Github user tillrohrmann commented on a diff in the pull request: https://github.com/apache/flink/pull/1220#discussion_r63701460 --- Diff: flink-libraries/flink-ml/src/main/scala/org/apache/flink/ml/nn/KNN.scala --- @@ -0,0 +1,354 @@ +/* + * 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.nn + +import org.apache.flink.api.common.operators.Order +import org.apache.flink.api.common.typeinfo.TypeInformation +import org.apache.flink.api.scala.utils._ +import org.apache.flink.api.scala._ +import org.apache.flink.ml.common._ +import org.apache.flink.ml.math.{Vector => FlinkVector, DenseVector} +import org.apache.flink.ml.metrics.distances.{SquaredEuclideanDistanceMetric, DistanceMetric, +EuclideanDistanceMetric} +import org.apache.flink.ml.pipeline.{FitOperation, PredictDataSetOperation, Predictor} +import org.apache.flink.util.Collector +import org.apache.flink.api.common.operators.base.CrossOperatorBase.CrossHint + +import scala.collection.immutable.Vector +import scala.collection.mutable +import scala.collection.mutable.ArrayBuffer +import scala.reflect.ClassTag + +/** Implements a k-nearest neighbor join. + * + * Calculates the `k`-nearest neighbor points in the training set for each point in the test set. + * + * @example + * {{{ + * val trainingDS: DataSet[Vector] = ... + * val testingDS: DataSet[Vector] = ... + * + * val knn = KNN() + * .setK(10) + * .setBlocks(5) + * .setDistanceMetric(EuclideanDistanceMetric()) + * + * knn.fit(trainingDS) + * + * val predictionDS: DataSet[(Vector, Array[Vector])] = knn.predict(testingDS) + * }}} + * + * =Parameters= + * + * - [[org.apache.flink.ml.nn.KNN.K]] + * Sets the K which is the number of selected points as neighbors. (Default value: '''5''') + * + * - [[org.apache.flink.ml.nn.KNN.DistanceMetric]] + * Sets the distance metric we use to calculate the distance between two points. If no metric is + * specified, then [[org.apache.flink.ml.metrics.distances.EuclideanDistanceMetric]] is used. + * (Default value: '''EuclideanDistanceMetric()''') + * + * - [[org.apache.flink.ml.nn.KNN.Blocks]] + * Sets the number of blocks into which the input data will be split. This number should be set + * at least to the degree of parallelism. If no value is specified, then the parallelism of the + * input [[DataSet]] is used as the number of blocks. (Default value: '''None''') + * + * - [[org.apache.flink.ml.nn.KNN.UseQuadTreeParam]] + * A boolean variable that whether or not to use a Quadtree to partition the training set + * to potentially simplify the KNN search. If no value is specified, the code will + * automatically decide whether or not to use a Quadtree. Use of a Quadtree scales well + * with the number of training and testing points, though poorly with the dimension. + * (Default value: ```None```) + * + * - [[org.apache.flink.ml.nn.KNN.SizeHint]] + * Specifies whether the training set or test set is small to optimize the cross + * product operation needed for the KNN search. If the training set is small + * this should be `CrossHint.FIRST_IS_SMALL` and set to `CrossHint.SECOND_IS_SMALL` + * if the test set is small. + * (Default value: ```None```) + * + */ + +class KNN extends Predictor[KNN] { + + import KNN._ + + var trainingSet: Option[DataSet[Block[FlinkVector]]] = None + + /** Sets K + * @param k the number of selected points as neighbors + */ + def setK(k: Int): KNN = { + require(k > 0, "K must be positive.") + parameters.add(K, k) + this + } + + /** Sets the distance metric + * @param metric the distance metric to calculate distance between two points + */ + def setDistanceMetric(metric: DistanceMetric): KNN = { + parameters.add(DistanceMetric, metric) + this + } + + /** Sets the number of data blocks/partitions + * @param n the number of data blocks + */ + def setBlocks(n: Int): KNN = { + require(n > 0, "Number of blocks must be positive.") + parameters.add(Blocks, n) + this + } + + /** + * Sets the Boolean variable that decides whether to use the QuadTree or not + */ + def setUseQuadTree(useQuadTree: Boolean): KNN = { + if (useQuadTree){ + require(parameters(DistanceMetric).isInstanceOf[SquaredEuclideanDistanceMetric] || + parameters(DistanceMetric).isInstanceOf[EuclideanDistanceMetric]) + } + parameters.add(UseQuadTreeParam, useQuadTree) + this + } + + /** + * Parameter a user can specify if one of the training or test sets are small + * @param sizeHint + * @return + */ + def setSizeHint(sizeHint: CrossHint): KNN = { + parameters.add(SizeHint, sizeHint) + this + } + +} + +object KNN { + + case object K extends Parameter[Int] { + val defaultValue: Option[Int] = Some(5) + } + + case object DistanceMetric extends Parameter[DistanceMetric] { + val defaultValue: Option[DistanceMetric] = Some(EuclideanDistanceMetric()) + } + + case object Blocks extends Parameter[Int] { + val defaultValue: Option[Int] = None + } + + case object UseQuadTreeParam extends Parameter[Boolean] { + val defaultValue: Option[Boolean] = None + } + + case object SizeHint extends Parameter[CrossHint] { + val defaultValue: Option[CrossHint] = None + } + + def apply(): KNN = { + new KNN() + } + + /** [[FitOperation]] which trains a KNN based on the given training data set. + * @tparam T Subtype of [[org.apache.flink.ml.math.Vector]] + */ + implicit def fitKNN[T <: FlinkVector : TypeInformation] = new FitOperation[KNN, T] { + override def fit( + instance: KNN, + fitParameters: ParameterMap, + input: DataSet[T]): Unit = { + val resultParameters = instance.parameters ++ fitParameters + + require(resultParameters.get(K).isDefined, "K is needed for calculation") + + val blocks = resultParameters.get(Blocks).getOrElse(input.getParallelism) + val partitioner = FlinkMLTools.ModuloKeyPartitioner + val inputAsVector = input.asInstanceOf[DataSet[FlinkVector]] + + instance.trainingSet = Some(FlinkMLTools.block(inputAsVector, blocks, Some(partitioner))) + } + } + + /** [[PredictDataSetOperation]] which calculates k-nearest neighbors of the given testing data + * set. + * @tparam T Subtype of [[Vector]] + * @return The given testing data set with k-nearest neighbors + */ + implicit def predictValues[T <: FlinkVector : ClassTag : TypeInformation] = { + new PredictDataSetOperation[KNN, T, (FlinkVector, Array[FlinkVector])] { + override def predictDataSet( + instance: KNN, + predictParameters: ParameterMap, + input: DataSet[T]): DataSet[(FlinkVector, + Array[FlinkVector])] = { + val resultParameters = instance.parameters ++ predictParameters + + instance.trainingSet match { + case Some(trainingSet) => + val k = resultParameters.get(K).get + val blocks = resultParameters.get(Blocks).getOrElse(input.getParallelism) + val metric = resultParameters.get(DistanceMetric).get + val partitioner = FlinkMLTools.ModuloKeyPartitioner + + // attach unique id for each data + val inputWithId: DataSet[(Long, T)] = input.zipWithUniqueId + + // split data into multiple blocks + val inputSplit = FlinkMLTools.block(inputWithId, blocks, Some(partitioner)) + + val sizeHint = resultParameters.get(SizeHint) + val crossTuned = sizeHint match { + case Some(hint) if hint == CrossHint.FIRST_IS_SMALL => + trainingSet.crossWithHuge(inputSplit) + case Some(hint) if hint == CrossHint.SECOND_IS_SMALL => + trainingSet.crossWithTiny(inputSplit) + case _ => trainingSet.cross(inputSplit) + } + + // join input and training set + val crossed = crossTuned.mapPartition { + (iter, out: Collector[(FlinkVector, FlinkVector, Long, Double)]) => { + for ((training, testing) <- iter) { + val queue = mutable.PriorityQueue[(FlinkVector, FlinkVector, Long, Double)]()( + Ordering.by(_._4)) + + // use a quadtree if (4^dim)Ntest*log(Ntrain) + // < Ntest*Ntrain, and distance is Euclidean + val useQuadTree = resultParameters.get(UseQuadTreeParam).getOrElse( + training.values.head.size + math.log(math.log(training.values.length) / + math.log(4.0)) < math.log(training.values.length) / math.log(4.0) && --- End diff -- How did you end up with this formula? If I transform the formula in your comment I would end up with the following: `dim*log(4)+log(log(ntrain))<log(ntrain)`. Is there an error in the formula in the comment?
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