JJAP Conf. Proc. 4, 011609 (2016) doi:10.7567/JJAPCP.4.011609
Framework for sense disambiguation of mathematical expressions
- 1Graduate School of Science and Technology, Shizuoka University, Shizuoka 432-8011, Japan
- 2Research Fellow of Japan Society for the Promotion of Science
- 3Graduate School of Integrated Science and Technology, Shizuoka University, Shizuoka 432-8011, Japan
- 4College of Letters, Ritsumeikan University, Kyoto 603-8346, Japan
- Received September 28, 2015
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Mathematical expressions are indispensable for describing mathematical concepts or models. Although these expressions are formal representations, they contain ambiguity, i.e., a single expression could be interpreted as having multiple meanings. This feature prevents the flexible use of mathematical expressions in computation. In this paper, we focus on symbol-level ambiguity and consider the problem of labeling semantic information to each symbol as a classification problem. Then we propose a framework for solving the problem with supervised learning.
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- 1 M. Q. Nghiem, G. Y. Kristianto, G. Topic, and A. Aizawa, The 6th Int. Joint Conf. Natural Language Processing (IJCNLP 2013), 2013, p. 809.
- 2 MathML [http://www.w3.org/TR/MathML3/].
- 3 T. Watabe and Y. Miyazaki, IPSJ Journal 56, 1417 (2015).
- 4 R. Miner and R. Munavalli, Towards Mechanized Mathematical Assistants (Springer, 2007) p. 342.
- 5 M. Wolska, M. Grigore, and M. Kohlhase, Using Discourse Context to Interpret Object-denoting Mathematical Expressions, Towards a Digital Mathematics Library (2011) pp. 85–101.
- 6 Wolfram Functions Site [http://functions.wolfram.com/].
- 7 J. Friedman, T. Hastie, and R. Tibshirani, The Elements of Statistical Learning (Springer, Berlin, 2001) Vol. 1.
- 8 F. Pedregosa et al., J. Mach. Learn. Res. 12, 2825 (2011).
- 9 H. Hashimoto, Y. Hijikata, and S. Nishida, IPSJ Journal 2007, 55 (2007).
- 10 T. Watanabe and Y. Miyazaki, Int. Conf. Computers in Education (ICCE2010), 2010, p. 310.