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2018 | OriginalPaper | Chapter

On Reducing Dimensionality of Labeled Data Efficiently

Authors : Guoxi Zhang, Tomoharu Iwata, Hisashi Kashima

Published in: Advances in Knowledge Discovery and Data Mining

Publisher: Springer International Publishing

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Abstract

We address the problem of reducing dimensionality for labeled data. Our objective is to achieve better class separation in latent space. Existing nonlinear algorithms rely on pairwise distances between data samples, which are generally infeasible to compute or store in the large data limit. In this paper, we propose a parametric nonlinear algorithm that employs a spherical mixture model in the latent space. The proposed algorithm attains grand efficiency in reducing data dimensionality, because it only requires distances between data points and cluster centers. In our experiments, the proposed algorithm achieves up to 44 times better efficiency while maintaining similar efficacy. In practice, it can be used to speedup k-NN classification or visualize data points with their class structure.

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Literature
1.
go back to reference Bidder, O.R., Campbell, H.A., Gómez-Laich, A., Urgé, P., Walker, J., Cai, Y., Gao, L., Quintana, F., Wilson, R.P.: Love thy neighbour: automatic animal behavioural classification of acceleration data using the k-nearest neighbour algorithm. PLoS One 9(2), e88609 (2014)CrossRef Bidder, O.R., Campbell, H.A., Gómez-Laich, A., Urgé, P., Walker, J., Cai, Y., Gao, L., Quintana, F., Wilson, R.P.: Love thy neighbour: automatic animal behavioural classification of acceleration data using the k-nearest neighbour algorithm. PLoS One 9(2), e88609 (2014)CrossRef
2.
go back to reference Carreira-Perpinán, M.A.: The elastic embedding algorithm for dimensionality reduction. In: ICML 2010, pp. 167–174 (2010) Carreira-Perpinán, M.A.: The elastic embedding algorithm for dimensionality reduction. In: ICML 2010, pp. 167–174 (2010)
3.
go back to reference Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines. ACM Trans. Intell. Syst. Technol. (TIST) 2(3), 27 (2011) Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines. ACM Trans. Intell. Syst. Technol. (TIST) 2(3), 27 (2011)
4.
go back to reference Fanty, M., Cole, R.: Spoken letter recognition. In: Advances in Neural Information Processing Systems, pp. 220–226 (1991) Fanty, M., Cole, R.: Spoken letter recognition. In: Advances in Neural Information Processing Systems, pp. 220–226 (1991)
5.
go back to reference Globerson, A., Roweis, S.T.: Metric learning by collapsing classes. In: Advances in neural information processing systems, pp. 451–458 (2006) Globerson, A., Roweis, S.T.: Metric learning by collapsing classes. In: Advances in neural information processing systems, pp. 451–458 (2006)
7.
go back to reference He, Y., Mao, Y., Chen, W., Chen, Y.: Nonlinear metric learning with kernel density estimation. IEEE Trans. Knowl. Data Eng. 27(6), 1602–1614 (2015)CrossRef He, Y., Mao, Y., Chen, W., Chen, Y.: Nonlinear metric learning with kernel density estimation. IEEE Trans. Knowl. Data Eng. 27(6), 1602–1614 (2015)CrossRef
9.
go back to reference Ioffe, S., Szegedy, C.: Batch normalization: accelerating deep network training by reducing internal covariate shift. In: International Conference on Machine Learning, pp. 448–456 (2015) Ioffe, S., Szegedy, C.: Batch normalization: accelerating deep network training by reducing internal covariate shift. In: International Conference on Machine Learning, pp. 448–456 (2015)
12.
go back to reference Kusner, M., Tyree, S., Weinberger, K., Agrawal, K.: Stochastic neighbor compression. In: International Conference on Machine Learning, pp. 622–630 (2014) Kusner, M., Tyree, S., Weinberger, K., Agrawal, K.: Stochastic neighbor compression. In: International Conference on Machine Learning, pp. 622–630 (2014)
13.
go back to reference Lang, K.: Newsweeder: learning to filter netnews. In: Proceedings of the 12th International Conference on Machine Learning, vol. 10, pp. 331–339 (1995)CrossRef Lang, K.: Newsweeder: learning to filter netnews. In: Proceedings of the 12th International Conference on Machine Learning, vol. 10, pp. 331–339 (1995)CrossRef
14.
go back to reference LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)CrossRef LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)CrossRef
16.
go back to reference Lu, J., Zhou, X., Tan, Y.P., Shang, Y., Zhou, J.: Neighborhood repulsed metric learning for kinship verification. IEEE Trans. Pattern Anal. Mach. Intell. 36(2), 331–345 (2014)CrossRef Lu, J., Zhou, X., Tan, Y.P., Shang, Y., Zhou, J.: Neighborhood repulsed metric learning for kinship verification. IEEE Trans. Pattern Anal. Mach. Intell. 36(2), 331–345 (2014)CrossRef
17.
go back to reference van der Maaten, L., Hinton, G.: Visualizing data using t-SNE. J. Mach. Learn. Res. 9(Nov), 2579–2605 (2008)MATH van der Maaten, L., Hinton, G.: Visualizing data using t-SNE. J. Mach. Learn. Res. 9(Nov), 2579–2605 (2008)MATH
18.
go back to reference Min, M.R., Maaten, L., Yuan, Z., Bonner, A.J., Zhang, Z.: Deep supervised t-distributed embedding. In: Proceedings of the 27th International Conference on Machine Learning (ICML 2010), pp. 791–798 (2010) Min, M.R., Maaten, L., Yuan, Z., Bonner, A.J., Zhang, Z.: Deep supervised t-distributed embedding. In: Proceedings of the 27th International Conference on Machine Learning (ICML 2010), pp. 791–798 (2010)
19.
go back to reference Nair, V., Hinton, G.E.: Rectified linear units improve restricted Boltzmann machines. In: Proceedings of the 27th International Conference on Machine Learning (ICML 2010), pp. 807–814 (2010) Nair, V., Hinton, G.E.: Rectified linear units improve restricted Boltzmann machines. In: Proceedings of the 27th International Conference on Machine Learning (ICML 2010), pp. 807–814 (2010)
20.
go back to reference Salakhutdinov, R., Hinton, G.E.: Learning a nonlinear embedding by preserving class neighbourhood structure. In: International Conference on Artificial Intelligence and Statistics, pp. 412–419 (2007) Salakhutdinov, R., Hinton, G.E.: Learning a nonlinear embedding by preserving class neighbourhood structure. In: International Conference on Artificial Intelligence and Statistics, pp. 412–419 (2007)
21.
go back to reference Villegas, M., Paredes, R.: Dimensionality reduction by minimizing nearest-neighbor classification error. Pattern Recogn. Lett. 32(4), 633–639 (2011)CrossRef Villegas, M., Paredes, R.: Dimensionality reduction by minimizing nearest-neighbor classification error. Pattern Recogn. Lett. 32(4), 633–639 (2011)CrossRef
Metadata
Title
On Reducing Dimensionality of Labeled Data Efficiently
Authors
Guoxi Zhang
Tomoharu Iwata
Hisashi Kashima
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-93040-4_7

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