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Functorial Language Models

Published 26 Mar 2021 in cs.CL and math.CT | (2103.14411v1)

Abstract: We introduce functorial LLMs: a principled way to compute probability distributions over word sequences given a monoidal functor from grammar to meaning. This yields a method for training categorical compositional distributional (DisCoCat) models on raw text data. We provide a proof-of-concept implementation in DisCoPy, the Python toolbox for monoidal categories.

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