Abstract
With the utilization of GPS devices and the development of location-based services, a massive amount of trajectory data has been collected and mined for many applications. Trajectory similarity computing, which identifies the similarity of given trajectories, is the fundamental functionality of trajectory data mining. The challenge in trajectory similarity computing comes from the noise in trajectories. Moreover, processing such a myriad of data also demands efficiency. However, existing trajectory similarity measures can hardly keep both accuracy and efficiency. In this paper, we propose a novel trajectory similarity measure termed ITS, which is robust to noise and can be evaluated in linear time. ITS converts trajectories into fixed-length vectors and compares them based on their respective vectors’ distance. Furthermore, ITS utilizes interpolation to get fixed-length vectors in linear time. The robustness of ITS owes to the interpolation, which makes trajectories aligned and points in trajectories evenly distributed. Experiments with 12 baselines on four real-world datasets show that ITS has the best overall performance on five representative downstream tasks in trajectory computing.
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References
Berndt, D.J., Clifford, J.: Using dynamic time warping to find patterns in time series. In: KDD, pp. 359–370 (1994)
Besse, P.C., Guillouet, B., Loubes, J., Royer, F.: Review and perspective for distance-based clustering of vehicle trajectories. IEEE Trans. Intell. Transp. Syst. 17(11), 3306–3317 (2016)
Ceikute, V., Jensen, C.S.: Vehicle routing with user-generated trajectory data. In: MDM, pp. 14–23 (2015)
Chen, L., Ng, R.T.: On the marriage of lp-norms and edit distance. In: VLDB, pp. 792–803 (2004)
Chen, L., Özsu, M.T., Oria, V.: Robust and fast similarity search for moving object trajectories. In: SIGMOD, pp. 491–502 (2005)
Hung, C., Peng, W., Lee, W.: Clustering and aggregating clues of trajectories for mining trajectory patterns and routes. VLDB J. 24(2), 169–192 (2015)
Ismail, A., Vigneron, A.: A new trajectory similarity measure for GPS data. In: IWGS 2015, pp. 19–22 (2015)
Kadous, M.W.: Temporal Classification: Extending the Classification Paradigm to Multivariate Time Series. Ph.D. thesis (2002)
Keogh, E.J., Pazzani, M.J.: Scaling up dynamic time warping for datamining applications. In: KDD, pp. 285–289 (2000)
Li, G., Hung, C., Liu, M., Pan, L., Peng, W., Chan, S.G.: Spatial-temporal similarity for trajectories with location noise and sporadic sampling. In: ICDE, pp. 1224–1235 (2021)
Li, R., et al.: JUST: JD urban spatio-temporal data engine. In: ICDE, pp. 1558–1569 (2020)
Li, X., Zhao, K., Cong, G., Jensen, C.S., Wei, W.: Deep representation learning for trajectory similarity computation. In: ICDE 2018, pp. 617–628 (2018)
Lin, B., Su, J.: Shapes based trajectory queries for moving objects. In: ACM-GIS, pp. 21–30 (2005)
Luo, Y., et al.: Deeptrack: monitoring and exploring spatio-temporal data: a case of tracking COVID-19. Proc. VLDB Endow. 13(12), 2841–2844 (2020)
Magdy, N., Sakr, M.A., Mostafa, T., El-Bahnasy, K.: Review on trajectory similarity measures. In: ICICIS, pp. 613–619 (2015)
Moreira-Matias, L., Gama, J., Ferreira, M., Mendes-Moreira, J., Damas, L.: Predicting taxi-passenger demand using streaming data. IEEE Trans. Intell. Transp. Syst. 14(3), 1393–1402 (2013)
Nanni, M., Pedreschi, D.: Time-focused clustering of trajectories of moving objects. J. Intell. Inf. Syst. 27(3), 267–289 (2006)
Pelekis, N., Kopanakis, I., Marketos, G., Ntoutsi, I., Andrienko, G.L., Theodoridis, Y.: Similarity search in trajectory databases. In: TIME 2007, pp. 129–140 (2007)
Ranu, S., P, D., Telang, A.D., Deshpande, P., Raghavan, S.: Indexing and matching trajectories under inconsistent sampling rates. In: ICDE 2015, pp. 999–1010 (2015)
Rohani, M., Gingras, D., Gruyer, D.: A novel approach for improved vehicular positioning using cooperative map matching and dynamic base station DGPS concept. IEEE Trans. Intell. Transp. Syst. 17(1), 230–239 (2016)
Salvador, S., Chan, P.: Toward accurate dynamic time warping in linear time and space. Intell. Data Anal. 11(5), 561–580 (2007)
Shang, S., Chen, L., Wei, Z., Jensen, C.S., Zheng, K., Kalnis, P.: Trajectory similarity join in spatial networks. Proc. VLDB Endow. 10(11), 1178–1189 (2017)
Su, H., Liu, S., Zheng, B., Zhou, X., Zheng, K.: A survey of trajectory distance measures and performance evaluation. VLDB J. 29(1), 3–32 (2020)
Ta, N., Li, G., Xie, Y., Li, C., Hao, S., Feng, J.: Signature-based trajectory similarity join. IEEE Trans. Knowl. Data Eng. 29(4), 870–883 (2017)
Vlachos, M., Gunopulos, D., Das, G.: Rotation invariant distance measures for trajectories. In: KDD, pp. 707–712 (2004)
Vlachos, M., Gunopulos, D., Kollios, G.: Discovering similar multidimensional trajectories. In: ICDE 2002, pp. 673–684 (2002)
Yuan, J., et al.: T-drive: driving directions based on taxi trajectories. In: ACM-GIS 2010, pp. 99–108 (2010)
Zhang, H., et al.: Trajectory similarity learning with auxiliary supervision and optimal matching. In: IJCAI, pp. 3209–3215 (2020)
Zheng, Y., Xie, X., Ma, W.: Geolife: a collaborative social networking service among user, location and trajectory. IEEE Data Eng. Bull. 33(2), 32–39 (2010)
Acknowledgements
This work is supported by Natural Science Foundation of Jiangsu Province (Grant Nos. BK20211307), and by project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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Liu, Y., Liu, A., Liu, G., Li, Z., Zhao, L. (2023). Towards Effective Trajectory Similarity Measure in Linear Time. In: Wang, X., et al. Database Systems for Advanced Applications. DASFAA 2023. Lecture Notes in Computer Science, vol 13943. Springer, Cham. https://doi.org/10.1007/978-3-031-30637-2_19
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DOI: https://doi.org/10.1007/978-3-031-30637-2_19
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