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http://dx.doi.org/10.5762/KAIS.2020.21.7.607

Analysis of Research Trends in SIAM Journal on Applied Mathematics Using Topic Modeling  

Kim, Sung-Yeun (Graduate School of Education, Incheon National University)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.21, no.7, 2020 , pp. 607-615 More about this Journal
Abstract
The purpose of this study was to analyze the research status and trends related to the industrial mathematics based on text mining techniques with a sample of 4910 papers collected in the SIAM Journal on Applied Mathematics from 1970 to 2019. The R program was used to collect titles, abstracts, and key words from the papers and to analyze topic modeling techniques based on LDA algorithm. As a result of the coherence score on the collected papers, 20 topics were determined optimally using the Gibbs sampling methods. The main results were as follows. First, studies on industrial mathematics were conducted in a variety of mathematics fields, including computational mathematics, geometry, mathematical modeling, topology, discrete mathematics, probability and statistics, with a focus on analysis and algebra. Second, 5 hot topics (mathematical biology, nonlinear partial differential equation, discrete mathematics, statistics, topology) and 1 cold topic (probability theory) were found based on time series regression analysis. Third, among the fields that were not reflected in the 2015 revised mathematics curriculum, numeral system, matrix, vector in space, and complex numbers were extracted as the contents to be covered in the high school mathematical curriculum. Finally, this study suggested strategies to activate industrial mathematics in Korea, described the study limitations, and proposed directions for future research.
Keywords
Industrial Mathematics; LDA; Mathematics Curriculum; SIAM Journal on Applied Mathematics; Topic Modeling;
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1 H. J. Jung, "Research dynamics in innovation studies using text mining", Journal of Technology Innovation, Vol.24, No.4, pp.249-275, Nov. 2016. DOI:https://doi.org/10.14383/SIME.2016.24.4.249   DOI
2 A. Amado, P. Cortez, P. Rita, S. Moro, "Research trends on Big Data in Marketing: A text mining and topic modeling based literature analysis", European Research on Management and Business Economics, Vol.24, No.1, pp.1-7, Jan. 2018. DOI:https://doi.org/10.1016/j.iedeen.2017.06.002   DOI
3 H. J. Yoon, C. S. Kim, K. Y. Kwahk, An analysis of research trends on local tour studies: Using text mining techniques, Proceedings of the Korean Academic Society of Tourism and Leisure, Korea, pp.275-282, Dec. 2017.
4 J. H. Yoo, E. C. Jeon, H. N. Kim, "Study of research trends in climate change using text analysis-focusing on journal of climate change research-", Journal of Climate Change Research, Vol.10, No.3, pp.161-172, Sep. 2019. DOI:https://doi.org/10.15531/ksccr.2019.10.3.161   DOI
5 H. J. Yoon, J. H. Park, J. W. Yoon, "Introduction of topic modeling for extracting potential information from unstructured text data: Issue analysis on news article of dementia-related physical activity", Korean Journal of Sport Science, Vol.30, No.3, pp.501-512, Sep. 2019. DOI:https://doi.org/10.24985/kjss.2019.30.3.501   DOI
6 K. W. Cho, S. K. Bae, Y. W. Woo, "Analysis on topic trends and topic modeling of KSHSM journal papers using text mining", The Korean Journal of Health Service Management, Vol.11, No.4, Nov. pp.213-224. DOI:http://dx.doi.org/10.12811/kshsm.2017.11.4.213
7 S. G. Kim, S. Y. Jang, "A study on the research trends in domestic industrial and management engineering using topic modeling", Journal of the Korea Management Engineers Society, Vol.21, No.3, pp.71-95, Sep. 2016. DOI:https://doi.org/10.5762/KAIS.2016.17.11.670
8 S. Syed, C. T. Weber, "Using machine learning to uncover latent research topics in fishery models", Reviews in Fisheries Science & Aquaculture, Vol.26, No.3, pp.319-336, Jan. 2018.   DOI
9 J. H. Park, M. Song, "A study on the research trends in library & information science in korea using topic modeling", Journal of the Korean Society for Information Management, No. 30, No.1, pp.7-32, Mar. 2013. DOI:https://doi.org/10.3743/KOSIM.2013.30.1.007   DOI
10 C. S. Kim, S. J. Choi, K. Y, Kwahk, "Investigation of research trends in information systems domain using topic modeling and time series regression analysis", Journal of Digital Contents Society, Vol.18, No.6, pp.1143-1150, Oct. 2017.   DOI
11 J. G. Ahn, S. D. Kim, H. W. Kim, "Exploring dynamics of information systems research trend using text mining approach", Information Systems Review, pp.73-96, Sep. 2016. DOI:https://doi.org/10.14329/isr.2016.18.3.073
12 K. Lee, H. Jung, M. Song, "Subject-method topic network analysis in communication studies". Scientometrics, Vol.109, No.3, pp.1761-1787, Dec. 2016. DOI:https://doi.org/10.14329/isr.2016.18.3.073   DOI
13 D. M. Blei, "Probabilistic topic models: Surveying a suite of algorithms that offer a solution to managing large document archives", Communications of the ACM, Vol.55, No.4, pp.77-84, Apr. 2012. DOI:https://doi.org/10.1007/s11192-016-2135-7   DOI
14 D. M. Blei, "Probabilistic topic models", 2013 Topic Modeling Workshop at NIPS, 2013.
15 Y. W. Kim, S. E. Ko, Y. L, Kim, H. S. Park, S. W. Lee, J. W. Jang, D. S. Cho, A study on the contents of mathematics learning suitable for future students, Korea Foundation for the Advancement of Science and Creativity, Korea, pp.110-111.
16 J. H. Park, H. J. Oh, "Comparison of Topic Modeling Methods for Analyzing Research Trends of Archives Management in Korea: focused on LDA and HDP", Journal of Korean Library and Information Science Society, Vol.48, No.4, pp.235-258, Dec. 2017. DOI:https://doi.org/10.16981/kliss.48.4.201712.235   DOI
17 J. Chang, S. Gerrish, C. Wang, J. L. Boyd-Graber, D. M. Blei, "Reading tea leaves: How humans interpret topic models", In Advances in neural information processing systems, pp.288-296, Jan. 2009.
18 D. Newman, J. H. Lau, K. Grieser, T. Baldwin, "Automatic evaluation of topic coherence", In Human Language Technologies: The 2010 Annual Conference of the North American Chapter of the Association for Computational Linguistics, CA, USA, pp.100-108, 2010.
19 T. Jones, W. Doane, M. T. Jones, Functions for text mining and topic modeling [Internet], TextmineR, [Cited 2019 Jan. 01] Available From: https://www.rtextminer.com, (accessed Apr. 07, 2020).
20 K. Hornik, B. Grun, "topicmodels: An R package for fitting topic models", Journal of statistical software, Vol.40, No.13, pp.1-30, May. 2011.
21 J. W. Mohr, P. Bogdanov, "Introduction-topic models: What they are and why they matter", Poetics, Vol.48, No.6, pp.545-569, Dec. 2013. DOI:https://doi.org/10.1016/j.poetic.2013.10.001
22 H. S. Lee, J. K. Park, O. J. Jung, AI mathematics is a global craze, but it's been deleted from high school curriculum in Korea [Internet], Hankyung, [Cited 2019 Oct. 06] Available From: https://news.naver.com/main/ranking/read.nhn?mid=etc&sid1=111&rankingType=popular_day&oid=015&aid=0004219450&date=20191006&type=1&rankingSeq=2&rankingSectionId=105 (accessed Apr. 07, 2020).
23 K. B. Park, Linkage between industry and academia for promoting industrial mathematics, Policy Research Report, Science and Technology Policy Institute, Korea, pp.1-122.
24 Ministry of Future, Planning and Science, Mathematics needed in industrial fields, the government will raise it, Press release, Sejong: Ministry of Future, Planning and Science, 2016.
25 T. H. Kim, Without mathematics, there is no AI. It is imperative to prepare a domestic industrial mathematics ecosystem [Internet], Chosunbiz, [Cited 2019 September 16] Available From: https://biz.chosun.com/site/data/html_dir/2019/09/16/2019091601712.html (accessed Apr. 07, 2020)
26 M. H. Kim, A study on strategy for vitalizing of industiral and applied mathematics as a national policy, Sejong: Ministry of Future, Planning and Science, 2015. DOI:https://doi.org/10.15724/jslhd.2019.28.3.081
27 S. J. Kim, J. M. Sung, "Activation plan for entertainment industry mathematics", Journal of Korea Entertainment Industry Association, Vol.11, No.2, pp.289-297, Feb. 2017. DOI:https://doi.org/10.21184/jkeia.2017.02.11.2.289
28 M. S. Shin, K. W. Cho, "Analysis of topic modeling and trend of journal of speech-language & hearing disorders using text mining: (2002-2018)", Journal of Speech-Language & Hearing Disorders, Vol.28, No.3, pp.81-91, Jul. 2019. DOI:https://doi.org/10.15724/jslhd.2019.28.3.081
29 T. K. Kim, H. R. Choi, H. C. Lee, "A study on the research trends in Fintech using topic modeling", Journal of the Korean Academia-Industrial Cooperation Society, Vol.17, No.11, pp.670-681, Nov. 2016. DOI:http://dx.doi.org/10.5762/KAIS.2016.17.11.670