Abstract
We present a novel method of node clustering that is based on carrying out a physical simulation. We treat nodes of a graph as point-sized unit mass particles that interact with each other as well as the space (multi-dimensional) that they are present in through certain defined physical forces. As the configuration of the system evolves during the simulation, similar nodes coalesce while the dissimilar nodes separate out, thus allowing node clusters to emerge. We have experimented with this idea on graphs with up to 300 nodes and have found it to work well. Doing so also allowed us to solve problems of network community detection by utilizing existing density based clustering algorithms, which otherwise would not be possible.
The authors thank Dr. Manish Gupta (Professor, IIIT-B and Director, Google Research India) for his technical inputs as well as for providing partial financial support to the project through his Infosys Foundation chair professorship fund. The authors also acknowledge the financial support from Machine Intelligence and Robotics (MINRO) Center at IIIT Bangalore through a grant from the Department of ITBT &ST, Government of Karnataka.
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References
Aggarwal, C.C., Wang, H.: A Survey of Clustering Algorithms for Graph Data, pp. 275–301. Springer US, Boston, MA (2010). https://doi.org/10.1007/978-1-4419-6045-0_9
Backstrom, L., Huttenlocher, D., Kleinberg, J., Lan, X.: Group formation in large social networks: Membership, growth, and evolution. In: Proceedings of the 12th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 44–54. Association for Computing Machinery (2006). https://doi.org/10.1145/1150402.1150412
Bellman, R., Bellman, R., Collection, K.M.R.: Adaptive Control Processes: A Guided Tour. Princeton Legacy Library, Princeton University Press (1961). https://books.google.co.in/books?id=POAmAAAAMAAJ
Campello, R.J.G.B., Moulavi, D., Sander, J.: Density-based clustering based on hierarchical density estimates. In: Pei, J., Tseng, V.S., Cao, L., Motoda, H., Xu, G. (eds.) Advances in Knowledge Discovery and Data Mining, pp. 160–172. Springer, Berlin, Heidelberg (2013)
Diestel, R.: Graph Theory, 4th Edition, Graduate texts in mathematics, vol. 173. Springer (2012)
Gold, V. (ed.): The IUPAC Compendium of Chemical Terminology: The Gold Book. International Union of Pure and Applied Chemistry (IUPAC), Research Triangle Park, NC, 4 edn. (2019). https://doi.org/10.1351/goldbook, https://goldbook.iupac.org/
Khan, B.S., Niazi, M.A.: Network community detection: a review and visual survey. CoRR abs/1708.00977 (2017). http://arxiv.org/abs/1708.00977
Mahdi, O.A., Abdul Wahab, A.W., Idna Idris, M.Y., Abu znaid, A.M.A., Khan, S., Al-Mayouf, Y.R.B., Guizani, N.: A comparison study on node clustering techniques used in target tracking wsns for efficient data aggregation. Wirel. Commun. Mobile Comput. 16(16), 2663–2676 (2016). https://doi.org/10.1002/wcm.2715
Radicchi, F., Castellano, C., Cecconi, F., Loreto, V., Parisi, D.: Defining and identifying communities in networks. Proc. National Acad. Sci. 101(9), 2658–2663 (2004). https://doi.org/10.1073/pnas.0400054101, https://www.pnas.org/content/101/9/2658
Reddy, K.S.S., Bindu, C.S.: A review on density-based clustering algorithms for big data analysis. In: 2017 International Conference on I-SMAC (IoT in Social, Mobile, Analytics and Cloud) (I-SMAC), pp. 123–130 (2017). https://doi.org/10.1109/I-SMAC.2017.8058322
Rousseeuw, P.: Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. J. Comput. Appl. Math. 20(1), 53–65 (1987). https://doi.org/10.1016/0377-0427(87)90125-7
Schaeffer, S.E.: Survey: graph clustering. Comput. Sci. Rev., 27–64 (2007). https://doi.org/10.1016/j.cosrev.2007.05.001
Trenti, M., Hut, P.: Gravitational n-body simulations (2008)
Walker, J., Resnick, R., Halliday, D.: Halliday & Resnick Fundamentals of Physics. Wiley, Hoboken, NJ, 10th edition edn. (2014)
Yang, J., Leskovec, J.: Defining and evaluating network communities based on ground-truth. In: Proceedings of the ACM SIGKDD Workshop on Mining Data Semantics. MDS ’12, Association for Computing Machinery, New York, NY, USA (2012). https://doi.org/10.1145/2350190.2350193
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Kalra, K., Nikhila, K.N., Chakrabarti, S.K. (2023). Physics Simulation Based Approach to Node Clustering. In: Gyei-Kark, P., Jana, D.K., Panja, P., Abd Wahab, M.H. (eds) Engineering Mathematics and Computing. Studies in Computational Intelligence, vol 1042. Springer, Singapore. https://doi.org/10.1007/978-981-19-2300-5_15
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