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

    https://github.com/apache/spark/pull/15394#discussion_r83006722
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/ml/optim/WeightedLeastSquares.scala ---
    @@ -85,73 +101,193 @@ private[ml] class WeightedLeastSquares(
         val triK = summary.triK
         val wSum = summary.wSum
         val bBar = summary.bBar
    -    val bStd = summary.bStd
    +    val bbBar = summary.bbBar
         val aBar = summary.aBar
    -    val aVar = summary.aVar
    +    val aStd = summary.aStd
         val abBar = summary.abBar
         val aaBar = summary.aaBar
    -    val aaValues = aaBar.values
    -
    -    if (bStd == 0) {
    -      if (fitIntercept) {
    -        logWarning(s"The standard deviation of the label is zero, so the 
coefficients will be " +
    -          s"zeros and the intercept will be the mean of the label; as a 
result, " +
    -          s"training is not needed.")
    -        val coefficients = new DenseVector(Array.ofDim(k-1))
    +    val aaBarValues = aaBar.values
    +    val numFeatures = abBar.size
    +    val rawBStd = summary.bStd
    +    // if b is constant (rawBStd is zero), then b cannot be scaled. In 
this case
    +    // setting bStd=abs(bBar) ensures that b is not scaled anymore in 
l-bfgs algorithm.
    +    val bStd = if (rawBStd == 0.0) math.abs(bBar) else rawBStd
    +
    +    if (rawBStd == 0) {
    +      if (fitIntercept || bBar == 0.0) {
    +        if (bBar == 0.0) {
    +          logWarning(s"Mean and standard deviation of the label are zero, 
so the coefficients " +
    +            s"and the intercept will all be zero; as a result, training is 
not needed.")
    +        } else {
    +          logWarning(s"The standard deviation of the label is zero, so the 
coefficients will be " +
    +            s"zeros and the intercept will be the mean of the label; as a 
result, " +
    +            s"training is not needed.")
    +        }
    +        val coefficients = new DenseVector(Array.ofDim(numFeatures))
             val intercept = bBar
             val diagInvAtWA = new DenseVector(Array(0D))
    -        return new WeightedLeastSquaresModel(coefficients, intercept, 
diagInvAtWA)
    +        return new WeightedLeastSquaresModel(coefficients, intercept, 
diagInvAtWA, Array(0D))
    +      } else {
    +        require(!(regParam > 0.0 && standardizeLabel), "The standard 
deviation of the label is " +
    +          "zero. Model cannot be regularized with standardization=true")
    +        logWarning(s"The standard deviation of the label is zero. Consider 
setting " +
    +          s"fitIntercept=true.")
    +      }
    +    }
    +
    +    val aBarStd = new Array[Double](numFeatures)
    +    var j = 0
    +    while (j < numFeatures) {
    +      if (aStd(j) == 0.0) {
    +        aBarStd(j) = 0.0
           } else {
    -        require(!(regParam > 0.0 && standardizeLabel),
    -          "The standard deviation of the label is zero. " +
    -            "Model cannot be regularized with standardization=true")
    -        logWarning(s"The standard deviation of the label is zero. " +
    -          "Consider setting fitIntercept=true.")
    +        aBarStd(j) = aBar(j) / aStd(j)
    +      }
    +      j += 1
    +    }
    +
    +    val abBarStd = new Array[Double](numFeatures)
    +    j = 0
    +    while (j < numFeatures) {
    +      if (aStd(j) == 0.0) {
    +        abBarStd(j) = 0.0
    +      } else {
    +        abBarStd(j) = abBar(j) / (aStd(j) * bStd)
    +      }
    +      j += 1
    +    }
    +
    +    val aaBarStd = new Array[Double](triK)
    +    j = 0
    +    var kk = 0
    --- End diff --
    
    I'd like to use ```p``` or ```q``` rather than ```kk```.


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