Nothing Special   »   [go: up one dir, main page]

skip to main content
10.1145/3640912.3640980acmotherconferencesArticle/Chapter ViewAbstractPublication PagescnmlConference Proceedingsconference-collections
research-article

Problem-guided Neural Math Problem Solvers

Published: 22 February 2024 Publication History

Abstract

The Math Word Problem (MWP) refers to mathematical problems described in natural language. Recent research has mostly employed sequence-to-sequence (Seq2Seq) or sequence-to-tree (Seq2Tree) approaches to generate computational trees or expressions that help solve the problems. Some works have also treated MWP as a complex relation extraction task. These approaches have shown empirical effectiveness, but recent studies have indicated that these neural solvers merely establish a shallow mapping between text and arithmetic expressions, failing to effectively utilize the textual information of the problem to guide the reasoning process. In this work, to address the issue of neural solvers' limited utilization of text and problem information, we propose a novel architecture for the encoder and decoder, where multiple question representations are obtained from a transformer-based encoder to enhance the guiding capability of problem text information in the decoding process. Each decision in the decoder is guided by the encoded information of the problem text. According to our experiments, our approach demonstrates competitive performance on four benchmark datasets.

References

[1]
Zhanming, J., Jierui, L., and Wei, L., "Learning to Reason Deductively: Math Word Problem Solving as Complex Relation Extraction", Annual Meeting of the Association for Computational Linguistics Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), 5944–5955, 2022.
[2]
Youyuan, Z., "Techniques to Improve Neural Math Word Problem Solvers," arXiv preprint arXiv, 2302.03145, 2023.
[3]
Subhro, R., and Dan, R., "Mapping to Declarative Knowledge for Word Problem Solving," Computing Research Repository abs/1712.09391, 2018.
[4]
Yan, W., Xiaojiang, L., and Shuming, S., "Deep Neural Solver for Math Word Problems," Conference on Empirical Methods in Natural Language Processing D17-1, 845-854, 2017.
[5]
Zhipeng, X., and Shichao, S., "A Goal-Driven Tree-Structured Neural Model for Math Word Problems," International Joint Conference on Artificial Intelligence, 5299-5305, 2019.
[6]
Abby, N., and Jugal, K., "Explaining Math Word Problem Solvers," NLPIR abs/2307.13128, 71-78, 2022.
[7]
Subhro, R. and Dan, R., "Mapping to declarative knowledge for word problem solving," Transactions of the Association for Computational Linguistics, 6:159-172, 2018.
[8]
Jierui, L., Lei, W., Jipeng, Z., Yan, W., Bing, T. D., and Dongxiang, Z., "Modeling Intra-Relation In Math Word Problems With Different Functional Multi-Head Attentions," Annual Meeting of the Association for Computational Linguistics, P19-1, 6162-6167, 2019.
[9]
Yixuan, C., Feng, H., Hongwei, L., and Ping, L., "A Bottom-Up Dag Structure Extraction Model For Math Word Problems," AAAI Conference on Artificial Intelligence 35.1, 39-46, 2021.
[10]
Yihuai, L., Lei, W., Qiyuan, Z., Yunshi, L., Bing, T. D., Yan, W., Dongxiang, Z., and Ee-Peng, L., "Mwptoolkit: An open-source framework for deep learning-based math word problem solvers," arXiv preprint arXiv:2109.00799, 2021.
[11]
Rik, K., Subhro, R., Aida, A., Nate, K. and Hannaneh, H. "MAWPS: A Math Word Problem Repository," North American Chapter of the Association for Computational Linguistics, 1152-1157, 2016.
[12]
Aida, A., Saadia, G., Peter, L., Rik, K., Yejin, C. and Hannaneh, H., "MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalisms," North American Chapter of the Association for Computational Linguistics, abs/1905.13319: 2357-2367, 2019.
[13]
Arkil, P., Satwik, B. and Navin, G. "Are NLP Models really able to Solve Simple Math Word Problems?" North American Chapter of the Association for Computational Linguistics, abs/2103.07191: 2080-2094, 2021.

Index Terms

  1. Problem-guided Neural Math Problem Solvers
      Index terms have been assigned to the content through auto-classification.

      Recommendations

      Comments

      Please enable JavaScript to view thecomments powered by Disqus.

      Information & Contributors

      Information

      Published In

      cover image ACM Other conferences
      CNML '23: Proceedings of the 2023 International Conference on Communication Network and Machine Learning
      October 2023
      446 pages
      ISBN:9798400716683
      DOI:10.1145/3640912
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 22 February 2024

      Permissions

      Request permissions for this article.

      Check for updates

      Qualifiers

      • Research-article
      • Research
      • Refereed limited

      Conference

      CNML 2023

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • 0
        Total Citations
      • 18
        Total Downloads
      • Downloads (Last 12 months)18
      • Downloads (Last 6 weeks)3
      Reflects downloads up to 17 Nov 2024

      Other Metrics

      Citations

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      HTML Format

      View this article in HTML Format.

      HTML Format

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media