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

    https://github.com/apache/spark/pull/16344#discussion_r93215641
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/ml/regression/GeneralizedLinearRegression.scala
 ---
    @@ -592,6 +629,59 @@ object GeneralizedLinearRegression extends 
DefaultParamsReadable[GeneralizedLine
       }
     
       /**
    +    * Tweedie exponential family distribution.
    +    * The default link for the Tweedie family is the log link.
    +    */
    +  private[regression] object Tweedie extends Family("tweedie") {
    +
    +    val defaultLink: Link = Log
    +
    +    var variancePower: Double = 1.5
    +
    +    override def initialize(y: Double, weight: Double): Double = {
    +      if (variancePower > 1.0 && variancePower < 2.0) {
    +        require(y >= 0.0, "The response variable of the specified Tweedie 
distribution " +
    +          s"should be non-negative, but got $y")
    +        math.max(y, 0.1)
    --- End diff --
    
    If we're going to use this magic 0.1 constant in many places, factor out a 
constant? 0.1 seems quite large as an 'epsilon' but I guess that's what R's 
implementation uses for whatever reason?


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