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Subspace Memory Clustering

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present a new subspace clustering method called SuMC (Subspace Memory Clustering), which allows to efficiently divide a dataset D RN into k  N pairwise disjoint clusters of possibly different dimensions. Since our approach is based on the memory compression, we do not need to explicitly specify dimensions of groups: in fact we only need to specify the mean number of scalars which is used to describe a data-point. In the case of one cluster our method reduces to a classical Karhunen-Loeve (PCA) transform. We test our method on some typical data from UCI repository and on data coming from real-life experiments.
Słowa kluczowe
Rocznik
Tom
Strony
133--142
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
autor
  • Faculty of Mathematics and Computer Science Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland
autor
  • Faculty of Mathematics and Computer Science Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland
autor
  • Faculty of Mathematics and Computer Science Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland
Bibliografia
  • [1] Vidal R., Subspace clustering. Signal Processing Magazine, IEEE, 2011, 28(2), pp. 52–68.
  • [2] Agrawal R., Gehrke J., Gunopulos D., Raghavan P., Automatic subspace clustering of high dimensional data for data mining applications. vol. 27. ACM, 1998.
  • [3] Cheng C.H., Fu A.W., Zhang Y., Entropy-based subspace clustering for mining numerical data. In: Proceedings of the fifth ACM SIGKDD international conference on Knowledge discovery and data mining, ACM, 1999, pp. 84–93.
  • [4] Goil S., Nagesh H., Choudhary A., Mafia: Efficient and scalable subspace clustering for very large data sets. In: Proceedings of the 5th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 1999, pp. 443–452.
  • [5] Liu B., Xia Y., Yu P.S., Clustering through decision tree construction. In: Proceedings of the ninth international conference on Information and knowledge management. ACM, 2000, pp. 20–29.
  • [6] Procopiuc C.M., Jones M., Agarwal P.K., Murali T., A monte carlo algorithm for fast projective clustering. In: Proceedings of the 2002 ACM SIGMOD international conference on Management of data, ACM, 2002, pp. 418–427.
  • [7] Aggarwal C.C., Wolf J.L., Yu P.S., Procopiuc C., Park J.S., Fast algorithms for projected clustering. In: ACM SIGMOD Record. vol. 28, ACM, 1999, pp. 61–72.
  • [8] Ng R.T., Han J., Clarans: A method for clustering objects for spatial data mining. Knowledge and Data Engineering, IEEE Transactions on, 2002, 14(5), pp. 1003–1016.
  • [9] Woo K.G., Lee J.H., Kim M.H., Lee Y.J., Findit: a fast and intelligent subspace clustering algorithm using dimension voting. Information and Software Technology, 2004, 46(4), pp. 255–271.
  • [10] Aggarwal C.C., Yu P.S., Finding generalized projected clusters in high dimensional spaces. vol. 29. ACM, 2000.
  • [11] Bohm C., Kailing K., Kr¨oger P., Zimek A., Computing clusters of correlation connected objects. In: Proceedings of the 2004 ACM SIGMOD international conference on Management of data. ACM, 2004, pp. 455–466.
  • [12] Ester M., Kriegel H.P., Sander J., Xu X., A density-based algorithm for discovering clusters in large spatial databases with noise. In: Kdd., 1996, 96, pp. 226–231.
  • [13] Achtert E., B¨ohm C., Kriegel H.P., Kr¨oger P., Zimek A., et al., Robust, complete, and efficient correlation clustering. In: SDM, SIAM, 2007, pp. 413–418.
  • [14] Spurek P., Śmieja M., Misztal K., Subspaces clustering approach to lossy image compression. In: Computer Information Systems and Industrial Management. Springer 2014, pp. 571–579.
  • [15] Spurek P., Tabor J., Misztal K., Weighted approach to projective clustering. In: Computer Information Systems and Industrial Management. Springer 2013, pp. 367–378.
  • [16] Bingham E., Mannila H., Random projection in dimensionality reduction: applications to image and text data. In: Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining, ACM, 2001, pp. 245–250.
  • [17] Jolliffe I., Principal component analysis. Wiley Online Library, 2005.
  • [18] Barszcz T., Bielecki A., Wójcik M., Art-type artificial neural networks applications for classification of operational states in wind turbines. In: Artifical Intelligence and Soft Computing. Springer 2010, pp. 11–18.
  • [19] Barszcz T., Bielecki A., Wójcik M., Vibration signals processing by cellular automata for wind turbines intelligent monitoring. Diagnostyka, 2013, 14.
  • [20] Barszcz T., Bielecki A., Bielecka M., Wójcik M., Wuka M., Vertical axis wind turbine states classification by an art-2 neural network with a stereographic projection as a signal normalization. In: Applied Condition Monitoring.
  • [21] Barszcz T., Bielecka M., Bielecki A., Wójcik M., Wind turbines states classification by a fuzzy-art neural network with a stereographic projection as a signal normalization. In: Adaptive and Natural Computing Algorithms. Springer 2011, pp. 225–234.
  • [22] Barszcz T., Bielecki A., Wójcik M., Bielecka M., Art-2 artificial neural networks applications for classification of vibration signals and operational states of wind turbines for intelligent monitoring. In: Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Springer 2014, pp. 679–688.
  • [23] Bielecka M., Barszcz T., Bielecki A., Wójcik M., Fractal modelling of various wind characteristics for application in a cybernetic model of a wind turbine. In: Artificial Intelligence and Soft Computing. Springer, 2012, pp. 531–538.
  • [24] Bielecki A., Barszcz T., Wójcik M., Bielecka M., Hybrid system of art and rbf neural networks for classification of vibration signals and operational states of wind turbines. In: Artificial Intelligence and Soft Computing. Springer, 2014, pp. 3–11.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c79e951a-1898-4570-b2d3-45ace95af487
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