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http://dx.doi.org/10.11568/kjm.2021.29.4.649

ORGANIC RELATIONSHIP BETWEEN LAWS BASED ON JUDICIAL PRECEDENTS USING TOPOLOGICAL DATA ANALYSIS  

Kim, Seonghun (Department of Mathematics, SungKyunKwan University Suwon)
Jeong, Jaeheon (Department of Mathematics, SungKyunKwan University Suwon)
Publication Information
Korean Journal of Mathematics / v.29, no.4, 2021 , pp. 649-664 More about this Journal
Abstract
There have been numerous efforts to provide legal information to the general public easily. Most of the existing legal information services are based on keyword-oriented legal ontology. However, this keyword-oriented ontology construction has a sense of disparity from the relationship between the laws used together in actual cases. To solve this problem, it is necessary to study which laws are actually used together in various judicial precedents. However, this is difficult to implement with the existing methods used in computer science or law. In our study, we analyzed this by using topological data analysis, which has recently attracted attention very promisingly in the field of data analysis. In this paper, we applied the the Mapper algorithm, which is one of the topological data analysis techniques, to visualize the relationships that laws form organically in actual precedents.
Keywords
Topological data analysis; the Mapper algorithm; Law; Organic relationship; Act; Article; judicial precedent;
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  • Reference
1 Y.S. Jeon, J.J. Kim, Identication of sentiment keywords association-based hotel network of hotel review using mapper method in topological data analysis, Korean J. Appl. Stat., 33 (1) (2020), 75-86.   DOI
2 J.H. Jeong, GitHub, https://github.com/zeebraa00/kmapper_law_analysis.
3 J.H. Kim J.S. Lee, M.J. Lee, W.J. Kim J.S. Hong, Term Mapping Methodology between Everyday Words and Legal Terms for Law Information Search System, J. Intell. Inf. Syst., 18 (3) (2012), 137-152.   DOI
4 Korea Employment Information Service, The future legal market seen by lawyers and law graduates, https://www.keis.or.kr/user/bbs/main/137/775/bbsDataView/48893.do, (2021).
5 D Ristovska, P Sekuloski, MAPPER ALGORITHM AND IT'S APPLICATIONS, Int. Sci. J. Math. Model., 3 (3) (2019), 79-82.
6 G Singh, F Memoli, GE Carlsson, Topological methods for the analysis of high dimensional data sets and 3D object recognition, Eurographics Symposium on Point-Based Graphics, 91 (2007).
7 H.K. Ko, S.J. Park, Mathematics Anxiety Analysis using Topological Data Analysis, East Asian Math. J., 34 (2) (2018), 177-189.
8 D.J. Lee, J.H. Jung, Time Series Analysis of VLBI Data with TDA and deep learnings, J. Korean Soc. of Surveying, Geodesy, Photogrammetry and Cartography (2019), 257-262.   DOI
9 E Schubert, J Sander, M Ester, HP Kriegel, X Xu, DBSCAN revisited, revisited: why and how you should (still) use DBSCAN, ACM Trans. Database Syst., 42 (3) (2017), ACM New York, NY, USA, 1-21.
10 L Van der Maaten and G Hinton, Visualizing data using t-SNE, J. Mach. Learn. Res., 9 (2008), 2579-2605.
11 P. Y. Lum, G. Singh, A. Lehman, T. Ishkanov, M. Vejdemo-Johansson, M. Alagappan, J. Carlsson and G. Carlsson, Extracting insights from the shape of complex data using topology, Sci. Rep., 3 (1) (2013), 1-8.
12 M Ester, HP Kriegel, J Sander, X Xu, A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise, Knowledge Discovery and Data Mining, 96 (34) (1996) Portland, OR, AAAI Press, 226-231.
13 G Hinton and ST Roweis. Stochastic Neighbor Embedding, Neural Information Processing Systems, 15 (2002), 833-840.