Solving General Arithmetic Word Problems

Solving General Arithmetic Word Problems
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DOI:
10.18653/v1/d15-1202
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发表时间:
2016-08
期刊:
ArXiv
影响因子:
--
通讯作者:
Subhro Roy;D. Roth
Subhro Roy;D. Roth
中科院分区:
其他
文献类型:
--
作者:
Subhro Roy;D. Roth

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本文提出了一种新的方法来自动解决算术应用题。这是第一个可以处理具有多个步骤和操作的算术问题的算法方法,而不依赖于额外的注释或预定义的模板。我们开发了一个理论的表达树,可用于表示和评估的目标算术表达式,我们用它来唯一地分解目标算术问题的多个分类问题,然后我们组成一个表达式树,结合这些与世界知识,通过一个约束推理框架。我们的分类器从使用数量模式中获益,支持更好的特征提取。实验结果表明,我们的方法优于现有的系统,达到最先进的性能基准数据集的算术字问题。
This paper presents a novel approach to automatically solving arithmetic word problems. This is the first algorithmic approach that can handle arithmetic problems with multiple steps and operations, without depending on additional annotations or predefined templates. We develop a theory for expression trees that can be used to represent and evaluate the target arithmetic expressions; we use it to uniquely decompose the target arithmetic problem to multiple classification problems; we then compose an expression tree, combining these with world knowledge through a constrained inference framework. Our classifiers gain from the use of quantity schemas that supports better extraction of features. Experimental results show that our method outperforms existing systems, achieving state of the art performance on benchmark datasets of arithmetic word problems.