zhengruifeng commented on pull request #28458:
URL: https://github.com/apache/spark/pull/28458#issuecomment-624427337


   performace test on the first 10,000 instances of 
`webspam_wc_normalized_trigram`
   
   code:
   ```scala
   val df = spark.read.option("numFeatures", 
"8289919").format("libsvm").load("/data1/Datasets/webspam/webspam_wc_normalized_trigram.svm.10k").withColumn("label",
 (col("label")+1)/2)
   df.persist(StorageLevel.MEMORY_AND_DISK)
   df.count
   
   val lr = new LogisticRegression().setBlockSize(1).setMaxIter(10)
   lr.fit(df)
   
   val results = Seq(1, 4, 16, 64, 256, 1024, 4096).map { size => val start = 
System.currentTimeMillis; val model = lr.setBlockSize(size).fit(df); val end = 
System.currentTimeMillis; (size, model.coefficients, end - start) }
   ```
   
   results:
   ```
   scala> results.map(_._3)
   res17: Seq[Long] = List(33948, 425923, 129811, 56288, 47587, 42816, 39809)
   
   
   scala> results.map(_._2).foreach(coef => println(coef.toString.take(100)))
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
(8289919,[549219,551719,592137,592138,592141,592154,592160,592162,592163,592164,592166,592167,592168
   
   scala> results.map(_._2).foreach(coef => 
println(coef.toString.takeRight(100)))
   
87,-1188.1053920127556,335.5565308836645,-135.79302172669907,849.0515530033497,-27.040836637047736])
   
91,-1188.105392012755,335.55653088366444,-135.79302172669907,849.0515530033497,-27.040836637047736])
   
9,-1188.1053920127551,335.55653088366444,-135.79302172669904,849.0515530033495,-27.040836637047725])
   
94,-1188.1053920127556,335.55653088366444,-135.79302172669904,849.0515530033495,-27.04083663704773])
   
1,-1188.1053920127551,335.55653088366444,-135.79302172669904,849.0515530033493,-27.040836637047722])
   
5,-1188.1053920127556,335.55653088366444,-135.79302172669904,849.0515530033495,-27.040836637047736])
   
29,-1188.105392012756,335.55653088366444,-135.79302172669904,849.0515530033495,-27.040836637047736])
   ```
   
   **blockSize==1**
   
![lr_sparse_1](https://user-images.githubusercontent.com/7322292/81136686-e8acfb00-8f8e-11ea-9267-cf847b37eb81.png)
   
   **blockSize=16**
   
![lr_sparse_16](https://user-images.githubusercontent.com/7322292/81136711-f19dcc80-8f8e-11ea-990a-7b8fe32d81d9.png)
   
   
   
   test with **Master**:
   ```
   import org.apache.spark.ml.classification._
   import org.apache.spark.storage.StorageLevel
   
   val df = spark.read.option("numFeatures", 
"8289919").format("libsvm").load("/data1/Datasets/webspam/webspam_wc_normalized_trigram.svm.10k").withColumn("label",
 (col("label")+1)/2)
   df.persist(StorageLevel.MEMORY_AND_DISK)
   df.count
   
   val lr = new LogisticRegression().setMaxIter(10)
   lr.fit(df)
   
   val start = System.currentTimeMillis; val model = lr.setMaxIter(10).fit(df); 
val end = System.currentTimeMillis; end - start
   
   
   
   scala> val start = System.currentTimeMillis; val model = 
lr.setMaxIter(10).fit(df); val end = System.currentTimeMillis; end - start
   start: Long = 1588735447883                                                  
   
   model: org.apache.spark.ml.classification.LogisticRegressionModel = 
LogisticRegressionModel: uid=logreg_99d29a0ecc13, numClasses=2, 
numFeatures=8289919
   end: Long = 1588735483170
   res3: Long = 35287
   ```
   In this PR, when blockSize==1, the duration is 33948, so there will be no 
performance regression on sparse datasets.
   


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