arXiv:2608.15325cs.CLcs.AI2026-08

用逻辑嵌入替代传统词嵌入,更好捕捉论点语义结构。

Logical Embeddings for Argument Analysis

论文配图:Logical Embeddings for Argument Analysis
图 1 · 摘自论文原文
  • 以数学逻辑构建相似性度量,实现论点间可解释的语义距离
  • 在分类任务中超越多数标准嵌入方法,且信息无损
  • 适合需要精准推理与可解释性的论点分析场景

我们提出一种面向机器学习的论点分析新框架。该框架将传统NLP任务中使用的上下文词嵌入替换为逻辑嵌入,直接利用论点结构进行编码。逻辑嵌入捕获论点的逻辑语义,支持基于数学逻辑的相似性度量,该度量具有透明的接近性定义,并满足若干理想理论性质,而现有基于余弦相似性的上下文词嵌入无法保证。该相似性度量在论点集合上诱导出一个正半定核,依据再生核希尔伯特空间(RKHS)理论,可唯一定义逻辑嵌入。我们证明该编码是最优的,即过程中不丢失任何逻辑信息。如同其他RKHS应用,逻辑嵌入可用于多种有监督和无监督任务。我们实现了该方法,并计划在文献基准上测试。此外,我们在分类任务中验证其表现优于多数标准嵌入方法。

原文摘要 · Abstract (English)

We propose a new framework for machine-learning-oriented argument analysis tasks. Our proposal involves replacing traditional contextualized word embeddings used in most NLP tasks with logical embeddings, an alternative encoding that directly exploits argumentation structures. In essence, logical embeddings encapsulate the logical semantics of an argument, allowing for a better representation of its meaning. Supporting these embeddings is a mathematical logic-based similarity measure that offers a transparent notion of proximity and is guaranteed to satisfy several desirable theoretical properties that current cosine similarity-based contextualized word embeddings cannot assure. This similarity measure induces a positive semi-definite kernel on the set of arguments, enabling us to uniquely define logical embeddings using the theory of Reproducing Kernel Hilbert Spaces (RKHS). Moreover, we prove that this encoding is optimal, in the sense that no logical information is lost in the process. As with other RKHS applications, logical embeddings can be used in numerous supervised and unsupervised tasks. We provide an implementation of the method and aim to test it against literature benchmarks. Additionally, we demonstrate that logical embeddings outperform most standard embedding methods on a classification task.

论点分析逻辑嵌入可解释性

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。