Github user tillrohrmann commented on a diff in the pull request:

    https://github.com/apache/flink/pull/613#discussion_r29856369
  
    --- Diff: 
flink-staging/flink-ml/src/main/scala/org/apache/flink/ml/optimization/GradientDescent.scala
 ---
    @@ -0,0 +1,231 @@
    +/*
    + * 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.optimization
    +
    +import org.apache.flink.api.common.functions.RichMapFunction
    +import org.apache.flink.api.scala._
    +import org.apache.flink.configuration.Configuration
    +import org.apache.flink.ml.common._
    +import org.apache.flink.ml.math._
    +import org.apache.flink.ml.optimization.IterativeSolver.{Iterations, 
Stepsize}
    +import org.apache.flink.ml.optimization.Solver._
    +
    +/** This [[Solver]] performs Stochastic Gradient Descent optimization 
using mini batches
    +  *
    +  * For each labeled vector in a mini batch the gradient is computed and 
added to a partial
    +  * gradient. The partial gradients are then summed and divided by the 
size of the batches. The
    +  * average gradient is then used to updated the weight values, including 
regularization.
    +  *
    +  * At the moment, the whole partition is used for SGD, making it 
effectively a batch gradient
    +  * descent. Once a sampling operator has been introduced, the algorithm 
can be optimized
    +  *
    +  * @param runParameters The parameters to tune the algorithm. Currently 
these include:
    +  *                      [[Solver.LossFunction]] for the loss function to 
be used,
    +  *                      [[Solver.RegularizationType]] for the type of 
regularization,
    +  *                      [[Solver.RegularizationParameter]] for the 
regularization parameter,
    +  *                      [[IterativeSolver.Iterations]] for the maximum 
number of iteration,
    +  *                      [[IterativeSolver.Stepsize]] for the learning 
rate used.
    +  */
    +class GradientDescent(runParameters: ParameterMap) extends IterativeSolver 
{
    +
    +  import Solver.WEIGHTVECTOR_BROADCAST
    +
    +  var parameterMap: ParameterMap = parameters ++ runParameters
    +
    +  /** Performs one iteration of Stochastic Gradient Descent using mini 
batches
    +    *
    +    * @param data A Dataset of LabeledVector (label, features) pairs
    +    * @param currentWeights A Dataset with the current weights to be 
optimized as its only element
    +    * @return A Dataset containing the weights after one stochastic 
gradient descent step
    +    */
    +  private def SGDStep(data: DataSet[(LabeledVector)], currentWeights: 
DataSet[WeightVector]):
    +  DataSet[WeightVector] = {
    +
    +    // TODO: Sample from input to realize proper SGD
    +    data.map {
    +      new GradientCalculation
    +    }.withBroadcastSet(currentWeights, WEIGHTVECTOR_BROADCAST).reduce {
    +      (left, right) =>
    +        val (leftGradVector, leftLoss, leftCount) = left
    +        val (rightGradVector, rightLoss, rightCount) = right
    +        // Add the left gradient to the right one
    +        BLAS.axpy(1.0, leftGradVector.weights, rightGradVector.weights)
    +        val gradients = WeightVector(
    +          rightGradVector.weights, leftGradVector.intercept + 
rightGradVector.intercept)
    +
    +        (gradients , leftLoss + rightLoss, leftCount + rightCount)
    +    }.map {
    +      new WeightsUpdate
    +    }.withBroadcastSet(currentWeights, WEIGHTVECTOR_BROADCAST)
    +  }
    +
    +  /** Provides a solution for the given optimization problem
    +    *
    +    * @param data A Dataset of LabeledVector (label, features) pairs
    +    * @param initWeights The initial weights that will be optimized
    +    * @return The weights, optimized for the provided data.
    +    */
    +  override def optimize(
    +    data: DataSet[LabeledVector],
    +    initWeights: Option[DataSet[WeightVector]]): DataSet[WeightVector] = {
    +    // TODO: Faster way to do this?
    +    val dimensionsDS = data.map(_.vector.size).reduce((a, b) => b)
    +
    +    val numberOfIterations: Int = parameterMap(Iterations)
    +
    +    val initialWeightsDS: DataSet[WeightVector] = initWeights match {
    +      case Some(x) => x
    --- End diff --
    
    Check that the provided weight vector is dense. If not, then make it dense. 
Alternatively, we can change the `WeightVector` type to only accept 
`DenseVector` weight vectors. What do you think?


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