Deep Learning Libraries by Language

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Python

Theano is a python library for defining and evaluating mathematical expressions with numerical arrays.

Keras is a minimalist, highly modular neural network library in the spirit of Torch, written in Python, that uses Theano under the hood for optimized tensor manipulation on GPU and CPU.

Pylearn2 is a library that wraps a lot of models and training algorithms such as Stochastic Gradient Descent that are commonly used in Deep Learning.

Caffe is a deep learning framework made with expression, speed, and modularity in mind.

nolearn contains a number of wrappers and abstractions around existing neural network libraries, most notably Lasagne, along with a few machine learning utility modules.

Gensim is deep learning toolkit implemented in python programming language intended for handling large text collections, using efficient algorithms.

deepnet is a GPU-based python implementation of deep learning algorithms like Feed-forward Neural Nets, Restricted Boltzmann Machines, Deep Belief Nets, Autoencoders, Deep Boltzmann Machines and Convolutional Neural Nets.

Hebel is a library for deep learning with neural networks in Python using GPU acceleration with CUDA through PyCUDA.

Matlab

ConvNet Convolutional neural net is a type of deep learning classification algorithms, that can learn useful features from raw data by themselves and is performed by tuning its weighs.
DeepLearnToolBox is a matlab/octave toolbox for deep learning and includes Deep Belief Nets, Stacked Autoencoders, convolutional neural nets.
cuda-convnet is a fast C++/CUDA implementation of convolutional (or more generally, feed-forward) neural networks. It can model arbitrary layer connectivity and network depth. Any directed acyclic graph of layers will do. Training is done using the backpropagation algorithm.
MatConvNet is a MATLAB toolbox implementing Convolutional Neural Networks (CNNs) for computer vision applications. It is simple, efficient, and can run and learn state-of-the-art CNNs

CPP

eblearn is an open-source C++ library of machine learning by New York University’s machine learning lab, led by Yann LeCun.
SINGA is designed to be general to implement the distributed training algorithms of existing systems.
NVIDIA DIGITS is a new system for developing, training and visualizing deep neural networks.
Intel® Deep Learning Framework provides a unified framework for Intel® platforms accelerating Deep Convolutional Neural Networks.

Java

N-Dimensional Arrays for Java (ND4J)is scientific computing libraries for the JVM.
Deeplearning4j is the first commercial-grade, open-source, distributed deep-learning library written for Java and Scala.
Encog is an advanced machine learning framework which supports Support Vector Machines,Artificial Neural Networks, Genetic Programming, Bayesian Networks, Hidden Markov Models, Genetic Programming and Genetic Algorithms are supported.

JavaScript

Convnet.js is a Javascript library for training Deep Learning models (mainly Neural Networks) entirely in a browser.

Lua

Torch is a scientific computing framework with wide support for machine learning algorithms.

Julia

Mocha is a Deep Learning framework for Julia, inspired by the C++ framework Caffe.

Lisp

Lush(Lisp Universal Shell) is an object-oriented programming language designed for researchers, experimenters, and engineers interested in large-scale numerical and graphic applications.

Haskell