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A Meaning-based Statistical English Math Word Problem Solver

机译:基于意义的统计英语数学词问题求解器

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摘要

We introduce MeSys, a meaning-based approach, for solving English math word problems (MWPs) via understanding and reasoning in this paper. It first analyzes the text, transforms both body and question parts into their corresponding logic forms, and then performs inference on them. The associated context of each quantity is represented with proposed role-tags (e.g., nsubj, verb, etc.), which provides the flexibility for annotating an extracted math quantity with its associated context information (i.e., the physical meaning of this quantity). Statistical models are proposed to select the operator and operands. A noisy dataset is designed to assess if a solver solves MWPs mainly via understanding or mechanical pattern matching. Experimental results show that our approach outperforms existing systems on both benchmark datasets and the noisy dataset, which demonstrates that the proposed approach understands the meaning of each quantity in the text more.
机译:我们通过本文的理解和推理来介绍基于意义的方法,以解决英语数学词问题(MWPS)。它首先分析了文本,将身体和问题部分转换为它们对应的逻辑表格,然后对它们进行推断。每个数量的相关上下文用所提出的角色标签(例如,nsubj,动词等)表示,这提供了利用其相关的上下文信息向提取的数学数量进行注释的灵活性(即,该数量的物理含义)。建议统计模型选择操作员和操作数。噪声数据集旨在评估求解器的原理,主要通过理解或机械模式匹配来解决MWP。实验结果表明,我们的方法优于两种基准数据集和嘈杂数据集的现有系统,这表明所提出的方法更加了解文本中的每种数量的含义。

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