Tong Family

Here are the big ones as covered in a survey article:

• Tensorflow. The newest one from Google. The biggest issue seems to be how this scales as Tensorflow is a single machine solution now. Google Brain is the a closed source scaled system.
• Torch. A great chance to learn lua and Facebook has open sourced their Torch tools
• Theano and it’s libraries. This is the oldest framework and is in Python.
• Caffe. Focused on computer vision and recognition.
• DL4J. Deep learning for java also work in Scala

There a zillion tutorials out there as well:

• MSDN on Machine learning and computer vision