Abstract
Clustering for categorical multivariate data is an important task for summarizing co-occurrence information that consists of mutual affinity among objects and items. This work focus on two fuzzy clustering methods for categorical multivariate data. One of the serious limitations for these methods is the local optimality problem. In this work, an algorithm is proposed to address this issue. The proposed algorithm incorporates multiple token search generated from the eigen decomposition of the Hessian of the objective function. Numerical experiments using an artificial dataset shows that the proposed algorithm is valid.
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References
MacQueen, J.B.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, pp. 281–297 (1967)
Rigouste, L., Cappé, O., Yvon, F.: Inference and evaluation of the multinomial mixture model for text clustering. Inf. Process. Manag. 43(5), 1260–1280 (2007)
Honda, K., Oshio, S., Notsu, A.: Fuzzy co-clustering induced by multinomial mixture models. JACIII 19(6), 717–726 (2015)
Kondo, T., Kanzawa, Y.: Fuzzy clustering methods for categorical multivariate data based on \(q\)-divergence. JACIII 22(4), 524–536 (2018)
Arthur, D., Vassilvitskii, S.: k-means++: the advantages of careful seeding. In: Proceedings of the 8th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1027–1035 (2007)
Ishikawa, Y., Nakano, R.: Landscape of a likelihood surface for a gaussian mixture and its use for the EM algorithm. In: Proceedings of the IJCNN2006, pp. 2413–2419 (2006)
Ueda, N., Nakano, R.: Deterministic annealing EM algorithm. Neural Netw. 11(2), 271–282 (1998)
Higashi, M., Kondo, T., Kanzawa, Y.: Fuzzy clustering method for spherical data based on q-divergence. JACIII 23(3), 561–570 (2019)
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Suzuki, K., Kanzawa, Y. (2022). On an Multi-directional Searching Algorithm for Two Fuzzy Clustering Methods for Categorical Multivariate Data. In: Honda, K., Entani, T., Ubukata, S., Huynh, VN., Inuiguchi, M. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2022. Lecture Notes in Computer Science(), vol 13199. Springer, Cham. https://doi.org/10.1007/978-3-030-98018-4_15
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DOI: https://doi.org/10.1007/978-3-030-98018-4_15
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