Abstract
Actual time series exhibit huge amounts of data which require an unaffordable computational load to be processed, leading to approximate representations to aid these processes. Segmentation processes deal with this issue dividing time series into a certain number of segments and approximating those segments with a basic function. Among the most extended segmentation approaches, piecewise linear representation is highlighted due to its simplicity. This work presents an approach based on the formalization of the segmentation process as a multiobjetive optimization problem and the resolution of that problem with an evolutionary algorithm.
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Agrawal, R., Faloutsos, C., Swami, A.: Efficient similarity search in sequence databases. In: Proceeding of the 4th Conference of Data Organization and Algorithms, pp. 69–84 (1993)
Agrawal, R., Lin, K.I., Sawhey, H.S., Shim, K.: Fast similarity search in the presence of noise, scaling and translation in time-series databases. In: Proceedings of 21st International Conference on Very Large Databases, pp. 490–501 (1995)
Bleuler, S., Laumanns, M., Thiele, L., Zitzler, E.: PISA - A Platform and Programming Language Independent Interface for Search Algorithms. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 494–508. Springer, Heidelberg (2003)
Chan, K., Fu, W.: Efficient time series matching by wavelets. In: Proceedings of the 15th International Conference on Data Engineering, pp. 126–133 (1999)
Coello Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary Algorithms for Solving Multi-Objective Problems, 2nd edn. Springer, Heidelberg (2007)
Ehrgott, M.: Multicriteria optimizaction. In: Lecture Notes in Economics and Mathematical Systems, vol. 491, Springer, Heidelberg (2005)
Ge, X., Smyth, P.: Segmental Semi-Markov Models for Endpoint Detection in Plasma Etching. IEEE Trans. Semiconductor Engineering (2001)
Gionis, A., Mannila, H.: Segmentation algorithms for Time Series and Sequence Data. In: Tutorial in SIAM International Conference in Data Mining (2005)
Guerrero, J., Garcia, J.: Domain Transformation for Uniform Motion Identification in Air Traffic Trajectories. Advances in Soft Computing 50, 403–409 (2008)
Keogh, E., et al.: Segmenting Time Series: A Survey and Novel Approach, 2nd edn. Data Mining in Time Series Databases, pp. 1–21. World Scientific, Singapore (2003)
Keogh, E., Pazzani, M.: An enhanced representation of time series which allows fast and accurate classification, clustering and relevance feedback. In: Proceedings of the 4th International Conference of Knowledge Discovery and Data Mining (1998)
Keogh, E., Chakrabarti, K., Pazzani, M., Mehrotra, S.: Dimensionality Reduction for Fast Similarity Search in Large Time Series Databases. Journal of Knowledge and Information Systems 3(3), 263–286 (2001)
Koski, A., Juhola, M., Meriste, M.: Syntactic Recognition of ECG Signals by Attributed Finite Automata. Pattern Recognition 28(12), 1927–1940 (1995)
Liefooghe, A., Jourdan, L., Talbi, E.-G.: A Unified Model for Evolutionary Multiobjective Optimization and its Implementation in a General Purpose Software Framework: ParadisEO-MOEO. Research Report RR-6906, INRIA (2009)
Liu, X., Lin, Z., Wang, H.: Novel Online Methods for Time Series Segmentation. IEEE Trans. on Knowledge and Data Engineering 20(12) (2008)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Approach. In: EUROGEN 2001. Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems, pp. 95–100 (2002)
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Guerrero, J.L., Berlanga, A., García, J., Molina, J.M. (2010). Piecewise Linear Representation Segmentation as a Multiobjective Optimization Problem. In: de Leon F. de Carvalho, A.P., Rodríguez-González, S., De Paz Santana, J.F., Rodríguez, J.M.C. (eds) Distributed Computing and Artificial Intelligence. Advances in Intelligent and Soft Computing, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14883-5_35
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DOI: https://doi.org/10.1007/978-3-642-14883-5_35
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