Скачать или смотреть Bob Coecke: "Dual Density Operators and Natural Language Meaning"

Talk given at the Workshop on Semantic Spaces at the Intersection of NLP, Physics and Cognitive Science 2016: https://www.sites.google.com/site/sem...
Slides: https://sites.google.com/site/semspwo...

Abstract: Density operators allow for representing ambiguity about a vector representation of systems, both in quantum theory and in distributional natural language meaning. Equivalently, they allow for discarding part of the description of a composite system, where we consider the discarded part to be the environment, or context. We introduce dual density operators, which allow for two independent notions of context, and two corresponding discarding operations. By means of a toy example, we show that dual density operators can be used to represent both ambiguity about word meanings as well as lexical entailment, within a grammatical-compositional distributional framework for natural language meaning. Based on the corresponding category-theoretic construction of dual density operators, we axiomatically describe the two independent notions of context.