Implementation of Generative Model Based Solver for Mathematical Word Problem With Linear Equations

Gayoung Kim, Seonho Kim, Junseong Bang
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Abstract

Solving math word problems automatically with a computer is an interesting topic. Instead of statistical methods and semantic parsing methods, recently, deep learning model based methods are used to solve MWPs. We experimented with different deep learning generative model that directly translates a math word problem into a linear equation. In this paper, four MWP solvers using the Sequence-to-Sequence (Seq2Seq) model with a attention mechanism were implemented, i.e., Seq2Seq, BiLSTM Seq2Seq, convolutional Seq2Seq, and transformer models. Then, performance analysis for the 4 MWP solvers has performed on MaWPS (English) and Math23K (Chinese) MWP datasets. Experiment shows that both the Seq2Seq model and the transformer model showed similar performance in translating into simple linear equations, but the transformer model showed the best performance in translating into more complex linear equations.
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基于生成模型的线性方程数学问题求解器的实现
用计算机自动解决数学应用题是一个有趣的话题。近年来,基于深度学习模型的方法取代了统计方法和语义分析方法来解决mwp问题。我们尝试了不同的深度学习生成模型,直接将数学单词问题转化为线性方程。本文采用带有注意机制的序列到序列(Sequence-to-Sequence, Seq2Seq)模型实现了四种MWP求解器,即Seq2Seq、BiLSTM Seq2Seq、卷积Seq2Seq和变压器模型。然后,在MaWPS(英文)和Math23K(中文)MWP数据集上对4个MWP求解器进行了性能分析。实验表明,Seq2Seq模型和变压器模型在转化为简单线性方程时表现出相似的性能,但变压器模型在转化为更复杂的线性方程时表现出最好的性能。
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