DB Tsai created SPARK-2272:
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             Summary: Feature scaling which standardizes the range of 
independent variables or features of data.
                 Key: SPARK-2272
                 URL: https://issues.apache.org/jira/browse/SPARK-2272
             Project: Spark
          Issue Type: New Feature
          Components: MLlib
            Reporter: DB Tsai


Feature scaling is a method used to standardize the range of independent 
variables or features of data. In data processing, it is also known as data 
normalization and is generally performed during the data preprocessing step.

In this work, a trait called `VectorTransformer` is defined for generic 
transformation of a vector. It contains two methods, `apply` which applies 
transformation on a vector and `unapply` which applies inverse transformation 
on a vector.

There are three concrete implementations of `VectorTransformer`, and they all 
can be easily extended with PMML transformation support. 

1) `VectorStandardizer` - Standardises a vector given the mean and variance. 
Since the standardization will densify the output, the output is always in 
dense vector format.
 
2) `VectorRescaler` -  Rescales a vector into target range specified by a tuple 
of two double values or two vectors as new target minimum and maximum. Since 
the rescaling will substrate the minimum of each column first, the output will 
always be in dense vector regardless of input vector type.

3) `VectorDivider` -  Transforms a vector by dividing a constant or diving a 
vector with element by element basis. This transformation will preserve the 
type of input vector without densifying the result.

Utility helper methods are implemented for taking an input of RDD[Vector], and 
then transformed RDD[Vector] and transformer are returned for dividing, 
rescaling, normalization, and standardization. 






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