arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.02296cs.FLcs.AIcs.LO

Incremental Monoidal Grammars

University of Oxford(牛津大学);UCL(伦敦大学学院)

Dan Shiebler, Alexis Toumi, Mehrnoosh Sadrzadeh

英文摘要:

In this work we define formal grammars in terms of free monoidal categories, along with a functor from the category of formal grammars to the category of automata. Generalising from the Booleans to arbitrary semirings, we extend our construction to weighted formal grammars and weighted automata. This allows us to link the categorical viewpoint on natural language to the standard machine learning notion of probabilistic language model.

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