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Here is a link of an open source project. http://cmusphinx.sourceforge.net/

Wit and CMU Sphinx are friends with benefits :)

Wit leverages several speech engines, including Sphinx.

And Sphinx speech-to-text users can send text to Wit to do Natural Language Understanding (turn text into actionable data).

Does Wit also use the fragments of speech that get sent over the API as a dataset for training Sphinx?

Yes!