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arXiv 1608.01401cs.CLcs.LOquant-ph
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对偶密度算子与自然语言意义

Dual Density Operators and Natural Language Meaning

University of Oxford(牛津大学)

Daniela Ashoush, Bob Coecke

摘要:

密度算子允许在量子理论和分布自然语言意义中表示关于向量表示的歧义。形式上等价地,它们允许丢弃组合系统的部分描述,我们将丢弃的部分视为上下文。我们引入双密度算子,它允许两个独立的概念的背景。我们演示了使用双密度算子的语法成分分布框架内的自然语言的意义。我们表明,双密度算子可以用来同时表示:(i)关于词义的歧义(例如,女王作为一个人与女王作为一个乐队),和(ii)词汇蕴涵(例如,老虎->哺乳动物)。我们提供了一个概念验证示例。

英文摘要:

Density operators allow for representing ambiguity about a vector representation, both in quantum theory and in distributional natural language meaning. Formally equivalently, they allow for discarding part of the description of a composite system, where we consider the discarded part to be the context. We introduce dual density operators, which allow for two independent notions of context. We demonstrate the use of dual density operators within a grammatical-compositional distributional framework for natural language meaning. We show that dual density operators can be used to simultaneously represent: (i) ambiguity about word meanings (e.g. queen as a person vs. queen as a band), and (ii) lexical entailment (e.g. tiger -> mammal). We provide a proof-of-concept example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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