Keras - Keras is a minimalist, modular neural networks library, written in Python and capable of running on top of either TensorFlow or Theano.
TensorFlow - TensorFlow is an open-source machine learning framework designed and published by Google. It tracks data flow graphs over time. Nodes in the data flow graphs represent machine learning algorithms. Read more about TensorFlow.
TFlearn - TFlearn is a modular and transparent deep learning library built on top of Tensorflow.
Clarifai - The World's AI
Floyd - Heroku for deep learning
Microsoft Cognitive Toolkit (Formerly CNTK) - Machine Learning