[ 
https://issues.apache.org/jira/browse/SPARK-11918?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
 ]

Yanbo Liang updated SPARK-11918:
--------------------------------
    Description: 
Weighted Least Squares (WLS) is one of the optimization method for solve Linear 
Regression (when #feature < 4096). But if the dataset is very ill condition 
(such as 0-1 based label used for classification and the equation is 
underdetermined), the WLS failed (But "l-bfgs" can train and get the model). 
The failure is caused by the underneath lapack library return error value when 
Cholesky decomposition.
This issue is easy to reproduce, you can train a LinearRegressionModel by 
"normal" solver with the example 
dataset(https://github.com/apache/spark/blob/master/data/mllib/sample_libsvm_data.txt).
 The following is the exception:
{code}
assertion failed: lapack.dpotrs returned 1.
java.lang.AssertionError: assertion failed: lapack.dpotrs returned 1.
        at scala.Predef$.assert(Predef.scala:179)
        at 
org.apache.spark.mllib.linalg.CholeskyDecomposition$.solve(CholeskyDecomposition.scala:42)
        at 
org.apache.spark.ml.optim.WeightedLeastSquares.fit(WeightedLeastSquares.scala:117)
        at 
org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:180)
        at 
org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:67)
        at org.apache.spark.ml.Predictor.fit(Predictor.scala:90)
{code}

  was:
Weighted Least Squares (WLS) is one of the optimization method for solve Linear 
Regression (when #feature < 4096). But if the dataset is very ill condition 
(such as 0-1 based label used for classification and the equation is 
underdetermined), the WLS failed (But the "l-bfgs" can train and get the 
model). The failure is caused by the underneath lapack library return error 
value when Cholesky decomposition.
This issue is easy to reproduce, you can train a LinearRegressionModel by 
"normal" solver with the example 
dataset(https://github.com/apache/spark/blob/master/data/mllib/sample_libsvm_data.txt).
 The following is the exception:
{code}
assertion failed: lapack.dpotrs returned 1.
java.lang.AssertionError: assertion failed: lapack.dpotrs returned 1.
        at scala.Predef$.assert(Predef.scala:179)
        at 
org.apache.spark.mllib.linalg.CholeskyDecomposition$.solve(CholeskyDecomposition.scala:42)
        at 
org.apache.spark.ml.optim.WeightedLeastSquares.fit(WeightedLeastSquares.scala:117)
        at 
org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:180)
        at 
org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:67)
        at org.apache.spark.ml.Predictor.fit(Predictor.scala:90)
{code}


> WLS can not resolve some kinds of equation
> ------------------------------------------
>
>                 Key: SPARK-11918
>                 URL: https://issues.apache.org/jira/browse/SPARK-11918
>             Project: Spark
>          Issue Type: Bug
>          Components: ML
>            Reporter: Yanbo Liang
>         Attachments: R_GLM_output
>
>
> Weighted Least Squares (WLS) is one of the optimization method for solve 
> Linear Regression (when #feature < 4096). But if the dataset is very ill 
> condition (such as 0-1 based label used for classification and the equation 
> is underdetermined), the WLS failed (But "l-bfgs" can train and get the 
> model). The failure is caused by the underneath lapack library return error 
> value when Cholesky decomposition.
> This issue is easy to reproduce, you can train a LinearRegressionModel by 
> "normal" solver with the example 
> dataset(https://github.com/apache/spark/blob/master/data/mllib/sample_libsvm_data.txt).
>  The following is the exception:
> {code}
> assertion failed: lapack.dpotrs returned 1.
> java.lang.AssertionError: assertion failed: lapack.dpotrs returned 1.
>       at scala.Predef$.assert(Predef.scala:179)
>       at 
> org.apache.spark.mllib.linalg.CholeskyDecomposition$.solve(CholeskyDecomposition.scala:42)
>       at 
> org.apache.spark.ml.optim.WeightedLeastSquares.fit(WeightedLeastSquares.scala:117)
>       at 
> org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:180)
>       at 
> org.apache.spark.ml.regression.LinearRegression.train(LinearRegression.scala:67)
>       at org.apache.spark.ml.Predictor.fit(Predictor.scala:90)
> {code}



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