### Using Sub-optimal Kalman Filtering for Anomaly Detection in Networks

#### Abstract

#### Keywords

#### References

Dubois, D., Prade, H. and Sandri, S.: On possibility/probability transformations. In Proceedings of the Fourth Int. Fuzzy Systems Association World Congress (IFSA91), Brussels, Belgium, pages 50-53, (1991).

Maybeck, P. Stochastic Models, Estimation and Control, Volume 2. Academic Press. 1982. Using MATLAB. Wiley Interscience. 2001.

Bar-Shalom, Y., Li, X.-R., and Kirubarajan, T. Estimation with Applications to Tracking and Navigation. Wiley Interscience. 2001.

Masson, M., H. and Denoeux, T.: Inferring a possibility distribution from empirical data. Fuzzy Sets and Systems 157(3): pp. 319-340, 2006.

Zadeh, L.,A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1: pp. 3-28, 1978.

Bezdek, J. C. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, 1981.

Bensaid, A. M., Hall, L.O, Bezdek, J.C., Clarke, L.P., Silbiger, M.L., Arrington, J. A and Murtagh, R.F Validity-guided (Re)Clustering with applications to image segmentation. IEEE Transactions on Fuzzy Systems, 4:112- 123, 1996.

Lakhina, A., Crovella, M. and Diot, C.: Characterization of networkwide traffic anomalies. In Proceedings of the ACM/SIGCOMM Internet Measurement Conference. pp. 201-206.(2004)

Lakhina, A., Crovella, M.,Diot, C.: Diagnosing Network-Wide Traffic Anomalies. In ACM SIGCOMM (2004).

Xie X.,L. and Beni, G. A. Validity measure for fuzzy clustering. IEEE Trans. PAMI, 3(8):841-846, 1991.

Wan, E. and Van Der Merwe, R. The Unscented Kalman Filter. Wiley Publishing, 2001.

Babuska, R., Van der Veen, P. J. and Kaymak, U: Improved covariance estimation for Gustafson-Kessel clustering. IEEE International Conference on Fuzzy Systems, pages 1081-1085, 2002.

Goodman, L. A.: On simultaneous confidence intervals for multinomial proportions. Technometrics, 7(2): pp. 247-254, 1965.

Ndong, J., Salamatian, K., :A Robust Anomaly Detection Technique Using Combined Statistical Methods. CNSR 2011, IEEE Xplore 978-1- 4577-0040 8, pp: 101-108. (May 2011).

Ndong, J., Salamatian, K.,: Signal Processing-based Anomaly Detection Techniques: A Comparative Analysis. INTERNET 2011, The Third International Conference on Evolving Internet. ISBN: 978-1-61208-141- 0.

Ndong, J.: Anomaly Detection: A Technique Using Kalman Filtering and Principal Component Analysis. ATAI NTC 2012 GSTF 2012.