zhengruifeng commented on a change in pull request #26124: 
[SPARK-29224][ML]Implement Factorization Machines as a ml-pipeline component 
URL: https://github.com/apache/spark/pull/26124#discussion_r339882486
 
 

 ##########
 File path: 
mllib/src/main/scala/org/apache/spark/ml/regression/FactorizationMachines.scala
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 @@ -0,0 +1,757 @@
+/*
+ * 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.spark.ml.regression
+
+import scala.util.Random
+
+import breeze.linalg.{axpy => brzAxpy, norm => brzNorm, Vector => BV}
+import breeze.numerics.{sqrt => brzSqrt}
+import org.apache.hadoop.fs.Path
+
+import org.apache.spark.annotation.Since
+import org.apache.spark.internal.Logging
+import org.apache.spark.ml.{PredictionModel, Predictor, PredictorParams}
+import org.apache.spark.ml.linalg._
+import org.apache.spark.ml.linalg.BLAS._
+import org.apache.spark.ml.param._
+import org.apache.spark.ml.param.shared._
+import org.apache.spark.ml.util._
+import org.apache.spark.ml.util.Instrumentation.instrumented
+import org.apache.spark.mllib.{linalg => OldLinalg}
+import org.apache.spark.mllib.linalg.{Vector => OldVector, Vectors => 
OldVectors}
+import org.apache.spark.mllib.linalg.VectorImplicits._
+import org.apache.spark.mllib.optimization.{Gradient, GradientDescent, 
SquaredL2Updater, Updater}
+import org.apache.spark.mllib.regression.{LabeledPoint => OldLabeledPoint}
+import org.apache.spark.mllib.util.MLUtils
+import org.apache.spark.rdd.RDD
+import org.apache.spark.sql.{Dataset, Row}
+import org.apache.spark.sql.functions.col
+import org.apache.spark.storage.StorageLevel
+
+/**
+ * Params for Factorization Machines
+ */
+private[regression] trait FactorizationMachinesParams
+  extends PredictorParams
+  with HasMaxIter with HasStepSize with HasTol with HasSolver with HasLoss {
+
+  import FactorizationMachines._
+
+  /**
+   * Param for dimensionality of the factors (>= 0)
+   * @group param
+   */
+  @Since("3.0.0")
+  final val numFactors: IntParam = new IntParam(this, "numFactors",
+    "dimensionality of the factor vectors, " +
+      "which are used to get pairwise interactions between variables",
+    ParamValidators.gt(0))
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getNumFactors: Int = $(numFactors)
+
+  /**
+   * Param for whether to fit global bias term
+   * @group param
+   */
+  @Since("3.0.0")
+  final val fitBias: BooleanParam = new BooleanParam(this, "fitBias",
+    "whether to fit global bias term")
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getFitBias: Boolean = $(fitBias)
+
+  /**
+   * Param for whether to fit linear term (aka 1-way term)
+   * @group param
+   */
+  @Since("3.0.0")
+  final val fitLinear: BooleanParam = new BooleanParam(this, "fitLinear",
+    "whether to fit linear term (aka 1-way term)")
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getFitLinear: Boolean = $(fitLinear)
+
+  /**
+   * Param for L2 regularization parameter (>= 0)
+   * @group param
+   */
+  @Since("3.0.0")
+  final val regParam: DoubleParam = new DoubleParam(this, "regParam",
+    "the parameter of l2-regularization term, " +
+      "which prevents overfitting by adding sum of squares of all the 
parameters",
+    ParamValidators.gtEq(0))
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getRegParam: Double = $(regParam)
+
+  /**
+   * Param for mini-batch fraction, must be in range (0, 1]
+   * @group param
+   */
+  @Since("3.0.0")
+  final val miniBatchFraction: DoubleParam = new DoubleParam(this, 
"miniBatchFraction",
+    "fraction of the input data set that should be used for one iteration of 
gradient descent",
+    ParamValidators.inRange(0, 1, false, true))
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getMiniBatchFraction: Double = $(miniBatchFraction)
+
+  /**
+   * Param for standard deviation of initial coefficients
+   * @group param
+   */
+  @Since("3.0.0")
+  final val initStd: DoubleParam = new DoubleParam(this, "initStd",
+    "standard deviation of initial coefficients", ParamValidators.gt(0))
+
+  /** @group getParam */
+  @Since("3.0.0")
+  final def getInitStd: Double = $(initStd)
+
+  /**
+   * The solver algorithm for optimization.
+   * Supported options: "gd", "adamW".
+   * Default: "adamW"
+   *
+   * @group param
+   */
+  @Since("3.0.0")
+  final override val solver: Param[String] = new Param[String](this, "solver",
+    "The solver algorithm for optimization. Supported options: " +
+      s"${supportedSolvers.mkString(", ")}. (Default adamW)",
+    ParamValidators.inArray[String](supportedSolvers))
+
+  /**
+   * The loss function to be optimized.
+   * Supported options: "logisticLoss" and "squaredError".
+   * Default: "logisticLoss"
+   *
+   * @group param
+   */
+  @Since("3.0.0")
+  final override val loss: Param[String] = new Param[String](this, "loss", 
"The loss function to" +
+    s" be optimized. Supported options: ${supportedLosses.mkString(", ")}. 
(Default logisticLoss)",
+    ParamValidators.inArray[String](supportedLosses))
+}
+
+/**
+ * Factorization Machines
+ */
+@Since("3.0.0")
+class FactorizationMachines @Since("3.0.0") (
+    @Since("3.0.0") override val uid: String)
+  extends Predictor[Vector, FactorizationMachines, FactorizationMachinesModel]
+  with FactorizationMachinesParams with DefaultParamsWritable with Logging {
+
+  import FactorizationMachines._
+
+  @Since("3.0.0")
+  def this() = this(Identifiable.randomUID("fm"))
+
+  /**
+   * Set the dimensionality of the factors.
+   * Default is 8.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setNumFactors(value: Int): this.type = set(numFactors, value)
+  setDefault(numFactors -> 8)
+
+  /**
+   * Set whether to fit global bias term.
+   * Default is true.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setFitBias(value: Boolean): this.type = set(fitBias, value)
+  setDefault(fitBias -> true)
+
+  /**
+   * Set whether to fit linear term.
+   * Default is true.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setFitLinear(value: Boolean): this.type = set(fitLinear, value)
+  setDefault(fitLinear -> true)
+
+  /**
+   * Set the L2 regularization parameter.
+   * Default is 0.0.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setRegParam(value: Double): this.type = set(regParam, value)
+  setDefault(regParam -> 0.0)
+
+  /**
+   * Set the mini-batch fraction parameter.
+   * Default is 1.0.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setMiniBatchFraction(value: Double): this.type = {
+    require(value > 0 && value <= 1.0,
+      s"Fraction for mini-batch SGD must be in range (0, 1] but got $value")
+    set(miniBatchFraction, value)
+  }
+  setDefault(miniBatchFraction -> 1.0)
+
+  /**
+   * Set the standard deviation of initial coefficients.
+   * Default is 0.01.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setInitStd(value: Double): this.type = set(initStd, value)
+  setDefault(initStd -> 0.01)
+
+  /**
+   * Set the maximum number of iterations.
+   * Default is 100.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setMaxIter(value: Int): this.type = set(maxIter, value)
+  setDefault(maxIter -> 100)
+
+  /**
+   * Set the initial step size for the first step (like learning rate).
+   * Default is 1.0.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setStepSize(value: Double): this.type = set(stepSize, value)
+  setDefault(stepSize -> 1.0)
+
+  /**
+   * Set the convergence tolerance of iterations.
+   * Default is 1E-6.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setTol(value: Double): this.type = set(tol, value)
+  setDefault(tol -> 1E-6)
+
+  /**
+   * Set the solver algorithm used for optimization.
+   * Default is adamW.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setSolver(value: String): this.type = set(solver, value)
+  setDefault(solver -> AdamW)
+
+  /**
+   * Sets the value of param [[loss]].
+   * - "logisticLoss" is used to classification, label must be in {0, 1}.
+   * - "squaredError" is used to regression.
+   * Default is logisticLoss.
+   *
+   * @group setParam
+   */
+  @Since("3.0.0")
+  def setLoss(value: String): this.type = set(loss, value)
+  setDefault(loss -> LogisticLoss)
+
+  override protected[spark] def train(dataset: Dataset[_]): 
FactorizationMachinesModel = {
+    val handlePersistence = dataset.rdd.getStorageLevel == StorageLevel.NONE
+    train(dataset, handlePersistence)
+  }
+
+  protected[spark] def train(
+      dataset: Dataset[_],
+      handlePersistence: Boolean): FactorizationMachinesModel = instrumented { 
instr =>
+    val instances: RDD[OldLabeledPoint] =
+      dataset.select(col($(labelCol)), col($(featuresCol))).rdd.map {
+        case Row(label: Double, features: Vector) =>
+          OldLabeledPoint(label, features)
+      }
+
+    if (handlePersistence) instances.persist(StorageLevel.MEMORY_AND_DISK)
+
+    instr.logPipelineStage(this)
+    instr.logDataset(dataset)
+    instr.logParams(this, numFactors, fitBias, fitLinear, regParam,
+      miniBatchFraction, initStd, maxIter, stepSize, tol, solver, loss)
+
+    val numFeatures = instances.first().features.size
+    instr.logNumFeatures(numFeatures)
+
+    // initialize coefficients
+    val coefficientsSize = $(numFactors) * numFeatures +
+      (if ($(fitLinear)) numFeatures else 0) +
+      (if ($(fitBias)) 1 else 0)
+    val initialCoefficients =
+      Vectors.dense(Array.fill($(numFactors) * 
numFeatures)(Random.nextGaussian() * $(initStd)) ++
+        (if ($(fitLinear)) Array.fill(numFeatures)(0.0) else 
Array.empty[Double]) ++
+        (if ($(fitBias)) Array.fill(1)(0.0) else Array.empty[Double]))
+
+    val data = instances.map { case OldLabeledPoint(label, features) => 
(label, features) }
+
+    // optimize coefficients with gradient descent
+    val gradient = BaseFactorizationMachinesGradient.parseLoss(
+      $(loss), $(numFactors), $(fitBias), $(fitLinear), numFeatures)
+
+    val updater = $(solver) match {
+      case GD => new SquaredL2Updater()
+      case AdamW => new AdamWUpdater(coefficientsSize)
+    }
+
+    val optimizer = new GradientDescent(gradient, updater)
+      .setStepSize($(stepSize))
+      .setNumIterations($(maxIter))
+      .setRegParam($(regParam))
+      .setMiniBatchFraction($(miniBatchFraction))
+      .setConvergenceTol($(tol))
+    val coefficients = optimizer.optimize(data, initialCoefficients)
+
+    if (handlePersistence) instances.unpersist()
+
+    val model = copyValues(new FactorizationMachinesModel(uid, coefficients, 
numFeatures))
+    model
+  }
+
+  @Since("3.0.0")
+  override def copy(extra: ParamMap): FactorizationMachines = 
defaultCopy(extra)
+}
+
+@Since("3.0.0")
+object FactorizationMachines extends 
DefaultParamsReadable[FactorizationMachines] {
+
+  @Since("3.0.0")
+  override def load(path: String): FactorizationMachines = super.load(path)
+
+  /** String name for "gd". */
+  private[regression] val GD = "gd"
+
+  /** String name for "adamW". */
+  private[regression] val AdamW = "adamW"
+
+  /** Set of solvers that FactorizationMachines supports. */
+  private[regression] val supportedSolvers = Array(GD, AdamW)
+
+  /** String name for "logisticLoss". */
+  private[regression] val LogisticLoss = "logisticLoss"
+
+  /** String name for "squaredError". */
+  private[regression] val SquaredError = "squaredError"
+
+  /** Set of loss function names that FactorizationMachines supports. */
+  private[regression] val supportedLosses = Array(SquaredError, LogisticLoss)
+}
+
+/**
+ * Model produced by [[FactorizationMachines]].
+ */
+@Since("3.0.0")
+class FactorizationMachinesModel (
+    @Since("3.0.0") override val uid: String,
+    @Since("3.0.0") val coefficients: OldVector,
 
 Review comment:
   I'd prefer a `ml.vector` here, just call `.asML` method.

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