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Language as a matrix product state

Published 4 Nov 2017 in cs.CL, cond-mat.dis-nn, cs.LG, cs.NE, and stat.ML | (1711.01416v1)

Abstract: We propose a statistical model for natural language that begins by considering language as a monoid, then representing it in complex matrices with a compatible translation invariant probability measure. We interpret the probability measure as arising via the Born rule from a translation invariant matrix product state.

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