Which deep learning framework adds support to the LuaJIT Library?

The correct answer is based on the relationship between the framework and the LuaJIT Library. Torch is a deep learning framework that was specifically designed to utilize Lua as its primary programming language, and it is built on top of the LuaJIT Library. LuaJIT is a Just-In-Time compiler for Lua, which significantly enhances the performance of applications developed in Lua. Due to this foundational aspect, Torch naturally integrates with LuaJIT, allowing for faster execution of deep learning models.

In contrast, TensorFlow, PyTorch, and Theano were developed primarily in Python and do not incorporate Lua or its associated libraries like LuaJIT. TensorFlow and PyTorch have become dominant frameworks in the deep learning community due to their extensive adoption and flexibility, but they do not relate to LuaJIT as Torch does. Theano is also a Python-based framework and, while it introduced significant innovations in deep learning, it does not include support for the LuaJIT Library. Thus, recognizing Torch's unique association with LuaJIT clarifies why it is the correct choice.