Language as a matrix product state
This work addresses the problem of developing a novel statistical framework for natural language processing, potentially offering a new theoretical approach, but it appears incremental as it builds on existing concepts like matrix product states without clear application or validation.
The authors tackled the problem of modeling natural language statistically by proposing a model that treats language as a monoid and represents it in complex matrices with a translation-invariant probability measure, interpreting this measure as arising from a translation-invariant matrix product state via the Born rule.
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.