论文标题
来自常识知识图和方程的数学单词问题产生
Mathematical Word Problem Generation from Commonsense Knowledge Graph and Equations
论文作者
论文摘要
在教育评估中使用数学单词问题(MWP)的使用越来越兴趣。与标准的自然问题产生不同,MWP生成需要维持数量和变量之间的基本数学操作,同时确保输出与给定主题之间的相关性。为了解决上述问题,我们开发了一个端到端的神经模型,以在Commensense知识图和方程式中产生不同的MWP。提出的模型(1)从符号方程和常识知识的边缘增强的李维图中学习了这两个表示。 (2)在生成MWP时,会自动融合方程式和常识性知识信息。 Experiments on an educational gold-standard set and a large-scale generated MWP set show that our approach is superior on the MWP generation task, and it outperforms the SOTA models in terms of both automatic evaluation metrics, i.e., BLEU-4, ROUGE-L, Self-BLEU, and human evaluation metrics, i.e., equation relevance, topic relevance, and language coherence.为了鼓励可重现的结果,我们在\ url {https://github.com/tal-ai/make_emnlp2021}中将代码和MWP数据集公开提供。
There is an increasing interest in the use of mathematical word problem (MWP) generation in educational assessment. Different from standard natural question generation, MWP generation needs to maintain the underlying mathematical operations between quantities and variables, while at the same time ensuring the relevance between the output and the given topic. To address above problem, we develop an end-to-end neural model to generate diverse MWPs in real-world scenarios from commonsense knowledge graph and equations. The proposed model (1) learns both representations from edge-enhanced Levi graphs of symbolic equations and commonsense knowledge; (2) automatically fuses equation and commonsense knowledge information via a self-planning module when generating the MWPs. Experiments on an educational gold-standard set and a large-scale generated MWP set show that our approach is superior on the MWP generation task, and it outperforms the SOTA models in terms of both automatic evaluation metrics, i.e., BLEU-4, ROUGE-L, Self-BLEU, and human evaluation metrics, i.e., equation relevance, topic relevance, and language coherence. To encourage reproducible results, we make our code and MWP dataset public available at \url{https://github.com/tal-ai/MaKE_EMNLP2021}.