Prompt-Based Missing Entity Recovery for Solving Arithmetic Word Problems

Hao Meng, Liang Xue, Bin He, Xinguo Yu
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Abstract

Most existing neural models solve arithmetic word problems from explicit problem text. However, they can hardly give the solution procedure for problems that contain implicit quantity relations. This paper proposes a missing entity recovery(MER) model to solve arithmetic word problems(AWPs) with implicit knowledge. Given an AWP, the model effectively identifies and represents its explicit expressions into the Nodes Dependency Graph(NDG). Then the nodes on the graph get implicit knowledge from the knowledge base in a recursive way. The group of selected nodes is finally transformed into a group of equations using the solving engine to obtain the answers. The proposed algorithm is evaluated practically based on a collection of established datasets Math23K, showcasing its high accuracy in problem-solving and application in various application situations.
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基于提示的缺失实体恢复算法求解算术单词问题
现有的大多数神经模型都是从显式问题文本中解决算术词问题。然而,对于含有隐量关系的问题,它们很难给出求解过程。提出了一种基于隐式知识的缺失实体恢复模型来解决算术字问题。给定一个AWP,该模型有效地识别并将其显式表达式表示为节点依赖图(NDG)。然后,图上的节点通过递归的方式从知识库中获取隐含知识。最后利用求解引擎将所选节点组转化为一组方程,从而得到答案。基于已建立的数据集Math23K对该算法进行了实际评估,显示了其在解决问题和各种应用情况下的高准确性。
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