Till Rohrmann created FLINK-1742:
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             Summary: Sample data points for MultipleLinearRegression to 
support proper SGD
                 Key: FLINK-1742
                 URL: https://issues.apache.org/jira/browse/FLINK-1742
             Project: Flink
          Issue Type: Improvement
          Components: Machine Learning Library
            Reporter: Till Rohrmann
            Priority: Minor


Currently the stochastic gradient descent method is applied to all data points 
of the {{MultipleLinearRegression}} implementation. In order to scale to huge 
data sets, each MultipleLinearRegression iteration should perform the SGD only 
on a random subset of data points. Therefore, proper data point sampling should 
be added to the {{MultipleLinearRegression}} implementation. 

An easy implementation would simply be a filter which flips for each data point 
a coin deciding whether to take or to discard it. The downside of this approach 
is that the whole data set has to be processed. It would be beneficial if a 
sampling operator does not have to process the whole data set given that it 
knows the data set's size. This assumption should be true for cached data sets 
in an iteration.



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