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.
Keras - Keras is a minimalist, modular neural networks library, written in Python and capable of running on top of either TensorFlow or Theano.
TFlearn - TFlearn is a modular and transparent deep learning library built on top of Tensorflow.
Floyd - Heroku for deep learning
Clarifai - The World's AI
Deeplearning4j - Deeplearning4j is an open-source, distributed deep-learning library written for Java and Scala.