Apache SystemDS. Apache SystemDS (Previously, Apache SystemML) is an open source ML system for the end-to-end data science lifecycle. 

SystemDS's distinguishing characteristics are:

 Algorithm customizability via R-like and Python-like languages.
 Multiple execution modes, including Standalone, Spark Batch, Spark MLContext, Hadoop Batch, and JMLC.
 Automatic optimization based on data and cluster characteristics to ensure both efficiency and scalability.

History
SystemML was created in 2010 by researchers at the IBM Almaden Research Center led by IBM Fellow Shivakumar Vaithyanathan. It was observed that data scientists would write machine learning algorithms in languages such as R and Python for small data. When it came time to scale to big data, a systems programmer would be needed to scale the algorithm in a language such as Scala. This process typically involved days or weeks per iteration, and errors would occur translating the algorithms to operate on big data. SystemML seeks to simplify this process. A primary goal of SystemML is to automatically scale an algorithm written in an R-like or Python-like language to operate on big data, generating the same answer without the error-prone, multi-iterative translation approach.

On June 15, 2015, at the Spark Summit in San Francisco, Beth Smith, General Manager of IBM Analytics, announced that IBM was open-sourcing SystemML as part of IBM's major commitment to Apache Spark and Spark-related projects. SystemML became publicly available on GitHub on August 27, 2015 and became an Apache Incubator project on November 2, 2015. On May 17, 2017, the Apache Software Foundation Board approved the graduation of Apache SystemML as an Apache Top Level Project.

Key technologies 
The following are some of the technologies built into the SystemDS engine.

 Compressed Linear Algebra for Large Scale Machine Learning
 Declarative Machine Learning Language

Examples

Principal Component Analysis 
The following code snippet does the Principal component analysis of input matrix  , which returns the  and the .# PCA.dml
# Refer: https://github.com/apache/systemds/blob/master/scripts/algorithms/PCA.dml#L61

N = nrow(A);
D = ncol(A);

# perform z-scoring (centering and scaling)
A = scale(A, center==1, scale==1);

# co-variance matrix 
mu = colSums(A)/N;
C = (t(A) %*% A)/(N-1) - (N/(N-1))*t(mu) %*% mu;

# compute eigen vectors and values
[evalues, evectors] = eigen(C);

Invocation script 
spark-submit SystemDS.jar -f PCA.dml -nvargs INPUT=INPUT_DIR/pca-1000x1000 \
  OUTPUT=OUTPUT_DIR/pca-1000x1000-model PROJDATA=1 CENTER=1 SCALE=1

Database functions 
DBSCAN clustering algorithm with Euclidean distance.X = rand(rows=1780, cols=180, min=1, max=20) 
[indices, model] = dbscan(X = X, eps = 2.5, minPts = 360)

Improvements 
SystemDS 2.0.0 is the first major release under the new name. This release contains a major refactoring, a few major features, a large number of improvements and fixes, and some experimental features to better support the end-to-end data science lifecycle. In addition to that, this release also removes several features that are not up date and outdated.

 New mechanism for DML-bodied (script-level) builtin functions, and a wealth of new built-in functions for data preprocessing including data cleaning, augmentation and feature engineering techniques, new ML algorithms, and model debugging.
 Several methods for data cleaning have been implemented including multiple imputations with multivariate imputation by chained equations (MICE) and other techniques, SMOTE, an oversampling technique for class imbalance, forward and backward NA filling, cleaning using schema and length information, support for outlier detection using standard deviation and inter-quartile range, and functional dependency discovery.
 A complete framework for lineage tracing and reuse including support for loop deduplication, full and partial reuse, compiler assisted reuse, several new rewrites to facilitate reuse.
 New federated runtime backend including support for federated matrices and frames, federated builtins (transform-encode, decode etc.).
 Refactor compression package and add functionalities including quantization for lossy compression, binary cell operations, left matrix multiplication. [experimental]
 New python bindings with supports for several builtins, matrix operations, federated tensors and lineage traces.
 Cuda implementation of cumulative aggregate operators (cumsum, cumprod etc.)
 New model debugging technique with slice finder.
 New tensor data model (basic tensors of different value types, data tensors with schema) [experimental]
 Cloud deployment scripts for AWS and scripts to set up and start federated operations.
 Performance improvements with parallel sort, gpu cum agg, append cbind etc.
 Various compiler and runtime improvements including new and improved rewrites, reduced Spark context creation, new eval framework, list operations, updated native kernel libraries to name a few.
 New data reader/writer for json frames and support for sql as a data source.
 Miscellaneous improvements: improved documentation, better testing, run/release scripts, improved packaging, Docker container for systemds, support for lambda expressions, bug fixes.
 Removed MapReduce compiler and runtime backend, pydml parser, Java-UDF framework, script-level debugger.
 Deprecated ./scripts/algorithms, as those algorithms gradually will be part of SystemDS builtins.

Contributions 
Apache SystemDS welcomes contributions in code, question and answer, community building, or spreading the word. The contributor guide is available at https://github.com/apache/systemds/blob/main/CONTRIBUTING.md

See also
Comparison of deep learning software

References

External links
Apache SystemML website
IBM Research - SystemML
Q & A with Shiv Vaithyanathan, Creator of SystemML and IBM Fellow
A Universal Translator for Big Data and Machine Learning
SystemML: Declarative Machine Learning at Scale presentation by Fred Reiss
SystemML: Declarative Machine Learning on MapReduce 
Hybrid Parallelization Strategies for Large-Scale Machine Learning in SystemML
SystemML's Optimizer: Plan Generation for Large-Scale Machine Learning Programs
IBM's SystemML machine learning system becomes Apache Incubator project
IBM donates machine learning tech to Apache Spark open source community
IBM's SystemML Moves Forward as Apache Incubator Project

Cluster computing
Data mining and machine learning software
Hadoop
SystemML
Software using the Apache license
Java platform
Big data products
2015 software