Theano

Theano is an open source library of numerical computation for the Python programming language developed by a group of machine learning experts at the University of Montreal. In Theano, calculations are expressed using a syntax that is similar to NumPy's, and is compiled to perform efficiently on both CPU and GPU architectures.

It is named after a Greek mathematician, Theano of Crotone. Theano is a compiler for mathematical expressions written in Python. It allows defining, optimizing, and evaluating mathematical expressions, in particular those with multidimensional arrays. Using Theano, it is possible to achieve comparable speeds with C or C ++ applications for problems with large amounts of data. Theano combines aspects of a computer algebra system with aspects of an optimizing compiler. These characteristics are useful when complex mathematical expressions are evaluated repeatedly, and the evaluation speed is crucial. In the following screenshot, we can see the official home page of Theano:

It combines the convenience of the NumPy syntax with the speed of an optimized machine language. The user composes mathematical expressions in a high-level description that mimics the syntax and semantics of NumPy, even though it is statically typed. These expressions allow Theano to provide symbolic differentiation. Before performing the calculation, Theano optimizes the choice of expressions, translates them into C ++ (or CUDA for GPU), and automatically compiles them into dynamically loaded Python modules. The machine learning algorithms implemented with Theano are particularly fast.