论文标题

辩论性拓扑:逻辑中的循环(孔)

Argumentative Topology: Finding Loop(holes) in Logic

论文作者

Tymochko, Sarah, New, Zachary, Bynum, Lucius, Purvine, Emilie, Doster, Timothy, Chaput, Julien, Emerson, Tegan

论文摘要

自然语言处理的进步导致对多个任务的能力提高。观察到的性能提升的可能原因之一是引入日益复杂的文本表示。尽管可以显示许多新单词嵌入技术以捕获情感或关联结构的特定概念,但我们探索了两个不同单词嵌入的能力,可以揭示或捕获文本中逻辑形状的概念。为此,我们提出了一个新颖的框架,我们称之为拓扑单词嵌入,该框架在动态系统分析和数据驱动形状提取(即拓扑数据分析)中利用数学技术。在这项初步工作中,我们表明,使用拓扑延迟嵌入,我们能够捕获和提取旨在回答“我们可以在圆形论点中找到一个圆圈的圈子的逻辑概念?”

Advances in natural language processing have resulted in increased capabilities with respect to multiple tasks. One of the possible causes of the observed performance gains is the introduction of increasingly sophisticated text representations. While many of the new word embedding techniques can be shown to capture particular notions of sentiment or associative structures, we explore the ability of two different word embeddings to uncover or capture the notion of logical shape in text. To this end we present a novel framework that we call Topological Word Embeddings which leverages mathematical techniques in dynamical system analysis and data driven shape extraction (i.e. topological data analysis). In this preliminary work we show that using a topological delay embedding we are able to capture and extract a different, shape-based notion of logic aimed at answering the question "Can we find a circle in a circular argument?"

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