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A Local Online Learning Approach for Non-linear Data

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Advances in Knowledge Discovery and Data Mining (PAKDD 2018)

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Abstract

The efficiency and scalability of online learning methods make them a popular choice for solving the learning problems with big data and limited memory. Most of the existing online learning approaches are based on global models, which consider the incoming example as linear separable. However, this assumption is not always valid in practice. Therefore, local online learning framework was proposed to solve non-linear separable task without kernel modeling. Weights in local online learning framework are based on the first-order information, thus will significantly limit the performance of online learning. Intuitively, the second-order online learning algorithms, e.g., Soft Confidence-Weighted (SCW), can significantly alleviate this issue. Inspired by the second-order algorithms and local online learning framework, we propose a Soft Confidence-Weighted Local Online Learning (SCW-LOL) algorithm, which extends the single hyperplane SCW to the case with multiple local hyperplanes. Those local hyperplanes are connected by a common component and will be optimized simultaneously. We also examine the theoretical relationship between the single and multiple hyperplanes. The extensive experimental results show that the proposed SCW-LOL learns an online convergence boundary, overall achieving the best performance over almost all datasets, without any kernel modeling and parameter tuning.

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Notes

  1. 1.

    http://cbcl.mit.edu/software-datasets/FaceData2.html.

  2. 2.

    https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/.

  3. 3.

    https://github.com/LIBOL/KOL.

References

  1. Cavallanti, G., Cesa-Bianchi, N., Gentile, C.: Tracking the best hyperplane with a simple budget perceptron. Mach. Learn. 69(2–3), 143–167 (2007)

    Article  Google Scholar 

  2. Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines. TIST 2(3), 27 (2011)

    Article  Google Scholar 

  3. Crammer, K., Dekel, O., Keshet, J., Shalev-Shwartz, S., Singer, Y.: Online passive-aggressive algorithms. JMLR 7, 551–585 (2006)

    MathSciNet  MATH  Google Scholar 

  4. Crammer, K., Kulesza, A., Dredze, M.: Adaptive regularization of weight vectors. In: NIPS, pp. 414–422 (2009)

    Google Scholar 

  5. Dekel, O., Shalev-Shwartz, S., Singer, Y.: The forgetron: a kernel-based perceptron on a budget. SIAM J. Comput. 37(5), 1342–1372 (2008)

    Article  MathSciNet  Google Scholar 

  6. Dredze, M., Crammer, K., Pereira, F.: Confidence-weighted linear classification. In: ICML, pp. 264–271. ACM (2008)

    Google Scholar 

  7. Freund, Y., Schapire, R.E.: Large margin classification using the perceptron algorithm. Mach. Learn. 37(3), 277–296 (1999)

    Article  Google Scholar 

  8. Friedman, J.H., Tukey, J.W.: A projection pursuit algorithm for exploratory data analysis. IEEE Trans. Comput. 100(9), 881–890 (1974)

    Article  Google Scholar 

  9. Gou, J., Zhan, Y., Rao, Y., Shen, X., Wang, X., He, W.: Improved pseudo nearest neighbor classification. KBS 70, 361–375 (2014)

    Google Scholar 

  10. Gu, Q., Han, J.: Clustered support vector machines. In: AISTATS, pp. 307–315 (2013)

    Google Scholar 

  11. Hoi, S.C., Wang, J., Zhao, P.: LIBOL: a library for online learning algorithms. JMLR 15(1), 495–499 (2014)

    MATH  Google Scholar 

  12. Jose, C., Goyal, P., Aggrwal, P., Varma, M.: Local deep kernel learning for efficient non-linear SVM prediction. In: ICML, pp. 486–494 (2013)

    Google Scholar 

  13. Kivinen, J., Smola, A.J., Williamson, R.C.: Online learning with kernels. IEEE Trans. Sig. Process. 52(8), 2165–2176 (2004)

    Article  MathSciNet  Google Scholar 

  14. Ladicky, L., Torr, P.: Locally linear support vector machines. In: ICML, pp. 985–992 (2011)

    Google Scholar 

  15. Lu, J., Hoi, S., Wang, J.: Second order online collaborative filtering. In: ACML, pp. 325–340 (2013)

    Google Scholar 

  16. Lu, J., Hoi, S.C., Wang, J., Zhao, P., Liu, Z.Y.: Large scale online kernel learning. JMLR 17(47), 1 (2016)

    MathSciNet  MATH  Google Scholar 

  17. MacQueen, J., et al.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Oakland, CA, USA, vol. 1, pp. 281–297 (1967)

    Google Scholar 

  18. Rosenblatt, F.: The perceptron: a probabilistic model for information storage and organization in the brain. Psychol. Rev. 65(6), 386 (1958)

    Article  Google Scholar 

  19. Wang, J., Wan, J., Zhang, Y., Hoi, S.C.: Solar: scalable online learning algorithms for ranking. In: ACL (2015)

    Google Scholar 

  20. Wang, J., Zhao, P., Hoi, S.C.: Cost-sensitive online classification. TKDE 26(10), 2425–2438 (2014)

    Google Scholar 

  21. Wang, J., Zhao, P., Hoi, S.C.: Soft confidence-weighted learning. ACM Trans. Intell. Syst. Technol. (TIST) 8(1), 15 (2016)

    Google Scholar 

  22. Wang, Z., Crammer, K., Vucetic, S.: Breaking the curse of kernelization: budgeted stochastic gradient descent for large-scale SVM training. JMLR 13, 3103–3131 (2012)

    MathSciNet  MATH  Google Scholar 

  23. Weinberger, K., Dasgupta, A., Langford, J., Smola, A., Attenberg, J.: Feature hashing for large scale multitask learning. In: ICML, pp. 1113–1120. ACM (2009)

    Google Scholar 

  24. Wu, P., Hoi, S.C., Xia, H., Zhao, P., Wang, D., Miao, C.: Online multimodal deep similarity learning with application to image retrieval. In: MM, pp. 153–162 (2013)

    Google Scholar 

  25. Zhao, P., Hoi, S.C.: Cost-sensitive online active learning with application to malicious URL detection. In: SIGKDD, pp. 919–927. ACM (2013)

    Google Scholar 

  26. Zhou, Z., Zheng, W.S., Hu, J.F., Xu, Y., You, J.: One-pass online learning: a local approach. Pattern Recogn. 51, 346–357 (2016)

    Article  Google Scholar 

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Correspondence to Xinxing Yang .

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Yang, X., Zhou, J., Zhao, P., Chen, C., Chen, C., Li, X. (2018). A Local Online Learning Approach for Non-linear Data. In: Phung, D., Tseng, V., Webb, G., Ho, B., Ganji, M., Rashidi, L. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2018. Lecture Notes in Computer Science(), vol 10938. Springer, Cham. https://doi.org/10.1007/978-3-319-93037-4_34

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  • DOI: https://doi.org/10.1007/978-3-319-93037-4_34

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