lindong28 commented on code in PR #139:
URL: https://github.com/apache/flink-ml/pull/139#discussion_r947463284


##########
flink-ml-lib/src/main/java/org/apache/flink/ml/feature/kbinsdiscretizer/KBinsDiscretizer.java:
##########
@@ -0,0 +1,341 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * 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.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.flink.ml.feature.kbinsdiscretizer;
+
+import org.apache.flink.api.common.functions.MapFunction;
+import org.apache.flink.api.common.functions.MapPartitionFunction;
+import org.apache.flink.ml.api.Estimator;
+import org.apache.flink.ml.common.datastream.DataStreamUtils;
+import 
org.apache.flink.ml.feature.minmaxscaler.MinMaxScaler.MinMaxReduceFunctionOperator;
+import org.apache.flink.ml.linalg.DenseVector;
+import org.apache.flink.ml.linalg.Vector;
+import org.apache.flink.ml.param.Param;
+import org.apache.flink.ml.util.ParamUtils;
+import org.apache.flink.ml.util.ReadWriteUtils;
+import org.apache.flink.streaming.api.datastream.DataStream;
+import org.apache.flink.table.api.Table;
+import org.apache.flink.table.api.bridge.java.StreamTableEnvironment;
+import org.apache.flink.table.api.internal.TableImpl;
+import org.apache.flink.types.Row;
+import org.apache.flink.util.Collector;
+import org.apache.flink.util.Preconditions;
+
+import org.slf4j.Logger;
+import org.slf4j.LoggerFactory;
+
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+
+/**
+ * An Estimator which implements discretization (also known as quantization or 
binning), which
+ * transforms continuous features into discrete ones. The output values are in 
[0, numBins).
+ *
+ * <p>KBinsDiscretizer implements three different binning strategies, and it 
can be set by {@link
+ * KBinsDiscretizerParams#STRATEGY}. If the strategy is set as {@link 
KBinsDiscretizerParams#KMEANS}
+ * or {@link KBinsDiscretizerParams#QUANTILE}, users should further set {@link
+ * KBinsDiscretizerParams#SUB_SAMPLES} for better performance.
+ *
+ * <p>There are several corner cases for different inputs as listed below:
+ *
+ * <ul>
+ *   <li>When the input values of one column are all the same, then they 
should be mapped to the
+ *       same bin (i.e., the zero-th bin). Thus the corresponding bin edges 
are `{Double.MIN_VALUE,
+ *       Double.MAX_VALUE}`.
+ *   <li>When the number of distinct values of one column is less than the 
specified number of bins
+ *       and the {@link KBinsDiscretizerParams#STRATEGY} is set as {@link
+ *       KBinsDiscretizerParams#KMEANS}, we switch to {@link 
KBinsDiscretizerParams#UNIFORM}.
+ *   <li>When the width of one output bin is zero, i.e., the left edge equals 
to the right edge of
+ *       the bin, we remove it.
+ * </ul>
+ */
+public class KBinsDiscretizer
+        implements Estimator<KBinsDiscretizer, KBinsDiscretizerModel>,
+                KBinsDiscretizerParams<KBinsDiscretizer> {
+    private static final Logger LOG = 
LoggerFactory.getLogger(KBinsDiscretizer.class);
+    private final Map<Param<?>, Object> paramMap = new HashMap<>();
+
+    public KBinsDiscretizer() {
+        ParamUtils.initializeMapWithDefaultValues(paramMap, this);
+    }
+
+    @Override
+    public KBinsDiscretizerModel fit(Table... inputs) {
+        Preconditions.checkArgument(inputs.length == 1);
+        StreamTableEnvironment tEnv =
+                (StreamTableEnvironment) ((TableImpl) 
inputs[0]).getTableEnvironment();
+
+        String inputCol = getInputCol();
+        String strategy = getStrategy();
+        int numBins = getNumBins();
+
+        DataStream<DenseVector> inputData =
+                tEnv.toDataStream(inputs[0])
+                        .map(
+                                (MapFunction<Row, DenseVector>)
+                                        value -> ((Vector) 
value.getField(inputCol)).toDense());
+
+        DataStream<DenseVector> preprocessedData;
+        if (strategy.equals(UNIFORM)) {
+            preprocessedData =
+                    inputData
+                            .transform(
+                                    "reduceInEachPartition",
+                                    inputData.getType(),
+                                    new MinMaxReduceFunctionOperator())
+                            .transform(
+                                    "reduceInFinalPartition",
+                                    inputData.getType(),
+                                    new MinMaxReduceFunctionOperator())
+                            .setParallelism(1);
+        } else {
+            preprocessedData =
+                    DataStreamUtils.sample(
+                            inputData, getSubSamples(), 
getClass().getName().hashCode());
+        }
+
+        DataStream<KBinsDiscretizerModelData> modelData =
+                DataStreamUtils.mapPartition(
+                        preprocessedData,
+                        new MapPartitionFunction<DenseVector, 
KBinsDiscretizerModelData>() {
+                            @Override
+                            public void mapPartition(
+                                    Iterable<DenseVector> iterable,
+                                    Collector<KBinsDiscretizerModelData> 
collector) {
+                                List<DenseVector> list = new ArrayList<>();
+                                
iterable.iterator().forEachRemaining(list::add);
+
+                                if (list.size() == 0) {
+                                    throw new RuntimeException("The training 
set is empty.");
+                                }
+
+                                double[][] binEdges;
+                                switch (strategy) {
+                                    case UNIFORM:
+                                        binEdges = 
findBinEdgesWithUniformStrategy(list, numBins);
+                                        break;
+                                    case QUANTILE:
+                                        binEdges = 
findBinEdgesWithQuantileStrategy(list, numBins);
+                                        break;
+                                    case KMEANS:
+                                        binEdges = 
findBinEdgesWithKMeansStrategy(list, numBins);
+                                        break;
+                                    default:
+                                        throw new 
UnsupportedOperationException(
+                                                "Unsupported "
+                                                        + STRATEGY
+                                                        + " type: "
+                                                        + strategy
+                                                        + ".");
+                                }
+
+                                collector.collect(new 
KBinsDiscretizerModelData(binEdges));
+                            }
+                        });
+        modelData.getTransformation().setParallelism(1);
+
+        KBinsDiscretizerModel model =
+                new 
KBinsDiscretizerModel().setModelData(tEnv.fromDataStream(modelData));
+        ReadWriteUtils.updateExistingParams(model, getParamMap());
+        return model;
+    }
+
+    @Override
+    public Map<Param<?>, Object> getParamMap() {
+        return paramMap;
+    }
+
+    @Override
+    public void save(String path) throws IOException {
+        ReadWriteUtils.saveMetadata(this, path);
+    }
+
+    public static KBinsDiscretizer load(StreamTableEnvironment tEnv, String 
path)
+            throws IOException {
+        return ReadWriteUtils.loadStageParam(path);
+    }
+
+    private static double[][] findBinEdgesWithUniformStrategy(
+            List<DenseVector> input, int numBins) {
+        DenseVector minVector = input.get(0);
+        DenseVector maxVector = input.get(1);
+        int numColumns = minVector.size();
+        double[][] binEdges = new double[numColumns][];
+
+        for (int columnId = 0; columnId < numColumns; columnId++) {
+            double min = minVector.get(columnId);
+            double max = maxVector.get(columnId);
+            if (min == max) {
+                LOG.warn("Feature " + columnId + " is constant and the output 
will all be zero.");
+                binEdges[columnId] = new double[] {Double.MIN_VALUE, 
Double.MAX_VALUE};
+            } else {
+                double width = (max - min) / numBins;
+                binEdges[columnId] = new double[numBins + 1];
+                binEdges[columnId][0] = min;
+                for (int edgeId = 1; edgeId < numBins + 1; edgeId++) {
+                    binEdges[columnId][edgeId] = binEdges[columnId][edgeId - 
1] + width;
+                }
+            }
+        }
+        return binEdges;
+    }
+
+    private static double[][] findBinEdgesWithQuantileStrategy(
+            List<DenseVector> input, int numBins) {
+        int numColumns = input.get(0).size();
+        int numData = input.size();
+        double[][] binEdges = new double[numColumns][];
+        double[] features = new double[numData];
+
+        for (int columnId = 0; columnId < numColumns; columnId++) {
+            for (int i = 0; i < numData; i++) {
+                features[i] = input.get(i).get(columnId);
+            }
+            Arrays.sort(features);
+
+            if (features[0] == features[numData - 1]) {
+                LOG.warn("Feature " + columnId + " is constant and the output 
will all be zero.");
+                binEdges[columnId] = new double[] {Double.MIN_VALUE, 
Double.MAX_VALUE};
+            } else {
+                double width = 1.0 * features.length / numBins;
+                double[] tempBinEdges = new double[numBins + 1];
+
+                for (int binEdgeId = 0; binEdgeId < numBins; binEdgeId++) {
+                    tempBinEdges[binEdgeId] = features[(int) (binEdgeId * 
width)];
+                }
+                tempBinEdges[numBins] = features[numData - 1];
+
+                // Removes bins who are empty, i.e., the left edge equals to 
the right edge.
+                Set<Double> edges = new HashSet<>(numBins);
+                for (double edge : tempBinEdges) {
+                    edges.add(edge);
+                }
+
+                binEdges[columnId] = 
edges.stream().mapToDouble(Double::doubleValue).toArray();
+                Arrays.sort(binEdges[columnId]);
+            }
+        }
+        return binEdges;
+    }
+
+    private static double[][] findBinEdgesWithKMeansStrategy(List<DenseVector> 
input, int numBins) {
+        int numColumns = input.get(0).size();
+        int numData = input.size();
+        double[][] binEdges = new double[numColumns][numBins + 1];
+        double[] features = new double[numData];
+
+        double[] kMeansCentroids = new double[numBins];
+        double[] sumByCluster = new double[numBins];
+
+        for (int columnId = 0; columnId < numColumns; columnId++) {
+            for (int i = 0; i < numData; i++) {
+                features[i] = input.get(i).get(columnId);
+            }
+            Arrays.sort(features);
+
+            if (features[0] == features[numData - 1]) {
+                LOG.warn("Feature " + columnId + " is constant and the output 
will all be zero.");
+                binEdges[columnId] = new double[] {Double.MIN_VALUE, 
Double.MAX_VALUE};
+            } else {
+                // Checks whether there are more than {numBins} distinct 
feature values in each
+                // column.
+                // If the number of distinct values is less than {numBins + 
1}, then we do not need
+                // to conduct KMeans. Instead, we switch to use {@link

Review Comment:
   nits: `use` -> `using`



##########
flink-ml-lib/src/main/java/org/apache/flink/ml/feature/kbinsdiscretizer/KBinsDiscretizer.java:
##########
@@ -0,0 +1,341 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * 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.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.flink.ml.feature.kbinsdiscretizer;
+
+import org.apache.flink.api.common.functions.MapFunction;
+import org.apache.flink.api.common.functions.MapPartitionFunction;
+import org.apache.flink.ml.api.Estimator;
+import org.apache.flink.ml.common.datastream.DataStreamUtils;
+import 
org.apache.flink.ml.feature.minmaxscaler.MinMaxScaler.MinMaxReduceFunctionOperator;
+import org.apache.flink.ml.linalg.DenseVector;
+import org.apache.flink.ml.linalg.Vector;
+import org.apache.flink.ml.param.Param;
+import org.apache.flink.ml.util.ParamUtils;
+import org.apache.flink.ml.util.ReadWriteUtils;
+import org.apache.flink.streaming.api.datastream.DataStream;
+import org.apache.flink.table.api.Table;
+import org.apache.flink.table.api.bridge.java.StreamTableEnvironment;
+import org.apache.flink.table.api.internal.TableImpl;
+import org.apache.flink.types.Row;
+import org.apache.flink.util.Collector;
+import org.apache.flink.util.Preconditions;
+
+import org.slf4j.Logger;
+import org.slf4j.LoggerFactory;
+
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+
+/**
+ * An Estimator which implements discretization (also known as quantization or 
binning), which

Review Comment:
   nits: maybe rephrase this sentence like this:
   
   ```
    * An Estimator which implements discretization (also known as quantization 
or binning) to
    * transform continuous features into discrete ones. The output values are 
in [0, numBins).
   ```



##########
flink-ml-lib/src/main/java/org/apache/flink/ml/feature/kbinsdiscretizer/KBinsDiscretizer.java:
##########
@@ -0,0 +1,341 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * 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.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.flink.ml.feature.kbinsdiscretizer;
+
+import org.apache.flink.api.common.functions.MapFunction;
+import org.apache.flink.api.common.functions.MapPartitionFunction;
+import org.apache.flink.ml.api.Estimator;
+import org.apache.flink.ml.common.datastream.DataStreamUtils;
+import 
org.apache.flink.ml.feature.minmaxscaler.MinMaxScaler.MinMaxReduceFunctionOperator;
+import org.apache.flink.ml.linalg.DenseVector;
+import org.apache.flink.ml.linalg.Vector;
+import org.apache.flink.ml.param.Param;
+import org.apache.flink.ml.util.ParamUtils;
+import org.apache.flink.ml.util.ReadWriteUtils;
+import org.apache.flink.streaming.api.datastream.DataStream;
+import org.apache.flink.table.api.Table;
+import org.apache.flink.table.api.bridge.java.StreamTableEnvironment;
+import org.apache.flink.table.api.internal.TableImpl;
+import org.apache.flink.types.Row;
+import org.apache.flink.util.Collector;
+import org.apache.flink.util.Preconditions;
+
+import org.slf4j.Logger;
+import org.slf4j.LoggerFactory;
+
+import java.io.IOException;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+
+/**
+ * An Estimator which implements discretization (also known as quantization or 
binning), which
+ * transforms continuous features into discrete ones. The output values are in 
[0, numBins).
+ *
+ * <p>KBinsDiscretizer implements three different binning strategies, and it 
can be set by {@link
+ * KBinsDiscretizerParams#STRATEGY}. If the strategy is set as {@link 
KBinsDiscretizerParams#KMEANS}
+ * or {@link KBinsDiscretizerParams#QUANTILE}, users should further set {@link
+ * KBinsDiscretizerParams#SUB_SAMPLES} for better performance.
+ *
+ * <p>There are several corner cases for different inputs as listed below:
+ *
+ * <ul>
+ *   <li>When the input values of one column are all the same, then they 
should be mapped to the
+ *       same bin (i.e., the zero-th bin). Thus the corresponding bin edges 
are `{Double.MIN_VALUE,
+ *       Double.MAX_VALUE}`.
+ *   <li>When the number of distinct values of one column is less than the 
specified number of bins
+ *       and the {@link KBinsDiscretizerParams#STRATEGY} is set as {@link
+ *       KBinsDiscretizerParams#KMEANS}, we switch to {@link 
KBinsDiscretizerParams#UNIFORM}.
+ *   <li>When the width of one output bin is zero, i.e., the left edge equals 
to the right edge of
+ *       the bin, we remove it.
+ * </ul>
+ */
+public class KBinsDiscretizer
+        implements Estimator<KBinsDiscretizer, KBinsDiscretizerModel>,
+                KBinsDiscretizerParams<KBinsDiscretizer> {
+    private static final Logger LOG = 
LoggerFactory.getLogger(KBinsDiscretizer.class);
+    private final Map<Param<?>, Object> paramMap = new HashMap<>();
+
+    public KBinsDiscretizer() {
+        ParamUtils.initializeMapWithDefaultValues(paramMap, this);
+    }
+
+    @Override
+    public KBinsDiscretizerModel fit(Table... inputs) {
+        Preconditions.checkArgument(inputs.length == 1);
+        StreamTableEnvironment tEnv =
+                (StreamTableEnvironment) ((TableImpl) 
inputs[0]).getTableEnvironment();
+
+        String inputCol = getInputCol();
+        String strategy = getStrategy();
+        int numBins = getNumBins();
+
+        DataStream<DenseVector> inputData =
+                tEnv.toDataStream(inputs[0])
+                        .map(
+                                (MapFunction<Row, DenseVector>)
+                                        value -> ((Vector) 
value.getField(inputCol)).toDense());
+
+        DataStream<DenseVector> preprocessedData;
+        if (strategy.equals(UNIFORM)) {
+            preprocessedData =
+                    inputData
+                            .transform(
+                                    "reduceInEachPartition",
+                                    inputData.getType(),
+                                    new MinMaxReduceFunctionOperator())
+                            .transform(
+                                    "reduceInFinalPartition",
+                                    inputData.getType(),
+                                    new MinMaxReduceFunctionOperator())
+                            .setParallelism(1);
+        } else {
+            preprocessedData =
+                    DataStreamUtils.sample(
+                            inputData, getSubSamples(), 
getClass().getName().hashCode());
+        }
+
+        DataStream<KBinsDiscretizerModelData> modelData =
+                DataStreamUtils.mapPartition(
+                        preprocessedData,
+                        new MapPartitionFunction<DenseVector, 
KBinsDiscretizerModelData>() {
+                            @Override
+                            public void mapPartition(
+                                    Iterable<DenseVector> iterable,
+                                    Collector<KBinsDiscretizerModelData> 
collector) {
+                                List<DenseVector> list = new ArrayList<>();
+                                
iterable.iterator().forEachRemaining(list::add);
+
+                                if (list.size() == 0) {
+                                    throw new RuntimeException("The training 
set is empty.");
+                                }
+
+                                double[][] binEdges;
+                                switch (strategy) {
+                                    case UNIFORM:
+                                        binEdges = 
findBinEdgesWithUniformStrategy(list, numBins);
+                                        break;
+                                    case QUANTILE:
+                                        binEdges = 
findBinEdgesWithQuantileStrategy(list, numBins);
+                                        break;
+                                    case KMEANS:
+                                        binEdges = 
findBinEdgesWithKMeansStrategy(list, numBins);
+                                        break;
+                                    default:
+                                        throw new 
UnsupportedOperationException(
+                                                "Unsupported "
+                                                        + STRATEGY
+                                                        + " type: "
+                                                        + strategy
+                                                        + ".");
+                                }
+
+                                collector.collect(new 
KBinsDiscretizerModelData(binEdges));
+                            }
+                        });
+        modelData.getTransformation().setParallelism(1);
+
+        KBinsDiscretizerModel model =
+                new 
KBinsDiscretizerModel().setModelData(tEnv.fromDataStream(modelData));
+        ReadWriteUtils.updateExistingParams(model, getParamMap());
+        return model;
+    }
+
+    @Override
+    public Map<Param<?>, Object> getParamMap() {
+        return paramMap;
+    }
+
+    @Override
+    public void save(String path) throws IOException {
+        ReadWriteUtils.saveMetadata(this, path);
+    }
+
+    public static KBinsDiscretizer load(StreamTableEnvironment tEnv, String 
path)
+            throws IOException {
+        return ReadWriteUtils.loadStageParam(path);
+    }
+
+    private static double[][] findBinEdgesWithUniformStrategy(
+            List<DenseVector> input, int numBins) {
+        DenseVector minVector = input.get(0);
+        DenseVector maxVector = input.get(1);
+        int numColumns = minVector.size();
+        double[][] binEdges = new double[numColumns][];
+
+        for (int columnId = 0; columnId < numColumns; columnId++) {
+            double min = minVector.get(columnId);
+            double max = maxVector.get(columnId);
+            if (min == max) {
+                LOG.warn("Feature " + columnId + " is constant and the output 
will all be zero.");
+                binEdges[columnId] = new double[] {Double.MIN_VALUE, 
Double.MAX_VALUE};
+            } else {
+                double width = (max - min) / numBins;
+                binEdges[columnId] = new double[numBins + 1];
+                binEdges[columnId][0] = min;
+                for (int edgeId = 1; edgeId < numBins + 1; edgeId++) {
+                    binEdges[columnId][edgeId] = binEdges[columnId][edgeId - 
1] + width;
+                }
+            }
+        }
+        return binEdges;
+    }
+
+    private static double[][] findBinEdgesWithQuantileStrategy(
+            List<DenseVector> input, int numBins) {
+        int numColumns = input.get(0).size();
+        int numData = input.size();
+        double[][] binEdges = new double[numColumns][];
+        double[] features = new double[numData];
+
+        for (int columnId = 0; columnId < numColumns; columnId++) {
+            for (int i = 0; i < numData; i++) {
+                features[i] = input.get(i).get(columnId);
+            }
+            Arrays.sort(features);
+
+            if (features[0] == features[numData - 1]) {
+                LOG.warn("Feature " + columnId + " is constant and the output 
will all be zero.");
+                binEdges[columnId] = new double[] {Double.MIN_VALUE, 
Double.MAX_VALUE};
+            } else {
+                double width = 1.0 * features.length / numBins;
+                double[] tempBinEdges = new double[numBins + 1];
+
+                for (int binEdgeId = 0; binEdgeId < numBins; binEdgeId++) {
+                    tempBinEdges[binEdgeId] = features[(int) (binEdgeId * 
width)];
+                }
+                tempBinEdges[numBins] = features[numData - 1];
+
+                // Removes bins who are empty, i.e., the left edge equals to 
the right edge.

Review Comment:
   nits: `who` -> `that`



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