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IBM's SystemML Machine Learning

ckadner
ckadner
pushedAt 1 year ago

ckadner/systemml

SystemML

SystemML is a flexible, scalable machine learning (ML) language written in Java. SystemML's distinguishing characteristics are: (1) algorithm customizability, (2) multiple execution modes, including Standalone, Hadoop Batch, and Spark Batch, and (3) automatic optimization.

The latest documentation can be found at the SystemML Documentation web site.

Algorithm Customizability

ML algorithms in SystemML are specified in a high-level, declarative machine learning (DML) language. Algorithms can be expressed in either an R-like syntax or a Python-like syntax. DML includes linear algebra primitives, statistical functions, and additional constructs.

This high-level language significantly increases the productivity of data scientists as it provides (1) full flexibility in expressing custom analytics and (2) data independence from the underlying input formats and physical data representations.

Multiple Execution Modes

SystemML computations can be executed in a variety of different modes. To begin with, SystemML can be operated in Standalone mode on a single machine, allowing data scientists to develop algorithms locally without need of a distributed cluster. Algorithms can be distributed across Hadoop or Spark. This flexibility allows the utilization of an organization's existing resources and expertise. In addition, SystemML can be operated via Java, Scala, and Python. SystemML also features an embedded API for scoring models.

Automatic Optimization

Algorithms specified in DML are dynamically compiled and optimized based on data and cluster characteristics using rule-based and cost-based optimization techniques. The optimizer automatically generates hybrid runtime execution plans ranging from in-memory single-node execution to distributed computations on Spark or Hadoop. This ensures both efficiency and scalability. Automatic optimization reduces or eliminates the need to hand-tune distributed runtime execution plans and system configurations.


Building SystemML

SystemML is built using Apache Maven. SystemML will build on Windows, Linux, or MacOS and requires Maven 3 and Java 7 (or higher). To build SystemML, run:

mvn clean package

Testing SystemML

SystemML features a comprehensive set of integration tests. To perform these tests, run:

cd system-ml
mvn verify 

Note: these tests require R to be installed and available as part of the PATH variable on the machine on which you are running these tests.

If required, please install the following packages in R:

install.packages(c("batch", "bitops", "boot", "caTools", "data.table", "doMC", "doSNOW", "ggplot2", "glmnet", "lda", "Matrix", "matrixStats", "moments", "plotrix", "psych", "reshape", "topicmodels", "wordcloud"), dependencies=TRUE) 

Running SystemML in Standalone Mode

SystemML can run in distributed mode as well as in local standalone mode. We'll operate in standalone mode in this guide. After you built SystemML from source (mvn clean package) the standalone mode can be executed either on Mac/Unix using the ./bin/systemml script or on Windows using the .\bin\systemml.bat batch file.

If you run from the script from the project root folder ./ or from the ./bin folder, then the output files from running SystemML will be created inside the ./temp folder to keep them separate from the SystemML source files managed by Git. The output files for all of the examples in this guide will be created under the ./temp folder.

The runtime behavior and logging behavior of SystemML can be customized by editing the files ./conf/SystemML-config.xml and ./conf/log4j.properties. Both files will be created from their corresponding *.template files during the first execution of the SystemML executable script.

When invoking the ./bin/systemml or .\bin\systemml.bat with any of the prepackaged DML scripts you can omit the relative path to the DML script file. The following two commands are equivalent:

./bin/systemml ./system-ml/scripts/datagen/genLinearRegressionData.dml -nvargs numSamples=1000 numFeatures=50 maxFeatureValue=5 maxWeight=5 addNoise=FALSE b=0 sparsity=0.7 output=linRegData.csv format=csv perc=0.5

./bin/systemml genLinearRegressionData.dml -nvargs numSamples=1000 numFeatures=50 maxFeatureValue=5 maxWeight=5 addNoise=FALSE b=0 sparsity=0.7 output=linRegData.csv format=csv perc=0.5

In this guide we invoke the command with the relative folder to make it easier to look up the source of the DML scripts.


Algorithms

SystemML features a suite of algorithms that can be grouped into five broad categories: Descriptive Statistics, Classification, Clustering, Regression, and Matrix Factorization. Detailed descriptions of these algorithms can be found in the Algorithm Reference packaged with SystemML.


Linear Regression Example

As an example of the capabilities and power of SystemML and DML, let's consider the Linear Regression algorithm. We require sets of data to train and test our model. To obtain this data, we can either use real data or generate data for our algorithm. The UCI Machine Learning Repository Datasets is one location for real data. Use of real data typically involves some degree of data wrangling. In the following example, we will use SystemML to generate random data to train and test our model.

This example consists of the following parts:

SystemML is distributed in several packages, including a standalone package. We'll operate in Standalone mode in this example.

Run DML Script to Generate Random Data

We can execute the genLinearRegressionData.dml script in Standalone mode using either the systemml or systemml.bat file. In this example, we'll generate a matrix of 1000 rows of 50 columns of test data, with sparsity 0.7. In addition to this, a 51st column consisting of labels will be appended to the matrix.

./bin/systemml ./system-ml/scripts/datagen/genLinearRegressionData.dml -nvargs numSamples=1000 numFeatures=50 maxFeatureValue=5 maxWeight=5 addNoise=FALSE b=0 sparsity=0.7 output=linRegData.csv format=csv perc=0.5

This generates the following files inside the ./temp folder:

linRegData.csv      # 1000 rows of 51 columns of doubles (50 data columns and 1 label column), csv format
linRegData.csv.mtd  # metadata file

Divide Generated Data into Two Sample Groups

Next, we'll create two subsets of the generated data, each of size ~50%. We can accomplish this using the sample.dml script. This script will randomly sample rows from the linRegData.csv file and place them into 2 files.

To do this, we need to create a csv file for the sv named argument (see sample.dml for more details), which I called perc.csv. This file was generated in previous step and looks like:

0.5
0.5

This will create two sample groups of roughly 50 percent each.

Now, the sample.dml script can be run.

./bin/systemml ./system-ml/scripts/utils/sample.dml -nvargs X=linRegData.csv sv=perc.csv O=linRegDataParts ofmt=csv

This script creates two partitions of the original data and places them in a linRegDataParts folder. The files created are as follows:

linRegDataParts/1       # first partition of data, ~50% of rows of linRegData.csv, csv format
linRegDataParts/1.mtd   # metadata
linRegDataParts/2       # second partition of data, ~50% of rows of linRegData.csv, csv format
linRegDataParts/2.mtd   # metadata

The 1 file contains the first partition of data, and the 2 file contains the second partition of data. An associated metadata file describes the nature of each partition of data. If we open 1 and 2 and look at the number of rows, we can see that typically the partitions are not exactly 50% but instead are close to 50%. However, we find that the total number of rows in the original data file equals the sum of the number of rows in 1 and 2.

Split Label Column from First Sample

The next task is to split the label column from the first sample. We can do this using the splitXY.dml script.

./bin/systemml ./system-ml/scripts/utils/splitXY.dml -nvargs X=linRegDataParts/1 y=51 OX=linRegData.train.data.csv OY=linRegData.train.labels.csv ofmt=csv

This splits column 51, the label column, off from the data. When done, the following files have been created.

linRegData.train.data.csv        # training data of 50 columns, csv format
linRegData.train.data.csv.mtd    # metadata
linRegData.train.labels.csv      # training labels of 1 column, csv format
linRegData.train.labels.csv.mtd  # metadata

Split Label Column from Second Sample

We also need to split the label column from the second sample.

./bin/systemml ./system-ml/scripts/utils/splitXY.dml -nvargs X=linRegDataParts/2 y=51 OX=linRegData.test.data.csv OY=linRegData.test.labels.csv ofmt=csv

This splits column 51 off the data, resulting in the following files:

linRegData.test.data.csv        # test data of 50 columns, csv format
linRegData.test.data.csv.mtd    # metadata
linRegData.test.labels.csv      # test labels of 1 column, csv format
linRegData.test.labels.csv.mtd  # metadata

Train Model on First Sample

Now, we can train our model based on the first sample. To do this, we utilize the LinearRegDS.dml (Linear Regression Direct Solve) script. Note that SystemML also includes a LinearRegCG.dml (Linear Regression Conjugate Gradient) algorithm for situations where the number of features is large.

./bin/systemml ./system-ml/scripts/algorithms/LinearRegDS.dml -nvargs X=linRegData.train.data.csv Y=linRegData.train.labels.csv B=betas.csv fmt=csv

This will generate the following files:

betas.csv      # betas, 50 rows of 1 column, csv format
betas.csv.mtd  # metadata

The LinearRegDS.dml script generates statistics to standard output similar to the following.

BEGIN LINEAR REGRESSION SCRIPT
Reading X and Y...
Calling the Direct Solver...
Computing the statistics...
AVG_TOT_Y,-2.160284487670675
STDEV_TOT_Y,66.86434576808432
AVG_RES_Y,-3.3127468704080085E-10
STDEV_RES_Y,1.7231785003947183E-8
DISPERSION,2.963950542926297E-16
PLAIN_R2,1.0
ADJUSTED_R2,1.0
PLAIN_R2_NOBIAS,1.0
ADJUSTED_R2_NOBIAS,1.0
PLAIN_R2_VS_0,1.0
ADJUSTED_R2_VS_0,1.0
Writing the output matrix...
END LINEAR REGRESSION SCRIPT

Now that we have our betas.csv, we can test our model with our second set of data.

Test Model on Second Sample

To test our model on the second sample, we can use the GLM-predict.dml script. This script can be used for both prediction and scoring. Here, we're using it for scoring since we include the Y named argument. Our betas.csv file is specified as the B named argument.

./bin/systemml ./system-ml/scripts/algorithms/GLM-predict.dml -nvargs X=linRegData.test.data.csv Y=linRegData.test.labels.csv B=betas.csv fmt=csv

This generates the following statistics to standard output.

LOGLHOOD_Z,,FALSE,NaN
LOGLHOOD_Z_PVAL,,FALSE,NaN
PEARSON_X2,,FALSE,1.895530994504798E-13
PEARSON_X2_BY_DF,,FALSE,4.202951207327712E-16
PEARSON_X2_PVAL,,FALSE,1.0
DEVIANCE_G2,,FALSE,0.0
DEVIANCE_G2_BY_DF,,FALSE,0.0
DEVIANCE_G2_PVAL,,FALSE,1.0
LOGLHOOD_Z,,TRUE,NaN
LOGLHOOD_Z_PVAL,,TRUE,NaN
PEARSON_X2,,TRUE,1.895530994504798E-13
PEARSON_X2_BY_DF,,TRUE,4.202951207327712E-16
PEARSON_X2_PVAL,,TRUE,1.0
DEVIANCE_G2,,TRUE,0.0
DEVIANCE_G2_BY_DF,,TRUE,0.0
DEVIANCE_G2_PVAL,,TRUE,1.0
AVG_TOT_Y,1,,1.0069397725436522
STDEV_TOT_Y,1,,68.29092137526905
AVG_RES_Y,1,,-4.1450397073455047E-10
STDEV_RES_Y,1,,2.0519206226041048E-8
PRED_STDEV_RES,1,TRUE,1.0
PLAIN_R2,1,,1.0
ADJUSTED_R2,1,,1.0
PLAIN_R2_NOBIAS,1,,1.0
ADJUSTED_R2_NOBIAS,1,,1.0

We see that the STDEV_RES_Y value of the testing phase is of similar magnitude to the value obtained from the model training phase.

For convenience, we can encapsulate our DML invocations in a single script:

#!/bin/bash

./bin/systemml ./system-ml/scripts/datagen/genLinearRegressionData.dml -nvargs numSamples=1000 numFeatures=50 maxFeatureValue=5 maxWeight=5 addNoise=FALSE b=0 sparsity=0.7 output=linRegData.csv format=csv perc=0.5

./bin/systemml ./system-ml/scripts/utils/sample.dml -nvargs X=linRegData.csv sv=perc.csv O=linRegDataParts ofmt=csv

./bin/systemml ./system-ml/scripts/utils/splitXY.dml -nvargs X=linRegDataParts/1 y=51 OX=linRegData.train.data.csv OY=linRegData.train.labels.csv ofmt=csv

./bin/systemml ./system-ml/scripts/utils/splitXY.dml -nvargs X=linRegDataParts/2 y=51 OX=linRegData.test.data.csv OY=linRegData.test.labels.csv ofmt=csv

./bin/systemml ./system-ml/scripts/algorithms/LinearRegDS.dml -nvargs X=linRegData.train.data.csv Y=linRegData.train.labels.csv B=betas.csv fmt=csv

./bin/systemml ./system-ml/scripts/algorithms/GLM-predict.dml -nvargs X=linRegData.test.data.csv Y=linRegData.test.labels.csv B=betas.csv fmt=csv

In this example, we've seen a small part of the capabilities of SystemML. For more detailed information, please consult the SystemML Algorithm Reference and SystemML Language Reference.

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