverter=TypeConverters.toListInt)
      blockSize = Param(Params._dummy(), "blockSize", "Block size for stacking input data in " +
                        "matrices. Data is stacked within partitions. If block size is more than " +
                        "remaining data in a partition then it is adjusted to the size of this " +
                        "data. Recommended size is between 10 and 1000, default is 128.",
                        typeConverter=TypeConverters.toInt)
      solver = Param(Params._dummy(), "solver", "The solver algorithm for optimization. Supported " +
                     "options: l-bfgs, gd.", typeConverter=TypeConverters.toString)
      initialWeights = Param(Params._dummy(), "initialWeights", "The initial weights of the model.",
                             typeConverter=TypeConverters.toVector)
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   maxIter=100, tol=1e-6, seed=None, layers=None, blockSize=128, stepSize=0.03,
                   solver="l-bfgs", initialWeights=None):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   maxIter=100, tol=1e-6, seed=None, layers=None, blockSize=128, stepSize=0.03, \
                   solver="l-bfgs", initialWeights=None)
          """
          super(MultilayerPerceptronClassifier, self).__init__()
          self._java_obj = self._new_java_obj(
              "org.apache.spark.ml.classification.MultilayerPerceptronClassifier", self.uid)
          self._setDefault(maxIter=100, tol=1E-4, blockSize=128, stepSize=0.03, solver="l-bfgs")
          kwargs = self._input_kwargs
          self.setParams(**kwargs)
  
      @keyword_only
      @since("1.6.0")
      def setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                    maxIter=100, tol=1e-6, seed=None, layers=None, blockSize=128, stepSize=0.03,
                    solver="l-bfgs", initialWeights=None):
          """
          setParams(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                    maxIter=100, tol=1e-6, seed=None, layers=None, blockSize=128, stepSize=0.03, \
                    solver="l-bfgs", initialWeights=None)
          Sets params for MultilayerPerceptronClassifier.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _create_model(self, java_model):
          return MultilayerPerceptronClassificationModel(java_model)
  
      @since("1.6.0")
      def setLayers(self, value):
          """
          Sets the value of :py:attr:`layers`.
          """
          return self._set(layers=value)
  
      @since("1.6.0")
      def getLayers(self):
          """
          Gets the value of layers or its default value.
          """
          return self.getOrDefault(self.layers)
  
      @since("1.6.0")
      def setBlockSize(self, value):
          """
          Sets the value of :py:attr:`blockSize`.
          """
          return self._set(blockSize=value)
  
      @since("1.6.0")
      def getBlockSize(self):
          """
          Gets the value of blockSize or its default value.
          """
          return self.getOrDefault(self.blockSize)
  
      @since("2.0.0")
      def setStepSize(self, value):
          """
          Sets the value of :py:attr:`stepSize`.
          """
          return self._set(stepSize=value)
  
      @since("2.0.0")
      def getStepSize(self):
          """
          Gets the value of stepSize or its default value.
          """
          return self.getOrDefault(self.stepSize)
  
      @since("2.0.0")
      def setSolver(self, value):
          """
          Sets the value of :py:attr:`solver`.
          """
          return self._set(solver=value)
  
      @since("2.0.0")
      def getSolver(self):
          """
          Gets the value of solver or its default value.
          """
          return self.getOrDefault(self.solver)
  
      @since("2.0.0")
      def setInitialWeights(self, value):
          """
          Sets the value of :py:attr:`initialWeights`.
          """
          return self._set(initialWeights=value)
  
      @since("2.0.0")
      def getInitialWeights(self):
          """
          Gets the value of initialWeights or its default value.
          """
          return self.getOrDefault(self.initialWeights)
  
  
  class MultilayerPerceptronClassificationModel(JavaModel, JavaPredictionModel, JavaMLWritable,
                                                JavaMLReadable):
      """
      Model fitted by MultilayerPerceptronClassifier.
  
      .. versionadded:: 1.6.0
      """
  
      @property
      @since("1.6.0")
      def layers(self):
          """
          array of layer sizes including input and output layers.
          """
          return self._call_java("javaLayers")
  
      @property
      @since("2.0.0")
      def weights(self):
          """
          the weights of layers.
          """
          return self._call_java("weights")
  
  
  class OneVsRestParams(HasFeaturesCol, HasLabelCol, HasWeightCol, HasPredictionCol):
      """
      Parameters for OneVsRest and OneVsRestModel.
      """
  
      classifier = Param(Params._dummy(), "classifier", "base binary classifier")
  
      @since("2.0.0")
      def setClassifier(self, value):
          """
          Sets the value of :py:attr:`classifier`.
  
          .. note:: Only LogisticRegression and NaiveBayes are supported now.
          """
          return self._set(classifier=value)
  
      @since("2.0.0")
      def getClassifier(self):
          """
          Gets the value of classifier or its default value.
          """
          return self.getOrDefault(self.classifier)
  
  
  @inherit_doc
  class OneVsRest(Estimator, OneVsRestParams, MLReadable, MLWritable):
      """
      .. note:: Experimental
  
      Reduction of Multiclass Classification to Binary Classification.
      Performs reduction using one against all strategy.
      For a multiclass classification with k classes, train k models (one per class).
      Each example is scored against all k models and the model with highest score
      is picked to label the example.
  
      >>> from pyspark.sql import Row
      >>> from pyspark.ml.linalg import Vectors
      >>> df = sc.parallelize([
      ...     Row(label=0.0, features=Vectors.dense(1.0, 0.8)),
      ...     Row(label=1.0, features=Vectors.sparse(2, [], [])),
      ...     Row(label=2.0, features=Vectors.dense(0.5, 0.5))]).toDF()
      >>> lr = LogisticRegression(maxIter=5, regParam=0.01)
      >>> ovr = OneVsRest(classifier=lr)
      >>> model = ovr.fit(df)
      >>> [x.coefficients for x in model.models]
      [DenseVector([4.9791, 2.426]), DenseVector([-4.1198, -5.9326]), DenseVector([-3.314, 5.2423])]
      >>> [x.intercept for x in model.models]
      [-5.06544..., 2.30341..., -1.29133...]
      >>> test0 = sc.parallelize([Row(features=Vectors.dense(-1.0, 0.0))]).toDF()
      >>> model.transform(test0).head().prediction
      1.0
      >>> test1 = sc.parallelize([Row(features=Vectors.sparse(2, [0], [1.0]))]).toDF()
      >>> model.transform(test1).head().prediction
      0.0
      >>> test2 = sc.parallelize([Row(features=Vectors.dense(0.5, 0.4))]).toDF()
      >>> model.transform(test2).head().prediction
      2.0
  
      .. versionadded:: 2.0.0
      """
  
      @keyword_only
      def __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction",
                   classifier=None, weightCol=None):
          """
          __init__(self, featuresCol="features", labelCol="label", predictionCol="prediction", \
                   classifier=None, weightCol=None)
          """
          super(OneVsRest, self).__init__()
          kwargs = self._input_kwargs
          self._set(**kwargs)
  
      @keyword_only
      @since("2.0.0")
      def setParams(self, featuresCol=None, labelCol=None, predictionCol=None,
                    classifier=None, weightCol=None):
          """
          setParams(self, featuresCol=None, labelCol=None, predictionCol=None, \
                    classifier=None, weightCol=None):
          Sets params for OneVsRest.
          """
          kwargs = self._input_kwargs
          return self._set(**kwargs)
  
      def _fit(self, dataset):
          labelCol = self.getLabelCol()
          featuresCol = self.getFeaturesCol()
          predictionCol = self.getPredictionCol()
          classifier = self.getClassifier()
          assert isinstance(classifier, HasRawPredictionCol),\
              "Classifier %s doesn't extend from HasRawPredictionCol." % type(classifier)
  
          numClasses = int(dataset.agg({labelCol: "max"}).head()["max("+labelCol+")"]) + 1
  
          weightCol = None
          if (self.isDefined(self.weightCol) and self.getWeightCol()):
              if isinstance(classifier, HasWeightCol):
                  weightCol = self.getWeightCol()
              else:
                  warnings.warn("weightCol is ignored, "
                                "as it is not supported by {0} now.".format(classifier))
  
          if weightCol:
              multiclassLabeled = dataset.select(labelCol, featuresCol, weightCol)
          else:
              multiclassLabeled = dataset.select(labelCol, featuresCol)
  
          # persist if underlying dataset is not persistent.
          handlePersistence = \
              dataset.rdd.getStorageLevel() == StorageLevel(False, False, False, False)
          if handlePersistence:
              multiclassLabeled.persist(StorageLevel.MEMORY_AND_DISK)
  
          def trainSingleClass(index):
              binaryLabelCol = "mc2b$" + str(index)
              trainingDataset = multiclassLabeled.withColumn(
                  binaryLabelCol,
                  when(multiclassLabeled[labelCol] == float(index), 1.0).otherwise(0.0))
              paramMap = dict([(classifier.labelCol, binaryLabelCol),
                              (classifier.featuresCol, featuresCol),
                              (classifier.predictionCol, predictionCol)])
              if weightCol:
                  paramMap[classifier.weightCol] = weightCol
              return classifier.fit(trainingDataset, paramMap)
  
          # TODO: Parallel training for all classes.
          models = [trainSingleClass(i) for i in range(numClasses)]
  
          if handlePersistence:
              multiclassLabeled.unpersist()
  
          return self._copyValues(OneVsRestModel(models=models))
  
      @since("2.0.0")
      def copy(self, extra=None):
          """
          Creates a copy of this instance with a randomly generated uid
          and some extra params. This creates a deep copy of the embedded paramMap,
          and copies the embedded and extra parameters over.
  
          :param extra: Extra parameters to copy to the new instance
          :return: Copy of this instance
          """
          if extra is None:
              extra = dict()
          newOvr = Params.copy(self, extra)
          if self.isSet(self.classifier):
              newOvr.setClassifier(self.getClassifier().copy(extra))
          return newOvr
  
      @since("2.0.0")
      def write(self):
          """Returns an MLWriter instance for this ML instance."""
          return JavaMLWriter(self)
  
      @since("2.0.0")
      def save(self, path):
          """Save this ML instance to the given path, a shortcut of `write().save(path)`."""
          self.write().save(path)
  
      @classmethod
      @since("2.0.0")
      def read(cls):
          """Returns an MLReader instance for this class."""
          return JavaMLReader(cls)
  
      @classmethod
      def _from_java(cls, java_stage):
          """
          Given a Java OneVsRest, create and return a Python wrapper of it.
          Used for ML persistence.
          """
          featuresCol = java_stage.getFeaturesCol()
          labelCol = java_stage.getLabelCol()
          predictionCol = java_stage.getPredictionCol()
          classifier = JavaParams._from_java(java_stage.getClassifier())
          py_stage = cls(featuresCol=featuresCol, labelCol=labelCol, predictionCol=predictionCol,
                         classifier=classifier)
          py_stage._resetUid(java_stage.uid())
          return py_stage
  
      def _to_java(self):
          """
          Transfer this instance to a Java OneVsRest. Used for ML persistence.
  
          :return: Java object equivalent to this instance.
          """
          _java_obj = JavaParams._new_java_obj("org.apache.spark.ml.classification.OneVsRest",
                                               self.uid)
          _java_obj.setClassifier(self.getClassifier()._to_java())
          _java_obj.setFeaturesCol(self.getFeaturesCol())
          _java_obj.setLabelCol(self.getLabelCol())
          _java_obj.setPredictionCol(self.getPredictionCol())
          return _java_obj
  
  
  class OneVsRestModel(Model, OneVsRestParams, MLReadable, MLWritable):
      """
      .. note:: Experimental
  
      Model fitted by OneVsRest.
      This stores the models resulting from training k binary classifiers: one for each class.
      Each example is scored against all k models, and the model with the highest score
      is picked to label the example.
  
      .. versionadded:: 2.0.0
      """
  
      def __init__(self, models):
          super(OneVsRestModel, self).__init__()
          self.models = models
  
      def _transform(self, dataset):
          # determine the input columns: these need to be passed through
          origCols = dataset.columns
  
          # add an accumulator column to store predictions of all the models
          accColName = "mbc$acc" + str(uuid.uuid4())
          initUDF = udf(lambda _: [], ArrayType(DoubleType()))
          newDataset = dataset.withColumn(accColName, initUDF(dataset[origCols[0]]))
  
          # persist if underlying dataset is not persistent.
          handlePersistence = \
              dataset.rdd.getStorageLevel() == StorageLevel(False, False, False, False)
          if handlePersistence:
              newDataset.persist(StorageLevel.MEMORY_AND_DISK)
  
          # update the accumulator column with the result of prediction of models
          aggregatedDataset = newDataset
          for index, model in enumerate(self.models):
              rawPredictionCol = model._call_java("getRawPredictionCol")
              columns = origCols + [rawPredictionCol, accColName]
  
              # add temporary column to store intermediate scores and update
              tmpColName = "mbc$tmp" + str(uuid.uuid4())
              updateUDF = udf(
                  lambda predictions, prediction: predictions + [prediction.tolist()[1]],
                  ArrayType(DoubleType()))
              transformedDataset = model.transform(aggregatedDataset).select(*columns)
              updatedDataset = transformedDataset.withColumn(
                  tmpColName,
                  updateUDF(transformedDataset[accColName], transformedDataset[rawPredictionCol]))
              newColumns = origCols + [tmpColName]
  
              # switch out the intermediate column with the accumulator column
              aggregatedDataset = updatedDataset\
                  .select(*newColumns).withColumnRenamed(tmpColName, accColName)
  
          if handlePersistence:
              newDataset.unpersist()
  
          # output the index of the classifier with highest confidence as prediction
          labelUDF = udf(
              lambda predictions: float(max(enumerate(predictions), key=operator.itemgetter(1))[0]),
              DoubleType())
  
          # output label and label metadata as prediction
          return aggregatedDataset.withColumn(
              self.getPredictionCol(), labelUDF(aggregatedDataset[accColName])).drop(accColName)
  
      @since("2.0.0")
      def copy(self, extra=None):
          """
          Creates a copy of this instance with a randomly generated uid
          and some extra params. This creates a deep copy of the embedded paramMap,
          and copies the embedded and extra parameters over.
  
          :param extra: Extra parameters to copy to the new instance
          :return: Copy of this instance
          """
          if extra is None:
              extra = dict()
          newModel = Params.copy(self, extra)
          newModel.models = [model.copy(extra) for model in self.models]
          return newModel
  
      @since("2.0.0")
      def write(self):
          """Returns an MLWriter instance for this ML instance."""
          return JavaMLWriter(self)
  
      @since("2.0.0")
      def save(self, path):
          """Save this ML instance to the given path, a shortcut of `write().save(path)`."""
          self.write().save(path)
  
      @classmethod
      @since("2.0.0")
      def read(cls):
          """Returns an MLReader instance for this class."""
          return JavaMLReader(cls)
  
      @classmethod
      def _from_java(cls, java_stage):
          """
          Given a Java OneVsRestModel, create and return a Python wrapper of it.
          Used for ML persistence.
          """
          featuresCol = java_stage.getFeaturesCol()
          labelCol = java_stage.getLabelCol()
          predictionCol = java_stage.getPredictionCol()
          classifier = JavaParams._from_java(java_stage.getClassifier())
          models = [JavaParams._from_java(model) for model in java_stage.models()]
          py_stage = cls(models=models).setPredictionCol(predictionCol).setLabelCol(labelCol)\
              .setFeaturesCol(featuresCol).setClassifier(classifier)
          py_stage._resetUid(java_stage.uid())
          return py_stage
  
      def _to_java(self):
          """
          Transfer this instance to a Java OneVsRestModel. Used for ML persistence.
  
          :return: Java object equivalent to this instance.
          """
          java_models = [model._to_java() for model in self.models]
          _java_obj = JavaParams._new_java_obj("org.apache.spark.ml.classification.OneVsRestModel",
                                               self.uid, java_models)
          _java_obj.set("classifier", self.getClassifier()._to_java())
          _java_obj.set("featuresCol", self.getFeaturesCol())
          _java_obj.set("labelCol", self.getLabelCol())
          _java_obj.set("predictionCol", self.getPredictionCol())
          return _java_obj
  
  
  if __name__ == "__main__":
      import doctest
      import pyspark.ml.classification
      from pyspark.sql import SparkSession
      globs = pyspark.ml.classification.__dict__.copy()
      # The small batch size here ensures that we see multiple batches,
      # even in these small test examples:
      spark = SparkSession.builder\
          .master("local[2]")\
          .appName("ml.classification tests")\
          .getOrCreate()
      sc = spark.sparkContext
      globs['sc'] = sc
      globs['spark'] = spark
      import tempfile
      temp_path = tempfile.mkdtemp()
      globs['temp_path'] = temp_path
      try:
          (failure_count, test_count) = doctest.testmod(globs=globs, optionflags=doctest.ELLIPSIS)
          spark.stop()
      finally:
          from shutil import rmtree
          try:
              rmtree(temp_path)
          except OSError:
              pass
      if failure_count:
          exit(-1)
  