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Posted to issues@flink.apache.org by GitBox <gi...@apache.org> on 2022/10/28 05:30:38 UTC

[GitHub] [flink-ml] lindong28 commented on a diff in pull request #162: [FLINK-29593] Add QuantileSummary to help calculate approximate quantiles

lindong28 commented on code in PR #162:
URL: https://github.com/apache/flink-ml/pull/162#discussion_r1007633262


##########
flink-ml-lib/src/main/java/org/apache/flink/ml/common/util/QuantileSummary.java:
##########
@@ -0,0 +1,400 @@
+/*
+ * 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.common.util;
+
+import org.apache.flink.annotation.Internal;
+import org.apache.flink.util.Preconditions;
+
+import java.io.Serializable;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collections;
+import java.util.HashMap;
+import java.util.LinkedList;
+import java.util.List;
+import java.util.Map;
+import java.util.stream.Collectors;
+import java.util.stream.IntStream;
+
+/**
+ * Helper class to compute an approximate quantile summary. This implementation is based on the
+ * algorithm proposed in the paper: "Space-efficient Online Computation of Quantile Summaries" by
+ * Greenwald, Michael and Khanna, Sanjeev. (https://doi.org/10.1145/375663.375670)
+ */
+@Internal
+public class QuantileSummary implements Serializable {
+
+    /** The target relative error. */
+    private final double relativeError;
+
+    /**
+     * The compression threshold. After the internal buffer of statistics crosses this size, it
+     * attempts to compress the statistics together.
+     */
+    private final int compressThreshold;
+
+    /** The count of all the elements inserted to be calculated. */
+    private final long count;
+
+    /** A buffer of quantile statistics. */
+    private final List<StatsTuple> sampled;
+
+    /** The default size of head buffer. */
+    private static final int DEFAULT_HEAD_SIZE = 50000;

Review Comment:
   `private static final` variables are typically put above `private final` variables.



##########
flink-ml-lib/src/main/java/org/apache/flink/ml/common/util/QuantileSummary.java:
##########
@@ -0,0 +1,400 @@
+/*
+ * 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.common.util;
+
+import org.apache.flink.annotation.Internal;
+import org.apache.flink.util.Preconditions;
+
+import java.io.Serializable;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collections;
+import java.util.HashMap;
+import java.util.LinkedList;
+import java.util.List;
+import java.util.Map;
+import java.util.stream.Collectors;
+import java.util.stream.IntStream;
+
+/**
+ * Helper class to compute an approximate quantile summary. This implementation is based on the
+ * algorithm proposed in the paper: "Space-efficient Online Computation of Quantile Summaries" by
+ * Greenwald, Michael and Khanna, Sanjeev. (https://doi.org/10.1145/375663.375670)
+ */
+@Internal

Review Comment:
   According to the Java doc of `@Internal`, it is an "Annotation to mark methods within stable, public APIs as an internal developer API".
   
   Thus it seems unnecessary to add this annotation.
   
   @zhipeng93 Could you confirm that we should remove this annotation?



##########
flink-ml-lib/src/main/java/org/apache/flink/ml/common/util/QuantileSummary.java:
##########
@@ -0,0 +1,400 @@
+/*
+ * 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.common.util;
+
+import org.apache.flink.annotation.Internal;
+import org.apache.flink.util.Preconditions;
+
+import java.io.Serializable;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collections;
+import java.util.HashMap;
+import java.util.LinkedList;
+import java.util.List;
+import java.util.Map;
+import java.util.stream.Collectors;
+import java.util.stream.IntStream;
+
+/**
+ * Helper class to compute an approximate quantile summary. This implementation is based on the
+ * algorithm proposed in the paper: "Space-efficient Online Computation of Quantile Summaries" by
+ * Greenwald, Michael and Khanna, Sanjeev. (https://doi.org/10.1145/375663.375670)
+ */
+@Internal
+public class QuantileSummary implements Serializable {
+
+    /** The target relative error. */
+    private final double relativeError;
+
+    /**
+     * The compression threshold. After the internal buffer of statistics crosses this size, it
+     * attempts to compress the statistics together.
+     */
+    private final int compressThreshold;
+
+    /** The count of all the elements inserted to be calculated. */
+    private final long count;
+
+    /** A buffer of quantile statistics. */
+    private final List<StatsTuple> sampled;
+
+    /** The default size of head buffer. */
+    private static final int DEFAULT_HEAD_SIZE = 50000;
+
+    /** The default compression threshold. */
+    private static final int DEFAULT_COMPRESS_THRESHOLD = 10000;
+
+    /** A buffer of the latest samples seen so far. */
+    private List<Double> headBuffer = new ArrayList<>(DEFAULT_HEAD_SIZE);
+
+    /**
+     * QuantileSummary Constructor.
+     *
+     * @param relativeError The target relative error.
+     */
+    public QuantileSummary(double relativeError) {
+        this(relativeError, DEFAULT_COMPRESS_THRESHOLD);
+    }
+
+    /**
+     * QuantileSummary Constructor.
+     *
+     * @param relativeError The target relative error.
+     * @param compressThreshold the compression threshold. After the internal buffer of statistics
+     *     crosses this size, it attempts to compress the statistics together.
+     */
+    public QuantileSummary(double relativeError, int compressThreshold) {
+        this(relativeError, compressThreshold, Collections.EMPTY_LIST, 0);
+    }
+
+    /**
+     * QuantileSummary Constructor.
+     *
+     * @param relativeError The target relative error.
+     * @param compressThreshold the compression threshold.
+     * @param sampled A buffer of quantile statistics. See the G-K article for more details.
+     * @param count The count of all the elements inserted in the sampled buffer.
+     */
+    private QuantileSummary(
+            double relativeError, int compressThreshold, List<StatsTuple> sampled, long count) {
+        Preconditions.checkArgument(
+                relativeError > 0 && relativeError < 1,
+                "An appropriate relative error must lay between 0 and 1.");
+        Preconditions.checkArgument(
+                compressThreshold > 0, "An compress threshold must greater than 0.");
+        this.relativeError = relativeError;
+        this.compressThreshold = compressThreshold;
+        this.sampled = sampled;
+        this.count = count;
+    }
+
+    /**
+     * Insert a new observation to the summary.
+     *
+     * @param item The new observation to insert into the summary.
+     * @return A summary with the given observation inserted into the summary.
+     */
+    public QuantileSummary insert(Double item) {
+        headBuffer.add(item);
+        if (headBuffer.size() >= DEFAULT_HEAD_SIZE) {
+            QuantileSummary result = insertHeadBuffer();
+            if (result.sampled.size() >= compressThreshold) {
+                return result.compress();
+            } else {
+                return result;
+            }
+        } else {
+            return this;
+        }
+    }
+
+    /**
+     * Returns a new summary that compresses the summary statistics and the head buffer.
+     *
+     * <p>This implements the COMPRESS function of the GK algorithm.
+     *
+     * @return The compressed summary.
+     */
+    public QuantileSummary compress() {
+        QuantileSummary inserted = insertHeadBuffer();
+        Preconditions.checkState(inserted.headBuffer.isEmpty());
+        Preconditions.checkState(inserted.count == count + headBuffer.size());
+
+        List<StatsTuple> compressed =
+                compressInternal(inserted.sampled, 2 * relativeError * inserted.count);
+        return new QuantileSummary(relativeError, compressThreshold, compressed, inserted.count);
+    }
+
+    /**
+     * Merges two summaries together.
+     *
+     * @param other The summary to be merged.
+     * @return The merged summary.
+     */
+    public QuantileSummary merge(QuantileSummary other) {
+        Preconditions.checkState(
+                headBuffer.isEmpty(), "Current buffer needs to be compressed before merge.");
+        Preconditions.checkState(
+                other.headBuffer.isEmpty(), "Other buffer needs to be compressed before merge.");
+
+        if (other.count == 0) {
+            return shallowCopy();
+        } else if (count == 0) {
+            return other.shallowCopy();
+        } else {
+            List<StatsTuple> mergedSampled = new ArrayList<>();
+            double mergedRelativeError = Math.max(relativeError, other.relativeError);
+            long mergedCount = count + other.count;
+            long additionalSelfDelta =
+                    new Double(Math.floor(2 * other.relativeError * other.count)).longValue();
+            long additionalOtherDelta =
+                    new Double(Math.floor(2 * relativeError * count)).longValue();
+
+            int selfIdx = 0;
+            int otherIdx = 0;
+            while (selfIdx < sampled.size() && otherIdx < other.sampled.size()) {
+                StatsTuple selfSample = sampled.get(selfIdx);
+                StatsTuple otherSample = other.sampled.get(otherIdx);
+                StatsTuple nextSample;
+                long additionalDelta = 0;
+                if (selfSample.value < otherSample.value) {
+                    nextSample = selfSample;
+                    if (otherIdx > 0) {
+                        additionalDelta = additionalSelfDelta;
+                    }
+                    selfIdx++;
+                } else {
+                    nextSample = otherSample;
+                    if (selfIdx > 0) {
+                        additionalDelta = additionalOtherDelta;
+                    }
+                    otherIdx++;
+                }
+                nextSample = nextSample.shallowCopy();
+                nextSample.delta = nextSample.delta + additionalDelta;
+                mergedSampled.add(nextSample);
+            }
+            IntStream.range(selfIdx, sampled.size())
+                    .forEach(i -> mergedSampled.add(sampled.get(i)));
+            IntStream.range(otherIdx, other.sampled.size())
+                    .forEach(i -> mergedSampled.add(other.sampled.get(i)));
+
+            List<StatsTuple> comp =
+                    compressInternal(mergedSampled, 2 * mergedRelativeError * mergedCount);
+            return new QuantileSummary(mergedRelativeError, compressThreshold, comp, mergedCount);
+        }
+    }
+
+    /**
+     * Runs a query for a given percentile. The query can only be run on a compressed summary, you
+     * need to call compress() before using it.
+     *
+     * @param percentile The target percentile.
+     * @return The corresponding approximate quantile.
+     */
+    public double query(double percentile) {
+        return query(new double[] {percentile})[0];
+    }
+
+    /**
+     * Runs a query for a given sequence of percentiles. The query can only be run on a compressed
+     * summary, you need to call compress() before using it.
+     *
+     * @param percentiles A list of the target percentiles.
+     * @return A list of the corresponding approximate quantiles, in the same order as the input.
+     */
+    public double[] query(double[] percentiles) {
+        Arrays.stream(percentiles)
+                .forEach(
+                        x ->
+                                Preconditions.checkState(
+                                        x >= 0 && x <= 1.0,
+                                        "percentile should be in the range [0.0, 1.0]."));
+        Preconditions.checkState(
+                headBuffer.isEmpty(),
+                "Cannot operate on an uncompressed summary, call compress() first.");
+        Preconditions.checkState(
+                sampled != null && !sampled.isEmpty(),
+                "Cannot query percentiles without any records inserted.");
+        double targetError = Long.MIN_VALUE;
+        for (StatsTuple tuple : sampled) {
+            targetError = Math.max(targetError, (tuple.delta + tuple.g));
+        }
+        targetError = targetError / 2;
+        Map<Double, Integer> zipWithIndex = new HashMap<>(percentiles.length);
+        IntStream.range(0, percentiles.length).forEach(i -> zipWithIndex.put(percentiles[i], i));
+
+        int index = 0;
+        long minRank = sampled.get(0).g;
+        double[] sorted = Arrays.stream(percentiles).sorted().toArray();
+        double[] result = new double[percentiles.length];
+
+        for (int i = 0; i < sorted.length; i++) {
+            int percentileIndex = zipWithIndex.get(sorted[i]);
+            if (sorted[i] <= relativeError) {
+                result[percentileIndex] = sampled.get(0).value;
+            } else if (sorted[i] >= 1 - relativeError) {
+                result[percentileIndex] = sampled.get(sampled.size() - 1).value;
+            } else {
+                QueryResult queryResult =
+                        findApproximateQuantile(index, minRank, targetError, sorted[i]);
+                index = queryResult.index;
+                minRank = queryResult.minRankAtIndex;
+                result[percentileIndex] = queryResult.percentile;
+            }
+        }
+        return result;
+    }
+
+    /**
+     * Check whether the QuantileSummary has inserted rows. Running query on an empty
+     * QuantileSummary would cause {@link java.lang.IllegalStateException}.
+     *
+     * @return True if the QuantileSummary is empty, otherwise false.
+     */
+    public boolean isEmpty() {

Review Comment:
   Should it be `private`?



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