Machine Learning is a rapidly evolving field with libraries ebbing and flowing through an endless pipeline of research. The following links provides a curated list of libraries across multiple languages.
awesome machine learning
the best machine learning libraries in python
machine learning libraries
Big Data
awesome bigdata
big data list
Current Apache Big Data Projects:
Apache Airavata
Apache Ambari
Apache Avro
Apache Bigtop
Apache BookKeeper
Apache Crunch
Apache DataFu (Incubating)
Apache DirectMemory (in the Attic)
Apache Drill
Apache Falcon
Apache Flink
Apache Flume
Apache Giraph
Apache Hama
Apache Helix
Apache Ignite
Apache Kafka
Apache Knox
Apache MetaModel
Apache Oozie
Apache ORC
Apache Parquet
Apache Phoenix
Apache REEF
Apache Samza
Apache Spark
Apache Sqoop
Apache Storm
Apache Tajo
Apache Tez
Apache VXQuery