Abstract
The dominant sets clustering algorithm has some interesting properties and has achieved impressive results in experiments. However, with the data represented as feature vectors, we need to estimate data similarity and the regularization parameter influences the clustering results and number of clusters significantly. To obtain a specified number of clusters efficiently with the dominant sets algorithm, we present a target dominant set clustering algorithm. Our algorithm detects clusters in the first step, and then extracts dominant sets around the cluster centers based on a specially designed game dynamics. In addition, we show that this game dynamics can be utilized to reduce the computation and memory load significantly. Experiments show that our algorithm performs favorably to the original dominant sets algorithm in clustering quality with much smaller computation load than the latter.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Brendan, J.F., Delbert, D.: Clustering by passing messages between data points. Science 315, 972–976 (2007)
Bulo, S.R., Pelillo, M., Bomze, I.M.: Graph-based quadratic optimization: a fast evolutionary approach. Comput. Vis. Image Underst. 115(7), 984–995 (2011)
Bulo, S.R., Torsello, A., Pelillo, M.: A game-theoretic approach to partial clique enumeration. Image Vis. Comput. 27(7), 911–922 (2009)
Chang, H., Yeung, D.Y.: Robust path-based spectral clustering. Pattern Recogn. 41(1), 191–203 (2008)
Cheng, Y.: Mean shift, mode seeking, and clustering. IEEE Trans. Pattern Anal. Mach. Intell. 17(8), 790–799 (1995)
Ester, M., Kriegel, H.P., Sander, J., Xu, X.W.: A density-based algorithm for discovering clusters in large spatial databases with noise. In: International Conference on Knowledge Discovery and Data Mining, pp. 226–231 (1996)
Fu, L., Medico, E.: Flame, a novel fuzzy clustering method for the analysis of DNA microarray data. BMC Bioinform. 8(1), 1–17 (2007)
Gionis, A., Mannila, H., Tsaparas, P.: Clustering aggregation. ACM Trans. Knowl. Discov. Data 1(1), 1–30 (2007)
Hamid, R., Maddi, S., Johnson, A.Y., Bobick, A.F., Essa, I.A., Isbell, C.: A novel sequence representation for unsupervised analysis of human activities. Artif. Intell. 173, 1221–1244 (2009)
Hou, J., Xu, E., Chi, L., Xia, Q., Qi, N.: Dominant sets and target clique extraction. In: International Conference on Pattern Recognition, pp. 1831–1834 (2012)
Hou, J., Gao, H., Li, X.: DSets-DBSCAN: a parameter-free clustering algorithm. IEEE Trans. Image Process. 25(7), 3182–3193 (2016)
Hou, J., Gao, H., Li, X.: Feature combination via clustering. IEEE Trans. Neural Netw. Learn. Syst. 29(4), 896–907 (2018)
Hou, J., Pelillo, M.: A simple feature combination method based on dominant sets. Pattern Recogn. 46(11), 3129–3139 (2013)
Hou, J., Xia, Q., Qi, N.: Experimental study on dominant sets clustering. IET Comput. Vis. 9(2), 208–215 (2015)
Pavan, M., Pelillo, M.: Dominant sets and pairwise clustering. IEEE Trans. Pattern Anal. Mach. Intell. 29(1), 167–172 (2007)
Rodriguez, A., Laio, A.: Clustering by fast search and find of density peaks. Science 344, 1492–1496 (2014)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 167–172 (2000)
Veenman, C.J., Reinders, M., Backer, E.: A maximum variance cluster algorithm. IEEE Trans. Pattern Anal. Mach. Intell. 24(9), 1273–1280 (2002)
Yang, X.W., Liu, H.R., Laecki, L.J.: Contour-based object detection as dominant set computation. Pattern Recogn. 45, 1927–1936 (2012)
Zahn, C.T.: Graph-theoretical methods for detecting and describing gestalt clusters. IEEE Trans. Comput. 20(1), 68–86 (1971)
Zhu, X., Loy, C.C., Gong, S.: Constructing robust affinity graphs for spectral clustering. In: IEEE International Conference on Computer Vision and Pattern Recognition, pp. 1450–1457 (2014)
Acknowledgement
This work is supported by the National Natural Science Foundation of China under Grant No. 61473045, and the Natural Science Foundation of Liaoning Province under Grant No. 20170540013 and No. 20170540005.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Hou, J., Lv, C., Zhang, A., E., X. (2018). A Target Dominant Sets Clustering Algorithm. In: Kůrková, V., Manolopoulos, Y., Hammer, B., Iliadis, L., Maglogiannis, I. (eds) Artificial Neural Networks and Machine Learning – ICANN 2018. ICANN 2018. Lecture Notes in Computer Science(), vol 11140. Springer, Cham. https://doi.org/10.1007/978-3-030-01421-6_28
Download citation
DOI: https://doi.org/10.1007/978-3-030-01421-6_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-01420-9
Online ISBN: 978-3-030-01421-6
eBook Packages: Computer ScienceComputer Science (R0)