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

    https://github.com/apache/spark/pull/79#discussion_r11229365
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/tree/impurity/Impurity.scala ---
    @@ -0,0 +1,42 @@
    +/*
    + * Licensed to the Apache Software Foundation (ASF) under one or more
    + * contributor license agreements.  See the NOTICE file distributed with
    + * this work for additional information regarding copyright ownership.
    + * The ASF licenses this file to You under the Apache License, Version 2.0
    + * (the "License"); you may not use this file except in compliance with
    + * the License.  You may obtain a copy of the License at
    + *
    + *    http://www.apache.org/licenses/LICENSE-2.0
    + *
    + * Unless required by applicable law or agreed to in writing, software
    + * distributed under the License is distributed on an "AS IS" BASIS,
    + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    + * See the License for the specific language governing permissions and
    + * limitations under the License.
    + */
    +
    +package org.apache.spark.mllib.tree.impurity
    +
    +/**
    + * Trait for calculating information gain.
    + */
    +trait Impurity extends Serializable {
    --- End diff --
    
    `Impurity` should be renamed to `Error` or something more technical and 
familiar. Also see the comments earlier for the necessity and example design of 
a generic `Error` interface.
       
    The `calculate` method can be renamed to something verbose like `error`.
       
    For a generic interface, an additional `ErrorStats` trait and 
`error(errorStats: ErrorStats)` method can be added. For example, `Variance` or 
more aptly, `SquareError`, would implement `case class SquareErrorStats(count: 
Long, mean: Double, meanSquare: Double)` and `error(errorStats) = 
errorStats.meanSquare - errorStats.mean * errorStats.mean / count`. Note that 
`ErrorStats` should have aggregation methods, e.g., it's easy to see the 
implementation for `SquareErrorStats`.
    
    The `Variance` class should be renamed to `SquareError`, `Entropy` to 
`EntropyError` or `KLDivergence`, `Gini` to `GiniError`.



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