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

    https://github.com/apache/spark/pull/10274#discussion_r49815599
  
    --- Diff: 
mllib/src/test/scala/org/apache/spark/ml/optim/WeightedLeastSquaresSuite.scala 
---
    @@ -74,6 +89,35 @@ class WeightedLeastSquaresSuite extends SparkFunSuite 
with MLlibTestSparkContext
         }
       }
     
    +  test("WLS against lm when label is constant") {
    +    /*
    +       R code:
    +       # here b is constant
    +       df <- as.data.frame(cbind(A, b))
    +       for (formula in c(b ~ . -1, b ~ .)) {
    +         model <- lm(formula, data=df, weights=w)
    +         print(as.vector(coef(model)))
    +       }
    +
    +      [1] -9.221298  3.394343
    +      [1] 17  0  0
    +    */
    +
    +    val expected = Seq(
    +      Vectors.dense(0.0, -9.221298, 3.394343),
    +      Vectors.dense(17.0, 0.0, 0.0))
    +
    +    var idx = 0
    +    for (fitIntercept <- Seq(false, true)) {
    +      val wls = new WeightedLeastSquares(
    +        fitIntercept, regParam = 0.0, standardizeFeatures = false, 
standardizeLabel = true)
    +        .fit(instancesConstLabel)
    --- End diff --
    
    I've added exception and the test for `standardizeLabel = true`, `regParam 
!= 0` and `yStd == 0.0`. The only thing now left is to add test for the case 
`standardizeLabel = false`, `regParam != 0` and `yStd == 0.0`. As I mentioned 
before, in this case I cannot compare with `glmnet`. So, I'll try to implement 
normal equation in python by myself and compare with that. The good thing is 
that, for this  particular case, both `normal` and `l-bfgs` give identical 
results!


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