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A Hybrid Instance Selection Method Based on Convex Hull and Nearest Neighbor

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IE&EM 2019
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Abstract

With the increasing size of the data, reducing dataset to reduce computational complexity has become an important task. Instance selection is one of the common preprocessing processes in data mining, which can delete the redundant instances and noisy points from dataset. In the past, various instance selection algorithms have been proposed. Most of them are effective for selecting convex instances, but fail to achieve good performances when dealing with concave instances. This paper proposes a hybrid instance selection algorithm based on convex hull and nearest neighbor information. Firstly, he proposed algorithm identifies the nearest enemy for each data point, and then divides the dataset into several subsets by grouping the points, which have the same nearest enemy, into one subset. Finally, the convex hull algorithm is executed on each subset to select the convex hull points. Our algorithm is evaluated on 14 datasets and compared with some traditional instance selection algorithms. The experimental results show that the proposed algorithm performs better than other traditional algorithms.

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References

  1. Carbonera, J.L., Abel, M.: A density-based approach for instance selection. In: 2015 IEEE 27th International Conference on Tools with Artificial Intelligence (ICTAI). IEEE Computer Society (2015)

    Google Scholar 

  2. García, S., Derrac, J., Cano, J.R., et al.: Prototype selection for nearest neighbor classification: taxonomy and empirical study. IEEE Trans. Pattern Anal. Mach. Intell. 34(3), 417 (2012)

    Article  Google Scholar 

  3. He, H., Ma, Y.: Class imbalance learning methods for support vector machines, pp. 83–99. Wiley-IEEE Press (2013)

    Google Scholar 

  4. Nikolaidis, K., Goulermas, J.Y., Wu, Q.H.: A class boundary preserving algorithm for data condensation. Pattern Recogn. 44(3), 704–715 (2011)

    Article  Google Scholar 

  5. Leyva, E., González, A., Pérez, R.: Three new instance selection methods based on local sets: a comparative study with several approaches from a bi-objective perspective. Pattern Recogn. 48(4), 1523–1537 (2015)

    Article  Google Scholar 

  6. Lin, W.-C., Tsai, C.-F., Ke, S.-W., Hung, C.-W., Eberle, W.: Learning to detect representative data for large scale instance selection. J. Syst. Softw. 106, 1–8 (2015)

    Article  Google Scholar 

  7. Arnaiz-González, Á., Díez-Pastor, J.-F., Rodríguez, J.J., et al.: Instance selection of linear complexity for big data. Knowl.-Based Syst. 107, 83–95 (2016)

    Article  Google Scholar 

  8. Wilson, D.L.: Asymptotic properties of nearest neighbor rules using edited data. IEEE Trans. Syst. Man Cybern. SMC-2(3), 408–421 (1972)

    Article  Google Scholar 

  9. Aha, D.W., Kibler, D., Albert, M.K.: Instance-based learning algorithms. Mach. Learn. 6(1), 37–66 (1991)

    Google Scholar 

  10. Brighton, H., Mellish, C.: Advances in Instance Selection for Instance-Based Learning Algorithms. Kluwer Academic Publishers (2002)

    Google Scholar 

  11. Zhou, X., Jiang, W., Tian, Y., et al.: Kernel subclass convex hull sample selection method for SVM on face recognition. Neurocomputing 73(10–12), 2234–2246 (2010)

    Article  Google Scholar 

  12. Angiulli, F.: Fast nearest neighbor condensation for large data sets classification. IEEE Trans. Knowl. Data Eng. 19(11), 1450–1464 (2007)

    Article  Google Scholar 

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Correspondence to Jin Tian .

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Wang, S., Tian, J. (2020). A Hybrid Instance Selection Method Based on Convex Hull and Nearest Neighbor. In: Chien, CF., Qi, E., Dou, R. (eds) IE&EM 2019. Springer, Singapore. https://doi.org/10.1007/978-981-15-4530-6_1

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