arXiv 2101.104862021-01-26cs.LO

具有相关模态的Lambek演算的范畴向量空间语义（扩展摘要）

Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality (Extended Abstract)

Lachlan McPheat, Mehrnoosh Sadrzadeh, Hadi Wazni, Gijs Wijnholds

备注：: In Proceedings ACT 2020, arXiv:2101.07888. arXiv admin note: substantial text overlap with arXiv:2005.03074
发表信息：: EPTCS 333, 2021, pp. 168-182
DOI：: 10.4204/EPTCS.333.12

摘要：

我们开发了一个有相关模态的Lambek演算的分类成分分布语义，它具有有限版本的压缩和排列规则。语义学的范畴部分是一个monoidal双闭范畴，其上有一个定义在微分范畴上的余代数模态。我们实例化这一类有限维向量空间和线性映射，通过量化函子和工作与三个具体的解释的余代数模态。我们应用该模型来构建分类和具体的语义解释的动机的例子，这个扩展演算：派生的短语与寄生的差距。具体解释的有效性通过消歧任务进行评估，在将句子消歧数据集扩展到寄生间隙短语上，使用BERT，Word2Vec和FastText向量和关系张量

英文摘要：

We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality, which has a limited version of the contraction and permutation rules. The categorical part of the semantics is a monoidal biclosed category with a coalgebra modality as defined on Differential Categories. We instantiate this category to finite dimensional vector spaces and linear maps via quantisation functors and work with three concrete interpretations of the coalgebra modality. We apply the model to construct categorical and concrete semantic interpretations for the motivating example of this extended calculus: the derivation of a phrase with a parasitic gap. The effectiveness of the concrete interpretations are evaluated via a disambiguation task, on an extension of a sentence disambiguation dataset to parasitic gap phrases, using BERT, Word2Vec, and FastText vectors and Relational tensors

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。

摘要：

英文摘要：

相关论文