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arXiv 2501.03670cs.CLcs.AI

面向实用数学应用题求解的多样性增强知识蒸馏模型

A Diversity-Enhanced Knowledge Distillation Model for Practical Math Word Problem Solving

Faculty of Artificial Intelligence in Education, Central China Normal University(华中师范大学教育人工智能学院);School of Information and Safety Engineering, Zhongnan University of Economics and Law(中南财经政法大学信息与安全工程学院);School of Computer, Central China Normal University(华中师范大学计算机学院);Information Retrieval and Knowledge Management Research Lab, York University(约克大学信息检索与知识管理研究实验室)

Yi Zhang, Guangyou Zhou, Zhiwen Xie, Jinjin Ma, Jimmy Xiangji Huang

AI总结:

针对 Seq2Seq 类 MWP 求解器难以生成多样等价方程的问题,提出 DivKD,通过自适应知识蒸馏和条件变分自编码器增强学生模型,在四个基准上提升准确率且保持高效。

摘要:

数学应用题(Math Word Problem,MWP)求解是自然语言处理中的一项关键任务,近年来已引起广泛研究兴趣。近期的各类研究严重依赖 Seq2Seq 模型及其扩展模型(例如 Seq2Tree 和 Graph2Tree)来生成数学方程。这些模型虽然有效,却难以生成多样且等价的求解方程,从而限制了其在各种数学问题场景中的泛化能力。本文提出一种用于实用 MWP 求解的新型多样性增强知识蒸馏(Diversity-enhanced Knowledge Distillation,DivKD)模型。该方法提出自适应多样性蒸馏机制,使学生模型通过有选择地迁移来自教师模型的高质量知识来学习多样方程。此外,我们设计了多样性先验增强的学生模型,通过引入条件变分自编码器来更好地捕捉方程的多样性分布。在四个 MWP 基准数据集上进行的大量实验表明,与强基线方法相比,本文方法取得了更高的答案准确率,同时为实际应用保持了较高效率。

英文摘要:

Math Word Problem (MWP) solving is a critical task in natural language processing, has garnered significant research interest in recent years. Various recent studies heavily rely on Seq2Seq models and their extensions (e.g., Seq2Tree and Graph2Tree) to generate mathematical equations. While effective, these models struggle to generate diverse but counterpart solution equations, limiting their generalization across various math problem scenarios. In this paper, we introduce a novel Diversity-enhanced Knowledge Distillation (DivKD) model for practical MWP solving. Our approach proposes an adaptive diversity distillation method, in which a student model learns diverse equations by selectively transferring high-quality knowledge from a teacher model. Additionally, we design a diversity prior-enhanced student model to better capture the diversity distribution of equations by incorporating a conditional variational auto-encoder. Extensive experiments on {four} MWP benchmark datasets demonstrate that our approach achieves higher answer accuracy than strong baselines while maintaining high efficiency for practical applications.

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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