Skip to main content
Top

2017 | OriginalPaper | Chapter

UK - Means Clustering for Uncertain Time Series Based on ULDTW Distance

Authors : Xiaoping Zhu, Zongmin Ma, Qijie Tang

Published in: Intelligent Data Engineering and Automated Learning – IDEAL 2017

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The probability density function represents the uncertainty of time series at each time point. In this paper, based on probability density function, we adopt the ULDTW distance for uncertain time series and apply it to the traditional UK-Means clustering. Combining the property that ULDTW distance has a one-to-many correspondence between time points in the matching process, we propose a 1ToNCenter calculation method replacing the traditional mean cluster-center calculation method to improve the accuracy of clustering results. Experiments show that the Adjusted Rand Index (ARI) of UKMeansULDTW clustering results have an obviously higher accuracy than the existing UK-Means algorithms in the high dimensional uncertain time series cases.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Zuo, Y., Liu, G., Yue, X., Wang, W., Wu, H.: Similarity matching over uncertain time series. In: Seventh International Conference on Computational Intelligence and Security, pp. 1357–1361 (2011) Zuo, Y., Liu, G., Yue, X., Wang, W., Wu, H.: Similarity matching over uncertain time series. In: Seventh International Conference on Computational Intelligence and Security, pp. 1357–1361 (2011)
2.
go back to reference Izakian, H., Pedrycz, W.: Anomaly detection and characterization in spatial time series data: a cluster-centric approach. IEEE Trans. Fuzzy Syst. 22(6), 1612–1624 (2014)CrossRef Izakian, H., Pedrycz, W.: Anomaly detection and characterization in spatial time series data: a cluster-centric approach. IEEE Trans. Fuzzy Syst. 22(6), 1612–1624 (2014)CrossRef
3.
go back to reference Paparrizos, J., Gravano, L.: k-Shape: efficient and accurate clustering of time series. ACM SIGMOD Rec. 45(1), 69–76 (2016)CrossRef Paparrizos, J., Gravano, L.: k-Shape: efficient and accurate clustering of time series. ACM SIGMOD Rec. 45(1), 69–76 (2016)CrossRef
4.
go back to reference Aghabozorgi, S., Shirkhorshidi, A.S., Wah, T.Y.: Time-series clustering - a decade review. Inf. Syst. 53(C), 16–38 (2015)CrossRef Aghabozorgi, S., Shirkhorshidi, A.S., Wah, T.Y.: Time-series clustering - a decade review. Inf. Syst. 53(C), 16–38 (2015)CrossRef
5.
go back to reference Izakian, H., Pedrycz, W., Jamal, I.: Fuzzy clustering of time series data using dynamic time warping distance. Eng. Appl. Artif. Intell. 39, 235–244 (2015)CrossRef Izakian, H., Pedrycz, W., Jamal, I.: Fuzzy clustering of time series data using dynamic time warping distance. Eng. Appl. Artif. Intell. 39, 235–244 (2015)CrossRef
6.
go back to reference Menéndez, H.D., Barrero, D.F., Camacho, D.: A co-evolutionary multi-objective approach for a k-adaptive graph-based clustering algorithm. In: 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 2724–2731. IEEE (2014) Menéndez, H.D., Barrero, D.F., Camacho, D.: A co-evolutionary multi-objective approach for a k-adaptive graph-based clustering algorithm. In: 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 2724–2731. IEEE (2014)
7.
go back to reference Xu, L., Hu, Q., Hung, E., Chen, B., Tan, X., Liao, C.: Large margin clustering on uncertain data by considering probability distribution similarity. Neurocomputing 158(C), 81–89 (2015)CrossRef Xu, L., Hu, Q., Hung, E., Chen, B., Tan, X., Liao, C.: Large margin clustering on uncertain data by considering probability distribution similarity. Neurocomputing 158(C), 81–89 (2015)CrossRef
8.
go back to reference Qin, B., Xia, Y., Wang, S., Xiaoyong, D.: A novel bayesian classification for uncertain data. Knowl.-Based Syst. 24(8), 1151–1158 (2011)CrossRef Qin, B., Xia, Y., Wang, S., Xiaoyong, D.: A novel bayesian classification for uncertain data. Knowl.-Based Syst. 24(8), 1151–1158 (2011)CrossRef
9.
go back to reference Menéndez, H.D., Otero, F.E.B., Camacho, D.: Medoid-based clustering using ant colony optimization. Swarm Intell. 10(2), 123–145 (2016)CrossRef Menéndez, H.D., Otero, F.E.B., Camacho, D.: Medoid-based clustering using ant colony optimization. Swarm Intell. 10(2), 123–145 (2016)CrossRef
10.
go back to reference Menéndez, H.D., Otero, F.E.B., Camacho, D.: MACOC: a medoid-based ACO clustering algorithm. In: Dorigo, M., Birattari, M., Garnier, S., Hamann, H., Montes de Oca, M., Solnon, C., Stützle, T. (eds.) ANTS 2014. LNCS, vol. 8667, pp. 122–133. Springer, Cham (2014). doi:10.1007/978-3-319-09952-1_11 Menéndez, H.D., Otero, F.E.B., Camacho, D.: MACOC: a medoid-based ACO clustering algorithm. In: Dorigo, M., Birattari, M., Garnier, S., Hamann, H., Montes de Oca, M., Solnon, C., Stützle, T. (eds.) ANTS 2014. LNCS, vol. 8667, pp. 122–133. Springer, Cham (2014). doi:10.​1007/​978-3-319-09952-1_​11
11.
go back to reference Bello-Orgaz, G., Menéndez, H.D., Camacho, D.: Adaptive k-means algorithm for overlapped graph clustering. Int. J. Neural Syst. 22(05), 1250018 (2012)CrossRef Bello-Orgaz, G., Menéndez, H.D., Camacho, D.: Adaptive k-means algorithm for overlapped graph clustering. Int. J. Neural Syst. 22(05), 1250018 (2012)CrossRef
12.
13.
go back to reference Menendez, H.D., Barrero, D.F., Camacho, D.: A genetic graph-based approach for partitional clustering. Int. J. Neural Syst. 24(03), 1430008 (2014)CrossRef Menendez, H.D., Barrero, D.F., Camacho, D.: A genetic graph-based approach for partitional clustering. Int. J. Neural Syst. 24(03), 1430008 (2014)CrossRef
14.
go back to reference Chau, M., Cheng, R., Kao, B., Ng, J.: Uncertain data mining: an example in clustering location data. In: Ng, W.-K., Kitsuregawa, M., Li, J., Chang, K. (eds.) PAKDD 2006. LNCS (LNAI), vol. 3918, pp. 199–204. Springer, Heidelberg (2006). doi:10.1007/11731139_24 CrossRef Chau, M., Cheng, R., Kao, B., Ng, J.: Uncertain data mining: an example in clustering location data. In: Ng, W.-K., Kitsuregawa, M., Li, J., Chang, K. (eds.) PAKDD 2006. LNCS (LNAI), vol. 3918, pp. 199–204. Springer, Heidelberg (2006). doi:10.​1007/​11731139_​24 CrossRef
16.
go back to reference Qu, J., Shao, Z., Liu, X.: Mixed PSO clustering algorithm using point symmetry distance. J. Comput. Inf. Syst. 20, 53–65 (2010)CrossRef Qu, J., Shao, Z., Liu, X.: Mixed PSO clustering algorithm using point symmetry distance. J. Comput. Inf. Syst. 20, 53–65 (2010)CrossRef
17.
go back to reference Keogh, E., Ratanamahatana, C.A.: Exact indexing of dynamic time warping. Knowl. Inf. Syst. 7(3), 358–386 (2005)CrossRef Keogh, E., Ratanamahatana, C.A.: Exact indexing of dynamic time warping. Knowl. Inf. Syst. 7(3), 358–386 (2005)CrossRef
18.
go back to reference Petitjean, F., Ketterlin, A., Gançarski, P.: A global averaging method for dynamic time warping, with applications to clustering. Patt. Recogn. 44(3), 678–693 (2011)CrossRefMATH Petitjean, F., Ketterlin, A., Gançarski, P.: A global averaging method for dynamic time warping, with applications to clustering. Patt. Recogn. 44(3), 678–693 (2011)CrossRefMATH
19.
go back to reference Zhang, S., Wong, H.-S., Shen, Y.: Generalized adjusted rand indices for cluster ensembles. Patt. Recogn. 45(6), 2214–2226 (2012)CrossRefMATH Zhang, S., Wong, H.-S., Shen, Y.: Generalized adjusted rand indices for cluster ensembles. Patt. Recogn. 45(6), 2214–2226 (2012)CrossRefMATH
Metadata
Title
UK - Means Clustering for Uncertain Time Series Based on ULDTW Distance
Authors
Xiaoping Zhu
Zongmin Ma
Qijie Tang
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-68935-7_4

Premium Partner