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https://issues.apache.org/jira/browse/SPARK-13029?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Apache Spark reassigned SPARK-13029:
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    Assignee: Apache Spark  (was: Shuo Xiang)

> Logistic regression returns inaccurate results when there is a column with 
> identical value, and fit_intercept=false
> -------------------------------------------------------------------------------------------------------------------
>
>                 Key: SPARK-13029
>                 URL: https://issues.apache.org/jira/browse/SPARK-13029
>             Project: Spark
>          Issue Type: Bug
>          Components: ML
>    Affects Versions: 1.5.2, 1.6.0
>            Reporter: Shuo Xiang
>            Assignee: Apache Spark
>
> This is a bug that appears while fitting a Logistic Regression model with 
> `.setStandardization(false)` and `setFitIntercept(false)`. If the data matrix 
> has one column with identical value, the resulting model is not correct. 
> Specifically, the special column will always get a weight of 0, due to the 
> special check inside the code. However, the correct solution, which is unique 
> for L2 logistic regression, usually has non-zero weight.
> I use the [heart_scale 
> data](https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/binary.html) 
> and manually augmented the data matrix with a column of one. The resulting 
> data is run with reg=1.0, max_iter=1000, tol=1e-9 on the following tools:
>  - libsvm
>  - scikit-learn
>  - sparkml
> (Notice libsvm and scikit-learn use a slightly different formulation, so 
> their regularizer is equivalently set to 1/270).
> The first two will have an objective value 0.7275 and give a solution vector:
> [0.03007516959304916, 0.09054186091216457, 0.09540306114820495, 
> 0.02436266296315414, 0.01739437315700921, -0.0006404006623321454
> 0.06367837291956932, -0.0589096636263823, 0.1382458934368336, 
> 0.06653302996539669, 0.07988499067852513, 0.1197789052423401, 
> 0.1801661775839843, -0.01248615347419409].
> Spark will produce an objective value 0.7278 and give a solution vector:
> [0.029917351003921247,0.08993936770232434,0.09458507615360119,0.024920710363734895,0.018259589234194296,5.929247527202199E-4,0.06362198973221662,-0.059307008587031494,0.13886738997128056,0.0678246717525043,0.08062880450385658,0.12084979858539521,0.180460850026883,0.0]
> Notice the last element of the weight vector is 0.
> I have a fix for it and passed the above test.



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