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

    https://github.com/apache/spark/pull/40#discussion_r10178907
  
    --- Diff: 
mllib/src/test/scala/org/apache/spark/mllib/optimization/GradientDescentSuite.scala
 ---
    @@ -104,4 +104,45 @@ class GradientDescentSuite extends FunSuite with 
LocalSparkContext with ShouldMa
         val lossDiff = loss.init.zip(loss.tail).map { case (lhs, rhs) => lhs - 
rhs }
         assert(lossDiff.count(_ > 0).toDouble / lossDiff.size > 0.8)
       }
    +
    +  test("Test the loss and gradient of first iteration with 
regularization.") {
    +
    +    val gradient = new LogisticGradient()
    +    val updater = new SquaredL2Updater()
    +
    +    // Add a extra variable consisting of all 1.0's for the intercept.
    +    val testData = GradientDescentSuite.generateGDInput(2.0, -1.5, 10000, 
42)
    +    val data = testData.map { case LabeledPoint(label, features) =>
    +      label -> Array(1.0, features: _*)
    +    }
    +
    +    val dataRDD = sc.parallelize(data, 2).cache()
    +
    +    // Prepare non-zero weights
    +    val initialWeightsWithIntercept = Array(1.0, 0.5)
    +
    +    val regParam0 = 0
    +    val (newWeights0, loss0) = GradientDescent.runMiniBatchSGD(
    +      dataRDD, gradient, updater, 1, 1, regParam0, 1.0, 
initialWeightsWithIntercept)
    +
    +    val regParam1 = 1
    +    val (newWeights1, loss1) = GradientDescent.runMiniBatchSGD(
    +      dataRDD, gradient, updater, 1, 1, regParam1, 1.0, 
initialWeightsWithIntercept)
    +
    +    def compareDouble(x: Double, y: Double, tol: Double = 1E-3): Boolean = 
{
    +      math.abs(x - y) / (math.abs(y) + 1e-15) < tol
    +    }
    +
    +    assert(compareDouble(
    +      loss1(0),
    +      loss0(0) + (math.pow(initialWeightsWithIntercept(0), 2) +
    +        math.pow(initialWeightsWithIntercept(1), 2)) / 2),
    +      """For non-zero weights, the regVal should be \frac{1}{2}\sum_i 
w_i^2.""")
    +
    +    assert(
    +      compareDouble(newWeights1(0) , newWeights0(0) - 
initialWeightsWithIntercept(0)) &&
    +      compareDouble(newWeights1(1) , newWeights0(1) - 
initialWeightsWithIntercept(1)),
    +      "The different between newWeights with/without regularization " +
    +        "should be initialWeightsWithIntercept")
    --- End diff --
    
    Missing a period at the end.


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