Cited by 29Topic ModelingNatural Language Processing TechniquesMultimodal Machine Learning Applications

“Mathematical word problem generation from commonsense knowledge graph and equations,”

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Liu, Tianqiao, Fang, Qiang, Ding, Wenbiao, Li, Hang, Wu, Zhongqin, Liu, Zitao·2021·Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing

Abstract

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 https:// github.com/tal-ai/MaKE_EMNLP2021.

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  • Subsequent research on automatic MWP generation has focused on improving topic relevance, expression relevance, language coherence, as well as completeness and validity of the generated problems.

    “Subsequent research along this direction has focused on improving topic relevance, expression relevance, language coherence, as well as completeness and validity of the generated problems using a spectrum of approaches (Liu et al., 2021; Wang et al., 2021; Wu et al., 2022).”

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Research works printed but not linked: 3

  1. DeKita G Moon-Rembert and Juan E Gilbert. 2019. Illmatics: A web-based math word problem gener- ator for students' distal and proximal interests. In E-Learn: World Conference on E-Learning in Cor- porate, Government, Healthcare, and Higher Educa- tion, pages 842-848. Association for the Advance- ment of Computing in Education.
  2. Guowei Xu, Wenbiao Ding, Jiliang Tang, Songfan Yang, Gale Yan Huang, and Zitao Liu. 2019. Learning ef- fective embeddings from crowdsourced labels: An educational case study. In 2019 IEEE 35th Interna- tional Conference on Data Engineering, pages 1922- 1927. IEEE.
  3. Qingyu Zhou and Danqing Huang. 2019. Towards gen- erating math word problems from equations and top- ics. In Proceedings of the 12th International Confer- ence on Natural Language Generation, INLG 2019, Tokyo, Japan, October 29 -November 1, 2019, pages 494-503.

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Authors
Liu, T., Fang, Q., Ding, W., Li, H., Wu, Z., & Liu, Z.
Venue
Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing
Published
2021
Pages
4225-4240
OpenAlex
W3092766609
Cited by
29
References
52
Citations by year
2026: 3 · 2025: 5 · 2024: 5 · 2023: 10 · 2022: 3 · 2021: 3
FWCI
2.43
Type
conference paper
Language
en
Open access
Licence
cc-by
Locations
  • Conference on Empirical Methods in Natural Language Processing (EMNLP) (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Beijing Nova Program
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Topic Modeling
  • Physical Sciences › Computer Science › Artificial Intelligence › Natural Language Processing Techniques
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Multimodal Machine Learning Applications
Keywords
commonsense knowledge graph, symbolic equations, knowledge fusion, topic relevance, language coherence, educational assessment

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