A Survey of Deep Learning for Mathematical Reasoning

Pan Lu, Liang Qiu, Wenhao Yu, Sean Welleck, Kai-Wei Chang


Abstract
Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving math problems and proving theorems in language has garnered significant interest in the fields of machine learning and natural language processing. For example, mathematics serves as a testbed for aspects of reasoning that are challenging for powerful deep learning models, driving new algorithmic and modeling advances. On the other hand, recent advances in large-scale neural language models have opened up new benchmarks and opportunities to use deep learning for mathematical reasoning. In this survey paper, we review the key tasks, datasets, and methods at the intersection of mathematical reasoning and deep learning over the past decade. We also evaluate existing benchmarks and methods, and discuss future research directions in this domain.
Anthology ID:
2023.acl-long.817
Volume:
Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2023
Address:
Toronto, Canada
Editors:
Anna Rogers, Jordan Boyd-Graber, Naoaki Okazaki
Venue:
ACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
14605–14631
Language:
URL:
https://aclanthology.org/2023.acl-long.817
DOI:
10.18653/v1/2023.acl-long.817
Bibkey:
Cite (ACL):
Pan Lu, Liang Qiu, Wenhao Yu, Sean Welleck, and Kai-Wei Chang. 2023. A Survey of Deep Learning for Mathematical Reasoning. In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 14605–14631, Toronto, Canada. Association for Computational Linguistics.
Cite (Informal):
A Survey of Deep Learning for Mathematical Reasoning (Lu et al., ACL 2023)
Copy Citation:
PDF:
https://aclanthology.org/2023.acl-long.817.pdf
Video:
 https://aclanthology.org/2023.acl-long.817.mp4