Abstract
In this paper, we propose a representation model that demonstrates hierarchical feature learning using nsNMF. We stack simple unit algorithm into several layers to take step-by-step approach in learning. By utilizing NMF as unit algorithm, our proposed network provides intuitive understanding of the feature development process. It is able to represent the underlying structure of feature hierarchies present in complex data in intuitively understandable manner. Experiments with document data successfully discovered feature hierarchies of concepts in data. We also observed that proposed method results in much better classification and reconstruction performance, especially for small number of features.
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References
Ahn, J.-H., Choi, S., Oh, J.-H.: A multiplicative up-propagation algorithm. In: Proceedings of the Twenty-First International Conference on Machine Learning, p. 3. ACM (2004)
Bengio, Y.: Learning deep architectures for ai. Foundations and Trends in Machine Learning 2(1), 1–127 (2009)
Bengio, Y., Lamblin, P., Popovici, D., Larochelle, H.: Greedy layer-wise training of deep networks. Advances in Neural Information Processing Systems 19, 153 (2007)
Cichocki, A., Zdunek, R.: Multilayer nonnegative matrix factorisation. Electronics Letters 42(16), 947–948 (2006)
Hinton, G.E., Osindero, S., Teh, Y.W.: A fast learning algorithm for deep belief nets. Neural Computation 18(7), 1527–1554 (2006)
Hubel, D.H., Wiesel, T.N.: Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. The Journal of Physiology 160(1), 106 (1962)
Lee, D.D., Seung, H.S.: Learning the parts of objects by non-negative matrix factorization. Nature 401(6755), 788–791 (1999)
Marcrquote Aurelio Ranzato, C.P., Chopra, S., LeCun, Y.: Efficient learning of sparse representations with an energy-based model. Advances in neural information processing systems 19, 1137–1144 (2007)
Pascual-Montano, A., Carazo, J.M., Kochi, K., Lehmann, D., Pascual-Marqui, R.D.: Nonsmooth nonnegative matrix factorization (nsnmf). IEEE Transactions on Pattern Analysis and Machine Intelligence 28(3), 403–415 (2006)
Rebhan, S., Eggert, J.P., Gross, H.-M., Körner, E.: Sparse and transformation-invariant hierarchical NMF. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D.P. (eds.) ICANN 2007. LNCS, vol. 4668, pp. 894–903. Springer, Heidelberg (2007)
Song, H.A., Lee, S.Y.: Hierarchical data representation model-multi-layer nmf. arXiv preprint arXiv:1301.6316 (2013)
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Song, H.A., Lee, SY. (2013). Hierarchical Representation Using NMF. In: Lee, M., Hirose, A., Hou, ZG., Kil, R.M. (eds) Neural Information Processing. ICONIP 2013. Lecture Notes in Computer Science, vol 8226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-42054-2_58
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DOI: https://doi.org/10.1007/978-3-642-42054-2_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-42053-5
Online ISBN: 978-3-642-42054-2
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