Theano is a Python library that allows you to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently. Theano features:

• tight integration with NumPy -- Use numpy.ndarray in Theano-compiled functions.
• transparent use of a GPU -- Perform data-intensive calculations up to 140x faster than with CPU.(float32 only)
• efficient symbolic differentiation -- Theano does your derivatives for function with one or many inputs.
• speed and stability optimizations -- Get the right answer for log(1+x) even when x is really tiny.
• dynamic C code generation -- Evaluate expressions faster.
• extensive unit-testing and self-verification -- Detect and diagnose many types of mistake.

Theano has been powering large-scale computationally intensive scientific investigations since 2007. But it is also approachable enough to be used in the classroom (IFT6266 at the University of Montreal).