Github user dbtsai commented on a diff in the pull request: https://github.com/apache/spark/pull/8013#discussion_r36718958 --- Diff: mllib/src/main/scala/org/apache/spark/ml/regression/LinearRegression.scala --- @@ -645,3 +658,80 @@ private class LeastSquaresCostFun( (leastSquaresAggregator.loss + regVal, new BDV(totalGradientArray)) } } + +/** + * HuberCostFun implements Breeze's DiffFunction[T] for Huber cost as used in Robust regression. + * The Huber M-estimator corresponds to a probability distribution for the errors which is normal + * in the centre but like a double exponential distribution in the tails (Hogg 1979: 109). + * L = 1/2 ||A weights-y||^2 if |A weights-y| <= k + * L = k |A weights-y| - 1/2 K^2 if |A weights-y| > k + * where k = 1.345 which produce 95% efficiency when the errors are normal and --- End diff -- Is it possible to make k tunable and default to 1.345 by having another param?
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