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

    https://github.com/apache/spark/pull/16344#discussion_r96061883
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/ml/regression/GeneralizedLinearRegression.scala
 ---
    @@ -242,9 +316,9 @@ class GeneralizedLinearRegression @Since("2.0.0") 
(@Since("2.0.0") override val
       def setLinkPredictionCol(value: String): this.type = 
set(linkPredictionCol, value)
     
       override protected def train(dataset: Dataset[_]): 
GeneralizedLinearRegressionModel = {
    -    val familyObj = Family.fromName($(family))
    -    val linkObj = if (isDefined(link)) {
    -      Link.fromName($(link))
    +    val familyObj = Family.fromParams(this)
    +    val linkObj = if (isDefined(link) || isDefined(linkPower)) {
    +      Link.fromParams(this)
         } else {
           familyObj.defaultLink
         }
    --- End diff --
    
    Makes sense. I created a companion object `FamilyAndLink` with a factory 
method to construct desired `FamilyAndLink` objects from the input param map. 



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