Abstract
We present a message-passing based parallel algorithm for mining Correlated Heavy Hitters from a two-dimensional data stream. To the best of our knowledge, this is the first parallel algorithm solving the problem. We show, through experimental results, that our algorithm provides very good scalability, whilst retaining the accuracy of its sequential counterpart.
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References
Boyer, R., Moore, J.: MJRTY - a fast majority vote algorithm. Technical report 32, Institute for Computing Science, University of Texas, Austin (1981)
Boyer, R., Moore, J.S.: MJRTY - a fast majority vote algorithm. In: Boyer, R.S. (ed.) Automated Reasoning: Essays in Honor of Woody Bledsoe. Automated Reasoning Series, pp. 105–117. Kluwer Academic Publishers, Dordrecht (1991)
Cafaro, M., Epicoco, I., Aloisio, G., Pulimeno, M.: CUDA based parallel implementations of space-saving on a GPU. In: 2017 International Conference on High Performance Computing Simulation (HPCS), pp. 707–714, July 2017. https://doi.org/10.1109/HPCS.2017.108
Cafaro, M., Epicoco, I., Pulimeno, M., Aloisio, G.: On frequency estimation and detection of frequent items in time faded streams. IEEE Access 5, 24078–24093 (2017). https://doi.org/10.1109/ACCESS.2017.2757238
Cafaro, M., Pulimeno, M.: Merging frequent summaries. In: Proceedings of the 17th Italian Conference on Theoretical Computer Science (ICTCS 2016), vol. 1720. pp. 280–285. CEUR Proceedings (2016)
Cafaro, M., Pulimeno, M., Epicoco, I.: Parallel mining of time-faded heavy hitters. Expert Syst. Appl. 96, 115–128 (2018). https://doi.org/10.1016/j.eswa.2017.11.021, http://www.sciencedirect.com/science/article/pii/S0957417417307777
Cafaro, M., Pulimeno, M., Epicoco, I., Aloisio, G.: Mining frequent items in the time fading model. Inf. Sci. 370–371, 221–238 (2016). https://doi.org/10.1016/j.ins.2016.07.077
Cafaro, M., Pulimeno, M., Epicoco, I., Aloisio, G.: Parallel space saving on multi- and many-core processors. Concurr. Comput.: Pract. Exp. 30(7), e4160-n/a (2017). https://doi.org/10.1002/cpe.4160
Cafaro, M., Pulimeno, M., Tempesta, P.: A parallel space saving algorithm for frequent items and the hurwitz zeta distribution. Inf. Sci. 329, 1–19 (2016). https://doi.org/10.1016/j.ins.2015.09.003, http://www.sciencedirect.com/science/article/pii/S002002551500657X
Cafaro, M., Tempesta, P.: Finding frequent items in parallel. Concurr. Comput.: Pract. Exp. 23(15), 1774–1788 (2011). https://doi.org/10.1002/cpe.1761
Charikar, M., Chen, K., Farach-Colton, M.: Finding frequent items in data streams. In: Widmayer, P., et al. (eds.) ICALP 2002. LNCS, vol. 2380, pp. 693–703. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45465-9_59
Chen, L., Mei, Q.: Mining frequent items in data stream using time fading model. Inf. Sci. 257, 54–69 (2014). https://doi.org/10.1016/j.ins.2013.09.007, http://www.sciencedirect.com/science/article/pii/S0020025513006403
Cormode, G., Muthukrishnan, S.: An improved data stream summary: the count-min sketch and its applications. J. Algorithms 55(1), 58–75 (2005). https://doi.org/10.1016/j.jalgor.2003.12.001
Cormode, G., Muthukrishnan, S.: What’s hot and what’s not: tracking most frequent items dynamically. ACM Trans. Database Syst. 30(1), 249–278 (2005). https://doi.org/10.1145/1061318.1061325
Das, S., Antony, S., Agrawal, D., El Abbadi, A.: Thread cooperation in multicore architectures for frequency counting over multiple data streams. Proc. VLDB Endow. 2(1), 217–228 (2009). https://doi.org/10.14778/1687627.1687653
Demaine, E.D., López-Ortiz, A., Munro, J.I.: Frequency estimation of internet packet streams with limited space. In: Möhring, R., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 348–360. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45749-6_33
Epicoco, I., Cafaro, M., Pulimeno, M.: Fast and accurate mining of correlated heavy hitters. Data Min. Knowl. Discov. 32(1), 162–186 (2018). https://doi.org/10.1007/s10618-017-0526-x
Erra, U., Frola, B.: Frequent items mining acceleration exploiting fast parallel sorting on the GPU. Proc. Comput. Sci. 9, 86–95 (2012). https://doi.org/10.1016/j.procs.2012.04.010, http://www.sciencedirect.com/science/article/pii/S1877050912001317. Proceedings of the International Conference on Computational Science, ICCS 2012
Govindaraju, N.K., Raghuvanshi, N., Manocha, D.: Fast and approximate stream mining of quantiles and frequencies using graphics processors. In: Proceedings of the 2005 ACM SIGMOD International Conference on Management of Data, SIGMOD 2005, pp. 611–622. ACM (2005). https://doi.org/10.1145/1066157.1066227
Jin, C., Qian, W., Sha, C., Yu, J.X., Zhou, A.: Dynamically maintaining frequent items over a data stream. In: Proceedings Of CIKM, pp. 287–294. ACM Press (2003)
Karp, R.M., Shenker, S., Papadimitriou, C.H.: A simple algorithm for finding frequent elements in streams and bags. ACM Trans. Database Syst. 28(1), 51–55 (2003). https://doi.org/10.1145/762471.762473
Lahiri, B., Mukherjee, A.P., Tirthapura, S.: Identifying correlated heavy-hitters in a two-dimensional data stream. Data Min. Knowl. Disc. 30(4), 797–818 (2016). https://doi.org/10.1007/s10618-015-0438-6
Manku, G.S., Motwani, R.: Approximate frequency counts over data streams. In: VLDB, pp. 346–357 (2002)
Metwally, A., Agrawal, D., Abbadi, A.E.: An integrated efficient solution for computing frequent and top-k elements in data streams. ACM Trans. Database Syst. 31(3), 1095–1133 (2006). https://doi.org/10.1145/1166074.1166084
Misra, J., Gries, D.: Finding repeated elements. Sci. Comput. Program. 2(2), 143–152 (1982)
Roy, P., Teubner, J., Alonso, G.: Efficient frequent item counting in multi-core hardware. In: Proceedings of the 18th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD 2012, pp. 1451–1459. ACM (2012). https://doi.org/10.1145/2339530.2339757
Tangwongsan, K., Tirthapura, S., Wu, K.L.: Parallel streaming frequency-based aggregates. In: Proceedings of the 26th ACM Symposium on Parallelism in Algorithms and Architectures, SPAA 2014, pp. 236–245. ACM (2014). https://doi.org/10.1145/2612669.2612695
Wu, S., Lin, H., Gao, Y., Lu, D.: Novel structures for counting frequent items in time decayed streams. World Wide Web 20(5), 1111–1133 (2017). https://doi.org/10.1007/s11280-017-0433-5
Zhang, Y.: Parallelizing the weighted lossy counting algorithm in high-speed network monitoring. In: Second International Conference on Instrumentation, Measurement, Computer, Communication and Control (IMCCC), pp. 757–761 (2012). https://doi.org/10.1109/IMCCC.2012.183
Zhang, Y., Sun, Y., Zhang, J., Xu, J., Wu, Y.: An efficient framework for parallel and continuous frequent item monitoring. Concurr. Comput.: Pract. Exp. 26(18), 2856–2879 (2014). https://doi.org/10.1002/cpe.3182
Acknowledgements
The authors would like to thank the Supercomputing Center of the Euro-Mediterranean Center on Climate Changes, Foundation for granting the access to the Athena supercomputer machine.
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Pulimeno, M., Epicoco, I., Cafaro, M., Melle, C., Aloisio, G. (2018). Parallel Mining of Correlated Heavy Hitters. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2018. ICCSA 2018. Lecture Notes in Computer Science(), vol 10964. Springer, Cham. https://doi.org/10.1007/978-3-319-95174-4_48
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