Abstract
Given the complexity of real-life event logs, several trace clustering techniques have been proposed to partition an event log into subsets with a lower degree of variation. In general, these techniques assume that the number of clusters is known in advance. However, this will rarely be the case in practice. Therefore, this paper presents approaches to determine the appropriate number of clusters in a trace clustering context. In order to fulfil the objective of identifying the most appropriate number of trace clusters, two approaches built on similarity are proposed: a stability- and a separation-based method. The stability-based method iteratively calculates the similarity between clustered versions of perturbed and unperturbed event logs. Alternatively, an approach based on between-cluster dissimilarity, or separation, is proposed. Regarding practical validation, both approaches are tested on multiple real-life datasets to investigate the complementarity of the different components. Our results suggest that both methods are successful in identifying an appropriate number of trace clusters.
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- 1.
This approach is implemented as an experimental ProM-plugin which can be found on http://www.processmining.be/clusterstability/.
- 2.
For more info on the XES-standard, we refer to http://www.xes-standard.org/.
- 3.
The first two methods are implemented in the ProM-framework for process mining in the ActiTrac-plugin. The latter five methods are implemented in the GuideTree-Miner-plugin.
- 4.
The visual representations of the MCRM- and MOA-event logs are available on http://www.processmining.be/clusterstability/ToPNoCResults.
References
van der Aalst, W.: Process Mining: Data Science in Action. Springer, Berlin (2016)
Bose, R.P.J.C., van der Aalst, W.M.P.: Trace clustering based on conserved patterns: towards achieving better process models. In: Rinderle-Ma, S., Sadiq, S., Leymann, F. (eds.) BPM 2009. LNBIP, vol. 43, pp. 170–181. Springer, Heidelberg (2010). doi:10.1007/978-3-642-12186-9_16
Bose, R., Aalst, W.V.D.: Context aware trace clustering: towards improving process mining results. In: SDM, pp. 401–412 (2009)
Davies, D.L., Bouldin, D.W.: A cluster separation measure. IEEE Trans. Pattern Anal. Mach. Intell. 2, 224–227 (1979)
De Koninck, P., De Weerdt, J.: Determining the number of trace clusters: a stability-based approach. In: Proceedings of the International Workshop on Algorithms & Theories for the Analysis of Event Data (ATAED) 2016, vol. 1592, pp. 1–15. CEUR-ws Workshop Proceedings (2016)
De Koninck, P., De Weerdt, J.: A stability assessment framework for process discovery techniques. In: La Rosa, M., Loos, P., Pastor, O. (eds.) BPM 2016. LNCS, vol. 9850, pp. 57–72. Springer, Cham (2016). doi:10.1007/978-3-319-45348-4_4
De Medeiros, A.K.A., Weijters, A.J.M.M., Van Der Aalst, W.M.P.: Genetic process mining: an experimental evaluation. Data Min. Knowl. Discov. 14(2), 245–304 (2007)
De Weerdt, J., De Backer, M., Vanthienen, J., Baesens, B.: A multi-dimensional quality assessment of state-of-the-art process discovery algorithms using real-life event logs. Inform. Syst. 37(7), 654–676 (2012)
De Weerdt, J., Vanden Broucke, S., Vanthienen, J., Baesens, B.: Active trace clustering for improved process discovery. IEEE Trans. Knowl. Data Eng. 25(12), 2708–2720 (2013)
Delias, P., Doumpos, M., Grigoroudis, E., Manolitzas, P., Matsatsinis, N.: Supporting healthcare management decisions via robust clustering of event logs. Knowledge-Based Syst. 84, 203–213 (2015)
Di Ciccio, C., Mecella, M., Mendling, J.: The effect of noise on mined declarative constraints. In: Ceravolo, P., Accorsi, R., Cudre-Mauroux, P. (eds.) SIMPDA 2013. LNBIP, vol. 203, pp. 1–24. Springer, Heidelberg (2015). doi:10.1007/978-3-662-46436-6_1
Dijkman, R., Dumas, M., Van Dongen, B., Krik, R., Mendling, J.: Similarity of business process models: metrics and evaluation. Inform. Syst. 36(2), 498–516 (2011)
van Dongen, B., Dijkman, R., Mendling, J.: Measuring similarity between business process models. In: Bellahsène, Z., Léonard, M. (eds.) CAiSE 2008. LNCS, vol. 5074, pp. 450–464. Springer, Heidelberg (2008). doi:10.1007/978-3-540-69534-9_34
Ekanayake, C.C., Dumas, M., García-Bañuelos, L., La Rosa, M.: Slice, mine and dice: complexity-aware automated discovery of business process models. In: Daniel, F., Wang, J., Weber, B. (eds.) BPM 2013. LNCS, vol. 8094, pp. 49–64. Springer, Heidelberg (2013). doi:10.1007/978-3-642-40176-3_6
Evermann, J., Thaler, T., Fettke, P.: Clustering traces using sequence alignment. In: Reichert, M., Reijers, H.A. (eds.) BPM 2015. LNBIP, vol. 256, pp. 179–190. Springer, Cham (2016). doi:10.1007/978-3-319-42887-1_15
Ferreira, D., Zacarias, M., Malheiros, M., Ferreira, P.: Approaching process mining with sequence clustering: experiments and findings. In: Alonso, G., Dadam, P., Rosemann, M. (eds.) BPM 2007. LNCS, vol. 4714, pp. 360–374. Springer, Heidelberg (2007). doi:10.1007/978-3-540-75183-0_26
Folino, F., Greco, G., Guzzo, A., Pontieri, L.: Editorial: mining usage scenarios in business processes: outlier-aware discovery and run-time prediction. Data Knowl. Eng. 70, 1005–1029 (2011)
Fred, A., Lourenço, A.: Cluster ensemble methods: from single clusterings to combined solutions. Stud. Comput. Intell. 126, 3–30 (2008)
Goedertier, S., Martens, D., Vanthienen, J., Baesens, B.: Robust process discovery with artificial negative events. J. Mach. Learn. Res. 10, 1305–1340 (2009)
Greco, G., Guzzo, A., Pontieri, L., Saccà, D.: Discovering expressive process models by clustering log traces. IEEE Trans. Knowl. Data Eng. 18(8), 1010–1027 (2006)
Jagadeesh Chandra Bose, R.P., van der Aalst, W.M.P.: Abstractions in process mining: a taxonomy of patterns. In: Dayal, U., Eder, J., Koehler, J., Reijers, H.A. (eds.) BPM 2009. LNCS, vol. 5701, pp. 159–175. Springer, Heidelberg (2009). doi:10.1007/978-3-642-03848-8_12
Lange, T., Roth, V., Braun, M.L., Buhmann, J.M.: Stability-based validation of clustering solutions. Neural Comput. 16(6), 1299–1323 (2004)
Lee, Y., Lee, J.H., Jun, C.H.: Validation measures of bicluster solutions. Ind. Eng. Manag. Syst. 8(2), 101–108 (2009)
Lee, Y., Lee, J., Jun, C.H.: Stability-based validation of bicluster solutions. Pattern Recognit. 44(2), 252–264 (2011)
Maruster, L.: A machine learning approach to understand business processes. Eindhoven University of Technology (2003)
Mirkin, B.: Choosing the number of clusters. Wiley Interdiscip. Rev. Data Min. Knowl. Discov. 1, 252–260 (2011)
Song, M., Günther, C.W., van der Aalst, W.M.P.: Trace clustering in process mining. In: Ardagna, D., Mecella, M., Yang, J. (eds.) BPM 2008. LNBIP, vol. 17, pp. 109–120. Springer, Heidelberg (2009). doi:10.1007/978-3-642-00328-8_11
Tibshirani, R., Walther, G., Hastie, T.: Estimating the number of clusters in a data set via the gap statistic. J. R. Stat. Soc. Ser. B (Statistical Methodol.) 63, 411–423 (2001)
Van der Aalst, W., Adriansyah, A., Van Dongen, B.: Replaying history on process models for conformance checking and performance analysis. Wiley Interdiscip. Rev. Data Min. Knowl. Discov. 2(2), 182–192 (2012)
Weidlich, M., Polyvyanyy, A., Desai, N., Mendling, J., Weske, M.: Process compliance analysis based on behavioural profiles. Inform. Syst. 36(7), 1009–1025 (2011)
Weijters, A.J.M.M., van der Aalst, W.: Rediscovering workflow models from event-based data using little thumb. Integr. Comput. Eng. 10, 151–162 (2003)
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De Koninck, P., De Weerdt, J. (2017). Similarity-Based Approaches for Determining the Number of Trace Clusters in Process Discovery. In: Koutny, M., Kleijn, J., Penczek, W. (eds) Transactions on Petri Nets and Other Models of Concurrency XII. Lecture Notes in Computer Science(), vol 10470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55862-1_2
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